The distance would be 9.
Hope I could help.
CARD #1: Use the number 0 to represent the yellow marbles and 1 through 9 to represent the other marbles.
Since we are only allotting one out of the 10 numbers for the yellow marbles, then we should also find a set of marbles wherein the ratio of the yellow marbles to the total marbles is 1/10. Out of the options, the situation with 30 red marbles, 40 blue marbles, 20 green marbles, and 10 yellow marbles match the ratio.
CARD #2: Use the numbers 0 through 4 to represent the yellow marbles and 5 through 9 to represent the other marbles.
We will follow the same logic as the previous pair. Since we used 5 numbers out of the 10 for yellow marbles, then we should find a situation wherein the ratio of the yellow marbles to the total marbles is 1/2. From the options, the situation with 16 red marbles, 32 blue marbles, 32 green marbles, and 80 yellow marbles satisfy the ratio.
CARD #3: Use the numbers 0 through 2 to represent the yellow marbles and 3 through 9 to represent the other marbles.
For this card, 3 out of the 10 numbers are allotted for the yellow marbles. Thus, the ratio of the yellow marbles to the total marbles should be 3/10. We can see that the only situation that satisfies this is the one with 60 red marbles, 120 blue marbles, 30 green marbles, and 90 yellow marbles.
CARD #4: Use the numbers 0 through 3 to represent the yellow marbles and 4 through 9 to represent the other marbles.
Lastly, we will apply the same logic for this card. The 4 numbers allotted for yellow marbles will tell us that the ratio of the yellow marbles to the total marbles should be 2/5. The only situation that satisfies this would be the one with 20 red marbles, 30 blue marbles, 10 green marbles, and 40 yellow marbles.
Answer:
n = 4.5
Step-by-step explanation:
I think it is 4.5 because n is 3 units ahead of 1.5 on the number line:
1.5+3=4.5
Answer:
speed of the wind, w = 20 mph
Step-by-step explanation:
Let,
s = speed in still air = 120 mph
w = wind speed = ?
t = travel time in hours
Plane traveling with the wind, we have:
(v + w)t = 700
(120 + w)t = 700 ------------------(equation 1)
Plane traveling against the wind, we have:
(v - w)t = 500
(120 - w)t = 500 --------------------(equation 2)
From equation 1, make t subject of formula,
t = 700/(120 + w) -------------------(equation 3)
From equation 2, make t also subject of formula,
t = 500/(120 - w) ---------------------(equation 4)
It is the same t in both equations, so equating equation 3 and 4
700/(120 + w) = 500/(120 - w)
Solve for w.
500(120 + w) = 700(120 - w)
60000 + 500w = 84000 - 700w
500w + 700w = 84000 - 60000
1200w = 24000
w = 24000/1200
w = 20 mph
Answer:
Step-by-step explanation:
1 and triangle A is congruent by Angle Side Angle congruent.
2 and triangle A is congruent by Side Side Side congruent.
3 and triangle A is congruent by Angle Side Angle congruent.
