Answer:
let x = the amount of orange juice in a full glass.
the glass is 1/6 full = 1/6 * x
add 95 cubic centimeters and the glass becomes 4/5 full.
equation for that is:
1/6 * x + 95 = 4/5 * x
subtract 1/6 * x from both sides of this equation to get:
95 = 4/5 * x - 1/6 * x
multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:
95 = 24/30 * x - 5/30 * x
combine like terms to get 95 = 19/30 * x
multiply both sides of the equation by 30/19 to get:
30/19 * 95 = 30/19 * 19/30 * x
simplify to get:
30/19 * 95 = x
solve for x to get x = 150.
the volume of the glass is 150 cubic centimeters.
1/6 * 150 = 25
4/5 * 150 = 120
the difference between 4/5 full and 1/6 full is 95 cubic centimeters.
solution is that the volume of the glass is 150 cubic centimeters.
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are asked to find the midpoint of a segment. We essentially calculate the average of the x-coordinates and the y-coordinates using the following formula.
In this formula, (x₁ , y₁) and (x₂ , y₂) are the endpoints of the segment. For this problem, the 2 endpoints are (-12, 12) and (-6, -1). If we match the variable and the corresponding value, we see that:
- x₁= -12
- y₁= 12
- x₂ = -6
- y₂ = -1
Substitute the values into the formula.
Solve the numerators.
- -12 + -6 = -12 -6 = -18
- 12 + -1 = 12-1 = 11
Divide.
The midpoint of the segment is 
.
Just divide
3/4 = 0.75
4 teachers, and only 3 gallons of paint
1 less gallon of paint, so each teacher should get less than a whole.
0.75 gallons of paint per teacher
Yes i do think so that you are right about this question
