The formula for volume is Length x width x height.
Bottom: 18 * 12 * 8 = 1728 cubic centimeters.
Middle: 12 * 8 * 6 = 576 cubic centimeters.
Top = 4 *4*4 = 64 cubic centimeters.
Total: 1728 + 576 + 64 = 2368 cubic centimeters.
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
Answer:
$50
Step-by-step explanation:
Weekly paycheck to be deposited = 70%
This week's deposit = $35
Therefore, we have to determine how much is Alex weekly paycheck.
To find this, we have to use unitary method.
According to the Question
Total weekly paycheck = (total deposit/ percentage to be deposited)
Therefore, Weekly paycheck = ($35/70%)
Weekly paycheck = $50.
It means Alex gets $50 per week.
T= total cost
n= number of days
Total cost equals the cost per day times the number of days plus the fee.
T= $39n + $65
substitute 5 for n
T= 39(5) + 65
T= 195 + 65
T= $260 total cost
Hope this helps! :)
