Answer:
1=n
Step-by-step explanation:
Step 1- Distribute into the parenthesis.
7(3)+5(3)n= 6n+1(6)+4(6)n
Step 2- Multiply
21+15n= 6n+6+24n
Step 3- Add common variables to simplify.
21+15n= (24n+6n)+6
21+15n= 30n+6
Step 4- Subtract the smallest variable to both sides.
21+15n= 30n+6
-15n -15n
21= 15n+6
Step 5- Subtract 6 to both sides.
21= 15n+6
-6 -6
15= 15n
Step 6- Divide both sides by 15.
<u>15</u>= <u>15n</u>
15 15
1=n
Answer:
k = -2
Step-by-step explanation:
1. Substitute the point (2,-1) into the given equation 5x+ky=12. The first number is 2, the x-value. The second number is -1, the y-value.
5x + ky = 12
5(2) + k(-1) = 12
2. Simplify
5(2) + k(-1) = 12
10 + (-k) = 12
10 - k = 12
2. Isolate k
10 - k = 12
-k = 12-10
-k = 2 <= here multiply both sides by (-1)
k = -2
Answer:
Step-by-step explanation:
Len and Faye live 54 miles apart. At the same time, they start biking toward each other on the same road. Len's constant rate is 7 mph and Faye's is 11 mph. How many hours will it take them to meet? [Remember: D = (r)(t)]
Answer – 3 hours
D = (r)(t), Where
‘D’ is the distance covered
‘r’ is the approach rate
‘t’ is the total time spent
Distance covered, ‘D’ = miles
Approach rate, “r” = mph + mph 7+11
r = 18
t is unknown
Solving for t,
D = (r)(t)
54 = 18t
t = 54/18
t = 3 hours
Use the identity P(A ∪ B) = P(A)+P(B)-P(A ∩ B)
P(A)=0.50
P(B)=0.60
P(A ∪ B) = 0.30
=>
P(A ∪ B) = P(A)+P(B)-P(A ∩ B)
=(0.50+0.60)-0.30
=0.80
