If Bob can paint the fence in 4 hours, then in 1 hour he gets 1/4 of the fence painted. If Sarah can paint the fence in 2.5 hours, then she gets 2/5 of the fence painted in one hour (1/2.5 = 2/5). We add those amounts together and set them equal to 1/x, x being the the total time it will take them to paint the whole fence. 1/4 + 2/5 = 1/x. Find a common denominator first, then add the left side together. 5/20 + 8/20 = 1/x. 13/20 = 1/x. Cross-multiply to get 13x = 20 and x = 1.54 hours, just a bit over an hour and a half.
Answer:
Daniel must tutor 160 hours
Explanation:
310+275+70= 655
655×6= 3930 (he needs this amount of $)
(Daniel gains $20 per hour)
20×160= 3200
3200+745= 3945
3945 > 3930
Daniel has enough for the trip.
Where did I get 160?
Well, I was just trying out numbers and multiplying it by 20
The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.
If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.
Hope this helped!
Answer:
- y=-3/2x+4
- y=-3/2
- y=3x+2
- y=3/2+3
Step-by-step explanation:
Between 2 and 6 means the set is more than 2 and less than 6
x is the set
x>2 and x<6
2<x and x<6
2<x<6
it is wrong that they wrote
2>x>6, means x is les than 2 and greater than 6
no solution
correct way is 2<x<6
In order for something to be proven, there can be no counterexamples to prove it false.
9 is not greater than or equal to 8, therefore this statement is
false.
