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Ket [755]
3 years ago
6

A roller coaster can take 162 passengers around the track in nine minutes. The roller coaster operates at a constant rate.

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

<u>18</u> passengers the roller coaster can take around the track per minute.

Step-by-step explanation:

Given:

A roller coaster can take 162 passengers around the track in nine minutes. The roller coaster operates at a constant rate.

Now, to find the number of passengers roller coaster take around the track per minute.

As given in 9 minutes the roller coaster track 162 passengers.

So, we solve by using unitary method:

In 9 minutes the roller coaster take passengers = 162.

Thus, in 1 minute it can take =162\div 9 = 18.

Therefore, 18 passengers the roller coaster can take around the track per minute.

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Two baskets contain white balls and yellow balls. the first basket contains 2 white balls and 7 yellow balls and the second bask
Kipish [7]
The probability of the ball being white in the first basket is: 2/9

The probability of the ball being white in the second basket is: 3/13

Work:

First off, in basket 1, there are 9 balls in all, 2 of which are white, 7 of which are yellow. So, to find your denominator (If doing this in fraction form), you add up the number of balls. In this case, the first basket has 2 white balls and 7 yellows balls, so 2 + 7 = 9. To find your numerator (Which is the specified color ball probability), you just simply choose the number of balls it is asking for. In this question, it is asking for the probability of white balls in each basket. In basket one, there are 2 out of 11 balls in total. So, your answer would be that there are 2/11 white balls in basket 1.

I am not going to say this same process for the 2nd basket because it takes some time, but I hope this helps! :)
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3 years ago
The height in feet of a water rocket launched from the ground is given by the function h(t) = -16t^2 + 96t where t represents th
Mazyrski [523]
<span>The biggest height is 144 ft at t = 3 seconds.</span>
7 0
3 years ago
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This is a polygon. I can’t find the missing angle ?
siniylev [52]
This is a lot of calculation.

So we know that the sum of angles for any heptagon is 900, because heptagon can be divided into five non-overlapping triangles and sum of angles of each triangle is 180.

Now you just add up all angles and simplify the equation:

900 = (6x - 8) + 120 + (7x - 64) + (5x - 4) + 135 + (3x + 31) + (4x + 15)

900 = <span>25x + 225

Now it's just regular algebra equation. You can solve for x:

675 = 25x

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3 0
3 years ago
6. m A = 8x - 2, m B = 2x - 8, and m2 C = 94 - 4x. List the sides of A ABC in order from shortest to
Oduvanchick [21]

Given:

In triangle ABC, m∠A=(8x-2)°, m∠B=(2x-8)° and m∠C=(94-4x)°.

To find:

The sides of the triangle ABC in order from shortest to  longest.

Solution:

In triangle ABC,

m\angle A+m\angle B+m\angle C=180^\circ              (Angle sum property)

(8x-2)^\circ+(2x-8)^\circ+(94-4x)^\circ=180^\circ

(6x+84)^\circ=180^\circ

6x+84=180

6x=180-84

6x=96

Divide both sides by 6.

x=\dfrac{96}{6}

x=16

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And,

m\angle C=(94-4(16))^\circ

m\angle C=(94-64)^\circ

m\angle C=30^\circ

In a triangle the smaller angle has shorter opposite side and larger angle has longer opposite side.

24^\circ

m\angle B

AC

List the sides of triangle ABC in order from shortest to  longest is AC:AB:BC.

Therefore, the correct option is A.

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3 years ago
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Artemon [7]
It is (3,3) because P will become A after the rotation which is answer C.
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4 years ago
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