Step-by-step explanation:
- 5^-2= 1/25 (as when taken up 25 it becomes 5^-2).
- 2^5= 32 (when we multiply 2 for 5 times, we get 32).(2×2×2×2×2)
- 2^-4=1/16 (as when we take up 16 we get 2^-4)
- 5^3=125 (when we multiply 5 for 3 times we get 125)(5×5×5)
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Given : 7y=8x-14 and y =6
We plug in 6 for y in the given equation
Statement Reason
7y=8x-14, y=6 Given
7(6)= 8x-14 Substitution
56 = 8x Add 14 on both sides
7 = x divide by 8 on both sides
Hence proved x=7
Answer:
51.
Step-by-step explanation:
The mode is the value which occurs most.
Ifwe look at the right side we see that the number occurring the most is 1:
'111'.
This is 51.
Answer:
Just put the values of x and y
x = 1
y = -2
2x – y = p
2(1) - (- 2) = p
p = 4
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
__
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
