Answer:
Step-by-step explanation:
The key to answering this question is combining like terms. Add or subtract the terms that have the same variable.
1) Let's start with finding all the terms that have a b and combine them - those terms would be -4b and -8b. Add their coefficients (the numbers in front of the variable).
2) Next, let's do the same with all the terms that have a c. In this case, those terms would be 8c and -2c. So, add their coefficients too:
2) Finally, combine the constants (the terms with no variables). Those numbers would be 12 and 6.
Thus, the answer is .
The question is incomplete:
An artist pays an art show director $ 86 to reserve a booth at the show and $ 15 per painting sold at the show. Which statement is true?
a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.
b. The expression 15 p + 86 represents the total number of paintings, p , the artist sells at the art show.
c. The expression 86 p + 15 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.
d. The expression 86p+15 represents the total number of paintings, p, the artist sells at the art show.
Answer:
a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.
Step-by-step explanation:
With the information provided, you can say that the total amount the artist pays for selling a certain number of paintings is equal to the result of multiplying the price per painting for the number of paintings plus the amount to reserve a booth at the show. So, the expression that represents this situation 15p+86. According to this, the answer is the expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.
Answer:
what do you need solved
Step-by-step explanation:
W= width
L= length= 2W-4
Perimeter= 70
FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W
FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22
CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70
ANSWER:
length= 22 inches
width= 13 inches
Hope this helps! :)
