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2 years ago

7

Solve the linear expression 5(-3.4k-7)+(3k+21)

1 answer:

Ksivusya [100]2 years ago

6 0

Our expression is below

$5(-3.4k-7)+(3k+21) = 0$

by solving it for the value of k

$(-17k-35)+(3k+21) = 0$

$-17k+3k-35+21 = 0$

$-14k-14 = 0$

$-14k = 14$

$k = \frac{14}{-14}$

$k = -1$

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Angelina_Jolie [31]

assuming you meant to simplify above,

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2 years ago

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A water tank in the shape of a right cylinder has a diameter of 14 feet and a height of 18 feet. What is the volume?

Doss [256]

Volume = (pi 3.14)(r^2)(h)

(3.14)(49)(18)

(153.86)(18)

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2 years ago

Jenna uses 18 inches of ribbon for each box she wraps. How many yards of ribbon does she needs to wrap 4 boxes?

eduard

Answer:

Jenna needs 2 yards of ribbon to wrap 4 boxes.

Step-by-step explanation:

First, we can find how many inches of ribbon she needs.

18*4=72

She needs 72 inches of ribbon for 4 yards.

There are 36 inches in a yard.

72/36=2

Jenna needs 2 yards of ribbon to wrap 4 boxes.

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2 years ago

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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Crazy boy [7]

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

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3 years ago

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Answer:There were 10 bouquets of roses made and 4.5 bouquets of tulips made

Step-by-step explanation:

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3 years ago