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skad [1K]
3 years ago
14

Simplify. Question is in the picture.

Mathematics
1 answer:
kirill [66]3 years ago
3 0

Since 8 × 8 = 64, the square root of 64 is 8

8 - √144

Since 12 × 12 = 144, the square root of 144 is 12

8 - 12

Now simplify

<u>-4</u>

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A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5      1/8
gayaneshka [121]
Let x be the number of hours that the waitress works in the evening.

We know for our problem that she works 5 \frac{1}{8} in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span>x=5 \frac{1}{8} -1.75
<span>Since </span>\frac{1}{8} =0.125, we can rewrite our expression:
x=5.125-1.75
x=3.375

We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction: 3 \frac{3}{8} hours.
3 0
3 years ago
A rectangle is 3 times as long as it is wide. if the area is 27 square feet, find its perimeter.
Marat540 [252]
W - a width
3w - a length
27 ft² - an area

Therefore:

w · 3w = 27
3w² = 27    |:3
w² = 9 → w = √9 → w = 3

3w = 3 · 3 = 9

width = 3
length = 9

The perimeter:

P = 2 · width + 2 · length

P = 2 · 3 + 2 · 9 = 6 + 18 = 24 ft.
3 0
3 years ago
The perimeter of a rectangular garden is 40 it. The length is 2 ft more than the width. Find the length and the width of the gar
alexgriva [62]

Answer: Length = 11

              Width = 9

Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

The perimeter is equal to 2 times x + (x -2)

Equation:

2 (x + (x - 2)) = 40

x + (x - 2) = 40/2

x + x - 2 = 20

2x - 2 = 20

2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

The width is: x - 2 = 9

5 0
2 years ago
Divide £12 between mick and sharon in the ratio 2:4
antiseptic1488 [7]

Answer:mick share is £4 while Sharon share is £8

Step-by-step explanation:

Money to be shared=£12

Mick : sharon=2:4

Sum of ratio=2+4=6

Mick share=2/6 x 12

Mick share=(2x12)/6

Mick share=24/6

Mick share=4

Sharon share=4/6 x 12

Sharon share=(4x12)/6

Sharon share=48/6

Sharon share=48/6

Sharon share=8

6 0
3 years ago
I need help am I doing this right
disa [49]
No, you got the inequalities the wrong way.
In negative numbers, it is how much lower it is than 0. For example, -22 is 22 less than 0. And -2 is 2 less than 0. Here, -22 is actually less than -2 because it is farther below 0 than -2.
You can understand this better if you graph it on a number line.
So, -12 >-15. (-15 is 3 less than -12).
-1/3 >-1.
-2>-21.
8 0
3 years ago
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