Solve the following equation
3.75(2848-s)+2.50s=10078.75
Solve for s
3.75(2848 - s) + 2.50s = 10078.75
Simplify by removing parenthesesSimplify 3.75(2848 - s):
Distribute the 3.75 to each term in (2848-s)
3.75 * 2848 = (3.75 * 2848) = 10680
3.75 * -s = (3.75 * -1)s = -3.75s
Our Total expanded term is 10680-3.75s
Our new term is
10680 - 3.75s + 2.50s = 10078.75
Simplify by removing parentheses
Our new term is
10680 - 3.75s + 2.50s = 10078.75
Group the s terms on the left:
(-3.75 + 2.5)s = -1.25s
Form modified equation
-1.25s + 10680 = + 10078.75
Divide each side by 10680
| 10680s | |
| 10680 |
| = |
| -3.75 |
| 10680 |
Group constants
Group our constants 10680 and 10078.75.
subtract 10680 from both sides
-1.25s + 10680 - 10680 = 10078.75 - 10680
Cancel 10680 on the left side:
-1.25s = -601.25
Divide each side of the equation by -1.25
| -1.25s | |
| -1.25 |
| = |
| -601.25 |
| -1.25 |
s = 481
Final Answer
s = 481
Common Core State Standards In This Lesson
6.EE.B.5, 6.EE.B.7, 8.EE.A.2, 8.EE.C.7.B, HSA.CED.A.1, HSA.REI.A.1, HSA.REI.A.2, HSA.REI.B.3, HSA.REI.B.4.B
What is the Answer?
s = 481
How does the Equation and Inequalities Calculator work?
Free Equation and Inequalities Calculator - Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences and it will solve one step problems and two step equations. 2 step equations and one step equations and multi step equations
This calculator has 1 input.
This calculator has 1 input.
What 3 formulas are used for the Equation and Inequalities Calculator?
One Step Equations (Division):
cx = b
x = b/c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
What 4 concepts are covered in the Equation and Inequalities Calculator?
- equation
- a statement declaring two mathematical expressions are equal
- equation and inequalities
- unknown
- a number or value we do not know
- variable
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