Answer:
130 calories in the ice cream and 500 calories in the pie.
Step-by-step explanation:
Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.
4x-20=500
If we add twenty to both sides, we end up with:
4x=520
Divide both sides by four, and you get x=130.
there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.
Answer:
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The solution to the equation is p = 1/3 and q = undefined
<h3>How to solve the equation?</h3>
The equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
The best way to solve the above equation is by the use of a graphing calculator i.e. graphically
However, it can be solved algebraically too (to some extent)
Recall that the equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
Split the equation
So, we have
p^2 - 2qp + 1/q = 0
p - 1/3 = 0
Solve for p in p - 1/3 = 0
p = 1/3
Substitute p = 1/3 in p^2 - 2qp + 1/q = 0
So, we have
(1/3)^2 - 2q(1/3) + 1/q = 0
This gives
1/9 - 2/3q + 1/q = 0
This gives
2/3q + 1/q = -1/9
Multiply though by q
So, we have
2/3q^2 + 1 = -1/9q
Multiply through by 9
6q^2 + 9 = -q
So, we have
6q^2 + q + 9 = 0
Using the graphing calculator, we have
q = undefined
Hence. the solution to the equation is p = 1/3 and q = undefined
Read more about equations at:
brainly.com/question/13763238
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Answer:
y=1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6=2(y+2)
6=(2)(y)+(2)(2)(Distribute)
6=2y+4
Step 2: Flip the equation.
2y+4=6
Step 3: Subtract 4 from both sides.
2y+4−4=6−4
2y=2
Step 4: Divide both sides by 2.
2y/2 2/2
Answer:
y = -7/3x + 10
Step-by-step explanation:
Step 1: Find the slope of the perpendicular line
Do this by taking the negative inverse of the first line
m = -7/3
Step 2: Find <em>b</em>
y = mx + b
y = -7/3x + b
3 = -7/3(3) + b
3 = -7 + b
b = 10
You should get y = -7/3x + 10 as your final answer.
