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mixer [17]
3 years ago
6

Each person at a picnic chose atleast one piece of a fruit one third of the people chose an apple three -quaters of the people c

hose a orange what fraction of the people chose both of them
Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

Answer:

-1/12x

Step-by-step explanation:

Let total people at the picnic=x

People who chose apple= 1/3x

People who chose orange= 3/4x

People who chose each of the fruit= People who chose apple + People who chose orange

=1/3x + 3/4x

= 4x+9x / 12

=13/12x

People who chose each of the fruit= 13/12x

what fraction of the people chose both of them?

Fraction of the people who chose both fruits= Total people at the picnic - People who chose each of the fruit

=x - 13/12x

=12x- 13x /12

= -1/12 x

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Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

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Where, l is length, b is breadth and h is height of the cuboid.

Putting SA=204.25,  l=10,\ b=x,\ h=6.5 in the above formula, we get

204.25=2(10\times x+x\times 6.5+6.5\times 10)

204.25=2(10x+6.5x+65)

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Using distributive property, we get

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204.25-130=33x

74.25=33x

Divide both sides by 33.

\dfrac{74.25}{33}=x

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I'll focus on problem 19 and problem 22

============================================================

Problem 19

Answers:

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  • x+15 = 102

-------------------------------

Explanation:

The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.

Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.

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x = 102-15

x = 87

Which leads to

x+15 = 87+15 = 102

============================================================

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Answer: y = 27

-------------------------------

Explanation:

We have a pair of alternate exterior angles. They are congruent due to the parallel lines.

Let's solve for y.

7y-55 = 3y+53

7y - 3y = 53+55

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y = 108/4

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