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Kazeer [188]
2 years ago
10

The perimeter of a rectangle is given by the formula below P=2(I+w)

Mathematics
1 answer:
inna [77]2 years ago
4 0

To find 'l' you have to reverse the whole formula. so p=2l+2w , then you subtract the '2w' from both sides, then divide '2' to get the 'l' by itself.  -> l = (p/2) - w

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A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol
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Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let x_1 be the number of widgets sold and x_2 be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

x_1+x_2=350...(1)

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

35x_1+22x_2=9,000...(2)

From equation (1), we will get:

x_2=350-x_1

Substitute this value in equation (2):

35x_1+22(350-x_1)=9,000

35x_1+7,700-22x_1=9,000

13x_1+7,700=9,000

13x_1+7,700-7,700=9,000-7,700

13x_1=1,300

\frac{13x_1}{13}=\frac{1,300}{13}

x_1=100

Therefore, the company sold 100 widgets.

Substitute x_1=100 in equation (1):

100+x_2=350

100-100+x_2=350-100

x_2=250

Therefore, the company sold 250 gizmos.

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