Answer:
He earn $40
Step-by-step explanation:
To solve this problem, we first have to calculate how much it spends to make each pie
cups of fruit = 5
5 * $0.75 = $3.75
This means that per pie he spends $ 3.75 on cups of fruit and $ 2.50 on pie crust
If we add them together we will get how much he spends for each pie
$3.75 + $2.50 = $6.25
Now to the price that the pie sells we subtract this value to know how much you earn for each pie
$10.25 - $6.25 = $4
if he sold 10 pies we multiply this number by 10 and we will get his total profit
$4 * 10 = $40
He earn $40
The heights of plant A and plant B will be equal on the day 8.
<h3>How to find the heights of the trees?</h3>
The height of the tree can be found as follows:
The equation for plant A can be described as follows:
y = 1 + 0.5x
where
x = number of days
y = height
The equation for plant B can be described as follows:
y = 3 + 0.25x
Therefore, for the height to be equal
1 + 0.5x = 3 + 0.25x
1 - 3 = 0.25x - 0.5x
-2 = -0.25x
x = 2 / 0.25
x = 8 days
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4/5 = 8/10 = 12/15 = 16/20 = 20/25
Hope it helps
Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.
<h3>How to Write the Equation of a Linear Model Function?</h3>
The equation that can represent a linear model function is, y = mx + b, where m is the unit rate and b is the initial value.
Equation for Rink A:
Unit rate (m) = (35 - 19)/(5 - 1) = 16/4 = 4
Substitute (x, y) = (1, 19) and m = 4 into y = mx + b to find b:
19 = 4(1) + b
19 - 4 = b
b = 15
Substitute m = 4 and b = 15 into y = mx + b:
y = 4x + 15 [equation for Rink A]
Equation for Rink B:
Unit rate (m) = (39 - 15)/(5 - 1) = 24/4 = 6
Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:
15 = 6(1) + b
15 - 6 = b
b = 9
Substitute m = 6 and b = 9 into y = mx + b:
y = 6x + 9 [equation for Rink B]
To find how many hours (x) both would cost the same (y), make both equation equal to each other
4x + 15 = 6x + 9
4x - 6x = -15 + 9
-2x = -6
x = 3
The hours Jeremy wants to skate is 3.
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