Marvin earns $7.25 per hour at his summer job. He wants to buy a video game system that costs $166.75. Enter an equation to model the relationship between the number of hours worked h and the amount earned e

Answer:

Step-by-step explanation:

Given:

The set of numbers {1, 2, 3, 4, 5}

Affter that, we find the sum um of two distinct numbers selected randomly from the set above;

Therefore, we have the following number: 3,4,5,6,5,6,7,7,8,9

so we have x = {3,4,5,6,5,6,7,7,8,9 }

now we find P(x) of each number, we have n(S) = 10

x  3 4 5 6 7 8 9

P(x)  1/10 1/10 1/10 2/10 2/10 2/10 1/10

Hope it will find you well.

The probability distribution of a set gives the probabilities of possible outcomes of the set

The set of numbers is given as:

[tex]\mathbf{Set = \{1, 2, 3, 4, 5\}}[/tex]

Add two distinct numbers of the set.

The sum is as follows

[tex]\mathbf{1+2 =3}[/tex]

[tex]\mathbf{1+3=4}[/tex]

[tex]\mathbf{1+4=5}[/tex]

[tex]\mathbf{1+5=6}[/tex]

[tex]\mathbf{2+3=5}[/tex]

[tex]\mathbf{2+4=6}[/tex]

[tex]\mathbf{2+5=7}[/tex]

[tex]\mathbf{3+4=7}[/tex]

[tex]\mathbf{3+5=8}[/tex]

[tex]\mathbf{4+5 = 9}[/tex]

The sum of the distinct numbers are:

[tex]\mathbf{Sum = \{3,4,5,6,5,6,7,7,8,9\}}[/tex]

Calculate the probability of each number in the sum set i.e. 3, 4, 5, 6, 7, 8 and 9

[tex]\mathbf{P(3) = P(4) = P(5)= P(9)= \frac{1}{10} = 0.10}[/tex]

[tex]\mathbf{P(6) = P(7) = P(8)= \frac{2}{10} = 0.20}[/tex]

So, the probability distribution for the random variable is:

x   - - P(x)

3 -- 0.10

4 -- 0.10

5 -- 0.10

6 -- 0.20

7 -- 0.20

8 -- 0.20

9 -- 0.10

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Answer:

15 years old

Step-by-step explanation:

Let's say Amanda's age is a, Brantley's age is b, and Carlos's age is c.

"Amanda is 3 years older than Brantley" means that a = 3 + b

"Carlos is twice as old as Amanda" means that c = 2 * a = 2a

"The sum of their ages is 57" means a + b + c = 57

We know that a = 3 + b, which can be written as b = a - 3. Substitute a - 3 in for b and 2a in for c in the equation a + b + c = 57 so that we have one variable to solve for:

a + b + c = 57

a + (a - 3) + 2a = 57

4a - 3 = 57

4a = 60

a = 15

Amanda is 15 years old.

Answer:

15

Step-by-step explanation:

A = B + 3

B = A - 3

C = 2A

A + B + C = 57

A + A - 3 + 2A = 57

4A - 3 = 57

4A = 60

A = 15

Answer:

Chester would receive a discount of $2.87 on using the coupon.

Step-by-step explanation:

We are given the following in the question:

Original cost of shirt = $28.70

Discount =

[tex]\dfrac{1}{10}\text{ of the original price}[/tex]

We have to find the discount Chester would receive from using this coupon.

Discount amount =

[tex]=\dfrac{1}{10}\times \text{Original Price}\\\\=\dfrac{1}{10}\times 28.70\\\\=2.87[/tex]

Thus, Chester would receive a discount of $2.87 on using the coupon.

Answer:

2(4+x)

Step-by-step explanation:

"Twice the sum of" tells us it will be the equation times two

"the sum of four and a number" is easy, thats 4 + x

The second number is x because the number is not specified so we need a place holder, x in this case, to tell us that the number is not given.

All this put together = twice the sum of four and a number, or 2(4+x)

The expression for "twice the sum of four and a number" is represented by 2(x + 4) or 2 * (x + 4), signifying that you first sum the number with four and then double the result.

The expression that correctly represents "twice the sum of four and a number" is 2(x + 4) or 2 * (x + 4), where x is the variable representing the unknown number. To arrive at this expression, you first find the sum of four and the number (x + 4) and then multiply the result by two to get twice this sum.

In this context, the word 'twice' is similar to triple as in triple the amount of money being three times as much. This operation is an example of simple addition, much like when two numbers are added in any order, such as 2 + 3 or 3 + 2, which illustrates the commutative property of addition.

Answer:

1. 336 in3

2. 384 cm3

3. 336 m3

Step-by-step explanation:

im not positive but i think you just multiply the numbers and put the label as cubed

Answer:

402.705‬ cm^2

Step-by-step explanation:

pi * r^2 * h /3    ---> (Volume of a cone)

3.14* 4.5^2 * 19 /3 =

3.14 * 20.25*19/3 = 402.705

Answer:

it would be around  318.09 cubic centimetres in volume for the cone

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

y = -3/2x - 1/2

b = -1/2      

To locate the y-intercept on the graph, find the point where the line crosses through the y-axis or the y-value when x = 0

I can't see the graph but hopefully this information helps you find the answer

Answer:

It’s A. The graph has a larger y/intercept.

Step-by-step explanation:

Answer:

2x + 3y

Step-by-step explanation:

Answer:

[tex]=18[/tex]

Step-by-step explanation:

[tex]\sum _{j=1}^33j[/tex]

Apply the constant multiplication rule:

[tex]=3\cdot \sum _{j=1}^3j[/tex]

[tex]\sum _{j=1}^3j[/tex]

Apply sum formula:

[tex]=\frac{1}{2}\cdot \:3\left(3+1\right)[/tex]

[tex]\frac{1}{2}\cdot \:3\left(3+1\right)[/tex]

[tex]=3\cdot \:4\cdot \frac{1}{2}\\[/tex]

[tex]=\frac{1\cdot \:3\cdot \:4}{2}[/tex]

[tex]=\frac{12}{2}[/tex]

[tex]=6[/tex]

[tex]=3\cdot \:6[/tex]

[tex]=18[/tex]

Answer: C) (-3,15)

Step-by-step explanation:

Just did USATestPrep and that is the order pair that gives u one of the points on the graph if y= x^2 - 2x

Answer:

V=1,125.1

Step-by-step explanation:

The equation for the volume of a cylinder is (V= πr^2h)

V= π(5.25)^2(13)

V= π(27.5625)(13)

V= π(358.3125)

V=1,125.10125

Answer:

B. 2

Step-by-step explanation:

egd. 2021

Answer:

B

Step-by-step explanation:

The roots of rational numbers is when you find the square root making it B

Answer:

345

Step-by-step explanation:

i know it not

Answer:

565$

Step-by-step explanation:

Y because he got more money

Answer:

The answer to your question is 56 gal

Step-by-step explanation:

Data

Percent filled = 95%

Total water can hold = 1120 gal

remaining water = ?

Process

1.- Calculate the 95% of 1120 gal

              1120 gal ------------------ 100%

                x           ------------------   95%

                      x = (95 x 1120) / 100

                      x = 106400 / 100

                      x = 1064 gal

2.- Calculate the remaining water by subtracting the previuos value to the total capacity.

Remaining water = 1120 - 1064

                             = 56 gal

Answer:

sgdggggggggggggsdfgfgfg

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 x pi = 12.57

Pi is approx. equal to 3.14

4 x 3 = 12

Answer:

3.95 divided by 20 equals 0.1975

Each ounce costs $0.1975.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units. Hence this method aims at determining values in relation to a single unit.

Given here, a 20 ounce bottle and it costs $3.95

1 ounce of lotion would cost  $3.95 / 20= $0.1975.

Hence, Each ounce costs $0.1975.

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Answer:

15 weeks

Step-by-step explanation:

He deposits 24 each week, so 480-120 is 360. Then if you divide 360 by 24 to see how many weeks, it is 15.

Answer:

that will be 15

Step-by-step explanation:

Answer:

B (V = 4500π ft3; S = 900π ft2)

Step-by-step explanation:

If the great circle's area is 225pi, that makes the radius sqrt225 = 15

The volume of a sphere is (4/3) pi r^3, so the volume would be 3375 * 4/3 pi= 4500pi

The surface area of a sphere is 4 pi r^2, so the Surface area would be 4 * 225 pi = 900pi

That makes the answer B (V = 4500π ft3; S = 900π ft2)

Answer:

Alvin can't have more than 2 fishes on his tank.

Step-by-step explanation:

In order to calculate how many fish Alvin can have in his tank we first need to calculate the volume of the tank. A prism's volume is given by the following formula:

v = Abase*h

Therefore for Alvin's, we have:

v = 0.9*0.6 = 0.54 m³

Since he can't have more than 5 fish per cubic meter we can use a rule of three in a way that:

5 fish -> 1 m³

x fish -> 0.54 m³

5/x = 1/0.54

x = 0.54*5 = 2.7

Since he can't have a 0.7 fish and in order to mantain the density to the recommended level, he can't have more than 2 fishes.

Answer:

he saved $40

Step-by-step explanation:

The required money saved by spencer at the end of the summer sale is $40.98.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Spencer picked out a remote–control car on sale for 20% off the original price of $79.99.
He also picked out a robot for 25% off the original price of $99.99.

Money saved by spencer = 0.2 × 79.99 + 0.25 × 99.99
                                       = 15.99 + 24.99
                                       = $40.98

Thus, the required money saved by spencer at the end of the summer sale is $40.98.

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Answer:

262 1/2 cubic feet

Step-by-step explanation:

The volume of a prism is (length)(width)(height).

Here we have

V = (6 1/4 ft)(14 ft)(3 ft)

Converting 6 1/4 ft to an improper fraction, we get 25/4.

Then the above product is V = (25 ft/4)(14 ft)(3 ft)  = 262 1/2 cubic feet

The volume of the rectangular prism is 262.5 cubic feet. Thus, the correct option is D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

A rectangular prism with a length of 6 and one-fourth feet, a width of 14 feet, and a height of 3 feet. Then the volume of the rectangular prism is calculated as,

V = (6 + 1/4) x (14) x (3)

V = 25/4 x 42

V = 1050/4

V = 262 + 1/2 cubic feet

V = 262.5 cubic feet

Thus, the correct option is D.

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Answer:

142

Step-by-step explanation:

[tex]\frac{x+18}{5}=32[/tex]

Multiplying both sides by 5, you get:

x+18=160

Now, you can subtract 18 from both sides to get:

x=142

Hope this helps! Comment if this wasn't clear enough, or you need more explanation.

Answer: x=142

Step-by-step explanation:

x+18 / 5 = 32

first multiply both sides by 5

x + 18 = 160

then subtract 18 from both sides

x=142

Answer: The number of calories increased by 20%.

Step-by-step explanation:

Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.

Previous number of calories he used to burn = 1,500

Increase in calories = 1800-1500=300

Now , the percent increase in calories = [tex]\dfrac{\text{Increase in calories}}{\text{previous calories}}\times100[/tex]

[tex]=\dfrac{300}{1500}\times100=20\%[/tex]

Hence , the number of calories increased by 20%.

Answer:

20%

Step-by-step explanation:

Answer: 4

Step-by-step explanation: Subtract 2 on both sides, you get 2c=8 ... divide 2 on both sides. C = 4

Answer:

D 4

Step-by-step explanation:

2c+2=10

Subtract 2 from each side

2c+2-2=10-2

2c = 8

Divide each side by 2

2c/2 = 8/2

c =4

Answer:

The first and last option.

Step-by-step explanation:

This is true because in the first chart, different y values correspond to different x values. In the other chart and option, the same y value corresponded to multiple x values - when this happens, it is not a function. This is why the first option is a function. In the last option, you gave an equation to a parabola. When graphed, the parabola opens downwards.  Only parabolas that open upwards or downwards are considered functions. Parabolas that open left or right are not considered parabolas. You can test whether or not a parabola is considered a function by conducting the "Vertical Line Test."

Answer:

To determine if they are functions or not, each y value needs to have only one x value. There should never be 2 values with the same x.

The first one is a function.

The second one is not a function because there are two coordinates that have -1.

The third on is not a function because there are two of them that have 0.

The fourth one is a function because when listing the inputs and outputs, there are different x values for each y value.

Hope this helps ;)

39.853

Step-by-step explanation:

He walked 39.853 miles on Monday, Wednesday

and Friday.

Answer:

AB = 23.4 inches

Step-by-step explanation:

If the diameter of the wheel is 25 inches, we have that its radius is 25/2 = 12.5 inches.

If we draw a radius to the bottom of the wheel and a radius to point A, we have a triangle where we can use Pythagoras' formula:

(see image attached for better understanding)

r^2 = (r-8.1)^2 + (AB/2)^2

12.5^2 = 4.4^2 + AB^2/4

156.25 = 19.36 + AB^2/4

AB^2/4 = 136.89

AB^2 = 547.56

AB = 23.4 inches

Answer:

Total for the week T;

T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles

T = 7.17 miles

Step-by-step explanation:

Given;

Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's.

On four days = 1 2/3 = 5/3 miles per day

Total for the 4 days = 4 × 5/3 = 20/3 miles

He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays

On 3 days = 1/6 miles per day

Total for the 3 days = 3 × 1/6 = 3/6 miles

Total for the week T;

T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles

T = 7.17 miles

Answer:

here is answer

Step-by-step explanation:

n(AUB) = n(A) + n(B) - n(AnB )

= 240 + 160 - n(A n B)

= 400 - n(AnB )

Since n(AnB) 20, so n(AUB) S 400

But n(U) = 360, so n(A U B)* 360

.. the maximum value of n(AUB) = 360.

When n(A U B) is maximum, n(AnB) will be minimum.

.. min. value of n(An B)

= n(A) + n(B) - Max, value of n(AUB)

= 240 - 160 - 360 = 40

Again, n(

A B) will be maximum when B C A.

..the max. value of n(

A B) = n(B) = 160

Answer:

6 in.

Step-by-step explanation:

The Length of the large rectangle is 2 units.

It is required to find the length of the large rectangle.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

A rectangle is 2 inches wide, and more than 2 inches long.

According to given question we have,

Ratio of width to length of known rectangle is 2:4 this simplifies to 1:2

The smaller similar rectangle will have the same ratio. .i.e. 1:2

Since the width is 1 then the length will be 2.

.This can also be looked at another way. the second value in the ratio is

2:1 of the first value in the ratio and the first value is 1:2 of the second value.

So, Length of the large rectangle is 2 units.

Width of the large rectangle is 1 units.

Therefore, the Length of the large rectangle is 2 units.

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