Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Answer:
Total number of members in month 34 is 1341 members.
Step-by-step explanation:
We have given,
Number of fans join a club in first month = 1044
And after the first month nine new members are allowed to join each month.
After first month , Let the number of club members in x months will be given as:
Number of members = 1044 + 9x
We need to find number of members in month 34.
So for first month we already had 1044 members, that mean for remaining 33 months we need to calculate members.
i.e total number of members in month 34 = 1044 + (33×9 ) , {Since x = 33 here}
OR total number of members in month 34 = 1044 + 297 = 1341 members
2x²-19x-33=0
(2x-22 )(2x.+3 ) = 0
(x-11)(2x+3)=0
x-11=0 implies x = 11
2x+3=0 implies x = -3/2
Answer:
x=2
Step-by-step explanation:
2 times x + 4 = 8
-4 -4
2 times x = 4
/2 /2
x = 2
-8 and +8 equal 0 since they cancel out. It's basically 8-8. So that leaves you with 0-(-7). The two negatives make a positive, now you're left with 0+7=7. Your answer is 7. Hope this helps :)
