Answer:
The value of x is 27
because 2 times 27 equals 54 minus 7 equals 47
Answer:
D. N = w² + 8w + 12
Step-by-step explanation:
The current size is w by w+4, so the area is ...
A = w(w+4)
When each dimension is increased by 2, the new size is (w+2) by (w+4+2). The latter dimension can be simplified to (w+6). Now, the new area is ...
N = (w+2)(w+6) = w² +8w +12 . . . . . . . matches choice D
Answer:
Step-by-step explanation:
speed = 240 miles/(6 hours) = 40 miles/hour
360 miles × 1 hour/(40 miles) = 9 hours
Answer: r - 5 = 8
Step-by-step explanation:
From the question, we are informed that Skye ran r laps today at soccer practice while Nadine ran five fewer laps than Skye.
If Nadine ran eight laps at practice, the equation that can be used to find how many laps Skye ran will be:
r - 5 = 8
This means Skye ran 13 laps
Answer:Smaller value is 4 yards.
The larger value is 6 yards.
Step-by-step explanation:
Let L represent the length or larger value of the rectangular plot.
Let W represent the width or smaller value of the rectangular plot.
The area of the rectangular field is expressed as
LW = 24 - - - - - - - - - - 1
The formula for determining the perimeter of the rectangular fence is expressed as
2(L + W) = 20
L + W = 20/2 = 10
Substituting L = 10 - W into equation 1, it becomes
W(10 - W) = 24
10W - W² = 24
W² - 10W + 24 = 0
W² - 6W - 4W + 24 = 0
W(W - 6) - 4(W - 6) = 0
W - 4 = 0 or W - 6 = 0
W = 4 or W = 6
Substituting W = 4 and W = 6 into
L = 10 - W, it becomes
L = 10 - 4 or L = 10 - 6
L = 6 or L = 4