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3 years ago

6

Solve the inequality for W: 5W - 23 < - 3 (3 - 4W)

1 answer:

KengaRu [80]3 years ago

4 0

5w−23<−3(3−4w)

Simplify both sides of the inequality.

5w−23<12w−9

Subtract 12w from both sides.

5w−23−12w<12w−9−12w

−7w−23<−9

Add 23 to both sides.

−7w−23+23<−9+23

−7w<14

Divide both sides by -7.

−7w/−7 < 14/−7

w > −2

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Answer:

speed of car A =Speed of car B=0.8 miles/minutes.

Step-by-step explanation:

We are given that speed of car A is equal to speed of car B.

Also let car A travels x miles.

and car B travels y miles.

Car A reaches its destination in 17 minutes.

this means that speed of car A is given by: $\dfrac{x}{17}$ miles/minutes ( since speed is defined as the ratio of distance and time).

Car B reaches its destination in 32 minutes.

This means that the speed of car B is given by: $\dfrac{y}{32}$ miles/minutes

as speed of both cars are equal this means:

$\dfrac{x}{17}=\dfrac{y}{32}$ ------(1)

Also we are given Car B travels 12 miles farther than Car A.

this means $y-x=12$

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on using equation (1) and (2) we have:

$\dfrac{x}{17}=\dfrac{12+x}{32}\\ \\32x=17(12+x)\\\\32x=17\times12+17x\\\\32x-17x=17\times12\\\\15x=122\times17\\\\x=13.6$

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