Answer:
1359.54m^3
Step-by-step explanation:
The formula for the volume of a triangular prism is:
1/2(
<em>b= base </em>
<em>l = length</em>
<em>h</em><em>= </em><em>height</em>
Step 1: Plug the numbers into the formula
1/2(12.6*13)*16.6
Step 2: Simplify
163.8*16.6
1359.54
Step 3: Add units
The units used in the question were in meters, so the answer is also in meters.
Volume is always cubed, so it would be to the third power...1359.54m^3
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Add the last two equations to eliminate <em>x</em> :
(<em>x</em> - 2<em>y</em> - 3<em>z</em>) + (- <em>x</em> + <em>y</em> + 2<em>z</em>) = 0 + 3
- <em>y</em> - <em>z</em> = 3
<em>y</em> + <em>z</em> = -3
Subtract this from the first equation to eliminate <em>z</em>, then solve for <em>y</em> :
(2<em>y</em> + <em>z</em>) - (<em>y</em> + <em>z</em>) = -8 - (-3)
<em>y</em> = -5
Plug this into the first equation to solve for <em>z</em> :
2(-5) + <em>z</em> = -8
<em>z</em> = 2
Plug both of these into either the second or third equations to solve for <em>x</em> :
<em>x</em> - 2(-5) - 3(2) = 0
<em>x</em> = -4
The answer is thanks a lot
Answer:
The cost is the same after 15 video rentals
Step-by-step explanation:
Let the total cost be y
Let the number of video rentals made be x
Discount card for Big video = $9.99
Discount card for Main Street video = $20.49
Cost of 1 big video rental = $2.49
Cost of 1 Main Street video rental = $1.79
Cost of video rentals with big video:
Y = 9.99 + 2.49x………….(1)
Cost of video rentals with main street video
:
Y = 20.49 +1.79x…………(2)
For the two costs to be equal, the two equations have to be equal to each other
Equating equations (1) and (2)
9.99 + 2.49x = 20.49 +1.79x
0.7x = 10.5
X = 10.5/0.7
X = 15 video rentals
So he needs to sell $2,000 in merchandise.
<h3>what is the total value of merchandise he needs to sell?</h3>
We can assume that we have a proportional relation:
y = k*x
Where y is the commission and x is what Norman sells, then:
$15 = k*$200
k = $200/$15 = 0.075
$37.50 = k*$500
k = $500/$37.50 = 0.075
Then the relation is:
y = 0.075*x
If he wants a commission of $150, then:
$150 = 0.075*x
$150/0.075 = x = $2,000
So he needs to sell $2,000 in merchandise.
If you want to learn more about proportional relationships:
brainly.com/question/12242745
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