<span>
<span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>
<span><span>2n = -3m + 280
</span>
</span><span>n = -3/2
m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>
<span><span>2n = -5m + 320
</span>
</span><span>n = -5/2m + 160
</span><span><span>
so now you have
</span>-3/2m + 140 = -5/2m + 160 </span>
<span><span>Rearrange to become:
</span>
</span><span><span>-3/2m + 5/2m = 160 - 140
</span>
</span><span>m = 20
</span><span>
</span>
<span>Now place 20 into the very 1st</span><span><span> equation in place
of the letter m
</span>
</span><span><span>2n + 3(20) = 280
</span>
</span><span><span>2n + 60 = 280
</span>
</span><span><span>2n = 220
</span>
</span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>
Justin’s fence will cost $72.
24ft = 24(12)
24(12) = 288 inches of fencing
288 (0.25) = $72
Answer: 7°
Explanation:
FBD = EBC
2x + 3 = 9x - 11
-7x = -14
x = -14/-7
x = 2
EBC = 9(2) - 11 = 18 - 11 = 7°
Answer:
x= -1
Step-by-step explanation:
First, distribute the -3 through the parentheses
4x-8= -3(2x+6)
= 4x-8= -6x-18
Second, move the variable to the left-hand side and change its sign
4x+6x= -18+8
10x= -10
Divide both sides by 10
x=-1