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Sloan [31]
3 years ago
12

A major convention center, whose floors are covered by a square carpet tiles with side lengths of 9 inches laid out in a 48 by 9

6 array, held a wild conference over the weekend. A local cleaning company was hired to clean the carpet tiles, given an offer of $0.05 per carpet square. The cleaners accepted the job, but not until after the convention center agreed to their counter of $0.10 per square foot. The cleaners were happy, because they knew they would be getting paid more than the convention center originally offered. How much more exactly?
A. $11.52
B. $28.80
C. $115.20
D. $201.60
Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:

option B

$28.80

Step-by-step explanation:

Given the question,

side length of one square tile = 9 inches

area of square tile = l² = 9² = 81 inches²

<h3>Step1</h3>

There are 48(96) = 4608 carpet tiles, so the company was making 4608($.05) = $230.40.

<h3>Step2 </h3>

Now, the company countered with square feet. We have a total of 4608(81) = 373,248 square inches.

1 square foot = 144 square inches.

373,248/144 = 2592 square ft.

2592($.10) = $259.20

$259.20 - $230.40 = $28.80

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Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}  

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is P(T)=\frac{1}{2}

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green P(S)=\frac{2}{3}

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three P(C)=\frac{1}{6}

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

P=P(T)+P(S)+P(C)

P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}

P=\frac{3+4+1}{6}

P=\frac{8}{6}

P=\frac{4}{3}

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}

5 0
3 years ago
Whats the value of 3x^2 + 5x when x=3 . show woro please if you can.
lubasha [3.4K]

Answer:

42

Step-by-step explanation:

3x^2 +5x

Let x=3

3(3)^2 +5(3)

3*9 +15

27+15

42

6 0
2 years ago
8-3(x - 5) + 2x + 3 how do I solve this ​
schepotkina [342]

Answer:

The answer is -x+26.

Step-by-step explanation:

First you distribute the -3 into the parthensis and you get -3x+15. You write the whole expression again plus the -3x+15 you got from the distributing part so 8-3x+15+2x+3. You combine the like terms so the x with the x and the numbers with the numbers. From there you get the answer of -x+26. I hope this helps you! If you need more clarification or more help please type it in the comments below. Thanks!

3 0
2 years ago
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AnnZ [28]

Answer:

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8 0
3 years ago
I would like to know the answer of the one under e
Ann [662]

Answer:

3ac + bc

Step-by-step explanation:

c(3a + b)

Distribute (multiply) the c to the numbers in the parentheses.

c * 3a = 3ac    c * b = bc

3ac + bc

4 0
3 years ago
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