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luda_lava [24]
1 year ago
15

Multi step equation help 5n - 2 ( 2 -n ) = -7

Mathematics
2 answers:
ELEN [110]1 year ago
8 0

Answer:

  • -3/7

Step-by-step explanation:

5n-2(2-n)= -7\\\\\\5n-4+2n= -7\\\\\\7n=-7+4\\\\\\7n=-3\\\\\\\bold{n=\dfrac{-3}{7}}

____ [38]1 year ago
4 0

∑ Hey, microhiezv ⊃

Answer:

n = -3/7    - Fraction Form

n = -0.43 - Decimal Form

Step-by-step explanation:

<u><em>Given:</em></u>

5n - 2 ( 2 -n ) = -7

<u><em>Solve:</em></u>

5n-2\left(2-n\right)=-7

Distribute -  5n - 2 ( 2 - n ) : 7n - 4

7n-4=-7

Add 4 to both sides:

7n-4+4=-7+4

7n = -3

Divide both sides by 7

\frac{7n}{7}=\frac{-3}{7}

n=-\frac{3}{7}

n=-0.43

<u><em>xcookiex12</em></u>

<em>8/22/2022</em>

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D:  45 and 102 both have a factor of 3.

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Can someone please help me with number 2?I don't know what I did wrong.​
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Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

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

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>
  • When going 70 mph, it takes about 3.08 hours
  • When going 55 mph, it takes about 3.92 hours
6 0
2 years ago
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