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ki77a [65]
2 years ago
7

twice the sum of a number and 6 is equal to 3 times the difference of the number and 8. Find the number

Mathematics
1 answer:
Serhud [2]2 years ago
5 0

In order to solve this problem, we must solve an equation.

First, we need to define our unknown.

Let's call our number "n".


So, the sum of the number and 6 is the same as saying n+6

Then we need to multiply it by 2 (since it's twice the sum)

2(n+6)

This whole thing is equal to three times of the difference of the number and 8

n-8 is equal to the difference between the number and 8, then we need to multiply it by three.

3(n-8)

now, we set both sides equal and solve

2(n+6)=3(n-8)\\2n+12=3(n-8)\\2n+12=3n-24\\12=n-24\\36=n

The number is 36

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Answer:

You will save $24.50

Step-by-step explanation:

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3 years ago
A theater has 60 seats on the front row. There are seven additional seats in each following row.
maksim [4K]

Answer:

(a) y(x)=53+7x

(b) 179

Step-by-step explanation:

Since the first row has 60 seats and next row has 7 additional seats then we can represent it as

First row=60

Second row=60+7=67

Third row=67+7=74

The difference is always 7. If you deduct 7 from dirst row we get 60-7=53 seats

To get rhe number of seats in any row x then let y be the number of seats in row x

y=53+7(x)

For raw 1

Y=53+7(1)=60

For raw 2

Y=53+7(2)=67

Therefore, the formula for number of seats at any row will be

y(x)=53+7(x)

(b)

Using the above formula

y(x)=53+7(x)

Replace x with 18 hence

Y(18)=53+7*(18)=179 seats

5 0
3 years ago
When Jack started his job working for an industrial manufacturing company, he contributed $100
Anestetic [448]

Answer:

Problem 4 If the point (2, 2) is in the feasible set and the vertices of the feasible sct are (0,0), (0, 12). (6,18). (14, 16), and (18, 0), then determine the system of linear inequalities that created the feasible set. Show all the work that led you to you answer. (10 points) Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the year, Jack was laid off. To help mect family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years (after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)

Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the 8th year, Jack was laid off. To help meet family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)

4 0
3 years ago
V(t)=26,000(0.90^t) find the initial value and the value after 11 years
Damm [24]
Well you're given the equation and the time.

substitute:

V(t) = 26,000(0.90^t)
V(11) = 26,000(0.90^(11))
V(11) = 8,159.075498
V(11) ≈ 8,159
5 0
3 years ago
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