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bogdanovich [222]
3 years ago
9

The ratio of men to women to children at a concert was 3:5:2. If there were 360 more adults than children, how many people were

at the concert?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0
The question narrows the groups down from 3 groups with men, women and children to 2 groups with adults and children. Combine the ratios of the men and the women to children to create this new ratio: (3+5):2 = 8:2. You can then simplify it to 4:1.

Let x be the number of children.

4:1 = (x+360) : x

Cross-multiply the two ratios to get the expression below, simplify and solve for x:

x + 360 = 4x
360 = 4x - x
360 = 3x
x = \frac{360}{3}
x = 120

Since there are 120 children, simply add the number of adults (360 more than this value as mentioned before) and you have your final answer:

total = 120 + (360 + 120)
total = 600

Hope this helped :)
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Answer:

the y intercept at this point is 7

Step-by-step explanation:

hope this helps comment if not

5 0
3 years ago
Twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solv
yan [13]

The numbers are 105 and 50

<em><u>Solution:</u></em>

Let "x" be the first number

Let "y' be the second number

Twice a number plus twice a second number is 310

Therefore,

twice of x + twice of y = 310

2x + 2y = 310 ---------- eqn 1

The difference between the numbers is 55

x - y = 55 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 2,

x = 55 + y ------ eqn 3

<em><u>Substitute eqn 3 in eqn 1</u></em>

2(55 + y) + 2y = 310

110 + 2y + 2y = 310

4y = 310 - 110

4y = 200

<h3>y = 50</h3>

<em><u>Substitute y = 50 in eqn 3</u></em>

x = 55 + 50

<h3>x = 105</h3>

Thus the numbers are 105 and 50

7 0
3 years ago
Let f(x)=9−8x‾‾‾‾‾‾√ .Which of the following decompositions of f(x)=p(q(x)) into a pair of functions p(x) (the outside function)
zvonat [6]

Answer:

C, D and E

Step-by-step explanation:

Assuming  

f(x) = √(9−8x)

and the options are:

A. p(x) = √(-8x) and q(x)=9+x

B. p(x) = √(9+x) and q(x)=8x

C. p(x) = √(-x) and q(x)=8x−9

D. p(x)=√(9−x) and q(x)=8x

E. p(x)=√x and q(x)=9−8x

F. p(x)=9−8x and q(x)=√x

G. All of the above

H. None of the above

Substituting in f(x)=p(q(x)) we get:

A. √(-8(9+x)) = √(-72 - 8x)

B. √(9+(8x)) = √(9+8x)

C. √(-(8x−9 )) = √(-8x + 9)

D. √(9−(8x)) = √(9−8x)

E. √(9−8x )

F. 9−8(√x ) = 9 - 8√x

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3 years ago
What dose valuable mean
Otrada [13]
The real definition is worth a large deal of money so A
4 0
3 years ago
Read 2 more answers
If you are asked to find 621 divided by 59, how do you know the quotient will be greater than 10 before you actually divide. (my
Nitella [24]
For me, I know that this answer would be greater than 10 because for a fact, 621 and 59 aren't just perfect multiples of 10. But I don't know, because all humans don't really think alike. So, your teacher might say this doesn't work. Then in that case, I am very sorry. :0

But in any case, I hope this helps and have a good night! :D
4 0
3 years ago
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