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kkurt [141]
1 year ago
10

Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52, and then they charge her

$8 per hour. She has $144 available on spend on a car rental. What is the greatest number of hours for which she can rent the car?
A.18 hours
B.12 hours
C.11.5 hours
D.11 hours
Mathematics
1 answer:
Kisachek [45]1 year ago
6 0

C

first set up an equation

$52+8n ≥ 144

bacause she can spend 144 or less

solve 144-52=92

92/8=11.5

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Vadim26 [7]

Answer:

B) 28.53 unit²

Step-by-step explanation:

The diagonal AD divides the quadrilateral in two triangles:

  1. Triangle ABD
  2. Triangle ACD

Area of Quadrilateral will be equal to the sum of Areas of both triangles.

i.e.

Area of ABCD = Area of ABD + Area of ACD

Area of Triangle ABD:

Area of a triangle is given as:

Area = \frac{1}{2} \times base \times height

Base = AB = 2.89

Height = AD = 8.6

Using these values, we get:

Area = \frac{1}{2} \times 2.89 \times 8.6 = 12.43

Thus, Area of Triangle ABD is 12.43 square units

Area of Triangle ACD:

Base = AC = 4.3

Height = CD = 7.58

Using the values in formula of area, we get:

Area = \frac{1}{2} \times 4.3 \times 7.58 = 16.30

Thus, Area of Triangle ACD is 16.30 square units

Area of Quadrilateral ABCD:

The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²

None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²

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zvonat [6]
14C3 = 14! / 11!3! 

<span>= 14 x13 x12 / 3x2x1 </span>
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<span>The first movie can be any of 14 </span>
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<span>As you have already seen two the third movie can be any of the 12 remaining. </span>

<span>Therefore there are 14 x 13 x 12 = 2184 PERMUTATIONS of movies you can see. </span>
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<span>2184 / 6 = 364</span>
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