The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria's installation price is $50 but the store charges $13 for each square yard. For what number of square yards of carpeting will the cost, including installation, be the same for both stores? 6a) What expression that represents the cost of having Magic Carpet install carpeting: 6b) What expression that represents the cost of having Carpeteria install carpeting: 6c) Write an algebraic equation that represents when the cost of installing carpet by the two companies will be the same: 6d) For what number of square yards of carpeting will the cost, including installation, be the same for both stores? Solve the equation in 1c. Show your work.

Answers

Answer 1

Answer:

The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)

The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)

The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)

The area of carpet for which the cost is the same is: 10 square yard

Step-by-step explanation:

6a) The cost for magic carpet:

This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:

cost = 90 + 9*a

Where a is the area of carpet to be installed.

6)b) The cost for Capeteria:

This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:

cost = 50 + 13*a.

6) c) The algebraic expression for the cost to be the same in both stores:

90 + 9*a = 50 + 13*a

6) d) We need to solve the expression above for a:

50 + 13*a = 90 + 9*a

13*a - 9*a = 90 - 50

4*a = 40

a = 40/4 = 10


Related Questions

HELP!!! THIS IS URGENT!!!
Explain how you could use less than or equal to and greater than or equal to in a real life scenario.

Please come up with an original scenario! I really need help! Giving 35 points!

Answers

Answer:

Step-by-step explanation:

Consider a utlity bill which shows a minimum initial cost plus variable costs dependent upon how many units are sold.

Then:  total cost ≥ (fixed cost) + (unit cost)(number of units sold)  

This involves the "equal to or greater than" concept.

A car traveled 360 miles in 4 hours. If its speed were to be 15 mph slower, how long would it take to travel the same distance?

Answers

Answer:

4.8 hours

Step-by-step explanation:

First, divide the distance by time to get velocity.

S = D/T

S = 360/4

S = 90 mph

Then, subtract 15 from 90 to get the new speed.

90 - 15 = 75

Lastly divide the distance by the new speed to get time.

T = D/S

T = 360/75

T = 4.8

Therefore, it would take the car 4.8 hours to travel 360 miles at 75 miles per hour.

A parallelogram shaped tapestry has a base of 6 feet and a height of 5 feet. Explain how you would find the area of the tapestry. What is the area?

Answers

Answer:

30

Step-by-step explanation:

the area of a parallelogram is its base x height. in this case it will be 6 * 5 = 30

PLEASE MARK AS BRAINLIEST

The area of the parallelogram shaped tapestry is 30 feet².

What is a parallelogram?

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides, in which each parallel pair of sides have the same length.

As per the given data:

A tapestry is having a shape of a parallelogram, and we have to find out the area of the parallelogram using the dimensions given.

The base of the parallelogram tapestry (b) = 6 feet

The height of the parallelogram tapestry (h) = 5 feet

The area of a parallelogram is given by the formula:

Area = base × height

By putting the given values in the question:

Area of the tapestry = 6 × 5 feet²

= 30 feet²

Hence, the area of the parallelogram shaped tapestry is 30 feet².

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please help its in math

Answers

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

Someone please help me

Answers

Answer:

1 infinity

2 one

3 no

4 one

5 infinity

Step-by-step explanation:

Solve for X

x - 8= -10

a. x=2
b. x = -2
c. x = 18
d. x= -18

Answers

Answer:

b. x = -2

Step-by-step explanation:

x - 8 = -10

x = -10 + 8

x = -2

I need someone to help

Answers

Answer:

240

Step-by-step explanation:

You must multiply 4 by 5, which will give you 20. Then multiply 20 by 12, which will give you the final result of 240.

Math question need help please
I’ll mark you as brainliest

Answers

Answer:

Original: $733 million

Sequel: $860 million

Step-by-step explanation:

Let's say the original movie grossed x dollars. Since the sequel grossed 127 million more than that, we can write the expression x + 127 to represent the sequel.

Their total is 1593 million, so let's add them up:

x + (x + 127) = 1593

2x + 127 = 1593

2x = 1466

x = 1466/2 = 733

To find the sequel gross amount, add 127 to 733:

127 + 733 = 860

So, the original movie grossed $733 million, while the sequel grossed $860 million.

Can someone please help me???

Answers

Answer:

B.)    2 / 15

Step-by-step explanation:

: )

Look at picture above. I need help to understand it. I’m not sure how to do it. And I can’t continue until I get this answer. Thank you

Answers

Answer:

1. Negative values of b would mean that y can fluctuate between a positive and negative answer depending on what is used for x. In simpler terms, if b < 0, y can be both less than and greater than 0. If b > 0, y can only be greater than 0. This means that only functions where b > 0 can be defined. You would not want to use negative values of b because the answer will not always be a natural number.

2. You cannot consider y = 1^x or y = 0^x to be exponential functions because, while they do utilize an exponent, they do not create exponential growth. 1 multiplied by itself, no matter how many times, will always result in 1. Similarly, 0 multiplied by itself will always result in 0. Therefore, no exponential growth is occurring in either of those equations. (I think this answer is more up to interpretation. I'm sure an argument can be made for those two equations to be considered exponential functions because they have exponents in them. The important thing to recognize here is that no growth occurs with either of them. Therefore, they are different from other "exponential functions").

Answer:

1. If you have a negative base and you try to take the square root of it you get an imaginary number.

2. To get the second point, raising 1 to x will always get you 1 and raising 0 to x will always get you 0.

Step-by-step explanation:

For example if you have the square root of -64, you get +8i and -8i since you're taking the square root. This means that there are no real roots. They're imaginary.

y = 1^x. if we chose the values: 1, 2, 3, 4 to be our x we will always end up with 1 as our answer. If you graph this, you will see a straight horizontal line at y = 1.

This is why it's not an exponential function. It doesn't behave the same way other exponential functions do. You can have a much better understanding if you use a graphing calculator to actually how it looks (try desmos online if you don't have a gc).

Now y = 0^x will also always result in an answer of 0. Take x as 1, 2, 3, 4. 0*0 = 0. 0 * 0 * 0 = 0. I think you get the point. Exponential functions show exponential growth while y = 1^x and y = 0^x are straight horizontal lines, not exponential functions.

Giving 15 points need answer ASAP

Answers

I think this is the answer

8/3 mixed number -> 2 2/3

Answer:

[tex] 2 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] - 2 \frac{1}{3} - ( - 5) = - \frac{(6 + 1)}{3} + 5 \\ \\ = - \frac{7}{3} + 5 \\ \\ = - \frac{7}{3} + \frac{15}{3} \\ \\ = \frac{ - 7 + 15}{3} \\ \\ = \frac{8}{3} \\ \\ = 2 \frac{2}{3} [/tex]

Solve the system of equations. (Please do your best :3)

Answers

Answer:

x=7

y=-5

Step-by-step explanation:

that is the answer

PLEASE HELP!! Due very soon!! 10 points! Which of the following functions, when graphed, would have a constant rate of change and an x-intercept of -5?
(See attached pic for multiple choices)

Answers

Answer:

D

Step-by-step explanation:

only solution C and D are linear function, and they are essentially straight lines. However, C have a x intercept of 5/2, so we rule out option C.

Identify the error below. Then, solve the equation correctly.

Answers

Answer:

Error: +3x should be -3x

x should equal 3

Step-by-step explanation:

In this problem, you have to pay attention how values are transferred from one side to the other. This includes paying attention t the signs.

In 3x + 4 = 8x - 11, you want to try an keep all the values positive

      3x   +   4   =   8x  -   11

    - 3x                - 3x

                  4   =   5x  -   11

                 +11               +11      <--This part of the equation was correct.

                  15  =  5x

                  /5       /5   <--This part of the equation should result in dividing by 5

                  3   =  x

Hope this helps!

please help i suck at math

Answers

Answer:

5^15

and x^10

explanation:

when the base is the same you add the exponents (the numbers on top) so look above to see that they are just adding

find all sqaure numbers greater 20 less then 100

Answers

Answer:

25, 36, 49, 64, 81

Step-by-step explanation:

What is the surface area of the triangular prism?

Answers

Answer

Step-by-step explanation:

The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces. Formula to find the surface area of a triangular prism. The Surface Area = 2 B + p h.

Answer:

it should be 35 let me know if I am wrong

Step-by-step explanation:

what is the y-intercept of the quadratic function f(x) = (x-6)(x-2)

Answers

Answer:

Its letter B.

Step-by-step explanation:

on edge 2021

The y-intercept of the quadratic function f(x) = (x-6)(x-2) is (0,12).

Given,

f(x) = (x-6)(x-2)

We need to find the y-intercept of this given function f(x).

What is the y-intercept?

The point at the y-axis where the function passes through is called the y-intercept.

We take x = 0 for finding y-intercept.

We have,

f(x) = (x-6)(x-2)

Let f(x) = y.

y = (x-6)(x-2)

Put x = 0 in y.

y = (0-6)(0-2)

y = -6 x -2 = 12.

The y-intercept is at 12 on the y-axis and we represent it as (0, 12).

Thus the y-intercept is (0,12).

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What is x?
7(x – 5) = 9x – 3

Answers

Answer:

x = -16

Step-by-step explanation:

[tex]7(x-5) =9x-3 \\7x -35 = 9x - 3\\3- 35 = 9x - 7x\\-32 = 2x\\x = \frac{-32}{2}\\\huge \red{\boxed{x = -16}}[/tex]

Answer:

x = -16

Step-by-step explanation:

We are presented with the equation 7( x - 5 ) = 9x - 3 and we are asked to find the value of x. The first thing to do with equations with brackets is expand them out to make solving the equation easier. Then you want to collect all the 'x' terms to one side and all the numerical values to the other so we can make solving the equation easier.

→ 7( x - 5 ) = 9x - 3

⇒ Expand out the brackets

→ 7x - 35 = 9x - 3

⇒ Minus 9x from both sides to collect the 'x' terms

→ -2x - 35 = -3

⇒ Add -35 to both sides to isolate -2x

→ -2x = 32

⇒ Divide both sides by -2 to isolate x

→ x = -16

Enter the equation of the circle with the given center and radius.
Center:(-4, 2); radius: 2
The equation is

Answers

Answer:

The answer is:

[tex](x+4)^2+(y-2)^2 = 4[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Since, you already have the center and the radius, use them for the equation of a circle and it will be written as:

[tex](x+4)^2+(y-2)^2 = 2^2[/tex]

When putting the equation of a circle, the radius needs to be simplified by the exponent [tex]2[/tex]:

[tex](x+4)^2+(y-2)^2 = 4[/tex]

So, you have found the equation of circle.

If a car travels at 40km/hr for 4 hours, how much distance has it covered?

Answers

If a car travels at 40 km/hr for four hours, it will have covered 160 km. A line or line segment's length between two points along the line or line segment

How to find the distance?To calculate distance, use the formula d = st, or distance equals speed times time. Both rate and speed represent some distance per unit time, such as miles per hour or kilometers per hour. The length of the line segment connecting two points in a plane is defined as distance between two points. The formula for calculating the distance between two points is typically given as d = √((x2 – x1)² + (y2 – y1)²). This formula is used to calculate the distance between two points on a coordinate plane or an x-y plane.

Speed equals x distance over time, so to find distance, multiply the speed by the time.

For example, 40 km per hour times 4 hours equals 160 km after the 4 hour time period.

Then,

To put it another way,

40 × 4 = 160.

Hence, If a car travels at 40 km/hr for four hours, it will have covered 160 km.

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School band sold 30 raffle tickets each ticket is labeled with a number 1 to 31 winning ticket will be drawn what is the probability that the number of the winning ticket will be of four or the number 19 enter your answer as a fraction in the simplest form in the Box

Answers

Answer:

0.27

Step-by-step explanation:

To solve this problem, we will use Set Theory Approach to Probability.

Let U = the Sample Space which consists of all possible tests.

Of course U = {1,2,3 .... ,30}

So, no elements in that.

U = n = 30

Let Q = the event bearing a multiple of 4 No winning ticket, and,

R = the case that has the No. 19 winning ticket

Q  = { 4,  8, 12 , 16 , 20, 24 , 28} ,  and

R  = {19} , so that

Q ∩ R  = ϕ

P(Q ∩R ) = 0

As, n(Q) = 7 , n(R) = 1  , we have,

P (Q) = [tex]\frac{n (A)}{n(U)}[/tex] = [tex]\frac{7}{30}[/tex],  and P (R) = [tex]\frac{1}{30\\}[/tex]

P (Q∪R) = P(Q ) + P(R) − P(A∩B) = [tex]\frac{7}{30}[/tex] +  [tex]\frac{1}{30\\}[/tex] − 0 = [tex]\frac{8\\}{30\\}[/tex]

≅ 0.27 .

Monica earned twice as much as Samuel mowing lawn Monica earned $56. Write an equation to find,s, the amount of money Samuel earned ?

Answers

Answer:

see below

Step-by-step explanation:

Monica earned twice as much as Samuel

m = 2*s

Divide each side by 2

1/2 m = 1/2 ( 2s)

1/2 m = s

If monica earned 56

1/2 (56) = s

28 =s

How long was Anthony's family gone? Complete the explanation of how the answer can be found. To find the answer, count hour(s) from 5:05 to 6:05. Then count minutes to 6:35. Then count minutes to 6:45 and minutes to 6:51. I add them all up to get that the Anthony's family was gone hour(s) and minutes. Anthony's family went out to dinner. They left at the time shown on the clock. They returned home at 6:51 P.M.

Answers

Answer:

Thus, the Anthony's family were away for  1 hour 46 minutes

Step-by-step explanation:

We are being told  that Anthony's family went out to dinner and they left at the time shown on the clock (i.e 5;05 P.M) and they returned home at 6:51 P.M.

We are to calculate how long was Anthony's family gone

We all know that:

60 seconds = 1 minute

60 minutes = 1 hour

So from  5:05 to 6:05 = 60 minutes

From 6:05 to 6:35 = 30 minutes

From 6:35 to 6:45 = 10 minutes

From 6:45 to 6:51 = 6 minutes

Therefore ; to deduce how long was Anthony's family gone; we will have to sum up the values of the minutes from the above time- frames up;

So;  (60  + 30  + 10  + 6 ) minutes

= 106 minutes

since 60 minutes = 1 hour

Then 106 minutes = 1 hour 46 minutes

Thus, the Anthony's family were away for  1 hour 46 minutes

Mr. Tram was planning his trip from Dallas, TX to Detroit, MI. He knows that the total distance he needs to cover is 1620 km. He usually drives at a speed of 60 km per hour. If he is willing to drive up to 8 hours per day, how many days will this trip take?

Answers

5.8 days is the answer

The trip will take 3 days and 3 hours to complete.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Mr. Tram was planning his trip from Dallas, TX to Detroit, MI.

He knows that the total distance he needs to cover is 1620 km. He usually drives at a speed of 60 km per hour.

That means, the total time,

= 1620/60

= 27 hours.

He is willing to drive up to 8 hours per day.

The trip will take 27/8 = 3 days and 3 hours.

Therefore, the trip will take 27/8 = 3 days and 3 hours.

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Evaluate the logarithm. Round your answer to the nearest thousandth. 7 ( 25 ) ≈ log7​(25)≈log, start base, 7, end base, left parenthesis, 25, right parenthesis, approximately equals

Answers

Answer:

1.654

Step-by-step explanation:

Plugged in the calculator

Find x in this 45°-45°-90° triangle.

x=

Answers

Answer:

2.4

Step-by-step explanation:

Because it should be 2x your base

Answer:

1.2sqrt2 is ur answer

Step-by-step explanation:

erry solved this equation: 3 ( x −
1
4
) =
13
6

1. 3x −
3
4
=
13
6

2. 3x −
3
4
+
3
4
=
13
6
+
3
4

3. 3x =
26
12
+
9
12

4. 3x =
35
12

5. (
3
1
)
3
1
x =
35
12
(
3
1
)

6. x =
105
12

In which step did Jerry make an error?
In step 2, he should have subtracted Three-fourths from both sides.
In step 3, he should have found an LCD of 10.
In step 4, he should have subtracted 9 from 26.
In step 5, he should have multiplied both sides by One-third.

Answers

Answer:

1.3x-34=136

3x=136+34

3x=170

divide both side by 3

3x/3=170/3

x=56.7 answer

2.3x-34+34=136+34

3x+0=136+34

3x+0=170

3x=170-0

3x=170

divide both side by 3

3x/3=170/3

x=56.7 answer

3.3x=2612+912

3x=3524

divide both side by 3

3x/3=3524/3

x=1174.7 answer

4.3x=3512

divide both side by 3

3x/3=3512/3

x=1170.7 answer

5.(31)31x=3512(31)

31*31x=3512*31

961x=108872

divide both side by 961

961x/961=108872/961

x=113.2903 answer

6.x=10512

the question is still the answer.

Answer:

D) In step 5, he should have multiplied both sides by 1/3

Step-by-step explanation:

How can you use a table to solve an inequality

Answers

Answer:

Step-by-step explanation:

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.

But these things will change direction of the inequality: ...

Don't multiply or divide by a variable (unless you know it is always positive or always negative)

Find the surface area of the composite shape.
A: 2658.2m²
B: 257.97m²
C: 2501.2m²
D: 2579.7m²

Answers

Answer:

c

Step-by-step explanation:

[tex]25\pi + (8*10\pi)+[(35*12)-25\pi]+(35*12)+ 2(15*12)+2(35*15)=\\25\pi +80\pi + (420-25\pi) + 420 + 360 + 1050=\\105\pi-25\pi + 840 +1410=\\80\pi+2250=\\2501.32741229[/tex]

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