case a) we have that
<span>x + (2x + 40) + (3x – 50) = 15,002
</span>
Reorder the terms:
(x+2x+3x)+(40-50)=15,002
Combine like terms:
x+2x+3x=6x
40-50=-10
6x-10=15,002
adds +10 both sides
6x-10+10=15,002+10
Combine like terms:
-10+10=0
15,002+10=15,012
6x=15,012
divide by 6 both sides
x=15,012/6
x=2,502
the answer is
x=2,502
case b)
we have that
X + (2x + 40) + (3x – 50) = 15,002
Reorder the terms:
X + (40 + 2x) + (3x + -50) = 15002
Remove parenthesis around (40 + 2x)
X + 40 + 2x + (3x + -50) = 15002
Reorder the terms:
X + 40 + 2x + (-50 + 3x) = 15002
Remove parenthesis around (-50 + 3x)
X + 40 + 2x + -50 + 3x = 15002
Reorder the terms:
40 + -50 + X + 2x + 3x = 15002
Combine like terms:
40 + -50 = -10
-10 + X + 2x + 3x = 15002
Combine like terms:
2x + 3x = 5x
-10 + X + 5x = 15002
Solving
-10 + X + 5x = 15002
Solving for variable 'X'
.
Move all terms containing X to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + X + 10 + 5x = 15002 + 10
Reorder the terms:
-10 + 10 + X + 5x = 15002 + 10
Combine like terms:
-10 + 10 = 0
0 + X + 5x = 15002 + 10
X + 5x = 15002 + 10
Combine like terms:
15002 + 10 = 15012
X + 5x = 15012
Add '-5x' to each side of the equation.
X + 5x + -5x = 15012 + -5x
Combine like terms:
5x + -5x = 0
X + 0 = 15012 + -5x
X = 15012 + -5x
Simplifying
X = 15012 + -5x
the answer is
X=15,012-5x
Answer:
Unit of slipperiness =
Step-by-step explanation:
We are given the following information in the question:
The slipperiness of a floor is defined with the help of function:
where S is the slipperiness of the floors, P is the number of banana peels on the floor and A is the area of the floor.
Now, area of floor has units of meter squared that is,
We have to find the appropriate measurement unit for slipperiness of a floor.
This can be done as:
Thus, slipperiness have a unit of peels per meter squared that is,
Yes because there is not a number that can go in each number evenly. 53 is an odd number.
24 markers for $1.20 has a unit price of 5c per marker. 36 markers for $1.79 has a unit price of 4.97c so brand b is better value.
Step-by-step explanation:
let equation be y = mx + b.
m = (9- (-3))/(-4 - 2) = -2
sub (2, -3):
-3 = -2(2) + b
b = 1
therefore equation of the line is y = -2x + 1
Topic: coordinate geometry
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