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3 years ago

Series:

Mathematics

1 answer:

Bezzdna [24]3 years ago

8 0

Answer:

Step-by-step explanation:

The common difference is 3.

nth term = -6+(n-1)3

-6+(n-1)3 = 162

(n-1)3 = 168

n-1 = 56

n = 57

162 is the 57th term.

S₅₇ = 57×(a_1+a_{57})/2

= 57×(-6+162)/2

= 57×156/2

= 57×78

= 57×(-6+162)/2

= 4446

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Choose the correct solution and graph for the inequality-5y<_-15

swat32

For this case we have the following inequality:

$-5y \leq-15$

To solve, we follow the steps below:

We divide between 5 on both sides of the inequality:

$-y \leq \frac {-15} {5}\\-y \leq-3$

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3 years ago

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3 years ago

against the wind a small plane flew 280 miles in 1 hour and 10 minutes. the return trip took only 50 minutes. What was the speed

Amanda [17]

1) 1hour 10minutes = $\frac{7}{6}$ hours,
50 minutes = $\frac{5}{6}$ hours

2) speed of plane against the wind = $\frac{280miles}{ \frac{7}{6} } = \frac{280*6}{7}=240miles /hours$

3) speed of plane on the the wind = $\frac{280miles}{ \frac{5}{6} } = \frac{280miles*6}{5}=336miles/hours$

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4 years ago

A total of 1,650 boxes of Girl Scout cookies were sold last week. Each large box cost $3.50 and each small box cost $2.00. The G

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Answer:

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Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of large boxes of cookies sold.

y is the number of small boxes of cookies sold.

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