9514 1404 393
Answer:
4. m = 3, n = 7
5. a) 2.0272; b) 72.4; c) 372
Step-by-step explanation:
4. 56 = 8×7 = 2^3 × 7
Comparing to 2^m × n, we see that m=3, n=7.
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5. It's all about scale factors. One way to work this problem is to write all of the numbers in terms of the numbers of the original "given."
a) 0.724 × 2.8 = (724×10^-3) × (28×10^-1) = 20272×10^-4
0.724 × 2.8 = 2.0272
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b) 202.72 ÷ 2.8 = (20272×10^-2) ÷ (28×10^-1) = 724×10^(-2-(-1)) = 72.4
202.72 ÷ 2.8 = 72.4
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c) 20272 ÷ 56 = (20272 ÷ 28) ÷ 2 = 724 ÷ 2 = 362
20272 ÷ 56 = 372
Answer:
d=-8
Step-by-step explanation:
1) Use the Distributive property on the left side of the equation:
3d-24-5=9(d+2)+1
2) Use the Distributive property on the right side of the equation:
3d-24-5=9d+18+1
3) Combine alike terms:
3d-29=9d+19
4) add a 29 to both sides:
3d=9d+48
5) Subtract a 9d from both sides:
-6d=48
6) Divide both sides by -6:
d=-8
Answer:
V=168ft³
Step-by-step explanation:
V=
w-6
h-4
l-7
V =
168ft³
Answer:
2
Step-by-step explanation:
To find the area of a rectangle, you multiply the length times the width. Since there are two units of measurements being used, you have to convert one of them so that the two values have the same units. Since the question asks for square feet, you need to convert 40 inches into # feet

·

40 in = 3.33 feet (aka 10/3 feet)
Now that both the length and width of the rectangle have the correct unit of measurement, you can multiply them together to find the area:
area = 3.33 ft · 9 ft
area = 29. 97 ft