Answer:
2/13
Step-by-step explanation:
In a deck of 52 cards, there are 2 sets of red cards. Diamonds and Hearts. In each set of red cards, there are 4 fives. If there are 2 sets, that means that there are 8 red fives in the deck of 52 cards. This means that the probability is 8/52 which is simplified into 2/13.
Answer:
The scale is not reasonable.
Step-by-step explanation:
The painting is 48 inches by 120 inches
The scale is 1 inch = 4 inches
Divide the painting size by 4
48/4 = 12 inches
120/4 = 30 inches
We would need paper that is
12 inches by 30 inches
Our paper is 12 inches by 24 inches
It is too small. The scale is not reasonable
Givens
<em><u>Slower car</u></em>
r = r
t = 12 hours
d = ?
<em><u>Faster car</u></em>
r = r + 20
t = 8 hours
d = ?
It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.
d = r * t
r * 12 hours = (r + 20)* 8 hours. Remove the brackets on the right
r*12 = 8r + 20*8
r*12 = 8*r + 160
r*12 - 8r = 8r - 8r + 160
4r = 160
r = 40 miles / hour
=================
Slower Ride determines the distance.
d = r*t
d = 40 * 12
d = 480
Check
Use the faster rate (r + 20) = 40 + 20 = 60 mph
60 * 8 = 480. Both distances work out to be the same.
Answer:
#2: y-intercept=-2
Bottom left graph: Slope:4/2
y-intercept:-2
Equation: y=4/2x-2
Bottom right graph: Slope:-2
y-intercept:8
Equation: y=-2x+8
