If we now that 4y equals to x, that means we can replace x with 4y.
Therefore we can write: 4y+2y = 12
We can summarize that to 6y = 12.
If we divide both sides with 6, you get y = 2
In order to solve for x, we can use the second equation and just replace y with value we just got (y=2).
We can write: x+2*2=12
Now you move 2*2 (which is 4) to the other side: x=12-4
Now you get: x = 8
Answer:
2.16
Step-by-step explanation:
r = cost of ruler
p = cost of pencil
r = 2p
6r + 15p = 2.16
Substitute 2p in place of r in 2nd equation and solve for p
6(2p) + 15p = 2.16
12p + 15p = 2.16
27p = 2.16
Answer:
1. B
2. 2 and 1/8 cups
Step-by-step explanation:
You just had to make common denominators and then your would subtract
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
180 is the degrees a straight line segment is. This means that
4x + 3x + 2x = 180.
Since these all have the same variable (x), then you can add the coefficients. (4,3,2)
9x = 180
180/9 = x
X = 20
