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3 years ago

Solve the inequality -17 < 3x + 4 ≤ 19

Mathematics

1 answer:

GrogVix [38]3 years ago

7 0

Subtract 4 from -17, from 3x+4, and from 19:

-21 < 3x < 15

Divide all terms by 3:

-7 < x < 5 (solution)

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2 years ago

Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in

Thepotemich [5.8K]

Answer:

34 mph.

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.

Now we will use formula $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ . Upon using our given information we will get two equation and two unknowns as:

$x+16=\frac{420-y}{5}...(1)$

$x=\frac{y}{5}...(2)$

Upon substituting $x=\frac{y}{5}$ in 1st equation we will get,

$\frac{y}{5}+16=\frac{420-y}{5}$

Upon multiplying both sides of our equation by 5 we will get,

$5(\frac{y}{5}+16)=420-y$

$5\times\frac{y}{5}+5\times 16=420-y$

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$y+80+y=420-y+y$

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$2y=420-80$

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Upon substituting y=170 in 2nd equation we will get,

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Therefore, Charlene's speed is 34 miles per hour.

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3 years ago

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Step-by-step explanation:

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Step-by-step explanation:

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