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nignag [31]
3 years ago
12

Your cousin earned $4.80 last week by recycling an unknown number of cans and 7 plastic bottles. The cans were worth $0.05 each

and the bottles were worth $0.10 each.
Mathematics
2 answers:
vesna_86 [32]3 years ago
8 0

The number of cans recycled will be 82.

<u>Explanation</u>

Lets assume, the number of cans is x

There are 7 plastic bottles. Each can worth $0.05 and each bottle worth $0.10

So, the total earning from the cans =  0.05x dollar

and the total earning from the bottles =  (0.10*7) = 0.70 dollar

As the total earning from cans and bottles is given as $4.80, so...

0.05x+0.70=4.80\\ \\ 0.05x = 4.80-0.70\\ \\ 0.05x= 4.10\\ \\ x= \frac{4.10}{0.05} \\ \\ x= 82

So, the number of cans recycled will be 82.

denpristay [2]3 years ago
7 0
82 cans were recycled
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Find the length of each side of the polygon for the given perimeter.<br> P = 48
Vaselesa [24]

Answer:

The top is 5

The right side is 5

The bottom is 2x = 2*5 = 10

The left is 5-2 = 3

Step-by-step explanation:

The perimeter is the sum of the sides

x+x+ 2x + x-2 = 23

Combine like terms

5x-2 = 23

Add 2 to each side

5x-2+2 = 23+2

5x = 25

Divide each side

5x/5 = 25/5

x = 5

The top is 5

The right side is 5

The bottom is 2x = 2*5 = 10

The left is 5-2 = 3

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3 years ago
Each big square is cut into 3 parts to represent multiplying by one-third. The number of small shaded squares in the circled par
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Answer:the answer is 5/9

Step-by-step explanation:

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3 years ago
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Elena L [17]

Answer:

Top one, least to greatest:

-\sqrt{54}, -\frac{3}{9}, \frac{9}{5}, \pi, 6.6, \sqrt{75}

Bottom one, greatest to least

9.6, \sqrt{34}, \frac{9}{9}, -4.2, -7\frac{2}{5}, -\sqrt{85}

8 0
3 years ago
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Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
AfilCa [17]

Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = 5\frac34 \ hrs.

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

5\frac34 \ hrs. can be Rewritten as \frac{23}{4}\ hrs

Number of hours rode on first day = \frac{23}{4}\ hrs

Also Given:

Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

Number of hours rode on second day = \frac{34}{5}\ hrs.

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

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