pablo drove 240 mies using 9 gallons of gas. At this rate how many gallons of gas would he need to drive 216 miles?

The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that de

kodGreya [7K]

Answer:

x*(x+2)= 63 7 and 9

Step-by-step explanation:

7 0

3 years ago

There were 20 boys and 20 girls in a chorus. What is the ratio of boys to girls

aliya0001 [1]

Answer:

1:1

Step-by-step explanation:

3 0

3 years ago

Duane and mick are saving their money to build a tree house. Duane adds $5 to their piggy bank every other week. Mick adds $2 er

Furkat [3]

10 weeks
Duane adds $5 every other week so that's 5 weeks out of 10. 5 x 5 = 25
Mick adds $2 every week so,
2 x 10 = 20

25 + 20 = 45

8 0

3 years ago

Marcia walked 900 meters on Friday. On Saturday, she walked 4 kilometers, On Sunday, she walked 3 kilometers,600 meters. How man

goblinko [34]

Answer:8.5km

Step-by-step explanation:

5 0

2 years ago

A student committee is to consist of 2 freshmen, 5 sophomores, 4 juniors, and 3 seniors. If 6 freshmen, 13 sophomores, 8 juniors

mezya [45]

<h3>Answer: 491,891,400</h3>

Delete the commas if necessary.

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Explanation:

There are 6 freshmen total and we want to pick 2 of them, where order doesn't matter. The reason it doesn't matter is because each seat on the committee is the same. No member outranks any other. If the positions were labeled "president", "vice president", "secretary", etc, then the order would matter.

Plug n = 6 and r = 2 into the nCr combination formula below

$n C r = \frac{n!}{r!(n-r)!}\\\\6 C 2 = \frac{6!}{2!*(6-2)!}\\\\6 C 2 = \frac{6!}{2!*4!}\\\\6 C 2 = \frac{6*5*4!}{2!*4!}\\\\ 6 C 2 = \frac{6*5}{2!}\\\\ 6 C 2 = \frac{6*5}{2*1}\\\\ 6 C 2 = \frac{30}{2}\\\\ 6 C 2 = 15\\\\$

This tells us there are 15 ways to pick the 2 freshmen from a pool of 6 total.

Repeat those steps for the other grade levels.

n = 13 sophomores, r = 5 selections leads to nCr = 13C5 = 1287. This is the number of ways to pick the sophomores.

You would follow the same type of steps shown above to get 1287. Let me know if you need to see these steps.

Similarly, 8C4 = 70 is the number of ways to pick the juniors.

Lastly, 14C3 = 364 is the number of ways to pick the seniors.

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To recap, we have...

15 ways to pick the freshmen
1287 ways to pick the sophomores
70 ways to pick the juniors
364 ways to pick the seniors

Multiply out those values to get to the final answer.

15*1287*70*364 = 491,891,400

This massive number is a little under 492 million.

7 0

2 years ago