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Aleks [24]
3 years ago
6

a bike race is happening at your school, there are 315 people participating. out of the total. 7 have been disqualified for chea

ting, 5 have been hurt and are unable to finish the race, and 13 have quite the race before it was over. what is the percentage of the original people in the race finished?
Mathematics
1 answer:
Damm [24]3 years ago
7 0

9514 1404 393

Answer:

  92%

Step-by-step explanation:

The number who finished was ...

  315 -7 -5 -13 = 290

This number out of 315 is the percentage ...

  290/315 × 100% ≈ 92% . . . finished the race

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Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 220 pounds. He plans to use his utility vehicle
liraira [26]
By the looks of this the answer is E

Derek weighs 155
155+220
8 0
3 years ago
Find x and y in the figure​
Grace [21]

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

5 0
3 years ago
Simplify the equation
Arturiano [62]

Answer:

\dfrac{16x^3-37x^2-16x+37}{x^2+2}

Step-by-step explanation:

There aren't any factors that cancel (except 3x). The best you can do is multiply it out.

\displaystyle\frac{\frac{3x^2-3}{x}}{\frac{3(x^2+2)}{16x^2-37x}}=\frac{3(x^2-1)}{x}\cdot\frac{16x^2-37x}{3(x^2+2)}\\\\=\frac{x(x^2-1)(16x-37)}{x(x^2+2)}=\frac{16x^3-37x^2-16x+37}{x^2+2}

7 0
3 years ago
It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 10 inches wide, and 14 inches tall. How long will it tak
kari74 [83]

Answer:

66 minutes, or 1 hour and 6 minutes.

Step-by-step explanation:

let us first do the rectangular aquarium:

8 x 10 = 80

80 x 14 = 1120

now the second box

23 x 25 = 575

575 x 33 = 18975

we can divide the boxes volume:

18975/575 = 33

so all we have to do is times 33 by 2 which equals:

66 minutes, or 1 hour and 6 minutes.

4 0
2 years ago
Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole n
nikdorinn [45]

Answer:

9 Sides

Step-by-step explanation:

According to the Question,

  • Given That, The sum of the interior angles(s), in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides

Therefore, The sides do a polygon have if the sum of the interior angles is 1,260°.

Put The Values in Formula, we get

1260=180(n−2)

n-2 = 7

n=9 (9 Sides)  

6 0
3 years ago
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