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koban [17]
3 years ago
14

Kevin cuts 3/4 off of the length of a log. Kenneth cuts 1/8 off of what is left. How much of the original log remains?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0

Answer:

7/32

Step-by-step explanation:

1. Subtract the 3/4

1 - 3/4 = 1/4

2. Find what 1/8 of 1/4 is

1/4 × 1/8 = 1/32

3. Subtract it from 1/4

1/4 - 1/32

4. Multiply 1/4 by 4/4 to get a common denominator to subtract

1/4 × 4/4 = 8/32

8/32 - 1/32 = 7/32

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To make concrete, the ratio of cement to sand is 1 : 3. If cement and sand are sold in bags of equal mass, how many bags of ceme
kotykmax [81]

Answer:

5 bags of cement are required.

Step-by-step explanation:

Since to make concrete, the ratio of cement to sand is 1: 3, if cement and sand are sold in bags of equal mass, to determine how many bags of cement are required to make concrete using 15 bags of sand the following calculation must be done:

Cement = 1

Sand = 3

3 = 15

1 = X

15/3 = X

5 = X

Therefore, 5 bags of cement are required.

3 0
3 years ago
A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t
IRISSAK [1]

Answer:

  • <em><u>The reduction is 8.6%</u></em>

Explanation:

Call F the full monthly pension of a person retiring at 62.

If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:

  • Pension=F(1+r/12)^{12t}

Where r = 6 / 100 = 0.06, and t = number of years after retirement.

<u>For retirement at 65.5</u>:

  • t = 65.5 - 62 = 3.5

  • Pension=F(1+0.06/12)^{12\times 3.5}=1.233F

<u>For retirement at 67</u>:

  • t = 67 - 62 = 5

  • Pension=F(1+0.06/12)^{12\times 5}=1.349F

<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:

  • (1.349F-1.233F)\times 100/(1.349F)=8.6\%
8 0
3 years ago
Hello, could you please explain this to me?
Viefleur [7K]

Find the value of r(q(4)), so first you need to find the value of q(4).

q(4), this means that x = 4, so substitute/plug it into the equation to find the value of q(x) when x = 4:

q(x) = -2x - 1      Plug in 4 into "x" since x = 4

q(4) = -2(4) - 1

q(4) = -8 - 1

q(4) = -9        

Now that you know the value of q(4), you can find the value of r(x) when x = q(4)

r(x) = 2x² + 1

r(q(4)) = 2(q(4))² + 1      Plug in -9 into "q(4)" since q(4) = -9

r(q(4)) = 2(-9)² + 1

r(q(4)) = 2(81) + 1

r(q(4)) = 163           163 is the value of r(q(4))

5 0
3 years ago
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