2(7/2)^x = 49/2
Divide both sides by 2:
(7/2)^x = 49/4
I notice that 49/4 can be rewritten as (7/2)^2, so we now have:
(7/2)^x = (7/2)^2
The only way for this to be true is if x = 2. Thus, we are done.
Answer:
61 bags of lettuce
Step-by-step explanation:
Let's create two equations representing the cost of bags of lettuce:
Val's Veggies: 250 + 1.50x = V
Sally's Salads: 100 + 4.00x = S
If you buy 60 bags of lettuce from either store, the answers will be equivalent:
If x = 60
250 + 1.50x = V
250 + 90 = V
340 = V
100 + 4.00x = S
100 + 240 = S
340 = S
Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:
x = 61
250 + 1.50x = V
250 + 91.50 = V
341.50 = V
100 + 4.00x = S
100 + 244 = S
344 = S
Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.
Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.
Answer:
C. 1/3<b<3/2
D. 1/6<x<2
Step-by-step explanation:
Hope this helps
Answer:
1+2, 1+4, 2+1, 2+3, 3+2, 3+4, 4+1, 4+3, 5+6, 5+8, 6+5, 6+7, 7+8, 7+6, 8+5, 8+7
Step-by-step explanation:
To be supplementary is to be equal to 180 degrees.
Answer:
Short leg = 6.
Step-by-step explanation:
Hypotenuse = 2x
short leg = x
long leg = x√3
Hypotenuse = 2x=12
x = 12/2
x=6
short leg = x = 6
