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zalisa [80]
3 years ago
11

-4(5k-7) +2k= -2(9k+5)

Mathematics
1 answer:
Blababa [14]3 years ago
3 0

Answer:

no solutions

Step-by-step explanation:

-4(5k-7) +2k= -2(9k+5)

Distribute

-20k +28 +2k = -18k -10

Combine like terms

-18k +28 = -18k -10

Add 18k to each side

-18k+18k +28 = -18k+18k  -10

28 = -10

This is never true so there are no solutions

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Step-by-step explanation:

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A $22 item has been marked up 15%. What is the new price?
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A woman 5 ft tall walks at the rate of 7.5 ft/sec away from a streetlight that is 10 ft above the ground. At what rate is the ti
lesya [120]
Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
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7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
        = (5/2)
        = 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec. 
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