Answer:
- housing, $1056
- food, $552
- transportation, $408
- savings, $240
- clothing, $144
Step-by-step explanation:
Multiply the budget total by the percentage for each category:
- housing: 44% × $2400 = $1056
- food: 23% × $2400 = $552
- clothing: 6% × $2400 = $144
- transportation: 17% × $2400 = $408
- savings: 10% × $2400 = $240
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Find "the rest" by subtracting the total of percentages from 100%, or by subtracting the total of budget categories from $2400. Here, everything (not including savings) adds to 90% × $2400 = $2160, so the amount to savings is 10%, or $240.
Answer:
3
Step-by-step explanation:
12-4=5 and 1+3+1 also equals 5.
Answer:
a=21.1
Step-by-step explanation:
You can use the given (incorrect) equation and fill in the value of t to find h:
h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet
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Or, you can use the correct equation, or just your knowledge of revolutions:
h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet
in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.
Answer:
(6 + m²)(6 + m²) . . . . . . . lower left selection
Step-by-step explanation:
When in doubt, you can multiply out the offered factorizations and see which one gives you the given expression.
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A lot of math is about pattern matching. The given trinomial has first and last terms that are perfect squares. The first term is the square of 6. The last term is the square of m². The middle term is double the product of these two square roots: 2·(6m²) = 12m².
This pattern matches the special form of the square of a binomial:
(a + b)² = a² + 2ab + b²
This special form is useful to commit to memory (at least while you're in math classes in school).
So, when you see 6² + 2·6·m² + (m²)², you can recognize that it is the square ...
(6 + m²)²
When this is written out in the way the answer choices are written, it looks like ...
(6 + m²)(6 + m²)
