Mathematics High School

Carpet for one office costs $210. If the carpet sells for $8.75 per
square yard, how many square yards of carpet are needed for
one office?

Answers

Answer 1

Answer:

a.

Let x be the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

We have an expression for the total cost of Country Carpets:

($22/ 1 yd^2)* (x yd^2) + $100

= $22*x+ $100

or 22x+ 100

We also have another expression for the total cost of City Carpets:

($25/ 1 yd^2)* (x yd^2)+ $70

= $25*x+ $70

or 25x+ 70

Now set the two expressions to be equal:

22x+ 100= 25x+ 70

⇒ 100- 70= 25x -22x

⇒ 30= 3x

⇒ 30/3= x

⇒ 10= x

The final answer for a is 10 square yards of carpeting~

b.

Let's assume that Mr. Shu wants to install carpeting for 1 square yard.

Country Carpets: $22*1+ $100= $122

City Carpets: $25*1+ $70= $95

Therefore, Mr. Shu will be likely to choose City Carpets if he wants to install carpeting for 1 square yard.

Now let's try x=11 (square yard):

Country Carpets= $22*11+ $100= $342

City Carpets= $25*11+ $70= $345

Therefore, Mr. Shu will be likely to choose Country Carpets if he wants to install carpeting for 11 square yard.

If you paid really close attention, you would notice that the price of City Carpets will be cheaper than the other when x is >0 and <10. At x=10, the price is equal. When x is >10, the price of Country Carpets will be cheaper than the other one.

So it depends:

If x were >0 and <10, Mr. Shu would be likely to choose City Carpets.

If x were 10, Mr. Shu could choose either Country Carpets or City Carpets.

If x were > 10, Mr. Shu would be likely to choose Country Carpets.

Hope this helps~

Step-by-step explanation:

Related Questions

Worth a lot of points!
Express the following equation in the form ax^2+bx+c=0:
(4a+3)^2=(a+5)(a−2)

Answers

Answer:

15a² + 21a + 19 = 0

Step-by-step explanation:

Given

(4a + 3)² = (a + 5)(a - 2)

(4a + 3)(4a + 3) = (a + 5)(a - 2 ) ← expand both sides using FOIL

16a² + 24a + 9 = a² + 3a - 10 ( subtract a² + 3a - 10 from both sides )

16a² - a² + 24a - 3a + 9 + 10 = 0 ← collect like terms

15a² + 21a + 19 = 0

There are 5 pencils in a pack.
Catalina has 2 packs. How many
pencils in all?
(unit)
Reese has 20 packs. How many
pencils in all?
(unit)

Answers

Answer:

Catalina has 10 pencils total. (2 x 5 = 10)

Reese has 100 pencils total. (20 x 5 = 100)

Answer:

1. 10 2. 100

Step-by-step explanation

5 x 2= 10

20x 5= 100

Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x + 2 > 7.

Answers

I can't see pictures, but I'm assuming you want it solved.

x+2>7.

Cancel out the 2 by subtracting 2 from both sides.

x+2>7

 -2   -2

x>5

So the inequality is x>5.

---

hope it helps

sorry if it doesn't

HELP!!! Andre reads 2 1/2 pages in 1/4 hour. What is the complex fraction and unit rate?

Answers

Answer:

20

Step-by-step explanation:

2 1/2 = 5/2

5/2 x 4/1 = 20/1 = 20

(We are dividing fraction)

(keep change flip)

10 to the 9th power?

Answers

100000000 that's the answer

Answer:

1000000000

Step-by-step explanation:

All you had to do is 10 times 10 9 times if

Evaluate the expression: 3x + 5 = ? when x = 2.

A. 8
B. 9
C. 10
D. 11

Answers

When x = 2

Then f(x) = 3x + 5

3 × 2 + 5

6 + 5 = 11 Ans. ( Opt. D )

solve for x: 3/4(12x-4)=12

Answers

Answer:

5/3

Step-by-step explanation:

Divide both sides by 0.75:

12x - 4 = 16

12x = 20

x = 20/12 = 5/3

Graph each inequality. anyone know

Answers

I can’t see the picture clearly, but the line should be horizontal and it should be running through -3 on the y axis and the bottom should be highlighted

Two towns tracked the attendance at their summer fairs in 2016 and 2017. The data for each town and year is shown below. Year Ogdenville North Haverbrook 2016 960 500 2017 1008 540 What was the difference between the percent increases for each town from 2016 to 2017?

Answers

Answer:

48 and 5%; 40 and 8%

Step-by-step explanation:

The computation of the difference between the percentage increase for each town from 2016 to 2017 is given below:

Year Ogdenville North Haverbrook

2016              960                500

2017              1008               540

So here the difference would be

For 2016 to 2017

= 1008 - 960

= 48

The percentage increase is

= 48 ÷ 960

= 5%

And,

= 540 - 500

= 40

And, the percentage increase is

= 40 ÷ 500

= 8%

What's the meaning of 6, 7, 3, 8, 6, 6, 2, 9, 7

Answers

The mean is 6

In order to find the mean you add all the number together and then divide by the amount of numbers!

Please help! Thank you.

Answer choices below:
A. Very weak
B. Moderately weak
C. Very strong
D. Moderately strong

Answers

Answer:

Step-by-step explanation:

es la d

factorise x ^ 4 + 1/x ^ 4 - 3​

Answers

Answer:

Step-by-step explanation:

Add 1 and subtract 1, so that the expression won't change.

[tex]x^{4}+\frac{1}{x^{4}}-3=x^{4}+\frac{1}{x^{4}}-3 +1 - 1\\\\=x^{4}+\frac{1}{x^{4}} - 2 + 1\\\\= (x^{2})^{2} + (\frac{1}{x^{2}})^{2}- 2 *x^{2}*\frac{1}{x^{2}} - 1\\\\[/tex]

[tex]= (x^{2} -\frac{1}{x^{2}})^{2} - 1\\\\=(x^{2}-\frac{1}{x^{2}})^{2}- 1^{2}[/tex]              

(a² - b²) = (a+b)(a - b)

Here a = x² - (1/x²)  and b = 1

[tex]= [ (x^{2}-\frac{1}{x^{2}})+ 1 ] [ (x^{2} -\frac{1}{x^{2}} - 1 ][/tex]

what is the speed limit in miles per hour (sign reads 55km/h) PLS HELP ASAP ILL MARK BRAINLIEST

Answers

Answer:

34mph

...............

Answer:

34mph ALSO TOP OF THE MORING LADIE

Step-by-step explanation:

The expression 3(x-6)2-2(x-1) is equivalent to

Answers

Answer:

a

Step-by-step explanation:

did it on egde 100 percent

What is the length of it’s diagonal?

Answers

i believe the answer is d

1 ls 25% of what number?

Answers

Answer:

1 is 25% of 4

25 x 4 = 100

1 x 4 = 4

HELPHELPHELPHELPHELPHELPHELP​

Answers

Answer:

the answer is 75

Step-by-step explanation:

225 ÷ 3

75

Answer:

75

Step-by-step explanation:

no.of candles he make in 3 hrs = 225

no. of candles he make in 1 hr = 225/3

= 75 candles

the difference between a number and 7,multiplied by 8,is 24.

Answers

Answer:

X - 7 x 8 = 24

Step-by-step explanation:

Is your algebra expression

please help will be marking Brainliest

Answers

Answer:

A or b not to sure

Step-by-step explanation:

Factoring Trinomials is the opposite of Multiplying two binomials together?

True or False

Answers

that would be false.
I think it’s false hope this helps

help if u can guys i’ll give u brainliest

Answers

Answer: the answer is 16 I think

Step-by-step explanation:

Answer: 16 inches

a^2+30^2=34^2

a^2+900=1156

      -900 -900

a^2=256

Square both sides to cancel a^2

a=16

Hope I helped!

What is the slope of y = 5x – 1?

Answers

Answer:

5

Step-by-step explanation:

The equation of a line is y=mx+b. b is the y-intercept when the line is graphed. The y-intercept is when the line intersects the y-axis. m is the slope of the line. In the given equation, m is equal 5, thus the slope is 5.

What is the area, in square feet, of the trapezoid below?

Answers

Answer:

A=54

Step-by-step explanation:

A=a+b /2 h=8+13.6 /2/ ·5=54

Help plssss lolllllll

Answers

Answer:

8

Step-by-step explanation:

you want to set it up like this

8/20   and   6/2x-1

then you cross multiply

so 8(2x-1)  = 16x-8

and 20*6 = 120

then you do 120= 16x-8

add 8 to both sides   (you want x by it's self so to get rid of a -8 you have to add 8)

128= 16x  

(divide both sides by 16)

128/16= 8

8=x

Answer:

what they said↑↑↑

Step-by-step explanation:

PLEASE HELP ME ASAP I'LL GIVE BRAINLIEST

Answers

Answer:

Y = 6

Step-by-step explanation:

Rearrange terms

4+ =10

+ 4 = 10

Subtract 4  from both sides of the equation:

+ 4 =10

+ 4 −4 = 10 − 4

Simplify: Subtract Numbers:

Solutions is y= 6


What is the value of 16.43 – 1.043

Pls show the work of how you did it

Answers

Answer:

15.387

Explanation:

16.43
- 1.043
————
15.387
Decimals are cool because you can add zeros to the end of them, and they will still be the same number.

16.43 = 16.430

I add the zero to the thousandths place because I am subtracting a number from 16.430 that has a number in the thousandths place. When you line the two numbers up to subtract you want to make sure they have an equal amount of decimal places.

1 6. 4 3 0 <— you now are ready to subtract.
- 1 . 0 4 3 I lined up the numbers in the
—————— ones, tenths, hundredths + Thousandths place. I drop the decimal point down.

Start from the rightmost digit.
You can’t subtract 3 from 0, so you borrow ten from the left.
3-1 =2. Cross out 3 and write 2 above it.
You add 10 to 0. 10+0=10. Cross out 0 and write 10 above it.
You can subtract 3 from 10 now. 10-3=7.

2 10
1 6. 4 3 0 You now have this.
- 1 . 0 4 3
——————
. 7

You can’t subtract 4 from 2, so you borrow from the left again.
4-1=3. Cross out 4 and write 3 above it. 2+10=12. Cross out 2 and write 12 above it.
12 - 4 = 8.
This is what that looks like:

12
3 2 10
1 6. 4 3 0 You now have this.
- 1 . 0 4 3
——————
. 8 7

3 - 0 = 3.
6 - 1= 5.
1 - 0 (as there is no digit in the tenths place) = 1

12
3 2 10
1 6. 4 3 0 You now have this.
- 1 . 0 4 3
——————
1 5. 3 8 7

So 16.43-1.043= 15.387

Help please
Find the value of x. *

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]x=\sqrt{10^{2}-y^{2}}[/tex]

Step-by-step explanation:

[tex]x^{2} +y^{2} =10^{2} \\x^{2} =10^{2}-y^{2}\\x=\sqrt{10^{2}-y^{2}}[/tex]

please please help me it’s due today i really need it help me

Answers

160m^2 hope that helped

helpoo plsssss am stuck​

Answers

Answer:

The median for 1 is **15**

Step-by-step explanation:

Answer:

1. 142. 16

Step-by-step explanation:

1. 7, 13, 14, 14, 16 --> 13, 14, 14 --> 14

Result/Median : 14

2. 8, 10, 13, 16, 16, 17, 20, 20 -->

10, 13, 16, 16, 17, 20 -->

13, 16, 16, 17 -->

16, 16 --> You are left with two numbers, so you find their average.

16 + 16 = 32 / 2 = 16

Result/Median: 16

Hope that helps!

PLEASE HELP DUE TODAY WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

1. 2

2. 1/4

3. 3

4. 5

5. 3/2

6. -6

7. -3

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