Answer:
392m^2
Step-by-step explanation:
as the length = diameter of the circular park
then
Area = length * width = 56 * 7 = 392m^2
Team A: 15 points
Team B: 3 points
Team A has twelve more points than Team B:
A = B + 12
Team A has five times as many points as Team B:
A = B × 5
A = 5B
substitute "A" with "B + 12" to solve for B:
A = 5B
(B + 12) = 5B
B + 12 = 5B
12 = 5B - B
12 = 4B
3 = B
Team B has 3 points
now substitute "B" with 3 to solve for A:
A = 5B
A = 5(3)
A = 15
Team A has 15 points
Check your answer by inputting both values into either equation:
A = 5B
(15) = 5(3)
15 = 15 ✔
A = B + 12
(15) = (3) + 12
15 = 15 ✔
Answer:
the value of
such that there is no solution to the equation is
.
Step-by-step explanation:
Let first simplify the expression presented on statement. The equation has no solution if and only if
is eliminated in the process and an absurd is the result (i.e.
).






To obtain an absurd, we need that
. Hence, the value of
such that there is no solution to the equation is:

Let prove the certainty of the result. We find that an absurd exist: (
)

Answer:
$15.35
Step-by-step explanation:
Brush = $10.50
Paint = $22.50
Sales tax = (10.50 + 22.50) x 0.05 = $1.65
Add up all the money Jen needs to pay = 10.50 + 22.50 + 1.65 = $34.65
Jen paid with a $50 bill so subtract 34.65 from 50 to get $15.35