Answer:
A plain pizza is $10.50 and a pepperoni pizza is $12.50
Step-by-step explanation:
Create a system of equations where x is the price of a pepperoni pizza and y is the price of a plain pizza:
3x + 2y = 58.5
2x + 4y = 67
Solve by elimination by multiplying the top equation by -2:
-6x - 4y = -117
2x + 4y = 67
Add these together and solve for x:
-4x = -50
x = 12.5
So, a pepperoni pizza is $12.50. Plug in 12.5 as x into one of the equations, and solve for y:
2x + 4y = 67
2(12.5) + 4y = 67
25 + 4y = 67
4y = 42
y = 10.5
So, a plain pizza is $10.50.
A plain pizza is $10.50 and a pepperoni pizza is $12.50
Area of a triangle = 1/2 x base x height
using the given information: area = 40 and base = 20
you now have 40 = 1/2 x 20 x height
divide both sides by 1/2
80 = 20 x height
divide both sides by 20
height = 80 / 20
height = 4 in.
<span>D) wind and solar are continuously renewable and fossil fuels take millions of years to be renewed.
There is wind and sun (solar) daily
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Answer:
the y-intercepts differ
Step-by-step explanation:
The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.
The graphs differ in their intercepts.
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<em>Additional comment</em>
g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.
The equation simplified (combine like terms) would be 11x+(-24) =180.
Since adding a negative is the same as subtracting a positive, you could also write it as this: 11x-24=180. Next step is isolate the variable, so to do that you need to add 24 to both sides of the equation: 11x-24+24=180+24. This is the same as 11x=204. Now to get only one of the variable, you need to divide both sides by 11. x=18.54 repeating or x=18 6/11. Hope this helped!
