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grin007 [14]
3 years ago
14

What is the difference between 4 5/7 and 1 3/4?

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:

The difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28

Step-by-step explanation:

First, to make it easier to subtract, let's change these numbers to improper fractions.

4 5/7 = 33/7

1 3/4 = 7/4

Now, we have to find the LCM (least common multiple) between 4 and 7.

4- 4, 8, 12, 16, 20, 24, 28, 32

7- 7, 14, 21, 28, 35, 42, 49

As you can see, the LCM is 28. So, lets change these fractions to have a denominator of 28.

33*4/ 7*4 = 132/ 28

7*7/ 4*7 = 49/ 28

>>132 - 49 = 83

So, the difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28

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Use the triangle shown to find m∠Q and m∠S.
Elodia [21]
<h2><u>Hope this helps :)</u></h2>

Step-by-step Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a .

So, measure of the other angle is 2a .

If the sum of the measures of two angles is 180° , then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a , divide both sides of the equation by 3 .

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120° .

Step-by-step Example 2:

Find m∠P  and  m∠Q if ∠P  and  ∠Q are supplementary, m∠P=2x+15 , and m∠Q=5x−38 .

The sum of the measures of two supplementary angles is 180° .

So, m∠P+m∠Q=180°

Substitute 2x+15 for m∠P and 5x−38 for m∠Q .

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23 to both the sides. We get:

7x=203°

Divide both the sides by 7 .

7x7=203°7

Simplify.

x=29°

To find m∠P , substitute 29 for x in 2x+15 .

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73° .

To find m∠Q , substitute 29 for x in 5x−38 .

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107° .

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A sphere and a cone have the same volume and each has a radius of 6 centimeters. What is the height of the cone
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Answer:

Step-by-step explanation:

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3 years ago
What is the probability that a 60% free throw shooter will make three free throws in a row?
sdas [7]

.6 * .6 * .6

.6^3

.216

Answer

.216

or

21.6%

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3 years ago
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The length of a rectangle is (2x+5) units and the breadth is (3x-1) units .Find the perimeter and the area of the rectangle.
jolli1 [7]

Answer:

Perimeter =  10x + 8 units.

Area = 6x^2 + 13x - 5 units^2.

Step-by-step explanation:

The perimeter  is 2*length + 2*breadth

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= 4x + 10 + 6x - 2

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The area = length * breadth

= (2x + 5)(3x - 1)

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Step-by-step explanation:

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