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Solnce55 [7]
3 years ago
13

Solve 1.2(5-x) = 2(1.4x+3)

Mathematics
1 answer:
Arturiano [62]3 years ago
4 0

Answer:

x = 0

Step-by-step explanation:

Solve for x:

1.2 (5 - x) = 2 (1.4 x + 3)

Expand out terms of the left hand side:

6 - 1.2 x = 2 (1.4 x + 3)

Expand out terms of the right hand side:

6 - 1.2 x = 2.8 x + 6

Subtract 2.8 x from both sides:

6 + (-1.2 x - 2.8 x) = (2.8 x - 2.8 x) + 6

-1.2 x - 2.8 x = -4 x:

-4 x + 6 = (2.8 x - 2.8 x) + 6

2.8 x - 2.8 x = 0:

6 - 4 x = 6

Subtract 6 from both sides:

(6 - 6) - 4 x = 6 - 6

6 - 6 = 0:

-4 x = 6 - 6

6 - 6 = 0:

-4 x = 0

Divide both sides of -4 x = 0 by -4:

(-4 x)/(-4) = 0/(-4)

(-4)/(-4) = 1:

x = 0/(-4)

0/(-4) = 0:

Answer:  x = 0

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(7)(8)(9)<br><br> Geometry<br><br> Check Ans<br><br> 7) s = 15<br> 8) y = 64 x = 99<br> 9) 96
Katyanochek1 [597]
Problem 7: Correct
Problem 8: Correct
Problem 9: Correct

The steps are below if you are curious

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

Problem 7

S = 180*(n-2)
2340 = 180*(n-2)
2340/180 = n-2
13 = n-2
n-2 = 13
n = 13+2
n = 15

I'm using n in place of lowercase s, but the idea is the same. If anything, it is better to use n for the number of sides since S already stands for the sum of the interior angles. I'm not sure why your teacher decided to swap things like that.

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

Problem 8

First find y
y+116 = 180
y+116-116 = 180-116
y = 64

which is then used to find x. The quadrilateral angles add up to 180*(n-2) = 180*(4-2) = 360 degrees
Add up the 4 angles, set the sum equal to 360, solve for x

x+y+125+72 = 360
x+64+125+72 = 360 ... substitution (plug in y = 64)
x+261 = 360
x+261-261 = 360-261
x = 99

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

Problem 9

With any polygon, the sum of the exterior angles is always 360 degrees

The first two exterior angles add to 264. The missing exterior angle is x
x+264 = 360
x+264-264 = 360-264
x = 96

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What would be 12.6 - 4.9 as an estimate?
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