Age 1: 2
3
Question 1 (1 point)
Marcel bought 4 pieces of pizza and 2 brownies from the concession stand and paid
$18.50. Morgan bought 3 pieces of pizza and two brownies and paid $14.25. Find
the cost of one brownie.
5
6
$0.75
8
9
$3.50
$5.00
11
12
$4.25
Question 2 (1 point)
Cole went to the store and bought pants and shirts. He bought a total of 12 items
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The cost of one brownie is $0.75

Step-by-step explanation:

The given parameters are;

The number of pizza's Marcel bought = 4 pieces

The number of brownies Marcel bought = 2 brownies

The amount Marcel paid = $18.50

The number of pizza's Morgan bought = 3 pieces

The number of brownies Morgan bought = 2 brownies

The amount Morgan paid = $14.25

Let x represent the cost of a pizza and y represent the cost of a brownie, we have;

4·x + 2·y = $18.50...(1)

3·x + 2·y = $14.25...(2)

Subtracting equation (1) from equation (2) gives;

4·x + 2·y - (3·x + 2·y) = $18.50 - $14.25 = $4.25

4·x - 3·x + 2·y - 2·y = $4.25

x = $4.25

The cost of a pizza = x = $4.25

4·x + 2·y = $18.50

2·y = $18.50 - 4·x = $18.50 - 4×$4.25 = $1.5

y = $1.5/2 = $0.75

y = $0.75

The cost of a brownie = $0.75

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204