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allochka39001 [22]
2 years ago
13

Arturo has a log that is 4 yards long. he cuts the log into pieces that are 1/3 yard long . how many pieces will Arturo have?

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
8 0
Arturo will have 12 pieces. For this problem, you need to multiply by the reciprocal. To do that, you flip 1/3 over to 3/1 and multiply that by 4. 3/1 times 4 equals 12. Remember that 4 as a fraction is 4 over 1. So you would multiply 4 by the numerator (3) because 4 is the numerator in 4/1.
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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
2 years ago
If t represent the number of tickets purchased for a baseball game, which scenario is modeled by the equation, 32.50t + 5 = 28.7
tino4ka555 [31]

Answer:

Replacing t with 4, 32.5*4 + 5 is 135 and 28.75 * 4 + 20 is also 135. Since these two are equal, the equation is verified.

or

If you substitute 4 for t in the equation, you get a true statement. That means it would cost the Burns family $135 for 4 tickets and parking for either lower-level or middle-level seats.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The first jump in a unicycle high-jump contest is shown. The bar is raised 2 centimeters after each jump. Solve the inequality 2
Brut [27]

Answer:

n>8

2n + 10 > 26

2n +10 -10 > 26 - 10

2n  > 16

2n divided by 2 to leave n by itself > 16 divided by 2 ( what you do to one side is mirrored on the other side)

Therefore, n<8

4 0
2 years ago
To the right are the outcomes that are possible when a couple has three children. assume that boys and girls are equally​ likely
hoa [83]

The all possible eight outcomes of boy or girl birth when a couple have three children is

(GBB) , (GBG), (GGB) , (GGG), (BBG), (BGB), (BGG), (BBB)

Where B represents boy and G represents Girl

The probability that having exactly 1 girl is

= Number of outcomes with one girl / Total numbers of outcomes

Now Number of outcomes with only one girl = GBB, BGB, BBG = 3

So the probability will be

The probability that having exactly 1 girl is = 3/8 = 0.375

The probability that when a couple has three​ children, there is exactly 1 girl is 0.375

7 0
2 years ago
How do I find the value of y if M is the midpoint of LN.<br> LM = 9y-4<br> MN = 6y+5
Vlad1618 [11]
If M is the midpoint, then LM = MN
3x - 2= 2x +1
x = 3
So LM = 3x - 2 = 9 -2 = 7

LM = 7
3 0
2 years ago
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