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3 years ago

8

A weatherman predicted 17 inches of snow. The town actually got 1 and 1/2 feet of snow. By what percent was the weatherman’s pre

diction off?

2 answers:

Maslowich3 years ago

5 0

Answer:

1 1/2 feet of snow= 18 inches

17/18 is around .94 so there’s .06 that the weatherman was off on.

.06 = 6%

Step-by-step explanation:

Igoryamba3 years ago

5 0

8.3% He was off by one inch. 1/12 times x/100 equals 8.333%

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Which expression is equivalent to 15x – 2(3x + 6)?

lakkis [162]

Answer:

35x+12

Step-by-step explanation:

1. You combine like terms. (15x *3x=35x)

2.You Multiply other terms (2*6= 12)

3. Answer: 35x+12

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3 years ago

Find the volume of a pyramid with a square base, where the perimeter of the base is

Kobotan [32]

Answer:

6.8 cubic feet

Step-by-step explanation:

7.3/4=1.825, which is the side length, 1.825*1.825=20.2575 and then ypu divide 20.2575 by 3 because it is a pyramid and that gives you 6.7525

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3 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

Nequalities in Non Standard Form

Dominik [7]

Answer:

x < 31 I think

7 0

2 years ago

There are 110 calories in 8 ounces of gape juice. How many calories are in 10 ounces of grape juice?

daser333 [38]

In order to solve this problem, we need to set up a proportion. I am setting the amount of calories in 10 ounces of grape juice equal to x.

$\frac{110}{8} = \frac{x}{10}$

We begin to solve this by cross multiplying.

8x = 1,100

To finish the problem, we divide both sides by 8.

x = 137.5, so the 10 ounce glass of grape juice will have 137.5 calories.

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3 years ago