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:
56
Step-by-step explanation:
Answer:
the formula is 1.5x^2
Step-by-step explanation:
Since the vertex is 0,0 h and k are both 0
then you plug in the -6 and -9 to the equation
a(-6)=-9
3/2(x)^2
hope that answers your question
Answer:
Step-by-step explanation:
cows chickens legs animals
1 11 26 (1×4+11×2=4+22=26) 1+11=12
2 9 26 (2×4+9×2=8+18=26) 2+9=11
3 7 26 (3×4+7×2=12+14=26) 3+7=10
4 5 26 (4×4+5×2=16+10=26) 4+5=9
5 3 26 (5×4+3×2=20+6=26) 5+3=8
6 1 26 (6×4+1×2=24+2=26) 6+1=7
1. minimum number of animals=7
2. chickens=3
3. cows=4
chickens=5
Answer:
f[n] = n2
Step-by-step explanation:
hope it helps
