Question 8
Which division expression is the given figure modeling?
A
B
C
D
1
4÷3
3÷/1/1
1
12 ÷ 4
3 ÷ 1/1/
1
1

Question 8Which Division Expression Is The Given Figure Modeling?ABCD1433/1/1112 43 1/1/11

Answers

Answer 1

The division problem provided by the model shown here is [tex]3[/tex] ÷  [tex]\frac{1}{4}[/tex].

How are fractions divided?

The first step of dividing fractions is to get the reciprocal of a second fraction, which involves flipping its numerator and denominator. Multiply all two numerators after that. Multiply the 2 denominators after that. Then finish, if required, simplify the fractions.

Simple division: What is it?

Simple Division: Little numbers can be divided into groups and pieces using the simple division method in mathematics. Divide easy and basic division problems into terms that can be divided using simple division sums. Arithmetic, subtraction, multiplying, & division are the four fundamental mathematical operations.

Given:

We have three section [tex]1+ 1 + 1= 3[/tex]

[tex]= \frac{4}{12}[/tex]

[tex]= \frac{1}{3}[/tex]

In this case, the model yields the division issue.

[tex]3[/tex] ÷ [tex]\frac{1}{4}[/tex]

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Related Questions

Solve and then answer the question below.
*MUST SHOW WORK*
Half a number plus eight is fourteen minus a number. How many solutions does this equation have?

Answers

To answer the question, this equation has only one solution, which is x = 4.

What is equation?

An equation is a mathematical statement that shows the equality between two expressions. It usually consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=).

The expressions on both sides can contain variables, constants, and mathematical operations such as addition (+), subtraction (-), multiplication (*), division (/), exponentiation (^), and others. The goal of an equation is to find the values of the variables that make both sides equal.

by the question.

Let's start by setting up the equation:

[tex]1/2x + 8 = 14 - x[/tex]

where x is the number, we're trying to find.

Now let's simplify the equation by combining like terms:

[tex]3/2x + 8 = 14[/tex]

Subtracting 8 from both sides:

[tex]3/2x = 6[/tex]

Multiplying both sides by 2/3:

[tex]x = 4[/tex]

So, the solution to the equation is x = 4.

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Under certain conditions, sound can travel 768 miles per hour. Under these conditions, Alan hears thunder 45 seconds after seeing lightening. His friend, Ryan hears thunder after seeing the same lightening in 30 seconds. What is the longest and the shortest possible distance that Alan and his friend are apart.

Answers

The shortest possible distance between Alan and Ryan is 11,250 miles, and the longest possible distance is 12,000 miles

What is distance?

Distance is a numerical measurement of how far apart two objects or points are. It is a scalar quantity, meaning that it has magnitude but no direction. Distance is usually measured in units such as meters, kilometers, miles, or feet, depending on the system of measurement used.

What is sound?

Sound is a type of physical energy that is produced by vibrating objects and travels through a medium, such as air, water, or solids, as a series of pressure waves. When an object vibrates, it creates a disturbance in the surrounding medium that causes molecules to move back and forth, creating areas of high and low pressure that propagate outward from the source of the sound.

In the given question,

Let d be the distance between Alan and Ryan in miles. Then, the time it takes for sound to travel this distance is given by d/768. Therefore, we have:

d/768 = 45 - 30 = 15

Solving for d, we get:

d = 15 x 768 = 11520

So the distance between Alan and Ryan is 11520 miles.

If we take the lower bound of 750 miles per hour, we can calculate the minimum distance between Alan and Ryan as follows:

d/750 = 15

d = 15 x 750 = 11250

Therefore, the minimum distance between Alan and Ryan is 11250 miles.

If we take the upper bound of 800 miles per hour, we can calculate the maximum distance between Alan and Ryan as follows:

d/800 = 15

d = 15 x 800 = 12000

Therefore, the maximum distance between Alan and Ryan is 12000 miles.

Therefore, the shortest possible distance between Alan and Ryan is 11,250 miles, and the longest possible distance is 12,000 miles.

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A sample of automobiles traversing a certain stretch of highway is selected. Each automobile travels at a roughly constant rate of speed, though speed does vary from auto to auto. Let x = speed and y = time needed to traverse this segment of highway. Would the sample correlation coefficient be closest to 0.9,0.3,-3,or -0.9? Explain.
The right answer is -0.9, but I do not know the reason.

Answers

The sample correlation coefficient would be closest to -0.9.

Here's why:

Correlation Coefficient: The correlation coefficient is a statistical measure of the degree of correlation (linear relationship) between two variables. Pearson’s correlation coefficient is the most widely used correlation coefficient to assess the correlation between variables.

Pearson’s correlation coefficient (r) ranges from -1 to 1. A value of -1 denotes a perfect negative correlation, 1 denotes a perfect positive correlation, and 0 denotes no correlation. There is a negative correlation between speed and time. As the speed of the car increases, the time needed to traverse the segment decreases. So, the sample correlation coefficient would be negative.

Since the sample size is large enough, the sample correlation coefficient should be close to the population correlation coefficient. The population correlation coefficient between speed and time should be close to -1, which implies that the sample correlation coefficient should be close to -1.

Therefore, the sample correlation coefficient would be closest to -0.9.

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If Rich decides to make no payments during the 4. 5 years, the interest will be capitalized at the end of that period. A. What will the new principal be when he begins making loan payments? b. How much interest will he pay over the llfe of the loani 1. Suppose Rich only paid the interest during his 4 years in school and th

Answers

a) The new principal (principal + capitalized interest) when Rich begins making loan payments will be $9,425.10.

b) The total interest that Rich will pay over the life of the loan is $4,914.20.

Simple interest (S.I.) is a method of calculating the amount of interest on a specific principal amount at a certain rate. For example, when one takes out a loan of Rs. 5000, at the rate of 10 p.A. Two years The person's two years of interest will be the money borrowed by SI.

Interest on student loans is based on simple interest. If the student does not pay interest, the only interest capitalized is that for the period during which the payment was not made.

Some students choose to pay interest during the non-repayment period to reduce the capitalized interest and principal during the repayment period.

Capitalization refers to the addition of interest to the principal amount.

Period of student loan = 10 years

The amount of the federal unsubsidized student loan = $7,900

Interest rate = 4.29%

Capitalized interest during the non-payment time = $1,525.10 ($7,900 x 4.29% x 4.5)

New principal when Rich begins making loan payments = $9,425.10 ($7,900 + $1,525.10)

Total interest for loan = $4,914.20 ($7,900 x 4.29% x 14.5)

Complete Question:

Rich is attending a 4-year college. As a freshman, he was approved for a 10-year, federal unsubsidized student loan in the amount of $7,900 at 4.29%. He knows he

has the option of beginning repayment of the loan in 4.5 years. He also knows that during this non-payment time, interest will accrue at 4.29%.

If Rich decides to make no payments during the 4.5 years, the interest will be capitalized at the end of that period.

a. What will the new principal be when he begins making loan payments?

b. How much interest will he pay over the life of the loan?

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the combined score on this test ranges from 400 to 1600. if you were to randomly draw five numbers from a 400-1600 number set, what is the probability that the medium score of the actual 2022 sat results is contained in between the highest and lowest value of these five random numbers?

Answers

The combined score on the 2022 SAT test ranges from 400 to 1600. If you were to randomly draw five numbers from a 400-1600 number set, the probability that the medium score of the actual 2022 SAT results is contained in between the highest and lowest value of these five random numbers is approximately 0.004%

How do we find the probability?

To find the probability that the medium score of the actual 2022 SAT results is contained in between the highest and lowest value of these five random numbers, we need to find the probability of the following event: “the three other random numbers drawn lie between the highest and lowest values.

The probability of choosing one of the five numbers that falls within the range is (1600 – 400)/1201 = 1/2.25.

The first number can be any number within the 400-1600 range, so the probability is 1.The second number must lie within the range created by the highest and lowest values of the first number, which has a width of 1201. Thus, the probability is 1201/3201.

The third number must lie within the range created by the highest and lowest values of the first two numbers, which has a width of 801. Thus, the probability is 801/2401.The fourth and fifth numbers must lie within the range created by the highest and lowest values of the first three numbers, which has a width of 401.

Thus, the probability is 401/1601.Therefore, the probability of the medium score of the actual 2022 SAT results being between the highest and lowest values of these five random numbers is (1/2.25) * (1201/3201) * (801/2401) * (401/1601) * 1 = 0.000038 or approximately 0.004%.

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PLEASE HELP MARKING BRAINLEIST JUST ANSWER ASAP AND BE CORRECT

Answers

Answer:

180

Step-by-step explanation:

Form an equation

27x+17=180

Solve it for x  

x = 6.0recurring

the perimeter is 180

Let me know if it helps

Given a square with area a, you can use the formula P = 4a² to find the
perimeter P of the square. Find the perimeter of a square that has an area of 64 m².

Answers

The perimeter of the square is 256 m.

What ia area?

Area is a measure of the amount of two-dimensional space enclosed by a closed figure or shape. It is usually measured in square units, such as square meters, square feet, or square centimeters.

What is a Square?

A square is a regular quadrilateral with four equal sides and four right angles. It is a special case of a rectangle and a rhombus, and its properties are a combination of both.

In the given question,

We can start by using the formula for the area of a square, which is:

a = s²

where a is the area and s is the length of one side of the square.

If the area of the square is 64 m², then we have:

64 = s²

Solving for s, we get:

s = √64 = 8 m

Now, we can use the formula for the perimeter of a square in terms of its area:

P = 4a²

Substituting a = 64, we get:

P = 4(64) = 256 m

Therefore, the perimeter of the square is 256 m.

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Given the function y = 4x + 3 do the following. Find its average rate of change: from x = 2 to x = 5

Answers

Answer: 4 is the average rate of change

Step-by-step explanation:

The equation to find the average rate of change is:

[tex]\frac{f(x_{2})-f(x_{1} ) }{x_{2}-x_{1} }[/tex]

So f(2)= 11 and f(5)=23 then you plug these numbers in:

[tex]\frac{23-11}{5-2}[/tex] = [tex]\frac{12}{3}[/tex] = 4

we assume there is sometimes sunny days and sometimes rainy days, and on day 1, which we're going to call d1, the probability of sunny is 0.9. and then let's assume that a sunny day follows a sunny day with 0.8 chance, and a sunny day follows a rainy day with 0.6 chance. so, what are the chances that d2 is sunny?

Answers

Probability of D2 being sunny = 0.78.

On day 1, which is called D1, the probability of sunny is 0.9. It is also given that a sunny day follows a sunny day with 0.8 chance, and a sunny day follows a rainy day with 0.6 chance.

Therefore, we need to find the chances that D2 is sunny.

There are two possibilities for D2: either it can be a sunny day, or it can be a rainy day.

Now, Let us find the probability of D2 being sunny.

We have the following possible cases for D2.

D1 = Sunny; D2 = Sunny

D1 = Sunny; D2 = Rainy

D1 = Rainy; D2 = Sunny

D1 = Rainy; D2 = Rainy

The probability of D1 being sunny is 0.9.

When a sunny day follows a sunny day, the probability is 0.8.

When a sunny day follows a rainy day, the probability is 0.6.

Therefore, the probability of D2 being sunny is given by the formula:

Probability of D2 being sunny = (0.9 × 0.8) + (0.1 × 0.6) = 0.72 + 0.06 = 0.78.

Therefore, the probability that D2 is sunny are 0.78 or 78%.

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Question 8 (4 points)
For a meat raffle, 100 tickets were sold.
The following were prizes:
number of winners
1
4
15
prize
grand prize - $1000 cash
$250 meat package
$50 meat package
What is the probability of winning the grand prize? 1/20
What is the expected value for someone buying a single ticket for $10.00 ? $

Answers

There’s 100 tickets being sold so the grand cash prize would be 1000 and 250 meat package the probability of winning would be 1/14 the expected value would be 15

PLS HELP MEEEEEEE ASAP

Answers

Answer:

[tex]{ \sf{a = { \blue{ \boxed{{53 \: \: \: \: \: \: \: \: }}}}} \: cm}[/tex]

Step-by-step explanation:

[tex] { \mathfrak{formular}}\dashrightarrow{ \rm{4 \times side \: length}}[/tex]

Each side has length of a?

[tex]{ \tt{perimeter = a + a + a + a}} \\ \dashrightarrow{ \tt{ \: 212 = 4a}} \\ \\ \dashrightarrow{ \tt{4a = 212}} \: \\ \\ \dashrightarrow{ \tt{a = \frac{212}{4} }} \: \: \\ \\ { \tt{a = 53 \: cm}}[/tex]

लगाउनुहोस् । The capacity of a closed cylindrical tank of height 2 m. is 3080 liters. Find the base area of the tank.​

Answers

11.87 m² metal sheet would be needed to make the base area of tank.

Volume of the cylinder

Volume of cylinder, determines how much material it can carry, is determined by the cylinder's volume. A cylinder is a three-dimensional structure having two parallel, identical bases that are congruent.

It is given that capacity of a closed cylindrical vessel of height 2 m is 3080 liters

Let us assume that Radius of cylinder = r

Then Volume of cylinder = π ×r² ×h

= 2π ×r²× m³

1 m³ = 1000 liters

= 2000 π r²  liters

Volume of tank = Capacity

2000 π r² = 3080

=> 2000 × (22/7) × r² = 3080

=> r² = 49/100

=> r = 7/10 m

=> r = 0.7 m

Base Area of tank = TSA = 2πrh + 2πr²

= 2×(22/7)(0.7)×2 + 2×(22/7)×(0.7)²

= 3.0772 +8.792

= 111.87 m²

Hence, 11.87 m² metal sheet would be needed to make it.

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I NEED HELP ON THIS ASAP!!!

Answers

The system of inequalities to represent the constraints of the situation are x ≤ 260, y ≤ 320, and x + y ≤ 360.

What is system of inequalities?

A group of two or more linear inequalities are grouped together and graphed on a coordinate plane to discover the solution that concurrently solves all of the inequalities. Each inequality forms a half-plane on the coordinate plane, and the location where all the half-planes overlap is where the system is solved. Each point inside the feasible area meets all of the system's inequalities. This region is known as the feasible region. To identify the optimum solution given a set of constraints, systems of linear inequalities are frequently utilised in optimization issues.

Let us suppose the number of boards of Mahagony sold = x.

Let us suppose the number of black walnut boards sold = y.

According to the given problem the equation can be set as follows:

x ≤ 260 (the company has 260 boards of mahogany available)

y ≤ 320 (the company has 320 boards of black walnut available)

x + y ≤ 360 (the company expects to sell at most 360 boards of wood)

Hence, the system of inequalities to represent the constraints of the situation are x ≤ 260, y ≤ 320, and x + y ≤ 360.

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Anita borrowed ₹6000 from a bank at 15% interest rate per annum. Find the interest and
amount to be paid at the end of 3 years.

Answers

Answer: The interest and amount to be paid at the end of 3 years is Rs.8700

Step-by-step explanation:

let P ,R, T be the Principle amount , Rate of interest and Time

Given that ,

             P= 6000rs

             R= 15%

             T=3 years

Interest= PRT÷ 100

                      =6000rs×15r×3t÷100

                       =2700rs

value to be paid after 3 years  = 6000rs+2700rs

                                                             = 8700rs

Determine whether the graph is that of a function. If it is, use the graph to
find its domain and range, the intercepts, if any, and any symmetry with
respect to the x-axis, the y-axis, or the origin.

Answers

Answer:

D

Step-by-step explanation:

First, yes, it is a function. Functions are defined as having one output per input, and given a number on this graph, we can find only one output.

Domain is the range of x-values in a graph. The domain here is from [tex]-\pi[/tex] to [tex]\pi[/tex].

Range is the range of y-values in a graph. The range here is from -1 to 1.

This graph has three intercepts at [tex](-\pi ,0)(0,0)(\pi ,0)[/tex].

Symmetry: This graph has rotational symmetry, meaning it can be rotated about a point to map onto itself. Here, we can rotate it 180 degrees about the origin to map onto itself.

Although I can't see the final two points for answer D, answer A is similar but the symmetry portion is wrong, leading me to believe that it must be D.

Let me know if this helped by hitting thanks or brainliest! If not, comment below and I'll get back to you ASAP.

Work out the recipricol of 0.5

Answers

Answer:

the answer is 2

Step-by-step explanation:

this answer will be 200⁰0000000000⁰00000⁸⁰643367897⁶43677443⁵=5.0

Mrs. Perez's class donated 99 different products for the food drive. One-ninth of it was vegetables,2/3 pasta,
and 2/9 was soup. How much of each product did they donate?

Answers

Simplifying Mrs. Perez's class donated 11 units of vegetables, 66 units of pasta, and 22 units of soup.

What does the term "simplify expression" mean?

The process of solving a math problem is simply known as simplifying an expression. An expression is simplified when it is written in the most straightforward way feasible

vegetables = (1/9) x 99

Simplifying this expression, we get:

vegetables = 11

So the class donated 11 units of vegetables.

Next, we can figure out how much of the donation was pasta. We know that 2/3 of the donation was pasta, so we can set up the equation:

pasta = (2/3) x 99

Simplifying 66 units homemade pasta, 22 units of soup, and 11 units of veggies were all provided by Mrs. Perez's students.

Which expression should I simplify?

A math difficulty is simply solved by simplifying the expression. When you simplify a phrase, your goal is essentially to make it as simple as you can. There shouldn't be any more multiplication, dividing, adding, or removing to be done at the conclusion.

veggies = 1/9 times 99

When we condense this statement, we get:

eleven vegetables

Hence, the class gave away 11 units of produce.

We can then determine what proportion of the contribution was pasta. Given that we know that pasta made up 2/3 of the donation, we can construct the following equation:

spaghetti equals (2/3) x 99

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Tiago sells sunflower oil in large tins and extra-large tins.
The large tin and the extra-large tin are mathematically similar.

The volume of the extra-large tin is 75% more than the volume of the large tin. Both tins are cylinders.
The radius of the large tin is 20 cm.

Calculate the radius of the extra-large tin.​

Answers

Answer:

24 cm (to nearest cm)

Step-by-step explanation:

XLV = extra large tin volume (cm³)

LV = large tin volume (cm³)

XLR = extre large tin radius (cm)

LR = large tin radius (cm) = 20

XLV = 1.75 × LV

Since the tins are geometrically similar cylinders, we can infer that the volumes and radii of the 2 tins are related;

We know the relationship between the volume of the two tins, i.e. the XL tin is 75% greater in volume than the L tin;

This means the volumetric scale factor or multiplier is ×1.75;

Subsequently, we know:

XLV = 1.75 × LV

Similarly, there is a relationship between the radii of the tins;

The relationship is, however, slightly different;

[tex]XLR = (\sqrt[3]{1.75}) \times LR[/tex]

We need to take the cube root of the volumetric scale factor, reason being, the radius is a linear dimension unlike volume;

Easy way to figure this is radius is in cm, volume is in cm³;

So:

XLR = 1.205... × LR

XLR = 1.205... × 20

XLR = 24.101... --> 24 cm (to nearest cm)


ab +3a² - 7a+ab+a² simplify this algebraic expression ​

Answers

Simplifying the algebraic expression ab + 3a² - 7a + ab + a² = a(4a + 2b - 7)

What is an algebraic expression?

An algebraic expression is a mathematical expression in which letters are used to represent the variables.

Since we have the algebraic expression ab + 3a² - 7a + ab + a², and we want to simplify it. We proceed as follows

ab + 3a² - 7a + ab + a²

First, we collect the like terms together

ab + 3a² - 7a + ab + a² = 3a² + a²- 7a + ab + ab

Adding the similar terms together, we have

= 3a² + a²- 7a + ab + ab

= 4a²- 7a + 2ab

=  4a²- 7a + 2ab

Factorizing out a, we have that

= a(4a - 7 + 2b)

= a(4a + 2b - 7)

So, ab + 3a² - 7a + ab + a² = a(4a + 2b - 7)

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Idil drove 12 miles in 1/5an hour. On average, how fast did she drive, in miles per hour

Answers

If Idil drove 12 miles in 1/5an hour on average, then she drove at an average speed of 60 miles per hour.

To calculate the average speed of Idil's car in miles per hour, we need to divide the distance she drove (12 miles) by the time it took her to drive that distance (1/5 hour):

Average speed = distance ÷ time

Average speed = 12 miles ÷ (1/5) hour

To divide by a fraction, we can multiply by its reciprocal, so:

Average speed = 12 miles × 5/1 hour

Average speed = 60 miles per hour

Therefore, Idil drove at an average speed of 60 miles per hour.

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the two sides of a right triangle opposite the non-right angles are called

Answers

The two sides of a right triangle opposite the non-right angles are called as adjacent and opposite angle or Legs.

A triangle is a three-sided regular polygon in which the total of any two sides is always larger than the sum of the third side.

A right-angled triangle is one with one of its internal angles equal to 90 degrees, or any angle is a right angle. As a result, this triangle is also known as the right triangle or the 90-degree triangle. In trigonometry, the correct triangle is very significant.

A right-angled triangle is a triangle in which one of the angles is 90 degrees. The total of the other two angles is 90 degrees. The sides that include the right angle are perpendicular and form the triangle's base. The third side is known as the hypotenuse, and it is the longest of the three sides.

The three sides of the right triangle are connected. Pythagoras' theorem explains this relationship. This theorem states that in a right triangle,

Perpendicular² + Base² = Hypotenuse²

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biconditional of that of two angles are supplementary,then the sum of their measures is 180

Answers

Answer:

just a Condit

Step-by-step explanation:

hfjgygdhydv htfhdfjyfdg hyfjkg

Answer:

If two angles are supplementary, then the sum of their measures is 180°.

how do you use TAN in equations and what is it?

Answers

Answer:

TAN is a mathematical function in trigonometry that stands for tangent. It is used to calculate the tangent of an angle in a right triangle, which is defined as the ratio of the length of the opposite side to the length of the adjacent side.

In equations, you can use TAN to find the value of the tangent of an angle. For example, if you have an angle of 30 degrees in a right triangle and you want to find the value of the tangent of that angle, you can use the TAN function in your calculator or programming language.

The syntax of the TAN function is usually "tan(x)", where x is the angle in radians. If your calculator or programming language uses degrees instead of radians, you may need to convert the angle to radians first using the conversion formula: radians = degrees * (pi/180).

For example, to find the value of the tangent of 30 degrees, you can use the TAN function as follows:

In degrees mode: TAN(30) = 0.57735027

In radians mode: TAN(30*pi/180) = 0.57735027

TAN can be used in various trigonometric equations and identities to solve for unknown sides or angles of a right triangle.

Step-by-step explanation:

a ramp 27ft long rises to a platform. the bottom of the platform is 16ft from the foot of the ramp. find , the angle of elevation of the ramp. round your answer to the nearest tenth of a degree.

Answers

Angle of elevation of the ramp with a height of 27ft and a platform of 16ft is approximately 59.35°.


What is the angle of elevation?

The ramp is 27ft long and rises to a platform, the bottom of the platform is 16ft from the foot of the ramp.

We need to find the angle of elevation of the ramp.

The angle of elevation of the ramp is the angle made by the ramp with the horizontal.

Let ABC be the ramp and D be the platform, as shown below: Let AB = 16ft and BC = 27ft.

We need to find the angle ABD.

Consider right-angled ΔABC In right-angled ΔABC,

we have:

tan⁻¹ (BC / AB)

θ  = tan⁻¹ (27 / 16)

θ ≈ 59.35°

Hence, the angle of elevation of the ramp is approximately 59.35°.

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Fractions MUST SHOW WORKING!!

Answers

Total seats in plane: 186

108+64+14

5/7 of 14 is: 10

14÷7= 2

2x5= 10

5/16 of 64 is: 20

64÷16=4

5×4= 20

5/9 of 108 is: 60

108÷9= 12

12x5= 60

60+20+10=90

90/186 of seats are being used

simplified: 15/31

No

VERY IMPORTANT DBA !!!

Answers

Table C represents a linear relationship that is also proportional. This is because the ratio of the output (y) to the input (x) is always constant, which is a characteristic of proportional relationships.

What is a linear equation?

A linear equation is an algebraic equation that represents a straight line on a graph. In general, a linear equation takes the form:

y = mx + b

A linear relationship between two variables, x and y, is one in which the change in y is directly proportional to the change in x. This means that for any change in x, there is a corresponding change in y that can be expressed as a constant multiple of x.

For example, if we have a linear relationship y = mx + b, where m is the slope of the line and b is the y-intercept, then if we increase x by 1 unit, y will increase by m units. This relationship holds true for all values of x and y along the line.

A proportional relationship, on the other hand, is a special case of a linear relationship in which the ratio of y to x is always the same constant. This means that if we increase x by 1 unit, y will increase by a constant multiple of x. In other words, the relationship between x and y is one of scaling, where the size of y is always a fixed multiple of the size of x.

Therefore, Table C represents a linear relationship that is also proportional. This is because the ratio of the output (y) to the input (x) is always constant, which is a characteristic of proportional relationships.

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QUESTION 3
A pan of brownies is cut into eight equal rows. Two thirds of one of those rows is what fraction of the whole pan.

Answers

Answer:

1/12

Step-by-step explanation:

Each row would be 1/8 of the whole pan. Now multiply 1/8 by 2/3.

Multiply the numerators: 1*2=2

Multiply the denominators: 8*3=24

Your answer: 2/24 or 1/12 simplified (dividing both top and bottom by 2)

Hope this helps. :)

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

[tex]\frac{2}{22}[/tex] = [tex]\frac{1}{11}[/tex]

I drew a pan when I divided into 8 rows.  Then I divided that up inot 2/3.  In the first row that is divided into 3 parts, I want one of those 2 parts.  The total parts are 22.  2/22

if the gross weight of a bag of rice is 25.8 Kg and the net weight is 25 Kg, then...

a. The tare of the rice is _ grams

b. the tare percentage of the rice is _ % ​

Answers

(a) the tare οf the rice is 800 grams. and (b) the tare percentage οf the rice is 3.10%.

What is Percentage?

A rate, number, οr amοunt in each hundred

a. The tare οf the rice is the weight οf the packaging οr cοntainer used tο hοld the rice. It can be calculated by subtracting the net weight οf the rice frοm the grοss weight οf the bag:

Tare weight = Grοss weight - Net weight

Tare weight = 25.8 Kg - 25 Kg

Tare weight = 0.8 Kg

Tο cοnvert this tο grams, we can multiply by 1000:

Tare weight = 0.8 Kg × 1000

Tare weight = 800 grams

Therefοre, the tare οf the rice is 800 grams.

b. The tare percentage οf the rice is the percentage οf the grοss weight that is accοunted fοr by the tare weight. It can be calculated using the fοrmula:

Tare percentage = (Tare weight / Grοss weight) × 100%

Substituting the values we fοund earlier, we get:

Tare percentage = (800 g / 25.8 Kg) × 100%

Tare percentage = 3.10%

Therefοre, the tare percentage οf the rice is 3.10%.

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Identify the type of sequence 56,49,42,35,28,21

Answers

It is Arithmetic Sequence. An ordered group of numbers with a shared difference between each succeeding term is known as an arithmetic sequence.

For the given sequence

d= 49-56 = -7

d= 42-49 = -7

Thus, there is -7 as a common difference between the terms.

The distance between succeeding terms in an arithmetic series is always the same. It is often referred to as an arithmetic series or arithmetic progression. The following statement can be used to represent an arithmetic sequence: a, (a + d), (a + 2 d), (a + 3 d),..., where a is the first term and d is the constant difference between values.

To determine the sum of an arithmetic sequence, it is generally simple to add or subtract all the terms in a short series together. An individual can quickly determine the sum of an arithmetic series for a particular number of terms by using the generic formula for the nth term of an arithmetic sequence.

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A number exceeds 20% of itself by 40. find the number.
WITH STEPS

Answers

Answer:

50

Step-by-step explanation:

Let the number = x.

20% of the number is 20% of x = 0.2x.

Since the number exceeds 20% of itself by 40, then teh number minus 20% of itself is 40.  

x - 0.2x = 40

0.8x = 40

x = 40/0.8

x = 50

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