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kvv77 [185]
3 years ago
11

a company uses two vans to transport workers from a free parking lot to the workplace between 7 and 9 a.m. One can has 14 more s

eats than the other. the small van makes two trips every morning while the larger one only makes one trip. the two vans can transport 65 people, at maximum.
Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0
Y = x + 14     (the larger bus has 14 more seats)
2x + y = 65       ( 2 x two times the seats , as it makes 2 trips the smaller van so the seats will be full twice maximum)

2x + x + 14 = 65   (sub the value of y = x+14 in the second equation)

3x = 51
x = 17 seat (smaller)
y = 31 seat (larger)
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The diameter of a wheel of a lorry is 150cm. If the lorry travels 376.8m, how many times does the wheel rotate?
tresset_1 [31]
<h3>Answer:  79 full rotations</h3>

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Explanation:

150 cm = 150/100 = 1.5 m

The wheel has a diameter of 1.5 meters

The circumference of the wheel is

C = pi*d

C = pi*1.5

C = 1.5pi

C = 4.71238898038469

I'm using my calculator's stored version of pi to get the most accuracy.

Then we divide the 376.8 over the circumference found

(376.8)/(4.71238898038469) = 79.9594434093682

Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.

Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.

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2 years ago
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7 0
3 years ago
The best player on a basketball team makes 85% of all free throws. The second-best player makes
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Answer:

i. Estimated number of free throws of the best player = 0.85 * 40

ii. 34 free throws

Step-by-step explanation:

Percentage of free throws made by the best player = 85%

Percentage of free throws made by the second best player = 75%

Percentage of free throws made by the third best player = 70%

Therefore, for 40 attempts;

i. Estimated number of free throws made by the best player = 85% x 40

                                                         = 0.85 x 40

                                                         = 34

ii. Estimated number of free throws made by the second best player = 75%x 40

                                                                 = 0.75 x 40

                                                                 = 30

iii. Estimated number of free throws made by the third best player = 70% x 40

                                                                   = 0.70 x 40

                                                                   = 28

Thus, the equation that gives the estimated number of free throws is 0.85 * 40.

The best player will make about 34 free throws.

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6 0
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