jorge, martin y andres una pieza grande de queso en oferta y la dividieron en partes iguales, jorge le regalo asu ermana la mitad del queso que le toco, que parte de de todo el queso recibio la ermana de jorge?

Answers

Answer 1

Jorge, Martin, and Andres bought a big piece of cheese in an offer, and they divided it equally.

Jorge gave his sister half of the cheese he got, so what part of the whole cheese did Jorge's sister receive?

To begin with, let us find out how many people shared the big piece of cheese. Three people divided the cheese into equal parts.Then they shared it. We are not sure how much cheese there was in the first place,

so let us call the total amount of cheese T.Since it was divided equally among three people, each person got T/3 cheese.Then Jorge gave his sister half of the cheese he got.So, his sister received 1/2 of T/6 or T/12 cheese.

Therefore, the sister of Jorge received T/12 of the entire cheese.

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Related Questions

Write the following words into words 340 253 5352740 253 535

Answers

The numbers 340, 253, 5352740, 253, and 535 can be written as "three hundred forty," "two hundred fifty-three," "five million three hundred fifty-two thousand seven hundred forty," "two hundred fifty-three," and "five hundred thirty-five" respectively.

The number 340 can be written as "three hundred forty." It consists of three hundreds, four tens, and zero ones.

The number 253 can be written as "two hundred fifty-three." It consists of two hundreds, five tens, and three ones.

The number 5352740 can be written as "five million three hundred fifty-two thousand seven hundred forty." It consists of five million, three hundreds of thousands, five tens of thousands, two thousand, seven hundred, and forty ones.

The number 253 can be written as "two hundred fifty-three." It consists of two hundreds, five tens, and three ones.

The number 535 can be written as "five hundred thirty-five." It consists of five hundreds, three tens, and five ones.

These are the written forms of the given numbers.

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A worker takes 5 hours to make 300 deyasHow much hours will a worker take to make 45 deyas

Answers

We can use a proportion to determine how long it would take a worker to make 45 days.

Let's set up the proportion:

(5 hours) / (300 deyas) = (x hours) / (45 deyas)

To solve for x, we can cross-multiply and then divide:

5 hours * 45 deyas = 300 deyas * x hours

225 hours = 300 deyas * x hours

Now, divide both sides by 300 days to isolate x:

x hours = 225 hours / 300 deyas

Simplifying the right side:

x hours = 0.75 hours

Therefore, a worker would take approximately 0.75 hours (or 45 minutes) to make 45 days.

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A swimming pool has a length of 50 meters, a width of 30 meters and a depth of 1. 75 meter. What is the volume?

Answers

To calculate the volume of a rectangular prism such as a swimming pool, you need to multiply the length, width, and depth of the pool.

Therefore, we can calculate the volume of the swimming pool as follows:

Volume of the swimming pool= Length × Width × Depth

Given that, The length of the swimming pool is 50 meters, the width of the swimming pool is 30 meters, the depth of the swimming pool is 1.75 meters.

Therefore, Volume of the swimming pool= Length × Width × Depth

= 50 × 30 × 1.75

= 2625 cubic meters.

The volume of the swimming pool is 2625 cubic meters. To find out the volume of a swimming pool with a length of 50 meters, a width of 30 meters and a depth of 1.75 meters, we will use the formula for the volume of a rectangular prism which is V = l × w × h.

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provide your own description of what you think it must be like to be a refugee in a protracted situation either as a camp-dweller or someone who is self-settled.

Answers

According to the information we can infer that being a refugee in a protracted situation, whether as a camp-dweller or self-settled, is characterized by prolonged displacement, limited resources, and uncertainty about the future.

What we think it must be a refugee?

Being a refugee in a protracted situation, whether as a camp-dweller or self-settled, is characterized by prolonged displacement, limited resources, and uncertainty about the future.

Refugees in such situations face challenges in accessing basic resources like food, water, shelter, healthcare, and education. They often live in temporary or makeshift accommodations for years or even decades, with limited prospects for a permanent solution. This uncertainty creates emotional strain and affects long-term planning.

According to the above we can conclude that many refugees demonstrate resilience and adaptability, building communities and support networks, finding ways to earn a livelihood, and pursuing education.

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What does this quote mean? "O friends, be men; so act that none may feel Ashamed to meet the eyes of other men. Think each one of his children and his wife, His home, his parents, living yet or dead. "

Answers

The quote emphasizes the importance of acting in a way that brings honor and respect, ensuring that one's actions align with societal expectations and moral values. It calls upon individuals to consider the impact of their behavior on their loved ones and their community.

The quote reflects a call for personal responsibility and ethical conduct. By urging individuals to "be men," it does not limit the message to a specific gender but rather encourages everyone to exhibit qualities associated with strength, integrity, and honor. The subsequent line highlights the significance of acting in a manner that preserves one's dignity and integrity, emphasizing the importance of living in a way that would not bring shame or disgrace upon oneself when facing others.

The second paragraph of the quote urges individuals to contemplate the repercussions of their actions on their loved ones and their broader social connections. It prompts individuals to think of their children, spouse, parents, and home, whether they are still alive or have passed away. This appeal to familial and personal relationships emphasizes the interconnectedness of human lives and the responsibility to act in a way that protects and uplifts one's family and community. The quote serves as a reminder that our actions have consequences beyond ourselves and that we should consider the potential impact on those who are closest to us. It encourages individuals to cultivate a sense of empathy, accountability, and social consciousness in their decision-making process.

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John prepared 3 liters of tomato soup for his book group. He has to serve the soup to each guest. A soup bowl holds 200 milliliters of soup. How many soup bowls will he be able to fill?

Answers

John prepared 3 liters (3000 milliliters) of tomato soup and each soup bowl holds 200 milliliters of soup. So the john will be able to filled 15 number of bowls.

John has 3000 milliliters of tomato soup. To find the number of soup bowls he can fill, we divide the total amount of soup by the capacity of each bowl: 3000 ml ÷ 200 ml/bowl = 15 bowls.

Therefore, John will be able to fill 15 soup bowls with the 3 liters of tomato soup he prepared.

The calculation is straightforward since we know the amount of soup and the capacity of each bowl. By dividing the total soup quantity by the bowl's capacity, we find the number of bowls that can be filled. In this case, 15 bowls can be filled, ensuring that each guest in John's book group receives a serving of soup.



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A woman bought some large frames for ​$19 each and some small frames for ​$9 each at a closeout sale. If she bought 27 frames for ​$343​, find how many of each type she bought.

Answers

Let x be the number of large frames and y be the number of small frames that a woman bought from the closeout sale.Therefore, the two equations that we can use to solve the problem are:

x + y = 27 ...(1)and19x + 9y = 343 ...(2)Multiplying equation (1) by 9 and subtracting it from equation (2), we get:19x + 9y = 343  ...(2)- (9x + 9y = 243) ...(3)10x = 100x = 10Thus, the woman bought 10 large frames

.Substituting x = 10 in equation (1), we get:10 + y = 27y = 27 - 10y = 17Thus, the woman bought 17 small frames. Therefore, the woman bought 10 large frames and 17 small frames.

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If 8-i is the sum of two complex numbers, and one of the binomials is 7 - 2i, which represents


the other binomial?

Answers

the other binomial is 1 + i.

We are given that 8-i is the sum of two complex numbers and one of the binomials is 7 - 2i. We are to find the other binomial.Let the other binomial be x + yi where x and y are real numbers. Then, 7 - 2i + x + yi = 8 - i => (7 + x) + (y - 2)i = 8 - iComparing real and imaginary parts on both sides, we get:7 + x = 8 => x = 1y - 2 = -1 => y = 1Hence, the other binomial is 1 + i.More than 100 words:The sum of two complex numbers is a complex number that is the result of adding two complex numbers. In mathematical notation, we write this as (a + bi) + (c + di) = (a + c) + (b + d)i. In this question, we are given that 8-i is the sum of two complex numbers. Let these two complex numbers be (x + yi) and (7 - 2i).Then, we have (x + yi) + (7 - 2i) = 8 - iExpanding the left-hand side, we get:x + yi + 7 - 2i = 8 - iRearranging the terms, we get:x + 7 + yi - 2i = 8 - iGrouping the real and imaginary parts, we get:x + 7 = 8 (real part)yi - 2i = -1 (imaginary part)Simplifying the first equation, we get:x = 1Substituting x = 1 into the second equation and solving for y, we get:y - 2 = -1y = 1

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david wants to install a fence around his garden. what is the total cost of fencing?

Answers

The total cost of fencing to David, based on the dimensions of the fence would be $ 996.

How to find the cost of fencing ?

Since the area of a rectangle is length times width, the other side must be:

240 sq ft / 12 ft

= 20 ft

For the side along the street (12 feet), using the more expensive fencing ($18 per linear foot):

Cost = 12 ft x $18/ft

= $216

For the other three sides (two sides of 20 feet and one of 12 feet), using the less expensive fencing ($15 per linear foot):

Cost = (20 ft + 20 ft + 12 ft) x $15/ft

= 52 ft x $15/ft

= $780

So, the total cost for the fencing will be:

Total cost = Cost of expensive fencing + Cost of less expensive fencing

Total cost = $216 + $780

= $996

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Full question is:

David wants to install a fence fence around his garden. The garden is rectangular and has an area of 240 square feet. One side of the garden is along the street and is 12 feet long. For this side of the garden, David will use fencing that costs 18$ per linear foot. For the other three sides of the garden, David will use fencing that costs 15$ per linear foot.

Identify the like terms in the algebraic expression. StartFraction 2 x over 5 EndFraction minus 5. 2 y 2. 2 StartFraction x over 3 EndFraction StartFraction 2 x over 5 EndFraction and –5. 2y StartFraction 2 x over 5 EndFraction and StartFraction x over 3 EndFraction 5. 2y 2. 2 2. 2 StartFraction x over 3 EndFraction.

Answers

The only like terms are StartFraction 2 x over 5 EndFraction and StartFraction x over 3 EndFraction.Like terms are those terms that have the same variables and the same exponent in them, and they can be combined or added.

Like terms are those terms that have the same variables and the same exponent in them, and they can be combined or added. From the given algebraic expressions, the like terms are:StartFraction 2 x over 5 EndFraction and StartFraction 2 x over 5 EndFraction2.2 and 5.2yStartFraction x over 3 EndFraction and StartFraction 2 x over 5 EndFraction

Given algebraic expression isStart Fraction 2 x over 5 EndFraction - 5.2y2. 2StartFraction x over 3 End FractionStart Fraction 2 x over 5 End Fraction and -5.2y are not like terms because the variable x is in different forms and y is also in different forms.So, the only like terms are StartFraction 2 x over 5 EndFraction and StartFraction x over 3 EndFraction.

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The altitude of the hypotenuse of a right triangle divides the hypotenuse into two segments. One segment is three times as long as the other. If the altitude is 12 millimeters long.


What are the lengths of the two segments? Round final answers to the nearest tenth

Answers

The lengths of the two segments are DA ≈ 2.6 mm and BD ≈ 7.8 mm.

Given the hypotenuse of a right triangle and the altitude of the hypotenuse divides it into two segments.

One segment is three times as long as the other and the altitude is 12 millimeters long.

We have to find the lengths of the two segments.

Let ABC be the right triangle with hypotenuse AB.

Let AD be the altitude of the hypotenuse, dividing AB into segments BD and DA, where BD is three times as long as DA.

So, DA = x, then BD = 3x

and we have x + 3x = 4x = AB  (hypotenuse)

Now, we will use Pythagorean Theorem to get the value of x and then find the lengths of two segments.

AD² + DA² = AB²

121 + x² = (4x)²

= 16x² - 121

Simplifying the above expression, we have:

15x² = 121

x² = sqrt(121/15)

x ≈ 2.6 mm

Therefore, DA ≈ 2.6 mm

and BD ≈ 7.8 mm (as BD = 3x)

Hence, the lengths of the two segments are DA ≈ 2.6 mm and BD ≈ 7.8 mm.

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PLS HELP


Describe the error in solving for one of the variables in the linear system


8x+2y=-12 and 5x-y=4

Answers

The error in solving for one of the variables in the linear system is likely a mistake made during the substitution or elimination method. Without further information, it's difficult to pinpoint the exact error.

However, common mistakes include miscalculations, misplacement of signs, or forgetting to distribute coefficients. Carefully review each step and double-check calculations to identify and rectify the error.

In this specific system, one possible error could be made during the elimination method. When attempting to eliminate the variable "y," one might mistakenly multiply the second equation by 2 instead of -2. This would lead to incorrect coefficients and ultimately yield an incorrect solution for "x" and "y." Always check the steps, signs, and calculations to ensure accuracy when solving linear systems.

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A rock is thrown upward from the top of a 112-foot high cliff overlooking the ocean at a speed


of 96 ft/s. When does the rock hit the ocean?

Answers

The rock hits the ocean approximately 5 seconds after it is thrown upward from the cliff.

To determine when the rock hits the ocean, we can use the equations of motion for vertical motion under the influence of gravity. The key equation is:

h = ut - 1/2gt^2 Where:

h = height (in this case, 112 feet, as it starts from the top of a 112-foot cliff)

u = initial velocity (96 ft/s, as the rock is thrown upward)

g = acceleration due to gravity (32 ft/s^2, assuming no air resistance)

t = time (unknown, we want to find when the height is 0, i.e., when it hits the ocean)

Substituting the known values into the equation, we have:

0 = 96t - 1/2 * 32 * t^2

Rearranging the equation, we get:

16t^2 - 96t = 0

Factoring out t, we have:

16t(t - 6) = 0

This equation gives us two possible solutions: t = 0 and t = 6. However, t = 0 represents the initial time when the rock is thrown, so we disregard it. Therefore, the rock hits the ocean approximately 6 seconds after it is thrown upward.

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You have 8 teaspoons of sugar. It takes 1 teaspoons of sugar to make 36 cupcakes. The function `t\left(s\right)=36s`represents the number of cupcakes c, that can be made with t teaspoons of sugar. What domain and range are reasonable for the function?

Answers

For the given function t(s) = 36s, let's determine the domain and range:

Domain:

The domain of a function refers to the set of possible values for the independent variable (sugar teaspoons in this case). Since the number of teaspoons of sugar cannot be negative, the domain is all non-negative real numbers. Therefore, the domain is represented as s ≥ 0, indicating that s must be greater than or equal to 0.

Range:

The range of a function refers to the set of possible values for the dependent variable (number of cupcakes in this case). The number of cupcakes cannot be negative, and it can be any whole number since it represents a count. Therefore, the range is all non-negative integers. It can be represented as[tex]t(s) = {0, 1, 2, 3, ...},[/tex] indicating that the number of cupcakes can be 0, 1, 2, 3, and so on.

Hence, the domain for the function is s ≥ 0 and the range is[tex]t(s) = {0, 1, 2, 3, ...}.:[/tex]

Domain:

The domain of a function refers to the set of possible values for the independent variable (sugar teaspoons in this case). Since the number of teaspoons of sugar cannot be negative, the domain is all non-negative real numbers. Therefore, the domain is represented as s ≥ 0, indicating that s must be greater than or equal to 0.

Range:

The range of a function refers to the set of possible values for the dependent variable (number of cupcakes in this case). The number of cupcakes cannot be negative, and it can be any whole number since it represents a count. Therefore, the range is all non-negative integers. It can be represented as [tex]t(s) = {0, 1, 2, 3, ...},[/tex] indicating that the number of cupcakes can be 0, 1, 2, 3, and so on.

Hence, the domain for the function is s ≥ 0 and the range is [tex]t(s) = {0, 1, 2, 3, ...}.[/tex]

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3) Helena has x dollars in her checking account. On July 8, she deposited


$1,870, k dollars, and $469.30. She also cashed a check fort dollars and one


for $91.40. Write an algebraic expression that represents the amount of


money in her account after the transactions.


O X + 2,247.90 +k-t


O x-k-t+1,870


O x + k + t + 469.30


O x + 1,788.20 +kt

Answers

The algebraic expression that represents the amount of money in Helena's account after the transactions is "x + 1,788.20 + k - t". Hence, the correct option is O x + 1,788.20 +kt.

Helena had x dollars in her account.

On July 8, she deposited $1,870, k dollars, and $469.30.

Therefore, the amount deposited by Helena is "1,870 + k + 469.30".

She also cashed a check for t dollars and one for $91.40.

Therefore, the amount she cashed is "t + 91.40".

To find the algebraic expression that represents the amount of money in her account after the transactions, we have to add the deposited amount and subtract the cashed amount from her initial balance.

x + 1,870 + k + 469.30 - t - 91.40x + 1,788.20 + k - t

Therefore, the algebraic expression that represents the amount of money in Helena's account after the transactions is "x + 1,788.20 + k - t".Hence, the correct option is O x + 1,788.20 +kt.

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A board game comes with a set of 8 cubical dice, each with side lengths of 2 centimeters. What is the total combined volume of the set of dice in cubic centimeters?

Answers

Answer:

[tex]8( {2}^{3} ) = 8(8) = 64[/tex]

The total combined volume of the 8 cubical dice is 64 cm³.

The dimensions of a room are 16 x 14 x 10 meters.

There are 4 windows of 1. 3 m x 1. 4 m and 2 doors of

2 m x 1 m. What will be the cost of white washingthe walls, if the rate of white washing is Rs 5 per m

2


?​

Answers

Therefore, the cost of white washing the walls will be Rs 5 × 588.72 = Rs 2943.60.

The total surface area of the four walls can be calculated by multiplying the perimeter of the room (2 × (length + width)) by the height of the room. In this case, the total surface area of the four walls is 2 × (16 + 14) × 10 = 600 square meters.

Next, we need to subtract the areas of the windows and doors from the total surface area of the walls. There are four windows with dimensions of 1.3 meters in height and 1.4 meters in width, so the total area of the windows is 4 × (1.3 × 1.4) = 7.28 square meters. There are also two doors with dimensions of 2 meters in height and 1 meter in width, so the total area of the doors is 2 × (2 × 1) = 4 square meters.

Subtracting the areas of the windows and doors from the total surface area of the walls, we get 600 square meters - (7.28 square meters + 4 square meters) = 588.72 square meters.

Finally, we can calculate the cost of white washing the walls by multiplying the rate per square meter (Rs 5) by the total surface area of the walls (588.72 square meters). Therefore, the cost of white washing the walls will be Rs 5 × 588.72 = Rs 2943.60.

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Nathan eats 10 times as many burritos as his mom each month. His dad eats 14 fewer burritos than Nathan each month. The family eats 80 total burritos each month. How many burritos does Nathan eat each month?



Write an equation to model this situation.

Answers

Nathan eats approximately 44.76 burritos each month.The equation representing this situation is M + 10M + (10M - 14) = 80.

Let's denote the number of burritos Nathan's mom eats as M. Therefore, Nathan eats 10 times as many burritos, which would be 10M.

Additionally, Nathan's dad eats 14 fewer burritos than Nathan, so his consumption would be 10M - 14.

The total number of burritos eaten by the family each month is given as 80.  

To solve the equation, we combine like terms: M + 10M + 10M - 14 = 80. Simplifying further, we have 21M - 14 = 80. Next, we isolate the variable by adding 14 to both sides: 21M = 94.

Finally, we divide both sides by 21 to solve for M: M = 94/21. Evaluating this, we find M ≈ 4.476.

Since Nathan eats 10 times as many burritos as his mom, he consumes approximately 10 * 4.476 ≈ 44.76 burritos each month.

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80% of 120 is what value?

Answers

80% of 120 is equal to 96.
80% of 120, you can multiply 120 by 0.8 since 80% is equivalent to 0.8 as a decimal.

80% of 120 = 0.8 × 120 = 96

Therefore, 80% of 120 is 96

Ten pounds of mixed birdseed sells for $7. 63 per pound. The mixture is obtained from two kinds of birdseed, with one variety priced at $5. 68 per pound and the other at $8. 93 per pound. How many pounds of each variety of birdseed are used in the mixture?

$5. 68/lb variety lb

$8. 93/lb variety lb

Answers

To obtain a mixture of 10 pounds of birdseed selling for $7.63 per pound, we need to use approximately 5.26 pounds of the $5.68 per pound variety and 4.74 pounds of the $8.93 per pound variety.

Let's assume the number of pounds of the $5.68 per pound variety is x, and the number of pounds of the $8.93 per pound variety is y. Since we want a total of 10 pounds in the mixture, we have the equation:

x + y = 10 -- Equation 1

The cost of the mixture per pound is given as $7.63. The cost of the $5.68 per pound variety is 5.68x, and the cost of the $8.93 per pound variety is 8.93y. So, we also have the equation:

(5.68x + 8.93y) / 10 = 7.63 -- Equation 2

To solve this system of equations, we can use substitution or elimination. By solving the equations, we find that x is approximately 5.26 pounds and y is approximately 4.74 pounds. Therefore, we need approximately 5.26 pounds of the $5.68 per pound variety and 4.74 pounds of the $8.93 per pound variety to obtain a 10-pound mixture selling for $7.63 per pound.

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Which set of statements explains how to plot a point at the location (Negative 2. 5, 3. 75)? Start at the origin. Move 2. 5 units left because the x-coordinate is -2. 5. -2. 5 is between -2 and -3. Move 3. 75 units up because the y-coordinate is 3. 75. 3. 75 is between 3 and 4. Start at the origin. Move 2. 5 units left because the x-coordinate is -2. 5. -2. 5 is between -2 and -3. Move 3. 75 units down because the y-coordinate is 3. 75. 3. 75 is between 3 and 4. Start at the origin. Move 2. 5 units up because the x-coordinate is -2. 5. -2. 5 is between -2 and -3. Move 3. 75 units left because the y-coordinate is 3. 75. 3. 75 is between 3 and 4. Start at the origin. Move 2. 5 units right because the x-coordinate is -2. 5. -2. 5 is between -2 and -3. Move 3. 75 units up because the y-coordinate is 3. 75. 3. 75 is between 3 and 4.

Answers

To plot a point at the location (-2.5, 3.75), start at the origin and move 2.5 units left along the x-axis because the x-coordinate is -2.5. Then, move 3.75 units up along the y-axis because the y-coordinate is 3.75.

To plot a point on a Cartesian coordinate system, you start at the origin (0, 0) and use the x and y coordinates to determine the position of the point. In this case, the x-coordinate is -2.5, which means you need to move left on the x-axis. Since -2.5 falls between -2 and -3, you move 2.5 units to the left from the origin.

Next, the y-coordinate is 3.75, indicating a movement along the y-axis. Since 3.75 falls between 3 and 4, you move 3.75 units up from the previous position. Combining these movements, you end up at the point (-2.5, 3.75) on the Cartesian plane.

It's important to note that the order of movement is significant. In this case, you move left along the x-axis first and then up along the y-axis. If the order were reversed, the resulting point would be different. By following the given set of statements, you correctly plot the point at the specified location.

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AD≅AE, \overline{BA} \parallel \overline{CE},BA∥CE, \overline{CB} \parallel \overline{DA}CB∥DAand \text{m}\angle DAE = 52^{\circ}.m∠DAE=52∘. Find \text{m}\angle BAD.m∠BAD.A

Answers

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

We are given that ,

[tex]$AD \cong AE$, $BA || CE$, $CB || DA$, and $m\angle DAE = 52^\circ$.[/tex]

To find [tex]$m\angle BAD$[/tex], we need to use the fact that

[tex]$BA || CE$ and that $AD \cong AE$.[/tex]

Statement: Given

[tex]$AD \cong AE$, $BA || CE$, $CB || DA$ and $\angle DAE = 52^\circ$.[/tex]

To find: [tex]$\angle BAD$.[/tex]

Solution:

Here is the figure that represents the given statements:

As we know that [tex]$BA || CE$[/tex],

so we can say that [tex]$\angle DAE$[/tex] and [tex]$\angle ECD$[/tex] are corresponding angles.

Thus, [tex]$\angle ECD = 52^\circ$.[/tex]

In [tex]$\triangle ACE$[/tex] , we have [tex]$\angle ACE + \angle ECD + \angle AEC = 180^\circ$[/tex].

As [tex]$CE || BA$, $\angle AEC = \angle BAD$[/tex]

So, we have [tex]$\angle ACE + \angle ECD + \angle BAD = 180^\circ$[/tex]

Putting values of [tex]$\angle ECD$ and $\angle ACE$[/tex] in the above equation,

we get

[tex]\begin{align*}\angle BAD + \angle ACB + 52^\circ &= 180^\circ \\ \Rightarrow \angle BAD &= 180^\circ - 52^\circ - 80^\circ \\ \Rightarrow \angle BAD &= 48^\circ\end{align*}Thus, the measure of $\angle BAD$[/tex] is [tex]$48^\circ$[/tex].

Hence, option (B) is correct.

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The size of a computer monitor is given as the length of the screens diagonal d in inches.The equation d=5/6

Answers

Therefore, the size of a computer monitor whose diagonal measures d = 5/6 inches is 5/6 inches.

Most computer monitors range from 19 to 34 inches, measured diagonally from corner to corner. The average user will be happy with 22-24" screens. This range provides enough screen real estate for general productivity tasks and even light multitasking without overcrowding your desktop.

Full HD (1080p) stays fairly sharp on monitors of this size. As they're not too big, you can easily place them in a setup with 2 screens. A 24-inch monitor is also suitab

The size of a computer monitor is given as the length of the screens diagonal d in inches.

The equation d=5/6.

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Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add? Original (Gallons) Added (Gallons) New (Gallons) Amount of Bleach 0. 8 0 0. 8 Amount of Solution 8 x 8 x StartFraction 0. 8 Over 8 x EndFraction times StartFraction 5 Over 100 EndFraction = 1 StartFraction 0. 8 Over 8 x EndFraction times = StartFraction 5 Over 100 EndFraction StartFraction 0. 8 Over 8 x EndFraction = StartFraction 100 Over 5 EndFraction StartFraction 0. 8 Over 8 x EndFraction divided by StartFraction 5 Over 100 EndFraction = 1.

Answers

Darryl should add 8 gallons of water to the 8-gallon 10% bleach solution to make a 5% bleach solution.

Darryl should add 8 gallons of water to the 8-gallon 10% bleach solution to make a 5% bleach solution .The correct equation that Darryl can use to find x, the number of gallons of water he should add, is:

0.8 / (8 + x) = 5/100

Let's break down the equation and explain each part:

The numerator 0.8 represents the amount of bleach in the original 8-gallon solution.

The denominator (8 + x) represents the total volume of the new solution after adding x gallons of water.

5/100 represents the desired concentration of the new solution, which is 5% bleach.

By setting up this equation, we equate the amount of bleach in the original solution (0.8 gallons) to the amount of bleach in the new solution (5% of the total volume, which is (8 + x) gallons).

Simplifying the equation:

0.8 / (8 + x) = 5/100

To solve for x, we can cross-multiply:

0.8 * 100 = 5 * (8 + x)

80 = 40 + 5x

Subtracting 40 from both sides:

80 - 40 = 5x

40 = 5x

Dividing both sides by 5:

40 / 5 = x

8 = x

Therefore, Darryl should add 8 gallons of water to the 8-gallon 10% bleach solution to make a 5% bleach solution.

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a clown needed 275 balloons for a party he was going to but the balloons only came in packs of 2 how many packs wouls he need to bye

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the clown would need to buy 138 packs of balloons to have a total of 275 balloons for the party.

IfIf the balloons only come in packs of 2, we need to determine how many packs the clown would need to buy in order to have a total of 275 balloons.

To find the number of packs needed, we divide the total number of balloons (275) by the number of balloons in each pack (2).

275 balloons ÷ 2 balloons per pack = 137.5 packs

Since we cannot have a fraction of a pack, we round up to the nearest whole number.

Therefore, the clown would need to buy 138 packs of balloons to have a total of 275 balloons for the party.

Note: Rounding up to the nearest whole number ensures that the clown has enough balloons and avoids having a fractional number of packs.

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Last week, the price, in dollars, of a gallon of gasoline was g. This week, the price of gasoline per gallon increased by 5%. Which expressions represent this week's price, in dollars, of a gallon of gasoline?

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The expression that represents this week's price, in dollars, of a gallon of gasoline is 1.05g.

Given that last week, the price, in dollars, of a gallon of gasoline was g. This week, the price of gasoline per gallon increased by 5%.We are to find which expressions represent this week's price, in dollars, of a gallon of gasoline.

If the price of gasoline per gallon last week was g, and it has increased by 5% this week, then this week's price of gasoline per gallon will be 5% greater than last week's price, which is equal to 1.05 times the price of last week's gasoline per gallon.Therefore, this week's price, in dollars, of a gallon of gasoline is given by the expression 1.05g.

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Great Grizzly Park sells adult tickets at


price x and tickets for children 12 and


under at price y. The total charge for


3 adults and 4 children is $235. The


total charge for 4 adults and 5 children


is $305. Which system of equations


represents the charge for tickets?

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The system of equations that represents the charge for tickets is: 2x + 3y = 2353x + 4y = 305.

The following system of equations represents the charge for tickets for Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y:2x + 3y = 2353x + 4y = ,Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adults and 4 children is $235.

Let the price of an adult ticket be x and the price of a child's ticket be y. Using the given information, we can form two equations representing the total charge for the two given cases. The first equation, representing the charge for 3 adults and 4 children is:3x + 4y = 235Multiplying this equation by 4, we get:12x + 16y = 940...........(1)The second equation, representing the charge for 4 adults and 5 children is:4x + 5y = 305.

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Three interior angles of a quadrilateral have measures of 111 degrees, 134 degrees, and 69 degrees. Find the fourth angle measure.

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A quadrilateral is a four-sided polygon. The sum of all interior angles of any quadrilateral is 360 degrees.

Now, we are supposed to find out the fourth interior angle measure of the quadrilateral given that the measures of three angles are 111, 134, and 69 degrees. In order to do that, we must add the measures of the known three interior angles and then subtract the sum from 360 degrees in order to find the fourth interior angle.The fourth angle measure can be found using the formula,Fourth angle measure = 360 - (sum of the measures of three interior angles)Substituting the values,Fourth angle measure = 360 - (111 + 134 + 69)Fourth angle measure = 360 - 314 Fourth angle measure = 46

The fourth interior angle of the given quadrilateral has a measure of 46 degrees.

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If mWVX = (13x + 9)° and mZWXZ = (5x + 36)°, find mZWXY

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The value of mZWXY is 103.5° , mWVX = (13x + 9)° and mZWXZ = (5x + 36)°

To find: mZWXY

Here, mWVX and mZWXY are two angles that are formed when the two parallel lines are intersected by a transversal. Therefore,mWVX = mZWXY (alternate interior angles)

and mZWXZ is the third angle that is formed and the sum of the three angles is equal to 180°.

So,mWVX + mZWXY + mZWXZ = 180°

Therefore,mZWXY + mZWXY + (5x + 36)°

= 180°13x + 9 + (5x + 36)°

= 180°18x + 45

= 180°18x

= 180° - 45x

= 135/18x = 7.5

Therefore, mZWXY = mWVX= (13 × 7.5 + 9)°= 103.5°

Hence, the value of mZWXY is 103.5°.

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The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below. Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last Week This Week Mean 19. 7 cm 19. 3 cm Mean Absolute Deviation 4. 6 cm 5. 2 cm The difference in the mean rainfall is approximately what percent of the mean absolute deviation of the this week’s rainfall? 8% 23% 27% 67%.

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The difference in mean rainfall is approximately 23% of the mean absolute deviation of this week's rainfall. This is calculated by dividing the difference in means (0.4 cm) by the mean absolute deviation of this week's rainfall (5.2 cm) and multiplying by 100.

The difference in means (0.4 cm) divided by the mean absolute deviation of this week's rainfall (5.2 cm) gives a ratio of approximately 0.0769. Multiplying this by 100 gives the percentage, which is approximately 7.69%. Rounded to the nearest whole number, this is approximately 8%. Therefore, the difference in mean rainfall is approximately 8% of the mean absolute deviation of this week's rainfall.

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