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Ymorist [56]
3 years ago
11

The length of a rectangle is 9 inches longer than the width. If the area is 205 square inches, find the

Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer:

L=19.5in w=10.5in

Step-by-step explanation:

Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9

Area is (width)(Length) = (width)(width+9)

W

----------

| |

| |

| | L = w+9

| |

| |

-----------

A = (w+3)(w)

A = w2 + 9w = 205.

(Problem states that area is 205 sq in)

Need to solve this quadratic equation

w2 + 9y - 205 = 0

Factor:

(w - 10.51) (w + 19.51) = 0

So

w - 10.51 = 0. or. w + 19.51 = 0

Solve these and get

w = 10.51. or. w = -19.51

Only one that makes sense in real life is the positive one.

So the dimensions are

Width = 10.51 inches

Length = 19.51 inches

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There are 216 people voting on the bill 3/8 of the people voted yes on the bill How many people voted yes
larisa86 [58]

Answer:

81

Step-by-step explanation:

total number of people voting = 216

number of people who voted yes = 216(\frac{3}{8})

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3 years ago
The following question has 2 parts. First, answer part A. Then, answer part B.
aalyn [17]

The fraction that represents the addition model shown above will be 53/100.

<h3>How to solve the fraction?</h3>

From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.

Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.

Therefore, the problem that represents the addition model shown above will be:

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In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.

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2 years ago
Brian's monthly gross income is $2,950. He pays 22% of his monthly gross
ser-zykov [4K]

Answer:

Yes

Step-by-step explanation:

I = 2950

T = 22% x 2950 = 649

CC = 10% x 2950 = 295

NC = 8% x 2950 = 256

R = 1300

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2950 - ( 649+ 295 + 256 + 1300) > 0

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8 0
3 years ago
Find h(-1) if h(x) =- 3|3x – 6|– 3?
Dahasolnce [82]

Answer:

Step-by-step explanation:

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3 years ago
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