Answer:
Step-by-step explanation:
B
whether the negative sign is next to the fraction bar or next to the numerator, it doesnt matter.
A results in the last number being different from the one in the question.
answer is B
Answer:
y = 40
Step-by-step explanation:
For #7, we are told that y = 10 when x = 2
We are also told that 'y varies directly as x'. That means there is some constant number, k, so that
Formula --> y = kx
Since y=10 and x= 2, we substitute those numbers into the formula.
We get 10 = k × 2.
So k has to be 5, right?
k = 5
So what is y when x = 8?
Use the formula.
y=kx ---> That gives us y = k × 8. But we know k is 5.
So y = 5 × 8 = 40
y = 40
22a) Matts' weekly fee is $7.50. We know this is by looking at the Y-axis. If he doesn't sell any books at the beginning of the week, his earnings are at -$7.50. We can assume that he pays that much for internet fee.
22b) Matt makes $1.50 for each book he sells. We know this because if you look at (5,0) and then the next one (6, 1.5), we see that his Y-value has increased by $1.50, which is equal to one book because 6 - 5 = 1 book.
22c) y = 1.5x - 7.5
22d) I'm going to assume that question means $30 in profit. Let's plug in the 30 in the equation. 30 = 1.5x - 7.5. Simplify.
Matt has to sell 25 books to make $30
Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
