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katrin [286]
3 years ago
13

The ratio of the length of a rectangle to its width is 4 1/2 : 2 1/4. What is the unit rate of the length per width of the recta

ngle?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

Answer:  

The ratio simplifies fully to 2:1

=======================================================

Work Shown:

4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

2 & 1/4 = 2 + 1/4 = 2 + 0.25 = 2.25

The original ratio is the same as 4.5 : 2.25

Divide both parts by 2.25 and you'll end up with 2:1

4.5/2.25 = 2

2.25/2.25 = 1

This means the length is twice as long compared to the width.

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What is property of equality
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Answer:

Two equations that have the same solution are called equivalent equations e.g. 5 +3 = 2 + 6. And this as we learned in a previous section is shown by the equality sign =. An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic in
sukhopar [10]

Answer: Height = 20 inches

Width = 14 inches

Step-by-step explanation:

The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where L,W and H represents the length, width and height of the box.

The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

H = W + 6

Its length is 33 inches, and its volume is 9240 cubic inches. It means that

9240 = 33W(W + 6)

9240/33 = W(W + 6)

280 = W² + 6W

W² + 6W + (6/2)² = 280 + (6/2)²

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Taking square root of both sides, it becomes

W + 3 = √289 = 17

W = 17 - 3

W = 14

H = W + 6 = 14 + 6

H = 20

3 0
3 years ago
Which ordered pair is a solution of the system of equations?<br><br> y = 3x + 1<br> y = 5x - 1
kodGreya [7K]

Answer:

y=3x+1=4

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Step-by-step explanation:

DO THE MATH

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3 years ago
A die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on that face. (
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Answer:

simple, divide the number by two, round as needed. 6=3x as normal, 5=2.5x as nromal, etc.

Step-by-step explanation:

6 0
3 years ago
Solve: 9-5(9x +2) = -6
Sergeeva-Olga [200]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x  =  1 /9

Decimal Form:

x  =  0. 1111111111111111111111111

Hope this helps! Have a great day!

3 0
3 years ago
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