For lines to be parallel, they have to have the same slopes. For the equation given as Ax + By + C = 0, the slope is -A / B. Equating the slopes of the given equations of lines,
- (3 / -5) = - (2 / k)
The value of k is equal to -10/3.
B.
For all 3 to work together, they can paint 1 room per hour.
C.
John can paint a room at 1/4 of a room per hour.
Rick can paint a room at 1/5 of a room per hour.
Together they can paint a room at a rate of 9/20 of rooms per hour.
D.
1 = 1/4j + 1/5r + 11/20m (john, rick, molli)
E.
The least common denominator is 20
F.
1 = 1/4(0) + 1/5(0) + 11/20x
1 = 0 + 0 + 11/20x
1 = 11/20x
x = 1/(11/20)
x = 1 9/11
It will take Molli 1 hour and 49 minutes (60 x 9/11) to paint the room alone.
This can be solved by making an equivalent ratio.
The original ratio is what we know, 15 inches of wire for 90 cents.
In a ratio of inches of wire:cents, this would be 15:90.
Now for the equivalent ratio.
We don't know the number in the inches place but we do know it for the cents place.
Let's use x to represent inches of wire.
x:48 is our new ratio, and we need to find x.
Since x:48 and 15:90 are equivalent, that means the same thing that was done to 90 to get 48 has to be done to 15 to get the value of x, since the same thing must be applied to both sides.
We can find what 90 was divided by (which is what we'll have to divide 15 by) by dividing 90 by 48.
90 / 48 = 1.875
This means 48 • 1.875 = 90 and x • 1.875 = 15.
Since we don't know x though, we can isolate it by dividing both sides by 1.875.
x • 1.875 = 15
x • 1.875 / 1.875 = x
15 / 1.875 = 8
So x is 8.
Answer:
While you can be 15 inches of wire for 90 cents, you can buy 8 inches of wire for 48 cents at the same rate.
Answer:
Camila
Step-by-step explanation:
you take 1/5 and make it 2/10. Then you see that there are 10 slices and since Beth and Camila ate in 10th's, Beth at 2 slices and Camila ate 3. So since Alice ate 2 slices its less than Camila. Therefore, Camila ate the most slices.
Divide 128 by 16 to get how many balloons will go on each post.
128 ÷ 16 = 8
8 balloons per post :)
