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Semenov [28]
2 years ago
12

Bobby can run a mile in 7 minutes. Use the ratio table to help determine how

Mathematics
2 answers:
meriva2 years ago
7 0

Answer:

4 miles

Step-by-step explanation:

In 7 minutes he runs 1 mile

So in 28 minutes he runs 4 miles

<u>How did I get this answer?</u>

7×4=28

So 1×4=4

In ratios, when you times anything by something, you must do the same to the other part of the ratio.

abruzzese [7]2 years ago
6 0

Answer:

Hello there! The answer to this problem is that Bobby can run 4 miles in 28 minutes. If Bobby runs 1 mile in 7 minutes, we will have a table with two columns. On the left, we will have the number of miles, and on the right we will have the number of minutes.

miles - minutes

1 - 7

2 - 14

3 - 21

4 - 28

As the number of miles increases by 1, the number of minutes increases by 7. This is a ratio of 1:7. If it takes Bobby 7 minutes to run a mile, it makes sense that it will take him 28 minutes to run 4 miles because 28/7 = 4.

Hope this helps! Have a great day - Mani :)

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Olegator [25]

Answer: the first option is the correct answer.

Step-by-step explanation:

Let x represent the number of necklaces that he makes in a year.

Profit = Revenue - cost

The cost of making each necklace is $5. In making necklaces in a year, the fixed cost is $5000. This means that the total cost of making x necklaces in a year is

5x + 5000

Sam sells each necklace for $10 each. This means that the total amount made from selling x necklaces is $10x.

For Sam to make profit of $1000 in a year, the number of necklaces that she must sell would be

1000 = 10x - (5x + 5000)

1000 = 10x - 5x - 5000

10x - 5x = 1000 + 5000

5x = 6000

x = 6000/5

x = 1200

7 0
3 years ago
Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor
Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

<u>Solution:</u>

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is \frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }

If they work together they can do the entire prospectus in five hours

\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}

On cross-multiplication we get,

\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}

\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}

On cross multiplication ,we get

\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}

<em><u>using quadratic formula:-</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

x=\frac{12 \pm \sqrt{144-40}}{2}

\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0
3 years ago
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mixas84 [53]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
1 4 6 60 7 9 10TIME REMAIN41:42For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If
Alex777 [14]
Well, if Sameer's plum was 32 calories, and we know his total snack was 56 calories, all we have to do is:

56-32=24

24 / 4 = 6

Sameer ate one plum (32Kcal) and 6 strawberries (4Kcal each)


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zlopas [31]

Answer:

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Step-by-step explanation:

Since it is a square we are finding the area of, we are multiplying two numbers. Which means 1/3 by the power of 2.

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