I am going to use C to represent cookbook and N to represent N. I find that easier to remember which is which.
Day 1: 5C + 3N = 167
Day 2: 3C + 1N = 89
We need to solve one of these equation for either the C or N. I always choose the easiest one! Day 2 looks like the one.
3C + 1N = 89 (I am doing to solve for N because we won't have a fraction)
1N=89-3C
N=89-3C
Now we take this solution for N and put it into our first equation.
5C + 3(89-3C) = 167 (We need to distribute)
5C + 267 - 9C = 167 (Use subtraction to move C values to the right and numbers to the left)
267-167 = 9C-5C
100 = 4C
25 = C $25 for the Cookbooks.
Now, we have to go back and solve for N by putting $25 in for C in the second equation.
N=89-3(25)
N=89-75
N=14 dollars for each novel.
Check by putting both back into the first equation:
5C + 3N = 167
5(25) + 3(14) = 167. It checks out!
Answer:
15.5
Step-by-step explanation:
4c + 5g
= 4(2) + 5(1.5)
= 8 + 7.5
= 15.5
Answer: ∠DOB: 48°
Step-by-step explanation:
1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°
2. now we can solve for the missing variable, n.
108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°
3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°
hope this heped! ♡
Answer:
Step-by-step explanation:
We want to solve for 
in 
We expand to get:
We group similar terms to get:
This simplifies to 
Divide both sides by 7.8 to get
Actually, this graph has two asymptotes: a vertical one and a horiz. one.
Note that we cannot divide by zero. Thus, x = 0 is the vertical asymptote.
Note that as x continues to grow, y tends towards zero. Thus, y = 0 is the horiz. asy.
