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Nata [24]
3 years ago
5

#20 please help me with this Austin’s and an explanation please

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Answer:

10 2/15 hours

Step-by-step explanation:

If we have a candle that is 11 2/5 inches tall

It burns 1 1/8 inches per hour.  We need to divide to see how long the candle will last

11 2/5 ÷ 1 1/8

I will convert the mixed numbers to improper fractions

11 2/5 = (5*11+2)/5 = 57/5

1 1/8 = (8*1+1)/8 = 9/8

57/5 ÷ 9/8

Copy dot flip

57/5 * 8/9

456/45

Now we change it back to a mixed number

45 goes into 456  10 times with 6 left over

10 6/45

This simplifies to 10 2/15

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Answer: -4


Step-by-step explanation:


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3 years ago
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Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in mil
Sloan [31]
Nina's rate is 12.7 mph and Sophia's rate is 10 mph. Therefore, Nina is faster.
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NEED HELP QUICK! 20 POINTS!<br><br><br> Use the Law of Sines to find the measure of Angle R:
Troyanec [42]

Answer:

\large\boxed{m\angle R\approx76^o}

Step-by-step explanation:

\dfrac{\sin R}{SQ}=\dfrac{\sin S}{RQ}\\\\\text{We have:}\\\\SQ=32,\ RQ=26,\ S=52^o\to\sin52^o\approx0.788\\\\\text{Substitute:}\\\\\dfrac{\sin R}{32}=\dfrac{0.788}{26}\qquad\text{multiply both sides by 32}\\\\\sin R\approx0.97\to R=\arcsin(0.97)\\\\R\approx76^o

7 0
3 years ago
The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter
777dan777 [17]

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Step-by-step explanation:

6 0
3 years ago
Caroline is considering two video game rental plans. Plan A can be modeled with the equation C = 2n, and Plan B can be modeled w
meriva

Options

A. Caroline rents exactly 7 games each month.

B. Caroline rents exactly 6 games each month.

C. Caroline rents 6 or more games each month.

D. Caroline rents from 1 to 5 games each month.

Answer:

D. Caroline rents from 1 to 5 games each month.

Step-by-step explanation:

Given

Plan A:

C = 2n

Plan B:

C = n + 6

Required

Which options justifies A over B

The solution to this question is option (d).

In option d, n = 1,2,3,4,5

When any of the values of n is substituted in plan A and B, respectively; the cost of plan A is cheaper than plan B.

This is not so, for other options (A - C)

To show:

Substitute 1 for n in A and B

Plan A:

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Plan B:

C = n + 6 = 1 + 6 = 7

Substitute 5 for n in A and B

Plan A:

C = 2n  = 2 * 5 = 10

Plan B:

C = n + 6 = 5 + 6 = 11

<em>See that A < B</em>

8 0
3 years ago
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