<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>
Answer:
348
Step-by-step explanation:
9x8=72
9x6=54
8x6=48
72+72=144
54+54=108
48+48=96
144+108=252
252+96=348
Hence, counting the WHOLE surface are of the rectangular prism, the answer is 348
Answer:
The customer saves 5.9 - 5.5 = $0.5
when he shops at store B
Step-by-step explanation:
Stores A and B sells bananas at different prices per pound.
Bananas are being sold for $0.59 a pound at Store A and $0.55 a pound at Store B.
If a customer wants to buy 10 pounds of bananas from store A and store B,
The customer would spend 0.59 × 10 pounds of bananas = $5.9
buying from store A and
The customer would spend 0.55 × 10 pounds of bananas = $5.5
buying from store B.
The customer spends more for 10 pounds of bananas if he buys from shop A.
The customer saves 5.9 - 5.5 = $0.5
when he shops at store B
Answer:
box contains - 3
Step-by-step explanation:
a(x - 3) + 2x = -(x - 5) +4 Remove the brackets on both sides
ax - 3a + 2x = -x + 5 + 4 Subtract 2x from both sides.
ax - 3a + 2x - 2x = -x - 2x + 9
ax - 3a = - 3x + 9
ax - 3(-3) = - 3x + 9
ax + 9 = - 3x + 9
Now if you make a = -3 then both sides with have - 3 for the x coefficient.
Any number could be put in for x and it will make the answer on both sides equal. Notice you could subtract 9 from both sides and it will not change the condition of the problem.