Solving for X:
1) y=-8x+6.5 y=-4x+11
2) -8x+6.5=-4x+11
3) -8x=-4x+11-6.5 (Subtract 6.5 from both sides)
4) -8x+4x=11-6.5 (Add 4x to both sides)
5)-4x=4.5
5)x=-1.125
Solving for Y:
y=-8(-1.125)+6.5
y=9+6.5
y=15.5
y=-4(-1.125)+11
y=4.5+11
y=15.5
x=-1.125
y=15.5
or
(-1.125,15.5)
Seeing your method 1 answer, it seems like you forgot that 42 dollars is for 6 guests, not just 1. The unit rate is the rate per guest, and if we divide 42 by 6, we get 7dollars/1person as our unit rate. Since 7 dollars is our unit rate, we can multiply that by 72 to get 504 dollars, therefore making 500$ per night more cost effective.
Another way to do this is to do 42*72, as you did, but then dividing the final product by 6 due to that 42*72 is for 72*6=432 guests (we get the 6 since the unit rate is 7$ per person and 42/7=6). Doing that, we get 3024/6=504, which is still greater than 500
Answer:
the answer to the equation is x + 12
Step-by-step explanation:
x + 5 + 7 = x + 12
x + 12
Answer: 1/16 of a pound
Step-by-step explanation:
Here is the complete question:
Jordan bought 9/16 of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
1/16 of a pound
1/9of a pound
16/81 of a pound
81/16 pounds
From the question, we are told that Jordan bought 9/16 of a pound of sunflower seeds and then divided them equally into 9 snack bags for his lunch. To get the weight of sunflower seeds in each snack bag, we will divide 9/16 by 9 snack bags. This can be written mathematically as:
= 9/16 ÷ 9
= 9/16 × 1/9
= 1/16
The weight of sunflower seeds in each snack bag will be 1/16 of a pound.
