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malfutka [58]
3 years ago
9

Q is the midpoint of PR. PQ equals 6X -7 and QR equals 5X plus one. Final length of PR.

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0

Answer:

PR = 82

Step-by-step explanation:

Since Q is the midpoint of PR, then

PQ = QR, that is

6x - 7 = 5x + 1 ( subtract 5x from both sides )

x - 7 = 1 ( add 7 to both sides )

x = 8

Thus

PR = PQ + QR = 6x - 7 + 5x + 1 = 11x - 6

Hence

PR = 11(8) - 6 = 88 - 6 = 82

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Answer:16

Step-by-step explanation:

Let the number be X

Twice the sum of a number and 5

= 2X+5

Three times the difference of the number and 2

= 3(X - 2)

Since Twice the sum of X and 5 is equal to three times the difference of the X and 2, This means

2(X + 5 )= 3(X - 2)

2X +10 = 3X - 6

3X -2X = 10 + 6 = 16

X = 16

Check

2×(16+5) =3×(16-2)

2×21 = 3×14

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Answer:

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Step-by-step explanation:

7 0
3 years ago
The value of Peter's house has risen 20% a year for the last 3 years. If the value of Peter's home 3 years ago was $110,000.00,
IRISSAK [1]
Increase $110,000 by 20% 3 times.

110,000 x 0.2 = 22000
(0.2 is 20% as a decimal, we needed to convert it to multiply it)

So we must add 22000 to 110,000, then take 20% of the new cost, and repeat.

Add them
110,000 + 22000 = 132000

Take 20% of new value
132000 x 0.2 = 26400

Add that
132000 + 26400 = 158400

Take another 20% of that
31680

Add them
158400 + 31680 = 190080

So the value is now $190,080

A much more efficient way to do this would be multiplying 1.2 instead of 0.2, and skipping the adding part, as you already took 100% of it and are adding 20% more.

Hope this helps!
4 0
3 years ago
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svetoff [14.1K]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Assume the selling price of your house calculate the
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Answer:

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Step-by-step explanation:

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Commission = 5% of $280,000

Hence,

Commission = 0.05 * $280,000

Commission = $14,000

4 0
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