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3 years ago

A hot air balloon descended 3,240 feet in an hour. find the change in altitude per minute.

Mathematics

1 answer:

3241004551 [841]3 years ago

4 0

Answer:

-54ft/min (-54 feet per minute)

Step-by-step explanation:

To solve this, we need to use background knowledge to get one of our missing numbers.

Since we know an hour is 60 minutes, we need to do 3,240/60 to receive our unit rate. So, 3,240/60 would equal 54.

But, the balloon is descending (going down), so we need to make our answer negative (54 -> -54)

Therefore, the hot air balloon is descending 54 feet per minute, or -54ft/min.

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Quick I need an answer to this Queston:

fiasKO [112]

Step-by-step explanation:

$- \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1$

$- \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2}$

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The answer is C.

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2 years ago

Write a verbal expression for 3n - 8.

Alchen [17]

(B) 8 less than the product of 3 and n

Here, we are given an equation 3n - 8

Let us consider each of the options one by one

(A) the product of 3, n and 8 will be written as 24n. Hence this isn't the correct answer.

(B) 8 less than the product of 3 and n will be written as 3n - 8. This matches our equation and hence is the correct answer.

(D) 3 times n less than 8 will be written as 8 - 3n. Thus, this is also eliminated.

Therefore, option B is the correct answer.

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2 years ago

Simplify (Are all division) 2+4i 3i 3+2i 4+i 2i^11

Alla [95]

$We\ know:\ i=\sqrt{-1}\to i^2=-1$

$\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i$

$\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i$