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scoundrel [369]
2 years ago
15

Tim installs 50 square feet on his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?

Mathematics
1 answer:
Katena32 [7]2 years ago
6 0

Answer:

445.5 minutes

or 7 hours 25 minutes 30 seconds

Step-by-step explanation:

We can use ratio's to solve

50 ft^2           495 ft^2

--------------  = ------------

45 minutes    x minutes

Using cross products

50x = 45*495

50x=22275

Divide each side by 50

50x/50 = 22275/50

x =445.5

445.5 minutes

If we want to convert to hours and minutes, divide by 60

7 hours is 420 minutes

445.5 -420 = 25.5

7 hours 25 minutes

.5 minutes is 30 seconds

7 hours 25 minutes 30 seconds

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The answer is 10110

===============================================

Explanation:

Divide 22 over 2. Use long division to find the quotient and remainder
22/2 = 11 remainder 0 <<--- this remainder will be used later. Call it A, so A = 0

Now repeat for the value 11, which was the quotient above
11/2 = 5 remainder 1 <<--- this remainder will be used later. Call it B, so B = 1

Repeat again for the quotient we just got
5/2 = 2 remainder 1 <<--- this remainder will be used later. Call it C, so C = 1

Repeat again
2/2 = 1 remainder 0 <<--- this remainder will be used later. Call it D, so D = 0

Repeat again
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The last quotient above is 0, so we stop here. If we tried to keep going, then we'd get nothing but 0 remainders forever.

The remainders we got above were:
A = 0
B = 1
C = 1
D = 0
E = 1

The idea is to read the remainders in reverse order in which we found. So we start with E and work back to A
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So 22 base 10 = 10110 base 2

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3 years ago
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Answer:

8x + 108 = 9

Step-by-step explanation:

Given

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6 0
3 years ago
Please show your workings
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Hope it helps!
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