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Read and solve the problem. Show your solution. (5 points each)
A.
An auditorium is 20 m by 10 m by 5 m. How many cubic meters of air does it contain?
A box of milk is 3 dm on each side. How many cubic decimeter of milk can it hold?
B.
Find the value of n. Write the answer on the box before each number.
1. 45 + n = 93
2. n + 12 + 46 + 34 = 130
3. n + 2 463 = 6 978
4. 9 080 – n = 3 882
5. 660 = 4 n
6. 9 n = 1 872
7. 145 ÷ n = 29
8. 32 n = 480
9. n ÷ 12 = 672
10. 756 ÷ 21 = n
C.
Give the actual measures using the indicated scales below.
Scale: 1 cm: 15 meters Scale: 1 inch: 7 feet
8 cm :
m 6. 34 inches :
feet
10 cm :
m 7. 20 inches :
feet
27 cm :
m 8. 58 inches :
feet
35 cm :
m 9. 9 inches :
feet
47 cm :
m 10. 8 inches :
feet
Answers & Comments
Answer:
B.
Step-by-step explanation:
1. 45 + n = 93
Subtracting 45 from both sides gives n = 48.
2. n + 12 + 46 + 34 = 130
Combining like terms on the left side gives n + 92 = 130.
Subtracting 92 from both sides gives n = 38.
3. n + 2 463 = 6 978
Subtracting 2,463 from both sides gives n = 4,515.
4. 9 080 – n = 3 882
Subtracting 3,882 from both sides gives 9,080 - 3,882 = n.
Therefore, n = 5,198.
5. 660 = 4 n
Dividing both sides by 4 gives n = 165.
6. 9 n = 1 872
Dividing both sides by 9 gives n = 208.
7. 145 ÷ n = 29
Multiplying both sides by n gives 145 = 29n.
Dividing both sides by 29 gives n = 5.
8. 32 n = 480
Dividing both sides by 32 gives n = 15.
9. n ÷ 12 = 672
Multiplying both sides by 12 gives n = 8,064.
10. 756 ÷ 21 = n
Dividing both sides gives n = 36.
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