Since neither of the bracketed expressions is preceded by a minus sign, and neither one has a multiplier outside of it, all of the parentheses can simply be removed.
<span>(3x - 5) + (3x + 6)
3x - 5 + 3x + 6
Combine the 'x'-terms: 3x + 3x = 6x
Combine the numbers: -5 + 6 = 1
The expression is equivalent to . . . . . <u>6x + 1</u>
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Answer:
The area of the new reduced parallelogram after dilation is 8 cm^2
Step-by-step explanation:
Mathematically, the area of a parallelogram = b * h
before dilation, area of the parallelogram = 8 * 4 = 32 cm^2
After dilation by a factor of 1/2, the base of the parallelogram becomes 1/2 * 8 = 4cm while the height becomes 1/2 * 4 = 2cm
Thus, the area of the dilated parallelogram is 4 * 2 = 8 cm^2
Answer:
C. Omar walks 22 and one-half blocks to school every day.
Step-by-step explanation:
i took the test
Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
Answer: See explanation
Step-by-step explanation:
Your question isn't complete as you didn't give the sales tax percent. In order to solve the question, let's assume that the sales tax is 6%.
(a) What is the amount of sales tax that Mr. Speer has to pay?
This will be:
= Sales tax percent × Amount charged
= 6% × $300
= 6/100 × $300
= 0.06 × $300
= $18
The sale tax is $18
(b) What is the total amount Mr. Speer has to pay?.
The total amount will be the addition of the amount charged and the sales tax. This will be:
= $300 + $18
= $318
