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Alex73 [517]
3 years ago
5

Combine like terms. 31y + 17y = __

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

  48y

Step-by-step explanation:

Use the distributive property:

  31y +17y = (31 +17)y = 48y

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Find the value of x in the triangle.<br> to<br> to
gizmo_the_mogwai [7]

Answer:

45 and 45

Step-by-step explanation:

4 0
3 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.

============================================================

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.

-----------------------------

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
Solve for the missing variables, I know they add up to 360 but where do i start?
iren2701 [21]

Answer:

Step-by-step explanation:

a°=180°-36°=144° b°=180°-113°=67°

a°=144° and b°=67°

144+67=211

36+113=149

149+211=360

3 0
11 months ago
In the graph of an inequality, the region to the right of a dashed vertical line
lara31 [8.8K]

Answer:

x is greater than -4

Step-by-step explanation:

8 0
2 years ago
By the distributive law 49×17+49×3​
Harman [31]
Answer:


Explanation:
(49 x 17) + (49 x 3)
833 + 147 = 980
7 0
2 years ago
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