( 4 / 5 )^-2 = ( 5 / 4 )^2 = 25 / 16 ;
Ratio of the free throws completed to attempted free throws is given to be 4:7. This ratio should be equal to the ratio of the next case. Let x be the number of free throws attempted. The proportion takes a form of,
(4 completed / 7 attempted) = (12 completed / x attempted)
Solving for x gives x = 21. Thus, the answer is letter c. which is the second among the choices.
Answer:
3x + y = -16
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given a system of equations are
5x+6y =-5
- 2x - 5y = -11
multiply '1' and Adding two system of equtions
+ 1 (5x + 6y = -5)
+ 1 (<u> -2x - 5y = -11)</u>
<u> 3x + y = -16 </u>
<u>Final answer:-</u>
5x + 6y = -5
<u> -2x - 5y = -11</u>
<u> 3x + y = -16 </u>
<u />
Answer:
- 3.9 hours
- 90 mph
Step-by-step explanation:
<h3>1.</h3>
The sum of the rates of painting, in fences per hour, is ...
1/9 + 1/7 = (9+7)/63 . . . . fences per hour
The total rate in hours per fence is the inverse of that:
63/16 = 3 15/16 ≈ 3.9 . . . hours to paint the fence
__
<h3>2.</h3>
The relevant relationship is ...
distance = speed × time
Let t represent Tom's speed in miles per hour. Then George's speed is (t-36). They both have traveled the same total distance at the point where Tom catches up.
(2+3)(t-36) = 3t
2t = 180 . . . . . . . add 180-3t
t = 90 . . . . . . divide by 2
Tom's average speed is 90 miles per hour.
