One chicken needs 1/3 cups of chicken. If Ryan makes 7 quesadillas, how many cups of chicken does he need?

Jon recently drove to visit his parents who live 280 miles away. On his way there his average speed was 9 miles per hour faster

Luba_88 [7]

Answer:

11 mph and 20 mph

Step-by-step explanation:

Represent his average speed going by r1 and his average speed returning by r2. We know that r1 = r2 + 9.

Recall that distance = rate times time, so time = distance / rate.

Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

Time spend returning was (280 mi) / r2.

The total time was 14 hrs, so (280 mi) / (r2 + 9 mph) + (280 mi) / r2 = 14 hrs

Note that there is only one variable here: r2. Find r2, and then from r2, find r1:

Dividing all 3 terms by 14 hrs yields:

20 20

---------- + ----------- = 1

r2 + 9 r2

The LCD here is r2(r2 + 9). Thus, we have:

20r2 (r2 + 9)(r2)

------------------- = 1 or ------------------

(r2 + 9)(r2) (r2 + 9)(r2)

Then 20(r2) = (r2)^2 + 9(r2). This is reducible by dividing all terms by r2:

20 = r2 + 9, or 11 = r2. Then r1 = 11 + 9, or 20.

The two rates were 11 mph and 20 mph.

8 0

3 years ago

There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop

Delvig [45]

Answer:

$\frac{11}{87}$

Step-by-step explanation:

Total number of people = 130

Number of people who use the gym = 73

Number of people who use the pool = 62

Number of people who use the track = 58

Number of people who use the gym and the pool = 22

Number of people who use the pool and the track = 29

Number of people who use the gym and the track = 25

Number of people who use all three facilities = 11

Total number of people who use at least two facilities = 22 + 29 + 25 + 11 = 87

The probability that the randomly selected person uses all three facilities = number of those who use all three facilities ÷ total number of people who use at least two facilities.

==> 11 ÷ 87

==> $\frac{11}{87}$

3 0

3 years ago

What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?

tia_tia [17]

The answer is (5, -4).

4 0

3 years ago

Brandy got to compete in the bonus round of a game show, scoring 523 points on the literature questions and 639 points on the au

irinina [24]

Brandy got 1162 scoring for competing in the bonus round of the particular game show.

Step-by-step explanation:

By getting the 523 scores in the literature questions sections a 639 point in the automobile section. next could be the bonus round.
So the score she obtained so far to compete in the bonus round is found by the addition of the two scores.
The addition of 523 and 639 gives us 1162 which is the score for entering the bonus round.

8 0

3 years ago

PLEASE I NEED HELP!!!!!!!!

leonid [27]

Use distributive property in order to find the equivalent pieces of oi

5 0

3 years ago