Which ordered pair is a solution of the equation?<br> y=3x+5

How many passengers can the roller coaster take around the track per minute?

Setler79 [48]

Answer:

162 passengers

Step-by-step explanation:

A roller coaster can take 162 passengers around the track in 9 minutes. The roller coaster operates at a constant rate.

5 0

2 years ago

Read 2 more answers

Please help me with this geometry problem

Natalka [10]

You're looking for the volume of the prism. The dead giveaway there is that you're looking for "cubic" measurement. Cubic measures are indicators that the volume is being determined, just like "square feet" or inches, etc indicates area is being determined. The volume for this prism is found by multiplying the length times the width times the height. In decimal form, 45×30×40=54,000. But that is in cubic inches and we want cubic feet. So we will use dimensional analysis to convert that. Setting up the DA looks like this, keeping in mind that there are 12 cubic inches in 1 cubic foot: $54,000in^3* \frac{1ft*1ft*1ft}{12in*12in*12in}$ . The label of cubic inches cancels out leaving us with cubic feet, and doing the division there gives us 54,000/(12*12*12) which is 31.25 cubic feet.

4 0

3 years ago

If (a, -5) is a solution to the equation 3a = -2B - 7, what is a?

Andrew [12]

I think what you need to do is make B = -5
3a = -2(-5) - 7
3a = 10 - 7
3a = 3
a = 1

3 0

3 years ago

A designer creates a model of a building. The model is 63.5 centimeters long. One inch equals 2.54 centimeters.

Yakvenalex [24]

Answer:

25in

Step-by-step explanation:

if the model is 63. 5 cm, and 2.54 cm is equivalent to 1 in

you can do 63.5 / 2.54 to get 25 in

8 0

2 years ago

PLEASE HELP ME WITH THIS!!!!!

nadezda [96]

For the given experiment of spinning a spinner and drawing a card, we will see that:

A) Yes, the events are independent.
B) P(3 and A) = 1/16
C) P(5 and C) = 0
D) P(4) = 1/4
P(B or C) = 1/2
E) P(3 and not D) = 3/16

<h3>What are independent events?</h3>

We say that two events are independent if the outcome of one does not affect the outcome of the other.

In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.

<h3>How to get the probabilities?</h3>

B) First we want to get the probability of getting 3 and A.

The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:

p = 1/4

Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:

q = 2/8 = 1/4

The joint probability is the product of the two individual probabilities, we have:

P(3 and A) = p*q = 1/4*1/4 = 1/16

C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.

D) P(4) is the probability of drawing the card with the number 4, this is:

p = 1/4

P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:

q = (2 + 2)/8 = 1/2

E) P(1 and not D) is equal to: P(1 and A or B or C).

P(1) is 1/4.

P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)

Then the joint probability is:

P(1 and not D) = (1/4)*(6/8) = 3/16

If you want to learn more about probability, you can read:

brainly.com/question/251701

8 0

1 year ago

Which ordered pair is a solution of the equation? y=3x+5