High school math

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1. Find the Greatest Common Factor (GCF) of 18X3 and 30X5. (18X raise to the power 3) and (30X raise to the power 5)
A. 90X3 (90X raise to the power 3).
B. 90X5 (90X raise to the power 5).
C. 6X5 (6X raise to the power5).
D. 6X3 (6X raise to the power3).

2. Write 6.92 x 10-8 (10 raise to the power minus 8) in standard notation.
A. 0.00000692
B. 0.0000000069
C. 0.000000692
D. 0.0000000692

3. What fraction part of a day do you spend sleeping if you sleep 8 hours per day?
A. 8/12 8/12
B. 1/3
C. ½
D. 2/3

4. How many prime numbers are there between 21 and 35?
A. 3
B. NONE
C. 2
D. 4

5. Crystal wants to put a fence around her vegetable garden. Her garden is 5 ft wide and 4 ft long. She plans to put a post at each corner and at every foot. How many fence posts will Crystal need?
A. 14 posts
B. 19 posts
C. 18 posts
D. 20 posts

6. Indicate if it is >, <, or = 1/6 and 5/6
A. 1/6 < 5/6
B. 1/6 = 5/6
C. 1/6 > 5/6

7. 23, 780 lb = t
A. 47,560,000
B. 23 39/50
C. 89 89/100
D. 11

8. Solve Q – 7 5/6 – 6 ½
A. -1/4
B. 12 2/3
C. 14 1/3
D. 12 ½

9. Simplify: (-2q4/7)4. Show work

10. Write the decimal as a fraction or a mixed number in simplest form. 3.4- (3.4 to the power minus)
A. 4/9
B. 3 4/9
C. 3 2/5
D. 3 4/11

11. Simplify. (2/9)3
A. 8/720
B. 6/9
C. 2/729
D. 8/9

12. -13/7 x (-3 2/3)
A. 3 2/7
B. -5 5/21
C. 11
D. 5 5/11

13. Sasha finished mowing lawns at 4:15 PM. It took 1 ¾ h to mow the first lawn. The second and third lawns she mowed each took 1 1/5 h. She took one 45-min break. When did Sasha begin mowing the first lawn?
A. 10.05 A.M.
B. 11.05 A.M.
C. 11.21 A.M.
D. 12.21 P.M.

Solution Preview
Help solve the following High School Math Questions: Choose answers and explain.

1. Find the Greatest Common Factor (GCF) of 18X3 and 30X5. (18X raise to the power 3) and (30X raise to the power 5)
(18X)^3 = (2 * 3 * 3 * X)^3 = 2^3 * 3^6 * X^3
(30X)^5 = (2 * 3 * 5 * X)^5 = 2^5 * 3^5 * 5^5 * X^5
Therefore, the common factor involves the maximum common power for 2, 3 and X. The common factor is 2^3 * 3^5 * X^3 = 1944 * X^3. None of your answer choices below match the answer. There is likely an error in your question or answer choices.
I believe the proper question should include 30X3. The answer in that case would be 6X3 (D). Try the above method to see if you obtain the answer.
A. 90X3 (90X raise to the power 3).
B. 90X5 (90X raise to the power 5).
C. 6X5 (6X raise to the power5).
D. 6X3 (6X raise to the power3).

2. Write 6.92 x 10-8 (10 raise to the power minus 8) in standard notation.
This is essentially dividing 6.92 by 100000000. The result is a decimal with 7 leading zeros before the digit 6. The answer is …

Solution Summary
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