9514 1404 393
Answer:
p : q = 3 : 2
Step-by-step explanation:
You are given sufficient information to write two relations involving p and q. We presume these will be sufficient to find an answer to the question. We will be able to find p and q. Then we can find their ratio, as the problem asks.
(p-15)/(q-15) = 2/1
(p+30)/(q+30) = 5/4
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From the first equation, we get ...
p -15 = 2(q -15)
p = 2q -15 . . . . . . . add 15, simplify
From the second equation, we get ...
4(p +30) = 5(q +30)
4p + 120 = 5q + 150
4p = 5q + 30
Using the first equation to substitute for p, we have ...
4(2q -15) = 5q +30
8q -60 = 5q +30 . . . eliminate parentheses
3q = 90 . . . . . . . . . . . add 60-5q to both sides
q = 30 . . . . . . . . . . . . divide by 3
p = 2q -15 = 2(30) -15 = 45
Then the desired ratio is ...
p : q = 45 : 30
p : q = 3 : 2
Answer:
[4 + 1] *[7-2] =25
Step-by-step explanation:
[4 + 1] *[7-2] =25
We need to get to 25
What makes 25
5*5
4+1 =5
7-2 =5
5*5 =25
So we need brackets around 4+1 and around 7-2
The length would be 22 ft.
The width would be 7 ft.
A=lw
A=22(7)
A=154 ft^2
Answer:
2nd number = 13
First number = 15
3rd number = 30
Step-by-step explanation:
Let
2nd number = 1/2x - 2
First number = 1/2x
3rd number = x
Total = 58
x + 1/2x + 1/2x - 2 = 58
x + x+x/2 = 58 + 2
x + 2/2x = 60
x + x = 60
2x = 60
x = 60/2
= 30
x = 30
2nd number = 1/2x - 2
= 1/2*30 - 2
= 15 - 2
= 13
First number = 1/2x
= 1/2*30
= 15
3rd number = x
= 30
Answer:
The pattern is being divided by 10 each time.
Step-by-step explanation:
784.5/10=78.45, and so on
