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3 years ago

Please help!!! Thanks!

Mathematics

1 answer:

Darina [25.2K]3 years ago

3 0

8x+(4*30)=6(6+30)
8x+120=6x+180
2x=60
x=30 pounds of coffee

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Write and solve an equation to find the unknown side length x (in inches).

Gekata [30.6K]

The value of side length x is equal 6.05 in

<h3>Perimeter of a Square</h3>

The perimeter of a square is given as the sum of the total sides in the square or 4 multiplied by the side length of the square since they all have equal sides.

Mathematically, this can be written as

$P = 4 *L\\P = 4l\\$

L = side length

In this given question, the side length is equal to x and the perimeter of the square is given as 24.2in.

Let's substitute the values

$P = 4L\\24.2 = 4L\\but l = x\\24.2 = 4x\\x = 6.05in$

The side length of the square is equal to 6.05in

Learn more on perimeter of square here;

brainly.com/question/24487155

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complete question

Write and solve an equation to find the unknown side length x (in inches).

Perimeter =24.2 in. assuming the figure is a square

8 0

1 year ago

a cell phone company plans to market a new smartphone. they have already sold 612 units durning the first week of the campaign.

Vadim26 [7]

The first term is 612.

The common ratio is 1.08 and

The recursive rule is $a_{n} = a^{n-1} \times r$

<u>Step-by-step explanation:</u>

the question to the problem is to write the values of the first term, common ratio, and expression for the recursive rule.

<u>The first term :</u>

In geometric sequence, the first term is given as $a_{1}$ .

⇒ $a_{1} = 612$

Now, the geometric sequence follows as 612, 661, ........

<u>The common ratio (r) :</u>

It is the ratio between two consecutive numbers in the sequence.

Therefore, to determine the common ratio, you just divide the number from the number preceding it in the sequence.

⇒ r = 661 divided by 612

⇒ r = 1.08

<u>To find the recursive rule :</u>

A geometric series is of the form a,ar,ar2,ar3,ar4,ar5........

Here, first term $a_{1} = a$ and other terms are obtained by multiplying by r.

Observe that each term is r times the previous term.
Hence to get nth term we multiply (n−1)th term by r .

The recursive rule is of the form $a_{n} = a^{n-1} \times r$

This is called recursive formula for geometric sequence.

We know that r = 1.08 and $a_{1}$ = 612.

To find the second term $a_{2}$ , use the recursive rule $a_{n} = a^{n-1} \times r$

⇒ $a_{2} = a^{2-1}\times r$

⇒ $a_{2} = a^{1}\times r$

⇒ $a_{2} = 612\times 1.08$

⇒ $a_{2} = 661$

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marishachu [46]

Answer:

Just match values.

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