Answer:
32
Step-by-step explanation:
To answer this question, you have to divide 2,176 by 68.
Answer:
3
Step-by-step explanation:
area = l^2 = 9
so,l = 
= 3
Answer: Yes they can
Step-by-step explanation:
Use Pythagoras rule c²=b²+a²
b²=209
c²=15²=225
a²=4²=16
209+16=225
Answer:
There are two intersections
Step-by-step explanation:
The number of intersections can be found by calculating the delta of the equation
Δ=b²-4ac
if Δ=0, there is 1 intersection
if Δ>0 there are 2 intersections
if Δ=<0, there are no intersections
where the quadratic equation is in the form ax²+bx+c
Δ=7²-4(2)(6)
=1>0
There are two intersections
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>
