Answer:
1
Step-by-step explanation:
The slope of this line is -1 or -1/1, and to find the perpendicular slope you find the opposite of the reciprocal, which in this case would be 1/1 which simplifies to 1.
The answer is going to be A
Answer:
see below
Step-by-step explanation:
2/3 ÷ 4
We use copy dot flip
The flip means make a reciprocal of the second number
2/3 * 1/4
Multiply the numerators
2*1 = 2
Multiply the denominators
3*4 =12
Put the numerator over the denominator
2/12
Simplify
1/6
First, let's cancel out the x by multiplying 2x + 18y = -9 by -2.
-2 ( 2x + 18y = -9) = -4x -36y = 18
Then, we combine the two equations.
-4x + 4x = 0
18y - 36y = -18y
-27 + 18 = -9
Our new equation is -18y = -9.
Now, divide both sides by -18.
-18y / -18 = y
-9/ -18 = 1/2
y = 1/2
We can plug in a value for y since y = 1/2 now.
Let's use 2x + 18y = -9
Plug in y.
2x + 18(1/2) = -9
2x + 9 = -9
Then, subtract 9 from both sides.
2x = -18
Divide by 2.
2x/2 = x
-18/2 = -9
x = -9
Lastly, we can plug in both x and y values to see it works.
2(-9) + 18(1/2) = -9
-18 + 9 = -9
Therefore, the values of x and y does work.
x = -9
y = 1/2
Answer:
price of each bags of popcorn = $9.75
price of each drinks = $5
Step-by-step explanation:
Let
price of each bags of popcorn = a
price of each drinks = b
Caleb total cost
7a + 2b = 78.25.......(i)
Jeremiah total cost
a + 10b = 59.75.......(ii)
7a + 2b = 78.25
a + 10b = 59.75
a = 59.75 - 10b
insert the value of a in equation (i)
7a + 2b = 78.25
7( 59.75 - 10b) + 2b = 78.25
418.25 - 70b + 2b = 78.25
418.25 - 68b = 78.25
418.25 - 78.25 = 68b
340 = 68b
b = 340/68
b = 5
Insert the value of b in equation (ii)
a + 10b = 59.75.......(ii)
a + 10 × 5 = 59.75
a = 59.75 - 50
a = 9.75
price of each bags of popcorn = $9.75
price of each drinks = $5
