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:
false.
Step-by-step explanation:
I assume that 3y2 and 7y3 are 3y^3 and 7y^2(exponents)
Answer:
The domain: {-3, 0, 3}
The range: {-6, 0, 6}
Therefore, option (a) is correct.
Step-by-step explanation:
Given the table
x -3 0 3
y -6 0 6
Determining the Domain:
- We know that the domain of a relation is the set of all the x-values of the set X.
- In other words, the domain of relation consists of all the input values.
Therefore, the domain: {-3, 0, 3}
Determining the Range:
- We know that the range of a relation is the set of all the y-values of the set Y.
- In other words, the range of relation includes all the output values.
Therefore, the range: {-6, 0, 6}
Therefore, we conclude that option (a) is correct.
Answer:
B) 44
Step-by-step explanation:
x + 54 + 82 = 180
x + 136 = 180
x = 180 - 136
x = 44
6 ft
Step-by-step explanation:
We’ll use the trigonometric rule of SOHCAHTOA;
Well use <em>TOA</em> – since we know the value of the adjacent side and we are evaluating for the opposite side;
Tan Φ = Opposite / Adjacent
Tan 36 = x / 8
x = Tan 36 * 8
x = 5.81234
x = 6 ft
