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4 years ago

A rectangle's perimeter is 92 ft. Its length is 5 ft shorter than two times of its width. Use an equation

Mathematics

1 answer:

Setler79 [48]4 years ago

3 0

2 x ( 2w - 5 ) + 2 x w = 92

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A yogurt costs 55 pence how many yogurts can be bought for 6 pounds?

scoray [572]

1 pound = 100 pence therefore 600 pence
600/55= 10.9
you can buy 10 yogurts and have 50 pence left over.

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3 years ago

Solve square root of x + square root of x+2 = 2

andrew-mc [135]

The value of x is $\frac{1}{4}$

Step-by-step explanation:

Given:

$\sqrt{x} + \sqrt{x + 2} = 2$

Rearranging the radical on left side,

$\sqrt{x + 2} = 2 - \sqrt{x}$

Power on both sides,

$(\sqrt{x + 2})^{2} = (2 - \sqrt{x})^{2}$

Simplifying the left,

$x + 2 = (2 - \sqrt{x} )^{2}$

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

$= > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2}$

Now calculating its powers,

$= > x + 2 = 4 - 4\sqrt{x} + x$

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

$= > 4 \sqrt{x} = 4 + x - x - 2$

Now the +x and -x will be cancelled,

$= > 4 \sqrt{x} = 4 - 2$

$= > 4 \sqrt{x} = 2$

Bringing 4 to the right side, it becomes the denominator,

$= > \sqrt{x} = \frac{2}{4}$

$= > \sqrt{x} = \frac{1}{4}$

Now powering both sides,

$= > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}$

$= > x = \frac{1}{4}$

4 0

3 years ago

Find the least number that must be added to 1400 so as to get a perfect squre. full explanation

Dmitriy789 [7]

Answer:

so what is the next perfect square after 1400? That's what they are asking.. so I used my calculator to find it..

Step-by-step explanation:

the square root of 1400= 37.41..... but since we want a perfect square.. take 38 squared.. which is 1444 so now we know.. to add 44 to 1400 .... that's your answer 44

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3 years ago

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Pls help me. Middle school math

Anton [14]

what happen do you what to tlak

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3 years ago

How do you order two numbers written in scientific notation?

kondor19780726 [428]

This should be the answer to the problem I would explain it in my own words but it would be easier to understand if you saw it from here. I hope this helps!!

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3 years ago