Answer:
x=−2
Step-by-step explanation:
Combined in mathematics is to add together to find a total. If you combine 1 and 2 you get 3.
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12
Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
Answer:
c = 4
Step-by-step explanation:
Simplifying
3c + 6 = 18
Reorder the terms:
6 + 3c = 18
Solving
6 + 3c = 18
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3c = 18 + -6
Combine like terms: 6 + -6 = 0
0 + 3c = 18 + -6
3c = 18 + -6
Combine like terms: 18 + -6 = 12
3c = 12
Divide each side by '3'.
c = 4
Simplifying
c = 4
Answer:
When you fill in the blanks you get ($0.25*x)+(0.1*y)+(0.05*z). When you evaluate it you get $1.35, which is the total amount of change in her pocket.
Step-by-step explanation:
All of the numbers that are given in the equation are values of the coins (ex: a quarter is worth $0.25) and the variables are the different coins. Multiply the quantity of each coin (that's the variable) by its value then add them together. Finally, plug in the numbers it gives you for x, y, and z.
