The total number of hours Mayerlin worked is 21 and (g + n) respectively.
What is addition?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. When two whole numbers are added, the sum or total of those values is obtained.
Given that, Mayerlin gets paid $20 per hour to work at the grocery store and $19 per hour to work at the nursery.
Since Mayerlin works 11 hours at the grocery store and 10 hours at the nursery, the total number of hours she worked is:
11 + 10
= 21
Now, if, Mayerline works g hours at the grocery store and n hours at the nursery, the total number of hours she worked is:
g + n
Hence, the total number of hours Mayerlin worked is 21 and (g + n) respectively.
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write the equation of a parabola whose vertex is (-3,4) and passes through: (2,8). Put in vertex form.
The equation of the parabola that has a vertex (-3,4) and passes through (2,8) is 25y = 4x² + 24x + 13.
What is parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the DirectX and focus, respectively.
Given:
The vertex = (-3, 4) and the point = (2, 8)
Write the equation using the standard form given below,
[tex]y = a (x - h)^2 + k[/tex]
y = a[x - (-3)]² + 4
y = a(x + 3)² + 4
Now put the coordinates,
8 = a (2 + 3)² + 4
8 = 25a + 4
a = 4 / 25
Put the value of a in the above equation,
y = 4/25 × (x + 3)² + 4
25y = 4 (x² + 9 +6x) + 100
25y = 4x² + 36 +24x + 100
25y = 4x² + 24x + 13
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Ryanne is 14. Her brother's age is three more than half her age. How old is her brother?
OA 7
OB. 8.5
OC. 10
OD. 31
Question
Answer:
10 years old
Step-by-step explanation:
a restaurant is introducing a new gluten-free recipe for the topping in its baked zucchini recipe. the chef will continue to use this topping if less than 8% of her customers complain about the new taste. using a random sample of customers, she conducts a hypothesis test with h0: the complaint rate is 8%, and ha: the complaint rate is less than 8%. what is a type i error and its consequence in this context?
By hypothesis testing, The chef believes the complaint rate is less than 8%, when in fact it is not less than 8%. The chef continues to use the new recipe but experiences a large number of unsatisfied customers.
What does testing your hypotheses mean?
To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample.
First, a hazy assumption about the parameter or distribution is made.
What is hypothesis testing, and how can it be used?
A statistician will test a hypothesis about a population parameter in a process known as hypothesis testing. The type of data used in the study and its purpose will determine the methodology the analyst uses.
The plausibility of a hypothesis is evaluated using sample data in a process known as hypothesis testing.
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Given 4 and one tenth times negative 4 times 5 over 12, determine the product.
The word problem 4 and one tenth times negative 4 times 5 over 12 have a product of negative 8 and one fifth
How to find the product of the word problemMultiplication is one of the basic mathematical operator which is used to solve the given problem. It is the inverse of division. the result of multiplication is called the product
Rewriting the word problem 4 and one tenth times negative 4 times 5 over 12 to figures
4 1/10 * -4 * 5/10
solving the equation
= 4 1/10 * -4 * 5/10
= 41/10 * -4 * 5/10
= -41/5
= -8 1/5
The product of the multiplication is negative 8 and one fifth
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what is 22 divided by a number s
Answer:
22 divided by 2 is 11
Step-by-step explanation:
Graph the line −2x − 3y = 12.
The graph shows a line through the points 0 comma 4 and 6 comma 0.
The graph shows a line through the points 0 comma negative 4 and 6 comma 0.
The graph shows a line through the points 0 comma 4 and negative 6 comma 0.
The graph shows a line through the points 0 comma negative 4 and negative 6
Answer:
its d I did the test hope its helps
Nick has two pet rabbits.His Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit,If nich's Flemish rabbit weighs 12 more pounds than his Holland lop rabbit,how much does his Flemish giant rabbit weight?
Answer:The Flemish giant rabbit weighs 32 pounds.
Step-by-step explanation:
Miguel’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skateboard is $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard?
The required percent decrease in the price of the skateboard is 40%.
What is the percentage?
A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.
Here, we have
Original price = $84.50
sale price = $50.70
Percent decrease = 84.50-50.70/84.50 × 100 = 40%
Hence, the required percent decrease in the price of the skateboard is 40%.
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A cereal box says that now it contains 20% more originally it came with 18.5 ounces of cereal how much cereal does the box come with now
Answer:
Step-by-step explanation:
Step-by-step explanation: the original weight of a cereals is ounces. Now according to question, new weight of cereals is more of original weight of cereals. Therefore, New weight of cereals will be formulated as Hence, the new weight of cereals is ounces.
Use arrow notation to describe the translation of point P(–10, 1) to point P′(–16, –1).
Answer: In order to describe a translation using arrow notation, we need to specify the direction and distance of the translation. In the case of the given translation, point P is translated to point P' by moving 6 units to the left and 2 units down. This can be represented using arrow notation as follows:
P' = P ← 6 ↓ 2
Here, the symbol ← represents a leftward movement, and the symbol ↓ represents a downward movement. The numbers 6 and 2 indicate the distance of the movement in the respective directions. This means that point P is translated to point P' by moving 6 units to the left and 2 units down from its original position.
What’s the force on an object with a mass of 10 kg and an acceleration of 4 m/s
The force on the object is 40N
What is force?Force can be described as the influence that can change the motion of an object.
It is seen as an external agent having the capability of changing a body's state of motion or rest.
It causes b in velocity of an object with mass , that is, to accelerate. Force can also be described as either a push or a pull.
It is described as a vector quantity, that is, it has both magnitude and direction.
The formula for determining force is given as;
F = ma
Where;
f is the force on the objectm is the massa is the accelerationSubstitute the values
F = 10(4)
F = 40N
Hence, the value is 40N
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Please help asap ill give brainlest
The solutions to the equation word problems are as follows;
1) Amount jane will have is 50 + 2d
2) Amount Elis will have = 24 + 6d
3) The equation is; 50 + 2d = 24 + 6d
4) Amount each has saved = $63
How to solve Algebra Word Problems?We are given that;
Amount Jane has = $50
Amount Elis has = $24
Amount saved by Jane each day = $2
Amount saved by Elis each day = $6
1) After d days of saving, amount jane will have is;
A = 50 + 2d
2) After d days of saving, amount Elis will have is;
A = 24 + 6d
3) The equation that will be used to show when Joan and Elis would have saved same amount is;
50 + 2d = 24 + 6d
4) 50 + 2d = 24 + 6d
26 = 4d
d = 26/4
d = 6.5 days
Amount each has saved = 50 + 2(6.5) = $63
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you're selling vegetarian sandwiches for $3 each and turkey sandwiches for $4 each. you sell 25 sandwiches for a total of $85. how many vegetarian and how many turkey sandwiches did you sell
Answer:
You sold 15 vegetarian sandwiches and 10 turkey sandwiches.
Step-by-step explanation:
First, let's call the number of vegetarian sandwiches sold "V" and the number of turkey sandwiches sold "T".
We can set up the following equation: 3V + 4T = 85
Next, we need to find the values of V and T that satisfy this equation. To do this, we can use the fact that V and T must be whole numbers since we cannot sell a fraction of a sandwich.
We can start by trying V = 1 and T = 6. Plugging these values into the equation, we get: 3(1) + 4(6) = 18 + 24 = 42
Since 42 is not equal to 85, this means that V and T cannot both be 1 and 6.
We can try other values of V and T that are whole numbers until we find a combination that satisfies the equation. One way to do this is to use trial and error.
For example, we can try V = 2 and T = 5, which gives us: 3(2) + 4(5) = 6 + 20 = 26 This is still not equal to 85, so we can try other values. We can also use the fact that V + T = 25 (since we sold a total of 25 sandwiches) to help us solve the equation.
If we set V + T = 25, then we can rewrite the original equation as: 3V + 4(25 - V) = 85 Solving for V, we get: 3V + 100 - 4V = 85 Combining like terms, we get: -V = 15 Dividing both sides by -1, we get: V = 15
Since V + T = 25, this means that T = 25 - 15 = 10
Therefore, we sold 15 vegetarian sandwiches and 10 turkey sandwiches.
3 ^ 21 is how many time as great value of 3 ^ 19
The exponent [tex]3^{21}[/tex] is 9 times greater than the exponent [tex]3^{19}[/tex]
What are Exponents?
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Solution:
To solve this type of question all we need to know are the Rules of Exponents with their help any question of this type can be solved
Since we are required to find the number of times the value os greater so we will divide the numbers
3^21 / 3^19
By rule of exponents if a^b/a^c then we can write it as a^(b-c)
Similarly 3^21 / 3^19 = 3^(21 - 19) = 3^2 = 9
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there are 97 men and 3 women in an organization. a simple random sample of 5 people is taken to form a committee. what is the probability that the committee includes all 3 women?
The probability that the committee includes all 3 women is 0.00018
In this question, we have been given there are 97 men and 3 women in an organization.
A simple random sample of 5 people is taken to form a committee.
We need to find the probability that the committee includes all 3 women.
Total number of people in the organization: 97 + 3 = 100
Usinng combination formula the possible number of 5 people committee:
100C5
= 100! / 5!(100 - 5)!
= 75287520
The number of outcomes for the committee includes all 3 women would be:
5C3 = (97C2)*3
= 13968
So, the probability that the committee includes all 3 women would be,
P = 13968 / 75287520
P = 0.00018
Therefore, the required probability is 0.00018
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Part A: Given the function g(x) = |x-5 ,describe the graph of the function, including the vertex, dom
Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| + 3, what transformation occurs from
The vertex domain of g(x)=|X-7| is (7,0) (-∞,∞) and (0,∞) and the function f(x)=|x| is vertically shifted.
What is graph of the function?In mathematics, the set of ordered pairs with the (x,y)(x,y) is known as the graph of a function, where f(x)=y. x and f are Cartesian coordinates of points in two-dimensional space, and in the typical scenario where they are real numbers, they constitute a subset of this plane.Instead of the pairs ((x,y),z) and ((x,y),z) as in the definition above, the graph for functions of two variables, i.e. functions whose domain consists of pairs (x,y), (x,y), is typically the set of ordered triples (x,y,z) and (x,y,z) where A surface for a continuous real-valued function of two real variables, this set is a subset of three-dimensional space.Hence, The vertex domain of g(x)=|X-7| is (7,0) (-∞,∞) and (0,∞) and the function f(x)=|x| is vertically shifted.
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A pool has some initial amount of water in it. Then it starts being filled so the water level rises at
a rate of 6 centimeters per minute. After 20 minutes, the water level is 220 centimeters.
Graph the relationship between the pool's water level (in centimeters) and time (in inches minutes).
Answer:
To graph the relationship between the pool's water level and time, we can start by creating a table of values for the water level at different times. Here is an example of such a table:
Time (minutes) Water Level (centimeters)
0 0
1 6
2 12
3 18
4 24
5 30
6 36
7 42
8 48
9 54
10 60
11 66
12 72
13 78
14 84
15 90
16 96
17 102
18 108
19 114
20 120
We can then plot these values on a graph, with the time on the x-axis and the water level on the y-axis. The resulting graph would be a straight line that slopes upwards, starting at the origin (0, 0) and ending at (20, 120).
The graph shows that the water level in the pool increases linearly with time. The slope of the line represents the rate at which the water level is increasing, which in this case is 6 centimeters per minute.
Step-by-step explanation:
Hailey goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 8% is applied to the bill. Hailey decides to leave a tip of 24% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Hailey paid.
The expression in terms of xx that represents the total amount that Hailey paid is (2912/625)xx .
What is business Mathematics?
Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.
According to Question:
let the the subtotal on the bill was xx dollars
A tax of 8% is added on bill then Bill becomes xx + 8% of xx
The of 8% on bill = (108/100)xx
Now the Final bill = xx + (108/100)xx
= (208/100)xx
Hailey decides to leave a tip of 24% on the entire bill (including the tax)
So the Total Amount = (208/100)xx + 24% of Final bills
⇒
24% of (208/100)xx = (208/100)(124/100)xx
The Total amount = (208/100)xx +(208/100)(124/100)xx
Let the Amount be A
hence, expression in terms of xx that represents the total amount that Hailey paid is A = (208/100)xx +(208/100)(124/100)xx
⇒ A = (52/25)xx +(52/25)(31/25)xx
⇒ 625A = 625((52/25)xx +(52/25)(31/25)xx)
⇒ 625A = 1300xx + 1612xx
⇒ 625A = 2912xx
⇒ A = (2912/625)xx
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a car and a motorcycle leave at noon from the same location, heading in the same direction. the average speed of the car is mph slower than twice the speed of the motorcycle. in two hours, the car is miles ahead of the motorcycle. find the speed of both the car and the motorcycle, in miles per hour.
The speed of car is 50 miles per hour and the speed of the motorcycle is 40 miles per hour.
Let M = speed of the motorcycle.
Hence, speed of the car = 2M - 30.
Distance covered = Time taken x Speed.
Hence in 2 hours,
Distance covered by motorcycle = 2M
Distance covered by car = 2(2M-30).
Given, the car is 20 miles ahead of the motorcycle.
Hence,
2(2M-30) = 2M + 20
4M-60 = 2M + 20
2M = 80
M = 40
2M-30 = 2(40)-30 = 80-30 = 50
Therefore, speed of motorcycle is 40 miles per hour and speed of car is 50 miles per hour.
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one number is 431 more than the other, their sum is 679, find the two numbers
Answer:
Step-by-step explanation:
Let's call the two numbers x and y. We can set up the following equation to represent the problem:x + y = 679y = x + 431Substituting the second equation into the first equation, we get:x + (x + 431) = 679Combining like terms, we get:2x + 431 = 679Subtracting 431 from both sides, we get:2x = 248Dividing both sides by 2, we get:x = 124Substituting this value back into the equation y = x + 431, we get:y = 124 + 431 = 555Therefore, the two numbers are 124 and 555.
Need help and fast please and thank you.
y= 0.141(15) + 0.842 =
y = 2.115 + 0.842
= 2.957
no explanation
2 √ 3 + 3 √ 3 can you help me solve this equation in simplest form
The simplest form of [tex]2\sqrt{3} + 3\sqrt{3}[/tex] is found to be 8.66025403784 .
What is the simplest form of a equation ?A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.
Reducing equation is a method of rewriting the equation in a simpler form. Certain equations in mathematics are not in the form of linear equations but they can be put in the form of linear equations by performing some mathematical operations on them. After reduction of these equations in linear form they can be solved and the value of unknown can be calculated easily.
Given the equation is;
[tex]2\sqrt{3} + 3\sqrt{3}[/tex]
Now solving it ,
[tex]2\sqrt{3} + 3\sqrt{3}[/tex]
By adding this we get,
[tex]5\sqrt{3}[/tex] (∵ [tex]\sqrt{3}[/tex] is common in both )
= 8.66025403784
The decimal (or) simplified value of [tex]2\sqrt{3} + 3\sqrt{3}[/tex] is 8.66025403784.
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Solve the equation -3.5(x-14)+9x=5.5x + 49. Which statement is true ?
Answer:
Step-by-step explanation:
Answer:
-3.5(x-14)+9x=5.5x + 49 is a TRUE statement that equals 0. It has infinite solutions.
Step-by-step explanation:
Solve for x
O4
O5
O-10
O12
Answer:
x = 5
Step-by-step explanation:
Firstly, we know that corresponding angles are the same. So we can say that 25x + 5 = 26x
Let’s simplify this equation:
25x + 5 =26x
-25x -25x
5 = x
Therefore, x = 5.
!!30 Points, Pls help ASAP!!
Divide using synthetic division
x^4 – 3x^3 – 7x + 1 ÷ x + 2
The quotient of x⁴ – 3x³ – 7x + 1 ÷ x + 2 is x³ - 5x² + 3x and the remainder is 5
How to perform the synthetic division?From the question, we have the following parameters that can be used in our computation:
x^4 – 3x^3 – 7x + 1 ÷ x + 2
Rewrite as
x⁴ – 3x³ – 7x + 1 ÷ x + 2
This means that
Divisor = x + 2
Dividend = x⁴ – 3x³ – 7x + 1
Using the synthetic division, we have the following setup
-2 | 1 -3 -7 1
Bring down the first factor
-2 | 1 -3 -7 1
1
Multiply by -2
-2 | 1 -3 -7 1
-2
1
Repeat the above steps as follows
So, we have
-2 | 1 -3 -7 1
-2 10 -6
1 -5 3 5
The last number represents the remainder of the division
This means that
Remainder = 5
Quotient = x³ - 5x² + 3x
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Ma Baker's Pies charges $12 for a pumpkin pie and $14 for an apple pie. Last week, they sold a third as many pumpkin pies as apple pies, for a total of $5,400. How many pumpkin pies were sold last week?
20 POINTS!!!!
The Ancient Egyptians were the first to invent a dish close to what we know as a pie today. They had a honey filling covered in a crusty cake made from oats,
Who was the first American author of a recipe for pumpkin pie?This type of pie appears to have been made by some of the early colonists as well—but, by 1796, when Amelia Simmons' American Cookery, the first cookbook written by an American and published in America, appeared, pumpkin pie had evolved into a familiar form that we would recognize today.The cost of one apple pie = $6They stewed pumpkins or filled a hollowed out pumpkin shell with milk, honey and spices, and then baked it in hot ashes. Northeastern Native American tribes grew squash and pumpkins. The Native Americans brought pumpkins as gifts to the first settlers, and taught them the many uses for pumpkin.Types of squashes were first introduced to Europe in the form of Pumpkin seeds brought back from the Americas by Columbus himself. The introduction of pumpkins affected the way food was consumed in Europe. In both Italy and Spain, pumpkins were used in puddings and soups, making food much tastier and more enjoyable.And cost of one pumpkin pie = $8
Let the cost of one apple pie be $x
And cost of one pumpkin pie be $ y.
According to given problem,
For Lisa : sold 8 apple pies and 4 pumpkin pies for a total of $80
8x + 4y = 80 ------------(1)
For Shreya : sold 8 apple pies and 3 pumpkin pies for a total of $72
8x + 3y = 72 ---------------(2)
Solving equation (1) and (2), to get x and y.
Subtract equation (2) from equation (1)
i.e 8x + 4y - (8x +3y) = 80 - 72
or 8x - 8x + 4y - 3y = 8
or y = 8
And x = 6 { 8x + 4×8 = 80 or x = (80 - 32)/8 = 48/8 = 6 }
Hence, the cost of one apple pie = x = $6
And cost of one pumpkin pie = y =$8
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Tommy is flying his kite one afternoon and notices that he has let out
the entire 130 ft of string. The angle his string makes with the ground
is 48°. How high, to the nearest foot, is his kite at this time?
If Tommy is flying his kite one afternoon and notices that he has let out
the entire 130 ft of string. The height , to the nearest foot, is his kite at this time is : 144 ft.
How to find the height?Given data:
String = 130 ft
Angle = 48°
Let h represent the height
Hence,
Tan48° = h/130
h= 130 tan48°
h = 130 (1.11061251483)
h = 144 ft
Therefore we can conclude that the height is 144ft.
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8. a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded. what is the approximate mean and standard deviation of the number of chips meeting specifications? (a) u
The approximate mean and standard deviation of the number of chips meeting specifications are: μ = 16.2; σ = 1.273
In this question, we have been given a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded.
we need to find the approximate mean and standard deviation of the number of chips meeting specifications
Since 90% meet specifications we can say p = 0.9
So, q = 1 - p
q = 1 - 0.9
q = 0.1
here, a sample size is n = 18
So, the mean would be,
μ = np
μ = 18 * 0.9
μ = 16.2
And the standard deviation would be,
σ = √npq
σ = √(18 * 0.9 * 0.1)
σ = 1.273
Therefore, the mean (μ) = 16.2 and the standard deviation (σ) = 1.273
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Please help! Division of Polynomials, Find the quotient and remainder.
First:
Quotient: [tex]2x^{2} -11x+58[/tex]
Remainder: [tex]-294[/tex]
Second:
Quotient: [tex]x^{3} -5x^{2} +17x-83[/tex]
Remainder: [tex]422[/tex]
Third:
Quotient: [tex]2x-3[/tex]
Remainder: [tex]12[/tex]
An isosceles triangular prism has a triangular
end with a base of 16 feet, an altitude of 6 feet,
and a side length of 10 feet. The height of the
prism is 18 feet. What is the surface area of the
prism?
a- 520
b- 850
c- 744
d- 635
An isosceles triangular prism, its surface area becomes: 568 feet²
What is an isosceles triangular prism?The faces of a polyhedron called an isosceles triangular prism are made up of polygons. It has six edges, five faces, and five vertices. Isosceles triangles make up the two portions at the base that face each other and rectangles make up the vertical faces of the five faces.
where the isosceles triangle's base has equal sides measured in "a" units, each triangle's base measured in "b" units, the triangle's height measured in "h" units, and the length of the congruent rectangles measured in "l" units.
The surface area of an isosceles triangular prism is:
Surface area = (b × h) + (2× l × a) + (l × b)
here, b = the base of each of the triangle = 16 feet
h = the height of the triangle = 18 feet
l = length of the congruent rectangles = 10 feet
a = isosceles triangle in the base have the equal sides be "a" units = 6 feet
Now, Surface area = (16 × 18) + (2 × 10 × 6) + (10 × 16)
or, Surface area = 568 feet²
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