1/3 x - 1/2 = 18 1/2
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)
Answer:
Step-by-step explanation:
∩
is asking for the intersection of sets
and
, or simply, which numbers can be found in both sets.
The numbers shared between the two sets are
.
Next, we need to union this result with the set
, or simply, combine the numbers in both sets together.
This would result in 
Answer:
Carmen bought 5 pounds of coffee
Step-by-step explanation:
The cost of buying coffee is $8.44 per pound. Let us assume she bought x pound of coffee, this means that she spent $8.44x on coffee.
She went to the coffee store with $80 gift card and left with $37.80, this means that after spending $8.44x from the initial $80, she had $37.80. To find the number of pounds she bought, we are to use the following equation:
80 - 8.44x = 37.80
8.44x = 80 - 37.80
8.44x = 42.2
x = 42.2/ 8.44 = 5
x = 5 pounds.
Carmen bought 5 pounds of coffee
Two basic ways in which to do this problem:
1. Find and apply the LCD.
2. Convert all of the given numbers to their decimal form, to 2 or 3 places only.
Try #2 first:
5/6 = 0.83
4/5 = 0.80 is not between 5/6 and 1. Reject it.
4/7 = 0.57 Reject
6/7 = 0.86 This is between 5/6 and1. This is the answer.
Answer:
Step one is incorrect
Step-by-step explanation: