Answer: y+7 = 3(x-5) A
Step-by-step explanation: Plug in the points into y-y1= m(x-b)
Answer:
C.
Step-by-step explanation:
In total, Sophie needs $230.40.
Let's form an equation. 230.40 = 12.80x
You'll need to divide both sides by 12.80 to get the variable, x, by itself.
18 = x
Therefore the answer is C.
Answer:
we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
Step-by-step explanation:
let the 20% solution = x liters
let the 50% solution = y liters
total solution of the mixture of the two solutions in % = 28%
total solution of the mixture of the two solutions in liters = 75 liters
considering the total solutions given, we will have the following equations if we mix the solutions in equal proportion;
20x + 50y = 28 (75)
0.2x + 0.5y = 0.28(75)
0.2x + 0.5y = 21 -------equation 1
Also,
x + y = 75 ------equation 2
y = 75 - x
(substitute this into equation 1)
0.2x + 0.5(75 - x) = 21
0.2x + 37.5 - 0.5x = 21
0.2x - 0.5x = 21 - 37.5
-0.3x = -16.5
x = -16.5 / -0.3
x = 55 liters
Recall, y = 75 - x
y = 75 -55
y = 20 Liters
Thus, we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
Answer:
400 feet long
50 feet wide
Step-by-step explanation:
Length = l
Width = w
2l + 2w = 900
l = 8w
Plug the l from the bottom equation into the top equation
2 x 8w+ 2w = 900
16w = 900
Divide both sides by 16
16w/16 = 900/16
w = 50
The width is 50 feet
Now plug the new w into one of the original equations; we'll use the bottom one
l = 8(50)
l = 400
Answer:
4
Step-by-step explanation:
Multiply both sides by 7.
5s+8=28
Subtract 8 from both sides.
5s=20
Divide 5 from both sides,
s=4
