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2 years ago

If x - 15 = 30, what is the value of 2(x + 5)?

Mathematics

1 answer:

patriot [66]2 years ago

5 0

Answer:

100

Step-by-step explanation:

When ...

x -15 = 30

we can find the value of x by adding 15 to both sides of the equation:

x = 45

To find the value of 2(x +5), we can substitute 45 for x:

2(x +5) = 2(45 +5) = 2(50)

2(x +5) = 100

_____

Alternate solution

Adding 20 to both sides of the first equation gives the value of x+5.

(x -15) +20 = (30) +20

x +5 = 50

The second expression is double this value:

2(x +5) = 2(50) = 100

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The table below shows the total cost (TC) and marginal cost (MC) for Choco Lovers, a monopolistic firm producing different quant

goblinko [34]

Answer:

Spreadsheet values

B3 = $15 (shown)
C4 = $420 (shown)
D6 = $272.5
E4 = $6
F2 = $16
F6 = $5

Other values

profit maximizing Q: 35
profit maximizing P: $13
maximum profit: $227.5

Step-by-step explanation:

Labeling the columns of the spreadsheet A--F, and the rows 1--7, we want to find the values as follows.

a) The relationship between quantity, price, and revenue is ...

total revenue = quantity × price

price = (total revenue)/quantity

Then ...

B3 = 375/25 = 15 (as shown)
C4 = 30×14 = 420 (as shown)

b) The relationship between total cost and marginal cost is ...

mc2 = (tc2 -tc1)/(q2 -q1)

tc2 = (mc2)(q2 -q1) +tc1

Then ...

D6 = 9(40 -35) +227.5 = 272.5
E4 = (192.5 -162.5)/(30 -25) = 6

c) Marginal revenue is figured the same way as marginal cost.

mr2 = (r2 -r1)/(q2 -q1)

Then ...

F2 = (320 -0)/(20 -0) = 16
F6 = (480 -455)/(40 -35) = 5

d) The quantity maximizing profit will be the quantity such that marginal revenue is equal to marginal cost. That is, marginal profit is zero. That quantity is 35, where both marginal cost and marginal revenue are 7.

e) The price at a quantity of 35 is 13. This value is read from the given table.

f) The maximum profit is the difference between revenue and cost at the profit-maximizing quantity:

maximum profit = 455 -227.5 = 227.5

4 0

3 years ago

Please help me solve this: 6 1/3 + k + 3 5/6 + 5 1/2 = 26 1/6

attashe74 [19]

6 1/3 + k + 3 5/6 + 5 1/2 = 26 1/6
Add your fractions
6 1/3 + 3 5/6 + 5 1/2 = 15 2/3
now You need to isolate k on one side of the equation by using the subtraction method of equality.
k + 15 2/3 = 26 1/6
k = 10 1/2

Hope this helps

I had to edit

5 0

4 years ago

Read 2 more answers

Solve: 2/x + 3/2x - 1/2 = 2/3

polet [3.4K]

Answer:

Step-by-step explanation:

$\frac{2}{x}+\frac{3}{2x}-\frac{1}{2}=\frac{2}{3}\\multiply ~by~6x\\12+9-3x=4x\\21=4x+3x\\7x=21\\x=21/7=3$