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ankoles [38]
2 years ago
7

The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 110 inches. Find the length and the width.

Mathematics
1 answer:
nataly862011 [7]2 years ago
6 0

Answer:

  • Length = 43 inches
  • Width = 12 inches

Step-by-step explanation:

Perimeter of a rectangle = 2 * ( L + W)

The length of a rectangle is 5 inches less than 4 times the width.

Assume the width is x. Length is:

4x - 5

Equation is therefore:

2 * (4x - 5 + x) = 110

4x - 5 + x = 110/2

5x - 5 = 55

5x = 55 + 5

x = 60/5

x = 12 inches

If width is 12 inches, then length is:

= 4x - 5

= 4 * 12 -5

= 43 inches

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balu736 [363]

Answer:

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Step-by-step explanation:

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3 years ago
Write the recursive rule and an explicit rule for the geometric sequence 9,27,81,243
SashulF [63]

Answer:

Recursive

a(1) = 9 ; a(n+1) = 3 * a(n)

Explicit

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5 0
3 years ago
Fraction calculator 66 1/2 - 43=
zhuklara [117]

Answer:

\frac{47}{2}

Step-by-step explanation:

66\frac{1}{2} - 43 = 47/2

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3 years ago
Read 2 more answers
Linear equation: -1
Anika [276]

Answer:

The right answer is:

the addition property of equality and then the division property of equality

Step-by-step explanation:

Given equation and steps to solve it are:

Step 1: –3x – 5 = 13

Step 2: –3x = 18

Step 3: x = –6

In step two, -5 has to be removed from left hand side of the equation so additional property of equality will be used i.e. adding 5 on both sides

Similarly in the third step, to remove -3 with x , division property of equality will be used i.e. dividing both sides by -3

Hence,

The right answer is:

the addition property of equality and then the division property of equality

6 0
3 years ago
Read 2 more answers
6x + 5y = 147<br> 8x + 4y = 156
satela [25.4K]

Answer:

[12, 15]

Step-by-step explanation:

{6x + 5y = 147

{8x + 4y = 156

-¾[8x + 4y = 156]

{6x + 5y = 147

{-6x - 3y = -117 ← New Equation

________________

2y = 30

___ ___

2 2

y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x

So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all <em>x-terms</em><em>.</em><em> </em>It does not matter which variable you choose to eliminate, as long as you know what you are doing.

I am joyous to assist you anytime.

3 0
3 years ago
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