Answer:
slope = 0
Step-by-step explanation:
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (4, - 1 ) and (x₂, y₂ ) = (3, - 1 )
m = 
= 
= 
= 0
Call the notebooks x, and the pencils y.
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>
<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>
<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>
<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>
<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>
<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>
<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
Answer:
Step-by-step explanation:nsshs
Answer:
(4,4)
Step-by-step explanation:
The intersection point of 10y-11x=-4 and -2y+3x=4 is (4,4) on a graph.
15% of 8quarts and 90% of 8 quarts = x% of 16 quarts
0.15 x 8 quarts + 0.90 x 8 quarts
=1.2 quarts + 7.2 quarts
= 8.4 quarts
8.4 quarts/16 quarts
= (8.4)/(16)
= 0.525
= 52.5%
ONLY because the solutions are 50-50 we could have averaged the percentages (15 + 90)/2 = 52.5
