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gladu [14]
3 years ago
6

Time for reading solving inequalities with decimals

Mathematics
1 answer:
PolarNik [594]3 years ago
6 0
<span><span>The velocity of an object fired directly upward is given by <span>V = 80 – 32t</span><span>, where </span>t<span> is in seconds. 

When will the velocity be between </span>32<span>and </span>64<span> feet per second?</span></span><span>I will set up the compound inequality, and then solve for </span>t:</span><span><span>    32 < 80 – 32t < 64</span> <span>
    32 – 80 < 80 – 80 – 32t < 64 – 80</span> <span>
    –48 < –32t < –16</span><span>    –48 /<span> –32</span></span><span>  >  </span><span><span>–32t</span> /<span> –32</span>  </span><span>>  </span><span>–16 /<span> –32</span></span><span>    1.5 > t > 0.5</span></span>
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The ratio of the length to the width of a rectangle is 5:4. The length of the rectangle is 60 inches. What is the width?
Firlakuza [10]

\huge\boxed{\text{48 inches}}

We know that \frac{\text{length}}{\text{width}} = \frac{60}{\text{width}} = \frac{5}{4}.

Solve using cross multiplication of the last two fractions. I will use w to represent the width of the rectangle. 60*4=w*5

Multiply. 240=5w

Divide both sides of the equation by 5. \boxed{48}=w

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What is 848 -662 rounded the nearest hundred estimated
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Answer: 200

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4) Students surveyed boys and girls separately to determine which sport they enjoyed watching the most. After completing the boy
Nastasia [14]

Answer:

I used a little bit of the question  i am on Right Now but the answer is in there somewhere

Step-by-step explanation:

ratio for boys:     3 soccer/5 basketball

ratio for girls:      7 soccer/1 basketball   (I think you have a typo when you say "...number of boys who enjoyed basketball

of 7:1" because boys and girls were surveyed separately.)

that said...

90 boys enjoy soccer

3*30/5*30=90 boys enjoy soccer/150 boys enjoy basketball

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7/1 is the ratio for girls

7+1=8, 240/8=30

7*30/1*30=210 girls enjoy soccer/30 girls enjoy basketball  (210+30=240)

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