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Igoryamba
3 years ago
11

Harry has decided to give his collection of 24 old coins to his four grandsons. John, the oldest, gets half the collection. Walt

, Matt, and Richie will divide the remaining coins evenly among themselves. How many coins will each boy receive?
Mathematics
2 answers:
Aleksandr [31]3 years ago
5 0
John gets 12, Walt, Matt, and Richie get 4 each
Alex Ar [27]3 years ago
4 0
If John is getting half, he gets 12 coins.

There are 12 remaining for the 3 boys to split.

3/12 = 4

4 COINS each
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5. Priya mixes 2..5 cups of water with 1/3 cup or orange juice concentrate. Diego mixes 1 2/3 cups of water with 1/4 cup or oran
Snowcat [4.5K]

Priya needs 13⅓ cups of orange juice

Diego 15 cups

Step-by-step explanation:

......................................................................................................................

Priya

......................................................................................................................

Cup of water = 2½

Cup of orange = ⅓

If 2½ cups of water requires ½ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

2½ : ⅓ = 100 : x

5/2 : 1/3 = 100 : x ------------------Convert ratio sign to division

5/2 ÷⅓ = 100/x

5/2 * 3 = 100/x

15/2 = 100/x ---------------Multiply both sides by x

15/2 * x = 100/x * x

15x/2 = 100 ------------------ Multiply both sides by 2

2 * 15x/2 = 2 * 100

15x = 200 --------------- Divide both sides by 15

x = 200/15

x = 13⅓

So, 13⅓ cups of orange is needed by Priya

......................................................................................................................

Diego

......................................................................................................................

Cup of water = 1⅔

Cup of orange = ¼

If 1⅔ cups of water requires ¼ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

1⅔:¼ = 100:x

5/3 : ¼ = 100:x

5/3 ÷¼ = 100 ÷ x

5/3 * 4/1 = 100 ÷ x

20/3 =100/x----------------------- Multiply x to both sides

20/3 * x = 100/x * x

20x/3 = 100 ------------------------ Multiply 3 to sides by 3

3 * 20x/3 = 100 * 3

20x = 300 ------------- Divide both sides by 2

20x/20 = 300/20

x = 15

So, 15 cups of orange is needed by Diego

6 0
3 years ago
can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the c
Morgarella [4.7K]

Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be 3:4.

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are \overline{RS} and \overline{AB}.

The ratio of \overline{RS}:\overline{AB} is 18:24\implies \boxed{3:4}.

The reason why it ideally should be 3:4 and not 4:3 is because the question states RTSU\sim ABCD, which mentions RSTU first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.

3 0
2 years ago
Last week, Ms. Herald walked 1.6 miles for 3 nights last week. She walked an
ikadub [295]

Answer:

1.6 + 1.6 + 1.6 + 3.1 = 7.9 miles walked

5 0
2 years ago
This is 12 points!!!!<br> please me help i don't undestand it
Paha777 [63]

Answer:

10,36,3,144,6 and 24 in that order

Step-by-step explanation:

sorry if its wrong

3 0
2 years ago
Please help 4 questions for 10 points!!!
exis [7]

Answer:

Step-by-step explanation:

1)4(20+3)

2)4(20+22)

3)6.40+6.5

4)12(2+7)

8 0
2 years ago
Read 2 more answers
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