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likoan [24]
1 year ago
10

Mark and don are planning to sell each of their marble collections at a garage sale. if don has 2 more than 4 times the number o

f marbles mark has, how many does each boy have to sell if the total number of marbles is 102?
Mathematics
1 answer:
Sonbull [250]1 year ago
7 0

If the total number of marbles is 102, Mark has 20 marbles while Don has 82 marbles.

To answer this word problem, read and understand first the problem.

"Don has 2 more than 4 times the number of marbles Mark has."

Out of this statement, we can come up with the expression,

Don = 2 + (4 x Mark)     (equation 1)

Next, the total number of marbles they have is 102.

Don + Mark = 102     (equation 2)

From this expression, if we subtract the number of marbles Mark has from the total number, we can get the number of marbles Don has.

Don = 102 - Mark    (equation 3)

Equating the 1st and 3rd equation,

Don = 2 + (4 x Mark) = 102 - Mark

2 + (4 x Mark) = 102 - Mark

let x = Mark's

2 + (4x) = 102 - x

4x + x = 102 - 2

5x = 100

x = 20

Mark has 20 marbles.

Meanwhile, use either the 1st or 3rd equation to know the number of marbles Don has.

Don = 102 - Mark    (equation 3)

Don = 102 - 20

Don = 82

For more examples of mathematical expressions to solve word problems:, brainly.com/question/13818690.

#SPJ4

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its question #2 my son and I cannot figure out how to do this other than dividing. however, when u divide 59 into 422, are you s
anyanavicka [17]
Honestly I can see an argument for 7 shelves or for 8 shelves. 

When you do the calculation; \frac{422}{59}=7.15 You get 7.15 shelves. Clearly you cannot have .15 of a shelf so the logician in me wants to say you need 8 shelves! 

But if the assignment is aimed estimation skills, (Which is what I assume is being implied by the title of the assignment), then the easier calculation of \frac{420}{60}=7 is probably what the teacher was hoping for.

You might have been accidentally been calculating \frac{59}{422} =.139. Remember division is NOT communitive! i.e.1\div2\neq2\div1.

From the image;
The first step was to see that 59 can not go into 4..resulting in the zero above the 4, multiplying 0 by 59 and subtracting 0 from 4. 

The second step begins by bringing down the 2, seeing that 59 can not go into 42..resulting in the zero above the 2, multiplying 0 by 59 and subtracting 0 from 42.

The third step begins by bringing down the 2, seeing that 59 can go into 422 7 times (I tested this on the right by a short multiplication problem)..resulting in the 7 above the 2, multiplying 7 by 59 and subtracting 413 from 42.

This process continues....

8 0
3 years ago
Read 2 more answers
Rewrite the fraction 29/50 with a denominator of 100
romanna [79]

Answer:

58/100

50 X 2 = 100

29 X 2 = 58

8 0
3 years ago
How can we find the measure of an exterior angle if we know the measurement of an interior angle
Alik [6]

Step-by-step explanation:

Put the interior angle equal to 180.


It would look something like this:

x+45=180

-45     -45

180-45= 135 so the exterior angle would be 135!

3 0
3 years ago
Calculate the area of triangle ABC with altitude BD, given A (−6, 0), B (0, 0), C (0, 6), and D (−3, 3).
nata0808 [166]

Answer:

  • 18 unit²

Step-by-step explanation:

If BD is altitude then AC is the base.

<u>The length of AC is:</u>

  • AC = \sqrt{6^2+6^2} = 6\sqrt{2}

<u>The length of BD is:</u>

  • BD = \sqrt{3^2 + 3^2} = 3\sqrt{2}

<u>The area is:</u>

  • A = 1/2bh
  • A = 1/2 * 6\sqrt{2} *3\sqrt{2} = 18 unit²
4 0
3 years ago
Read 2 more answers
How many times greater is 130,000,000 than 64,800,000?
insens350 [35]
\frac{130,000,000}{64,800,000} = \frac{1,300}{648} =\boxed {2.00617283951}
4 0
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