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madreJ [45]
3 years ago
7

Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sente

nces, describe to Mike how to solve this equation. (10 points)
Mathematics
2 answers:
nasty-shy [4]3 years ago
7 0
If 37x =12, then 37 of x is 12. To find that out, first divide, 12/37 is 0.3243243243, so x is 0.3243243243.

Andreyy893 years ago
4 0

Answer:

x=0.6882

In order to solve this problem, we must use logs, from either base.

We must first take the log of both sides, which will give us log 37^x=log 12. Then we have to multiply x by log(37), due to the power rule of logs, so we will now have x times log(37)=log (12). Afterwards, we have to divide both sides by log (37), so the equation will become x=log (12) / log (37) --> x=1.079/1.568, and our final simplifed answer will be 0.6882. We can then simply input the value of x into the original equation to check, and then we will know it is the correct answer.

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A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in sect
Novay_Z [31]

Answers:

section A = 25,000 seats

section B = 14,200 seats

section C = 10,800 seats

Your teacher may want you to leave out the commas from each number.

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

Work Shown:

  • A = number of seats in section A
  • B = number of seats in section B
  • C = number of seats in section C

A = B+C

A+B+C = 50,000

B+C+B+C = 50,000

2(B+C) = 50,000

B+C = 50,000/2

B+C = 25,000

C = 25,000 - B

25A + 20B + 15C = 1,071,000

25(B+C) + 20B + 15C = 1,071,000

25(25,000) + 20B + 15(25,000 - B) = 1,071,000

625,000 + 20B + 375,000 - 15B = 1,071,000

1,000,000 + 5B = 1,071,000

5B = 1,071,000 - 1,000,000

5B = 71,000

B = (71,000)/5

B = 14,200 is the number of seats in section B

C = 25,000 - B

C = 25,000 - 14,200

C = 10,800 is the number of seats in section C

A = B+C

A = 14,200 + 10,800

A = 25,000 is the number of seats in section A

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

Check:

A+B+C = 25,000+14,200+10,800 = 50,000

5 0
2 years ago
Which fraction is greater 4/6 or 5/100
Lina20 [59]

Answer:

4/6 is the greater of the two.

Step-by-step explanation:

4/6 = 200/300

5/100 = 15/300

200/300 is visibly clear to be larger than 15/300.

8 0
3 years ago
Translate the Verbal phrase into a Math Expression: Four more than twice a number
alukav5142 [94]

Answer:

2x+4 or 4+2x

Step-by-step explanation:

3 0
3 years ago
Can somebody please answer this question?
Trava [24]

Answer:

do u need to solve for x or for y ?

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Write the number as an improperios fraction, 10 3/4
trapecia [35]
10 3/4

10 x 4 = 40
40 + 3 = 43

43/4 is your answer

Hope this helps
3 0
3 years ago
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