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KIM [24]
3 years ago
7

Use substitution to solve the following system of equations. What is the value of y?

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

3x+4y=36

2x-y=2

<em><u> </u></em><em><u>=</u></em><em><u>x-7y</u></em><em><u>=</u></em><em><u>3</u></em><em><u>4</u></em>

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Make an input-output table for the function y = 2x - 2 with the domain {1,2,3}.
ki77a [65]
Top boxes:   | X  |   1   |   2   |   3   |
bottom boxes:   |   Y=2X - 2   |   0   |   2   |   4   |
  
4 0
3 years ago
Read 2 more answers
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
3 years ago
Given that p = 3, q= 5 and r= 7, work out the value of 2pqr.
mario62 [17]

Answer:

2pqr =2 (3)(5)(7) = 210

3 0
2 years ago
Read 2 more answers
Mark spins a penny 100 times and it lands head side up 41 times. Explain why Mark's experimental probability may be different fr
astra-53 [7]

Answer:

Hey there!

This is because the theoretical probability is different from the experimental probability. The theoretical probability is what is expected, but the experimental probability is what actually happens.

Hope this helps :)

4 0
3 years ago
Read 2 more answers
Juan received scores of 82, 76, 93, and 80 on his first four chemistry tests of the year. His goal is to have an 86 average in c
SCORPION-xisa [38]

Answer:

99 marks

Step-by-step explanation:

Given:

Juan received scores of 82, 76, 93, and 80 on his first four chemistry tests.

His goal is to have an 86 average in chemistry for his first five tests.

Question asked:

What score must he earn on the next test to achieve an average of exactly 86?

Solution:

Let score he must earn on the fifth test = x

As we know:

Scores in five test = 82, 76, 93, 80, x

Total number of test = 5

<u>We can find the score of fifth test, he must earn to achieve an average of exactly 86 by using this formula:</u>

Average =\frac{Sum\ of\ all\ observations}{Total\ observation}

86=\frac{82+76+93+80+x}{5}\\\\ 86=\frac{331+x}{5}

By cross multiplication

331+x=86\times5\\331+x=430

Subtracting both sides by 331

x=99

Therefore, he must earn 99 marks to achieve an average of exactly 86 for his first five tests in chemistry.

6 0
2 years ago
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