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Maslowich
4 years ago
13

258 times 78 divided by 62 subtract 100

Mathematics
1 answer:
vlabodo [156]4 years ago
3 0
The answer is 224.58064 or 224.58 rounded

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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
Val buys a computer for $720. If this is 120% of what the store paid for the
Effectus [21]
The answer to this question is 120
5 0
3 years ago
Write in its simplest form : 30 : 1 ¼ hour​
Alex Ar [27]

Answer:

6

Step-by-step explanation:

3 0
3 years ago
I REALLY NEED HELP!
Snowcat [4.5K]

Answer:

B

Step-by-step explanation:

The compound interest formula is A = P (1+r/n)^nt where:

  • P is the starting amount called the principle
  • r is the rat written as a decimal
  • n is the number of times compounded in a year
  • t is the number of years

Substitute a value into each variable to solve.

  • P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.
  • The rate is 3.5% or r = 0.035.
  • n = 12 because it is compounded monthly meaning 12 times a year.
  • t = 25 since it will earn for 25 years.

A = P (1+r/n)^{nt}\\A = 147(1 + \frac{0.035}{12})^{12*25}\\A = 147 ( 1 + 0.002916)^{300}\\A = 147(1.002916)^{300}\\A = 352.19

Repeat this process for each formula.

5 0
4 years ago
Distance between (-3,1) (1,5)
Mamont248 [21]

Answer & Step-by-step explanation:

For this problem, we will use the distance formula.

d=\sqrt{(x2-x1)^2+(y2-y1)^2}

For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.

d=\sqrt{(1-(-3))^2+(5-1)^2}

d=\sqrt{4^2+4^2}

d=\sqrt{16 + 16}

d=\sqrt{32}

d=5.657

So, the distance between (-3,1) and (1,5) is 5.657 units.

5 0
3 years ago
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