Chen wants to buy a model car and race track with his allowance. He has $30 to spend. The model car costs $8.50, and he will spend the rest of the money on pieces of race track. Each piece of race track costs $2.25.
A. Write an inequality to find the number of race track pieces he can buy.
B. Identify the meaning of your variable.
C. Explain how many pieces of race track he can buy and how much change he will receive from his $30.

Answer:

x=19.5 or 19 1/2

Step-by-step explanation:

To find what x is we need to get x on one side of the equal sign with the numbers on the other side, but first, we need to add the same variables and numbers together.

Add:

4x+12=90

Move the 12 to the other side by subtracting 12 on both sides (You use the inverse of what you want to move to the other side)

4x+12-12=90-12

4x=78

Divide:

You need to divide 4x by 4 (Since 4x is the same thing as 4*x you need the inverse of multiplication to reverse it which is division)

x=19.5 or 19 1/2 (Since 1/2 is the same thing as 0.5)

Answer:

The blank is 37.

Step-by-step explanation:

Ok. So 67 + 76 = 143.

Next since all triangles should be 180°

We know that since 180 - 143 = 37 the last angle should be 37.

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Answer:

Light blue

Step-by-step explanation:

Answer:

x ≥ -5

Step-by-step explanation:

Answer:

x- intercept (5, 0)

y- intercept (0, 2)

Step-by-step explanation:

x- intercept occurs at y= 0.

To find the x- intercept of the linear equation, substitute y= 0 into the equation.

4x +10y= 20

When y= 0,

4x +10(0)= 20

4x= 20

x= 20 ÷4 (÷4 on both sides)

x= 5

Thus, the x-intercept is (5, 0).

y-intercept occurs at x= 0.

4x +10y= 20

When x= 0,

4(0) +10y= 20

10y= 20

y= 20 ÷10 (÷10 on both sides)

y= 2

Thus, the y-intercept is (0, 2).

Answer: -2x

Step-by-step explanation:

4x+(-6x)

When there is a + in front of an expression in a parentheses, the expression remains the same.

4x-6x

Collect like terms

-2x

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

lowest x is -1 ant farthest is 4.

Answer:

you have it right! 3x - 4= 23

Answer: 3x-4 = 23

Step-by-step explanation:

Cos ik

Answer:

6 6/7

Step-by-step explanation:

Turn the mixed fraction into a improper fraction

24/7*2

Now just multiply

48/7

6 6/7

3 3/7 = 24/7

24/7 x 2 = 48/7 OR 6 6/7

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Plug in -3 to t^2-3

-3^2-3

9-3

6

A is the only answer that has 6. So your answer would be A

Answer:

1, 4, and 5 all have a measurement of 68 degrees

Step-by-step explanation:

they are vertical and corresponding angles

Answer:

I'm pretty sure the answer is B

Answer:

8h+100

8.50h+80

Step-by-step explanation:

The equation for her first job is y = 8h + 100 and the equation for her second job is y = 8.5h + 100

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Mary has two job offers.

The first job pays $8.00 an hour plus a $100 bonus.

The second job pays $8.50 an hour plus an $80 bonus.

Let h be the number of hours and y be the income.

The equation for her first job will be

y = 8h + 100

The equation for her second job will be

y = 8.5h + 100

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

Add your brain then get smart

Answer:

275n + 1000 = 2700

They will go 6 days on vacation.

Step-by-step explanation:

Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:

1000 + 275n = 2700

275n = 2700 - 1000

n = 1700/275

n = 6.18

Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.

Answer:

use math                                way its free and super easy to use for questions like that

Step-by-step explanation:

Answer:

6, 8

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency.

In this data set the most frequently occurring values are 6 and 8.

Answer:

[tex]Probability = \frac{1}{5}[/tex] or [tex]Probability = 0.2[/tex]

Step-by-step explanation:

Given

[tex]Black = 25[/tex]

[tex]White = 35[/tex]

[tex]Red = 40[/tex]

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

[tex]Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)[/tex]

Convert to mathematical expressions

[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex]

Solve for each probaility;

[tex]P(Black) = \frac{Black}{Total} = \frac{25}{100}[/tex]

[tex]P(Red) = \frac{Red}{Total} = \frac{40}{100}[/tex]

So, we have:

[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex][tex]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}][/tex]

[tex]Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}][/tex]

[tex]Probability = [\frac{1}{10}] + [\frac{1}{10}][/tex]

[tex]Probability = \frac{1+1}{10}[/tex]

[tex]Probability = \frac{2}{10}[/tex]

[tex]Probability = \frac{1}{5}[/tex]

or

[tex]Probability = 0.2[/tex]

Answer:

I believe it to be $22

Step-by-step explanation:

Answer:

D or the fourth option

Step-by-step explanation:

because you just multiply the numbers in the bracket by 4. so it will be 8, -16, 20, -4.

I hope this helped. :)

Answer: $4 senior, $7 child

Step-by-step explanation:

(3s + 9c = 75)

8s + 5c = 67

Answer:

I believe it is D

Step-by-step explanation:

The entire equation y=nx-d means that d is the fee Kyle pays the school. SO that means that nx is the amount of money he earns from the people attending a yoga class.

Term nx represents the total money Kyle collects from people attending the class.

" Linear equation in one variable represents straight line and it is a equation in one variable in which degree of the given variable is equals to one. General form is written as ax + b =0."

According to the question,

x represents fees paid by each person for yoga class.

Condition is Kyle has to pay a fee for the use of gym.

It mean gym fees would be deducted from her earned fees from yoga class.

Therefore , d represents gym fee.

n represents number of people comes for yoga class.

From the given condition it is a linear equation in one variable,

Therefore, nx represents amount Kyle collects from people attending the class.

Hence, Option (D) is the correct answer.

Learn more about linear equation in one variable here

https://brainly.com/question/17139602

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Answer:

the answer is 20 dogs

Step-by-step explanation:

there you go

:)

Answer:

I love cookies too.

Answer:

I believe that her goal is 20 pages because 75% of 20 is 15.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The required slope of the line is 1 which passes through the points (-5, -3) and (-7, -5).

The slope of a line is defined as the change in the y-coordinate (the "rise") divided by the change in the x-coordinate (the "run").

To determine the slope of the line that passes through the points (-5, -3) and (-7, -5), we can use the formula:

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let

x₁ = -5, y₁ = -3

x₂ = -7, y₂ = -5

∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )

Plugging in the coordinates of the two points, we get:

slope = (-5 - (-3)) / (-7 - (-5))

Simplifying this expression gives us:

slope = -2 / -2

Which simplifies to:

slope = 1

Therefore, the slope of the line that passes through the points (-5, -3) and (-7, -5) is 1.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

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Answer:

1.22 meters aprx.

Step-by-step explanation:

This is talking about meters right. If it is 1.22 would be your answer.

Answer:

Option (2)

Step-by-step explanation:

Formula to get the surface area of a sphere is,

Surface area = 4πr²

Here 'r' = Radius of the sphere

We have to calculate the surface area of a sphere with radius r = 9 inches.

By substituting the value of r in the formula,

S = 4π(9)²

Therefore, Option (2) will be the correct option.

Answer:

Answer:

y = -2x - 3

Step-by-step explanation:

First, find slope (m) of the line using two points (0, -3) and (1, -5):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-3)}{1 - 0} = \frac{-2}{1} = -2 [/tex]

The line intercepts the y-axis at y = -3. Therefore the y-intercept (b) of the line = -3.

To write the equation that represents the line, substitute m = -2, and b = -3 into y = mx + b.

Thus:

y = -2x + (-3)

y = -2x - 3