Answer:
7th week
Step-by-step explanation:
Let us represent the number of weeks as x
Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.
$500 - $20× x
500 - 20x
Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.
$150 + $30 × x
150 + 30x
At what week will both Jill and Sam have the same amount in their account?
We solve this be Equating both Equations together
Jill = Sam
500 - 20x = 150 + 30x
Collect like terms
500 - 150 = 30x + 20x
350 = 50x
Divide both sides by 50
50x/50 = 350/50
x = 7 weeks
Therefore, at the 7 week, Jill and sam would have the same amount in their accounts
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 18 so the radius is 1/2 d = 1/2(18) = 9
V = pi (9)^2 (8)
V =648 pi
Letting pi = 3.14
V = 648(3.14)
V =2034.72
Rounding to the tenths place
V =2034.7 ft^3
If you use the pi button
V = 2035.75204
Rounding to the tenths place
V =2035.8
A'(3, 2 ), B'(6, 6 ),C'(6, - 3 )
A translation of 2 units right is equivalent to adding 2 to the x- coordinate with no change to the y- coordinate.
A(1, 2 ) → A'(1 + 2, 2 ) → A'(3, 2 )
B(4, 6 ) → B'( 4 + 2, 6 ) → B'(6, 6 )
C(4, - 3 ) → B'(4 + 2, - 3 ) → B'(6, - 3 )
Answer:
He does not divide the numerator and the denominator by the same number. Nicholas divides 20 by 5 and 30 by 6. He ought to have divided 30 by 5 as well and then simplified.
P.S. Nicholas should have just divided both 20 and 30 by 10 to simplify in one step
x = number of hours after 9 am (eg: x = 1 means 1 hr after 9 am, so 10 am)
f(x) = population count x hours after 9 am
f(1) = population count at 10 am (1 hour later)
f(2) = population count at 11 am (2 hrs after 9 am)
f(2) - f(1) represents the difference in population counts from 10 am to 11 am, or put another way, how much the population increased during that time interval.
