Answer:
its A because the Y intercept is at 3
∣2x+7∣ for x=-4
Use the substitution method
∣2*-4+7∣
Mutiply first then add +7
∣2*-4∣= -8
∣-8+7∣= -1
Whenever there is a negative number for absolute value , the number becomes a + positive number.
∣-1∣= 1
Answer:
1
Answer:
4 blu-rays
Step-by-step explanation:
*Note: I'm rounding up to full dollars to make this easier. You will get the same answer, whether you round up or not.
First, get rid of the shipping cost from the budget.
$150 - $10 = <u>$140 left for blu-rays</u>
Then divide $140 by $30, which is the price for a single blu-ray to get the number of blu-rays Chris can get.
$140 ÷ $30 ≈ 4.6 repeating. You can't have a fraction of a movie, so Chris can get 4 blu-rays
Answer:
180 Vertical angles are opposite angles that share only a vertex. Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.
This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.
B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127
We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y
In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5
x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5
So the cost of each student is $3.5, and the cost of each teacher is $5.
Hope this helps! :)
