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Illusion [34]
3 years ago
13

2/3x+14-3x>-7

Mathematics
2 answers:
Ray Of Light [21]3 years ago
6 0

Answer:

\large\boxed{x

Step-by-step explanation:

\dfrac{2}{3}x+14-3x>-7\qquad\text{subtract 14 from both sides}\\\\\dfrac{2}{3}x+14-14-3x>-7-14\\\\\dfrac{2}{3}x-3x>-21\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-(3)(3x)>(3)(-21)\\\\2x-9x>-63\\\\-7x>-63\qquad\text{change the signs}\\\\7x

vazorg [7]3 years ago
3 0

Answer:

x < 9

Step-by-step explanation:

\frac{2}{3} x+14-3x>-7

First, write 3 as a fraction:

\frac{2}{3} x+14-\frac{3}{1}x>-7

The common denominator is 3, so:

\frac{2}{3} x+14-\frac{9}{3}x>-7

Combine the fractions:

\frac{2-9}{3} x+14>-7\\-\frac{7}{3} x+14>-7

Subtract 14 from both sides:

-\frac{7}{3} x>-21

Multiply both sides by 3:

-7x>-63

Divide both sides by -7 (don't forget to flip the sign when multiplying or dividing by a negative number):

x

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Mademuasel [1]
Volume of Pyramid = (1/3)*(base area) * height.

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Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
Rashid [163]

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

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This weight has a direction that is vertical, pointing downwards.

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The angle that makes the direction of the weight and this angle, is:

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(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

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This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

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3 years ago
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