Answer: 10.5 miles
Step-by-step explanation: If she runs 7 miles for 50 minutes, if you half it, she runs 3.5 miles in 25 minutes. This means if you add 7 and 3.5 miles, you would add 50 and 25 minutes,
So 10.5 miles in 75 minutes in your answer
Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
Form equation
y = mx + c
y = (rise/run).x + c
y = (11-1 / 3--2)x + c
y = 2x + c
11 = 2(3) + c
Find c (y-intercept)
11 - 6 = c
c = 5
Final equation of line
y = 2x + 5
Substitute given possible x-values in to find y-values
y = 2(1) + 5 = 7 (1,7)
y = 2(2) + 5 = 9 (2,9)
Therefore d is correct
Answer:
-6 = m (i'll show my work below)
Step-by-step explanation:
-6(m-7) + 7 = -8m + 37
-6m + 42 + 7 = -8m + 37
-6m + 49 = -8m +37
-37 = -37
-6m + 12 = -8m
+6m = +6m
12 = -2m
/-2 = /-2
-6 = m