Answer:
x=-1
Step-by-step explanation:
8/x+2=2/x-4
8/x=2/x-6
8=2-6x
6=-6x
-1=x
<u>Given</u>:
Juan has been saving for a new bike for two months. So far, he has saved $150 for the bike.
The money that he has saved so far is 30% of the cost of the bike.
We need to determine the total cost of the bike.
<u>Total cost of the bike:</u>
Let x denote the total cost of the bike.
The total cost of the bike is given by

The value of 30% can be written as 
Thus, we get;

Multiplying both sides by
, we have;

Simplifying, we have;


Thus, the value of x is 500.
Hence, the total cost of the bike is $500.
Answer:
The height of the trough is about 1.5 ft
Step-by-step explanation:
If each cubic foot of water contains about 7.5 gallons.
Then; 315 gallons is about 
Let h be the height of the trough, then

This implies that;

Divide both sides by 28 to get:


The height of the trough is about 1.5 ft
Answer:
Step-by-step explanation:
Let the rate of boat in still water be b and the speed of the current be c
- Speed downstream = b + c
- Speed upstream = b - c
<u>We got equations for time:</u>
- 108/(b - c) = 3 ⇒ b - c = 36
- 108/(b + c) = 2 ⇒ b + c = 54
<u>Add up the equations:</u>
- b - c + b + c = 36 + 54
- 2b = 90
- b = 45 km/h
<u>Then finding the values of c</u>
8x + 4y + 6 <= 70
x = # of salads
y = # of drinks
If he buys 4 salads then
8x + 4y + 6 <= 70
8(4) + 4y + 6 <70
32 + 4y + 6 <= 70
4y + 38 <= 70
4y <= 32
y <= 8
Answer
A. 8