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SSSSS [86.1K]
3 years ago
11

Mrs smalls is sewing a sweater for her grandson. It took her 1/5 hour to sew 2/7 inch. How fast is Mrs smalls sewing speed in in

ches per hour
Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer: 1.4285 inches/hour

Step-by-step explanation: 1/5 of an hour is equal to 20%, or 0.2 hours. 2/7 inch is equal to 0.2857 inches, approximately. If she sews 0,2857 inches in 0,2 hours, we can cross multiply the values we want to discover:

x inches  -  1 hour

0.2857 inches - 0.2 hours

x.0.2=0.2857.1\\\\x=0.2857/0.2\\x=1.4285

Then, 1.4285 inches are sewed in one hour.

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3 years ago
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What is the cardinality of power set of A = {2,3,9,7,5}?
g100num [7]

Answer: 32

Step-by-step explanation:

     When the set has <em>n</em> elements, the power set has 2^n elements. This also gives us the cardinality of the power set, which is what we are looking for.

A = {2,3,9,7,5}

(1) 2

(2) 3

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    <em>n</em> = 5

\displaystyle 2^n

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32

5 0
2 years ago
P(x)= x^3+4x^2-8x-6 <br><br> a= -2
melisa1 [442]
Unfortunately, you haven't shared the instructions for this problem.  My guess is that you are to evaluate <span>P(x)= x^3+4x^2-8x-6 for x = a = -2.

If that's the case, then

P(-2) = (-2)^3 + 4(-2)^2 - 8(-2) - 6.  This simplifies to:

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8 0
4 years ago
8(a+b) when a is 5 and b is 3
lidiya [134]

Substitute 5 and 3 for a and b in the original expression.

8(a+b)

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8(8)

<u>The final answer is 64.</u>

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4 years ago
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Answer:

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3 years ago
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