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Yuliya22 [10]
3 years ago
11

Need Help on Algebra 2 Question To Finish My Unit Exam (10.12)

Mathematics
1 answer:
TEA [102]3 years ago
5 0

Answer:

3rd option

Step-by-step explanation:

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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.

3 0
3 years ago
Solve for x. Assume that lines are diameters?
Delicious77 [7]
360 - 20 + 2x = 360
340 + 2x = 360
2x = 20
x = 10
5 0
3 years ago
Read 2 more answers
Paul needs to buy 5/8 pound of peanuts. The scale at the store measures parts of a pound in sixteenths. Which measure is equival
Bogdan [553]
10/16 because you multiply 8x2 to get sixteen, the denominator you need. So whatever you do to the denominator, you do to the numerator. So 5x2 is 10. 10/16
4 0
3 years ago
Read 2 more answers
the doctor recommended that Matt increase the number of calories you consume from 2000 to 2800 by what percent did the number of
nikdorinn [45]

Answer:

40% number of calories have increased

Step-by-step explanation:

Old Value ( Calories consume before)  = 2000

New Value (increase in Calories consumed) = 2800

We need to find by what percent did the number of calories increase ​

To find percent increase, the formula used is:

Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100%

Putting values in formula and finding percent increase

Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100\%\:\\Percent\: increase=\frac{2800-2000}{2000}\times 100\%\: \\Percent\: increase=\frac{800}{2000}\times 100\%\: \\Percent\: increase=0.4\times 100\%\: \\Percent\: increase=40\%

So, 40% number of calories have increased

8 0
3 years ago
365x + 125 = 250x + 175
maxonik [38]
First, set up the equation. 
365x + 125 = 250x + 175 

Second, combine like terms on the same side by subtracting 250x and 125 from both sides.

365x +125 = 250x + 175  
-250x  -125   -250x -125 
__________________
115x = 50

Third, divide both sides by 115 to solve for x.

115x = 50
----      ----
115     115 

Fourth, simplify. 

x=50/115=10/23 or 0.435

7 0
3 years ago
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