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bonufazy [111]
2 years ago
7

Greg is installing a tile floor in a room that is 10 feet long by 15 feet wide. He will use 1-foot square tiles. He has two diff

erent types of tile: plain and hand-painted. Plain tiles cost $0.79 per tile. Hand-painted tiles cost $5.00 per tile. What is the maximum number of hand-painted tiles that Greg can use to keep the total cost under $200?
Mathematics
1 answer:
aivan3 [116]2 years ago
4 0

Answer:

The maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200 is 19.

Step-by-step explanation:

Since Greg is installing a tile floor in a room that is 10 feet long by 15 feet wide, and he will use 1-foot square tiles, and he has two different types of tile: plain and hand-painted, and plain tiles cost $ 0.79 per tile, while hand-painted tiles cost $ 5.00 per tile, to determine what is the maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200, the following calculation must be performed:

10 x 15 = 150

150 x 0.79 + 0 x 5 = 118.5

130 x 0.79 + 20 x 5 = 202.7

131 x 0.79 + 19 x 5 = 198.49

Therefore, the maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200 is 19.

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Phoebe, Andy and Polly share £270.
Stella [2.4K]
*Given
Money of Phoebe            - 3 times as much as Andy
Money of Andy                - 2 times as much as Polly
Total money of Phoebe,  - <span>£270
</span>    Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus, 
</span>
                  B + A + L  = <span>£270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as
  
                  B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                  A = 2L</span>                           (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly, 

                 B = 3A
                 B = 3 x (2L)
                 B = 6L                            </span>(EQUATION 3)<span>

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only. 

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes, 

                  6L + 2L + L = </span><span>£270
</span>                                9L = <span>£270
</span>                                  L = <span>£30

So, Polly has </span><span>£30. 

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively. 
</span>
                  A = 2L                           
                  A = 2(£30)
                  A = £60

Andy has £60

                  B = 6L                         
                  B = 6(£30)
                  B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
7 0
3 years ago
3(0.7z+2.8)=7(1.5z+7.2)
AnnZ [28]

Answer:

z = -5

Step-by-step explanation:

3(0.7z + 2.8) = 7(1.5z + 7.2)

2.1z + 8.4 = 10.5z + 50.4

2.1z - 10.5z = 50.4 - 8.4

-8.4z = 42

z = 42/(-8.4)

z = -5

7 0
3 years ago
Enter the equation of the circle described below. <br> Center (-1,4), radius = sqrt3
slava [35]
The equation of a circle always follows this:

(x - x1) + (y - y1) = r^2

x1 and y1 represent the coordinates as POSITIVE numbers and the r represent the radius

Your answer is (x + 1) + (y - 4) = 3
8 0
3 years ago
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swat32
81.
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A.
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1.79 x 10^5 = 1.79 * 100,000 = 179,000

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(5.9736 x 10^24) + (4.8685 x 10^24)
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