A carpet cleaner charges $59 for a service call and $30 for each room cleaned. A customer does not want to spend more than $125 for having the carpets in his house cleaned. Choose the correct inequality for the situation and the total number of rooms the customer can afford to have cleaned.

Answers

Answer 1

Answer:

[tex]59 + 30c \leq 125[/tex]

2 rooms

Step-by-step explanation:

Given

[tex]Base\ Amount = \$59[/tex]

[tex]Additional = \$30[/tex] per carpet

[tex]Customer\ Budget = \$125[/tex]

Required

Write an inequality to determine the situation

Represent the number of carpets with c

First, we need to determine an expression for the cleaner's charges:

This is:

[tex]59 + 30 * c[/tex]

[tex]59 + 30c[/tex]

Since the customer's budget do not exceed $125.

This implies that the cleaner's charges must be less than or equal to the budget.

So, we have:

[tex]59 + 30c \leq 125[/tex]

Solving further: [Collect Like Terms]

[tex]30c \leq 125 - 59\\[/tex]

[tex]30c \leq 66[/tex]

Divide through by 30

[tex]c \leq 66/30[/tex]

[tex]c \leq 2.2[/tex]

Since number of rooms can't be fraction;

The maximum number of rooms the customer can afford is 2

Answer 2

Answer:

No sé exactamente de qué se trata el ejercicio, hay muchas respuestas posibles

Step-by-step explanation:


Related Questions

141,204 dividido entre 82

Answers

The answer to 141,204 divided by 82 is 1,722.

Answer:

1722

Step-by-step explanation:

36 (highest)POINTS PLS ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

First you find the area, 14 x 10 which is 140 inches
Then, inches to foot (12 inches in 1 foot)
So, 140/12 which is 11 2/3 feet
Now 11 2/3 * 2.50 for each foot is 29.16 (rounded down, 29$) (not sure if this is right btw)

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 7
Blue 18
Green 5
Yellow 6
Purple 9
Based on these results, express the probability that the next spin will land on green as a decimal to the nearest hundredth.

Answers

Answer:

The probability that the next spin will land on green is 0.08 I could be wrong tho

Find the value of x.

Answers

Answer:

35°

Step-by-step explanation:

There are 4 angles in quadrilateral which is equal to 360°. So...Add 100°, 110° and 80° and you will get 290°. Then, substract 290° from 360°. So you will get 70° which is Angle B. and then there's a straight line crossing the angle B. So divide with 2. You will get 35° which is equal to angle x because of the straight line.

Hope this help you.

For this question it has to be x = 35°.

An animal gained 2 pounds steadily over 10 years. What is the unit rate of pounds per year

Answers

Answer:

0.2

Step-by-step explanation:

2 divided by 10

Find the area of each shaded sector. Round to the hundredths place
10. SR = 26m

Answers

Check the picture below.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=26\\ \theta =\stackrel{180+34}{214} \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (214)(26)^2}{360}\implies A=\cfrac{18083\pi }{45} \\\\\\ A \approx 1262.43 \end{array}[/tex]

At Gulfport Electronics, Randy earns a monthly salary of $1500 plus a 5% commission of x, his total monthly sales. If his March earnings total $2500, write and solve an equation that could be used to determine his total monthly sales for the month of March

Answers

Answer:

His March Earnings is $20000

Step-by-step explanation:

Given

[tex]Salary = \$1500[/tex]

[tex]Commission = 5\%\ of\ sales[/tex]

[tex]March\ Earnings = \$2500[/tex]

Required

Determine the monthly sales

Represent the monthly sales with x

The march earnings can be determined using:

[tex]March\ Earnings = Salary + Commission[/tex]

[tex]March\ Earnings = Salary + 5\%\ of\ x[/tex]

Substitute values of March Earnings and Salary

[tex]2500 = 1500 + 5\% * x[/tex]

[tex]2500 = 1500 + 0.05 * x[/tex]

[tex]2500 = 1500 + 0.05x[/tex]

Solve for 0.05x

[tex]0.05x = 2500 - 1500[/tex]

[tex]0.05x = 1000[/tex]

Solve for x

[tex]x = 1000/0.05[/tex]

[tex]x = 20000[/tex]

Hence:

His March Earnings is $20000

The manager of a store increases the price of a popular product by 5%. Let y be the original price of the product. The new price is t + 0.05t. Find an expression equivalent to t + 0.05t. If the original price was $22.99, what is the new price?

Answers

Answer:

you will multiply the new price plus the original price

Which graph correctly solves the system of equations below? y = x2 + 3x + 4 y = x2 + 2x + 1 (1 point) Select one: a. two quadratic graphs opening up. They intersect at negative 3, 4. b. two quadratic graphs opening up. They intersect at 0, 3. c. two quadratic graphs opening down. They intersect at 0, 3. d. quadratic graph opening up and quadratic graph opening down. They intersect at 1, 4 and 0, 3. Clear my choice

Answers

Answer:

the answer is b b is the answer I did this before

A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the birdhouse and the pole? how do you put this in a ratio??

Answers

Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and
birdhouse
4 foot tall person makes 5 feet long
shadow
5×3=15
4x3=12 so the birdhouse and pole are 12
feet
THANKS!

If a number is divisible by 10, then its ones digit is 0
TRUE OR FALSE

Answers

Answer:

its true, depending on the times table.

Answer:

True

Step-by-step explanation:

This statement is always true.

PLEASE HELP!!!
Rewrite [tex]f(x)=|x|[/tex] as a piecewise function

Answers

hey

wanna be friends

math!! vocabulary one which is the second box

Answers

Answer:

The answer is Arithmetic Sequence.

Hope this helped.

A brainliest is always appreciated.

ASAP it has to be a full answer no decimals it can be a number, fraction or mixed fraction HELP PLEASE

Write 22/35 as a percent

Answers

Answer: 628571%.

Step-by-step explanation:

Your answer would be 62.86%

Please ANSWER NOW, PLEASE HELP , for math 50 points!!!

Answers

- Around 169.
- Around 150
- Around 600
If I had to guess

Write and equation to represent the function.
Input(x). 1. 2. 3. 4
Output(y). 8. 19. 30. 41

Answers

Answer:

[tex]y=11x-3[/tex]

Step-by-step explanation:

Given ordered pairs:

(1, 8)  (2, 19)  (3, 30)  (4, 41)

As the y is directly proportional to x (y values increase +11 for every +1 increase for the x-values) then the equation will be linear.

Point-slope form of a linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point on the line)

[tex]\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1,y_1)=(1,8)[/tex][tex](x_1,y_2)=(2,19)[/tex]

[tex]\implies \textsf{slope }m=\dfrac{19-8}{2-1}=11[/tex]

Using point-slope equation with m = 11 and point (1, 8):

      [tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-8=11(x-1)[/tex]

[tex]\implies y=11x-3[/tex]

Divide: 5 by 1 / 4
please

Answers

Answer:

20

Step-by-step explanation:

Make 5 a fraction which would be 5/1

Then make an expression, "5/1 /  1/4"

Then switch and flip meaning make the division sign a multiplication sign and make 1/4 into 4/1.

Your expression should look like 5/1 x 4/1

Then multiply 5 and 4 and you get 20. You do not need to write it as a fraction.

Mark brainliest please!

Write an inequality that represents the graph.

Answers

Answer:

y ≤ -x - 2

Step-by-step explanation:

the line is going down (negative slope) so that's why u have the negative it translated 2 units DOWN on the yaxis so that's why there is - 2 the line is SOLID so it's going to have the equal sign under it, if the line was dashed it would just be a regular sign fr example (<)the shading is BELOW the line so that means it's going to be LESS THAN OR EQUAL TO !!

The inequality that represents the graph is y ≤ -x - 2

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

from the given graph, we get,

1. the line is going down (negative slope) so that's why u have the negative

2. it translated 2 units DOWN on the yaxis so that's why there is - 2

3. the line is SOLID so it's going to have the equal sign under it, if the line was dashed it would just be a regular sign fr example (<)

4. the shading is BELOW the line so that means it's going to be LESS THAN OR EQUAL TO !!

To learn more on inequality click:

brainly.com/question/24853349

#SPJ5

Estimate the x-value of a local maximum shown in the polynomial graphed below. (Enter the estimated x-value as a decimal.)

Answers

Answer:

Local Min: (-1.9, 5.1)

Local Max: (0.5, -1.8)

Step-by-step explanation:

The local min and max are mins and maxes relative to the surrounding points. We see that our local min would happen around x ≈ 0.5 and our local max will happen at x ≈ -1.9.

HELP PLEASE!!! Find the values of x and y. Express your answers in simplest radical form.
/30
24
60°
x = 12 and y = 123
ТОВ
12/3 and y = 12
x = 12 and y= 122
x = 12/2 and y = 12
D

Answers

Answer:
C.

Explanation: I guest it is base on my research but i dont have a solution peace

Which of the following is NOT a linear function?

Answers

Answer:

x^2 + 8 = 64 is not a linear function

Step-by-step explanation:

using the process of elimination and a graphing calculator, you can see that the rest of the functions give you a linear function. therefore, the answer is x^2 + 8 = 64 is not a linear function!! i hope this helps you!! <3

The [tex]x^2 + 8 = 64[/tex] is not the liner function.

The following information regarding the linear function is:

It is the function where the graph is in the straight line. The form in the linear function should be y = a + bx.In this, there is one dependent and one independent variable.

Therefore we can conclude that the [tex]x^2 + 8 = 64[/tex] is not the liner function.

Learn more about the linear function here: brainly.com/question/20286983

Help
This is really confusing

Answers

Step-by-step explanation:

The 53rd ball will be blue. I don't really know how to explain but I'll try.

So there are black, white and blue balls. If you look closer you'll see that the words 'black,white,blue,black, blue were repeated twice. So let's say that the first 5 letters are a set. To get the 50th color, all you have to do is 5 × 10 which is 50 and the 50th term is blue. Just add black(51st), white(52nd) and you'll get the 53rd color to be Blue.

I don't know how to do <2>.

Hope this helps!

Please mark me brainliest :)

3x+2=2x +13 divided by 3

Answers

Hope this helps

Good luck

What is the slope of the line that passes through the points (-4, -2) and (-4, -22)? Write your answer in simplest form.

Answers

Answer:

Your answer is: Undefined

Use the slope formula to find the slope  m .

Step-by-step explanation:

Hope this helped : )

The slope of the line that passes through the points (-4, -2) and (-4, -22) is an infinite slope.

The slope of a line can be found using the formula below.

m = y₂ - y₁ / x₂ - x₁

Therefore,

x₁  = -4

x₂ =  - 4

y₁ = -2

y₂ = -22

Therefore,

m = -22 - (-2) / - 4 - (-4)

m = -22 + 2 / - 4 + 4

m = 20 / 0

m = infinity

The slope is an infinite slope.

read more: https://brainly.com/question/20304415?referrer=searchResults

round these amounts to the nearest whole dollar.3.87cedis.9.28 cedis.11.05 cedis.4.39cedis​

Answers

Answer: 4.00, 9.00, 11.00, 4.00

Step-by-step explanation:

When we round, we round from the digit one smaller than the one we're rounding to. In this case, since we're rounding to the dollar, we round from the 10th place. To round, we need to know whether the number we're rounding from is smaller than, equal to, or larger than 5. If the number is smaller than 5, we round down. Larger, and we round up. If the number is equal to 5, we also round up.

Find the average distance in Thursday is round your answer to the nearest 10 if necessary 7,20,9,35,12,15,7,10,20,25

Answers

= (7+20+9+35+12+15+7+10+20+25) : 10

with 10 = number of values

average distance = 160 : 10 = 16

Can someone please help me? :(

Answers

Answer:

12 edges, 6 faces, and 7 vertices.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

I say 12 edges because there are 12 meeting points, and an open shape.

6 faces because there are 6 highlighted points on what looks like an unfolded shape.

8 vertices because you add 2 to the number of edges and subtract by the number of faces, 6.

Use the elimination method to solve the system of equations. Choose the correct ordered pair.
6x+4y=32
-6x+4y=8

Answer Choices:
A) 0,8
B) 2,5
C) 1,5
D) 4,2​

Answers

Answer:

B

Step-by-step explanation:

6x+4y=32

4y=8+6x

6x+8+6x=32

x=2

2×6+4y=32

12+4y=32

4y=20

y=5

multi step equation 4x-2-2x=x-5​

Answers

Solve for
x
x
by simplifying both sides of the equation, then isolating the variable.
x
=
−3

Step-by-step explanation:

4x-2-2x=x-5

2x-2=x-5

x-2=-5

x=-3

Need help asap pleaseeeeee

Answers

200? I’m sorry I’m not that good at math
200 each box is 100 area so 100+100 200
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