The amount spent as a percentage of the budget can be found from
... (actual amount)/(total budget) × 100%
... = (actual amount)/3600×100%
... = ((actual amount)/36)%
For housing, this is
... (820/36)% = 22.78% . . . . less than budget for housing
For transportation, this is
... (370/36)% = 10.28% . . . . more than budget for transportation
Answer:
B
Step-by-step explanation:
A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.
<u>Table A</u>
These fractions are not equal. This is not proportional.
<u>Table B</u>
These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.
<u>Table C</u>
These fractions are not equal. This is not proportional.
<u>Table D</u>
These fractions are not equal. This is not proportional.
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
Parenthasees
the first onewould evaluate to 4x²
the 2nd one would just be -2x²
Answer:
b=6 1/4
Step-by-step explanation:
just trust me!!
