Answer:
All real numbers
Step-by-step explanation:
4(x+1) = 4x+4
Distribute
4x+4 = 4x+4
Subtract 4x from each side
4x+4-4x = 4x+4-4x
4=4
This is always true so there are infinite solutions
Answer:
-0.5x² + 20x + 100
Step-by-step explanation:
Given:
R = 25x - 0.5x²
C = 100 + 5x
P = R - C
Where,
P = profits
R = Revenue
C = Cost
which expression represents her profit in dollars?
P = R - C
R = 25x - 0.5x²
C = 100 + 5x
= 25x - 0.5x² -(-100 + 5x )
= 25x - 0.5x² + 100 - 5x
= -0.5x² + 20x + 100
The expression which represents her profit in dollars is -0.5x² + 20x + 100
Ava bought 
pounds of fruit for a class party , class ate 
pounds fruits then 
pounds fruit left after party.
How can we find how much fruit is left after party ?
Ava bought 
pounds fruit
ate by class 
pounds fruit
fruit left after party 
So pound fruit is left .
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The expression for the number of painted turtles in the pond will be 1/3f - 10.
Let the number of bullfrogs be represented by f.
From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:
= (1/3 × f) - 10
= 1/3f - 10
Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.
In conclusion, the correct option is 1/3f - 10.
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Answer:
admission price of each parent = $7.5
admission price of each child = $15
Step-by-step explanation:
x = admission price of each parent
y = admission price of each child
Robinson family:
2x + 4y = 75
Moore family:
2x + 3y = 60
2x + 4y = 75 (1)
2x + 3y = 60 (2)
Subtract (2) from (1)
4y - 3y = 75 - 60
y = 15
Substitute y = 15 into (1)
2x + 4y = 75
2x + 4(15) = 75
2x + 60 = 75
2x = 75 - 60
2x = 15
x = 15/2
x = 7.5
