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zysi [14]
4 years ago
13

To fit between two windows, the width of a bookshelf must be no greater than 6.5 feet. Mrs. Aguilar purchases a bookshelf that i

s 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows? The bookshelf is 12 inches too wide to fit between the windows. The bookshelf will fit between the windows with no extra room remaining. The bookshelf will fit between the windows with 1 inch remaining. The bookshelf is 5 inches too wide to fit between the windows.
Mathematics
2 answers:
julia-pushkina [17]4 years ago
7 0

Answer:

The bookshelf will fit between the windows with 1 inch remaining.

Step-by-step explanation:

Let w represents the width of the bookshelf,

According to the question,

The width of a bookshelf must be no greater than 6.5 feet for being fit between the windows.

⇒ w ≤ 6.5 feet,

⇒ w ≤ 78 inches  ( 1 foot = 12 inches )

Given,

w = 77 inches

Since,

77

Thus, the book self will be fit between the window,

Also,

78-77=1

Hence, the bookshelf will fit between the windows with 1 inch remaining.

expeople1 [14]4 years ago
3 0

Answer:

The bookshelf will fit between the windows with 1 inch remaining.

Step-by-step explanation:

First, I will convert 6.5 feet to inches.

6.5 × 12 = 78 inches

So, there is 78 inches between the windows.

78 - 77 = 1 inch remaining

The bookshelf will fit between the windows with 1 inch remaining.

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3 years ago
The Math Club wants to order t-shirts to recognize students who improved their performance in Algebra I for their hard work and
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Answer:

Cost of ordering t-shirts the same at both sides is 7

The cost is $85

Step-by-step explanation:

let x equal the number of tshirts

Hence:

15 + 10x = 50 + 5x

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5x = 35

35/5x

x = 7

Therefore the cost of ordering t-shirts the same at both sides is 7

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8 0
3 years ago
Dorothy opens a savings account with $80 that earns 8.5% interest
Thepotemich [5.8K]

Answer:

$86.8

Step-by-step explanation:

Given that,

Principal, P = $80

Rate of interest, R = 8.5%

We need to find the money he will have in 1 year. As the interest is not compounded, it must be simple interest. The simple interest can be calculated by the formula,

I=\dfrac{PRT}{100}\\\\I=\dfrac{80\times 8.5\times 1}{100}\\\\=\$ 6.8

We know that,

Amount = Principal + interest

= $80 + $6.8

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Hence, the amount will become $86.8.

8 0
3 years ago
A rectangular field is eight times as long as it is wide. If the perimeter of the field is 900 feet, what are the dimensions of
Bas_tet [7]

Answer:

400 feet long

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Step-by-step explanation:

Length = l

Width = w

2l + 2w = 900

l = 8w

Plug the l from the bottom equation into the top equation

2 x 8w+ 2w = 900

16w = 900

Divide both sides by 16

16w/16 = 900/16

w = 50

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Now plug the new w into one of the original equations; we'll use the bottom one

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