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RoseWind [281]
2 years ago
14

Is this statement true or false 8/15 < 3/5

Mathematics
2 answers:
gayaneshka [121]2 years ago
7 0
TRUE because 8/15 = 0.53 which is less than 3/5 = 0.60
nikitadnepr [17]2 years ago
3 0

Answer:

True

Step-by-step explanation:

To get common denominators, you must multiply 3/5 by 3

3*3=9

9/15>8/15 (meaning 3/5 is greater than 8/15)

Hope this helps! :)

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What is 9 1/2 - 5 7/12 =​
Soloha48 [4]

Answer:

47/12, or 3 11/12

Step-by-step explanation:

9 1/2 - 5 7/12 > convert to improper fractions

19/2 - 67/12

make same denominator (12)

19/2 * 6 = 114/12

114/12 - 67/12 = 47/12

7 0
2 years ago
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Identify the scale factor <br> Photograph: height 3 in. <br> Painting: height 24 in.
Finger [1]

Answer:

8

Step-by-step explanation:

The new height is 24

The original height is 3

24/3 is 8

The scale factor is 8

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3 years ago
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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
2 years ago
4x+11&lt;23 solve for x
jarptica [38.1K]
Let's solve your inequality step-by-step.
<span><span><span>4x</span>+11</span><23
</span>Step 1: Subtract 11 from both sides.
<span><span><span><span>4x</span>+11</span>−11</span><<span>23−11</span></span><span><span>4x</span><12
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8 0
3 years ago
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