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swat32
3 years ago
5

Mary is 5 Times as old as Morgan and the sum of their ages is 72.how old is each person

Mathematics
1 answer:
gladu [14]3 years ago
5 0

Let Morgan = X

Then Mary = 5X ( 5 times as old).


The sum is 72, so 5x +x = 72

5x +x = 6x:

6x = 72

Divide both sides by 6:

x = 72 / 6

x = 12

Morgan is 12 years old.

Mary is 5(12) = 60 years old.

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Paolo is using his grandmother's breakfast bar recipe. He always doubles
Papessa [141]

Answer:

6\frac{1}{3} = 2\frac{1}{2} * 2 + \frac{x}{2}

Step-by-step explanation:

lets start with what we know.

the recipe calls for 2 \frac{1}{2} cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2

2 \frac{1}{2} * 2 = 5 cups of yogurt.

the total of yogurt and oats is 6\frac{1}{3} and we know how much yogurt we have so we subtract that from the total of both.

6\frac{1}{3} - 5 = 1\frac{1}{3}

the oats after doubling were 1\frac{1}{3} cups so u divide it by 2

1\frac{1}{3} / 2 = \frac{2}{3} before doubling

7 0
2 years ago
A survey was conducted to determine the popularity of three foods among students. The data collected from 75 students are summar
Andrews [41]

Answer:

20

Step-by-step explanation:

Total no = 75

N (P) = 48 , N (H) = 45 , N (T) = 58

N (P∩H) = 28 , N (H∩T) = 37 , N (P∩T) = 40

N (P∩H∩T) = 25

Total no = N (P) + N (H) + N (T) - N (P∩H)  -  N (H∩T) - N (P∩T) + N (P∩H∩T) + neither

75 = 48 + 45 + 58 - 28 - 37 - 40 + 25 + neither

75 = 71 + neither → neither = 4

N (only P) = N (P) - N (P∩H)  - N (P∩T)  + N (P∩H∩T) = 48 - 28 - 40 + 25 = 5

N (only H) = N (H) - N (P∩H) - N (H∩T) +  N (P∩H∩T) = 45 - 28 - 37 + 25 = 5

N (only T) = N (T) - N (H∩T) - N (P∩T) + N (P∩H∩T) = 58 - 37 - 40 + 25 = 6

So, total liking either one or neither = 4 + 5 + 5 + 6 = 20

4 0
3 years ago
The area of a circle is 201 cm². What is the diameter
natima [27]

Answer:

The diameter would be 16

Step-by-step explanation:

The area of a circle is a=r^{2}×π. Now just plug in the values you have which is you area. 201=r^{2}×π now divide by pi on both sides you that you get about 64=r^{2}. Now find the square root on both sides which will then give you 8 as your radius. To find diameter from radius you have to multiply by 2. 8*2=16

8 0
3 years ago
The variables y and x have a proportional relationship, and y = 25 when x = 60.
jeka94

Answer:

A

Step-by-step explanation:

A. x = 25

4 0
3 years ago
Read 2 more answers
The value of x is approximately:
solong [7]

Answer:

19.80

Step-by-step explanation:

tan 22= 8/x

tan 22 = 8/x

x = 8/tan 22

x = 19.80

7 0
2 years ago
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