Answer:
Step-by-step explanation:
Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT
Since VR = length * width and height
VR = 6*x*3
VR = 18x ft³
Also VT = Length *width * Height/2
VT = (7 * x * 4)/2
VT = 28x/2
VT = 14xft³
Since VR = 32 + VT
18x = 32+(14x)
collect like terms
18x-14x = 32
4x = 32
divide both sides by 4
4x/4 = 32/4
x = 8
Volume of the rectangular prism = 18x
Volume of the rectangular prism = 18*8
Volume of the rectangular prism = 144ft³
Volume of the right triangular prism = 14x
Volume of the rectangular prism = 14*8
Volume of the rectangular prism = 112ft³
There are winnings of $50 ( 60% ), $100 ( 20% ) and $1,000 ( 2% ).
$50 * 0.6 = $30
$100 * 0.2 = $20
$1,000 * 0.02 = $20
$30 + $20 + $20 = $70
Answer: The expected payout per fan is $70.
Answer: 
Step-by-step explanation:
Let x represents the number of red roses and y represents the number of white roses.
Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.
i.e. the required inequality for this statement will be :-
No. of red roses +No. of white roses ≥ 12
i.e.
Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.
i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35
i.e.
Now, From (1) and (2) the system of inequalities represents the situation :
Answer:
Step-by-step explanation:
Well, we can divide 399 and 75 so it would be 5.32. Round that and it would be about 5 items per page
