The midpoint of 85 and 90 is 87
Answer:
(- 16.7, 5.2 )
Step-by-step explanation:
let the coordinates of the endpoint be (x , y )
using the midpoint formula
consider the x- coordinate
(x + 1.7) = - 7.5 ( multiply both sides by 2 )
x + 1. 7 = - 7.5 ( subtract 1.7 from both sides )
x = - 16.7
consider the y-coordinate
(y - 4.6 ) = 0.3 ( multiply both sides by 2 )
y - 4.6 = 0.6 ( add 4.6 to both sides )
y = 5.2
endpoint = (- 16.7, 5.2 )
Answer:
I put the table below
Step-by-step explanation:
Find x and y values for the equation.
Put these values into a table
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Cost of each bags of flour = $2.50
Cost of each bags of butter = $3.75
Solution:
Let f be the bags of flour and b be the pounds of butter.
Cost of 20 bags of flour 16 pound of butter = 110
⇒ 20f + 16b = 110 -------------------- (1)
Cost of 30 bags of flour 12 pound of butter = 120
⇒ 30f + 12b = 120 -------------------- (2)
Equation (1) and (2) are the system of equations.
(2) ⇒ 30f + 12b = 120
Subtract 30f from both sides.
⇒ 12b = 120 – 30f
Divide by 12 on both sides.
-------------------- (3)
Substitute (3) in (1).




Subtract 160 from both sides.

Divide by –20, we get

f = 2.50
Substitute f = 2.5 in equation (3), we get


b = 3.75
Cost of each bags of flour = $2.50
Cost of each bags of butter = $3.75