An expression is defined as a set of numbers, variables, and mathematical operations. The second student is correct.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given One student simplified x⁵ + x⁵ to x¹⁰. The second student simplified x⁵+x⁵ to 2x⁵. Since the simplification of (x⁵+x⁵) is equal to 2x⁵. Therefore, the second student is correct.
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I'm not sure if this is a multiple choice question, so I will just solve the equation.
-5 (4x - 7) + 8 = 3x
-5 (4x + (-7)) + 8 = 3x
1. Distributive Property of Multiplication
(-5)(4x) + (-5)(-7) + 8 = 3x
2. Simplify
-20x + (-35) + 8 = 3x
3. Simplify again
-20x - 27 = 3x
4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side
-20x - 27 + 27 = 3x + 27
-20x - 3x = 3x + 27 - 3x
5. Simplify
-23x = 27
6. Divide
-23x / -23 = 27 / -23
7. Simplify
Answer:
<h2>
x = - 27/23 ≈ -1.17</h2>
Hope this helps!
Answer:
y = 1/3x + 4 1/3
Step-by-step explanation:
2x - 6y = 12
First find the slope
Solve for y
Subtract 2x
2x - 6y -2x= 12-2x
-6y = -2x+12
Divide by -6
-6y/-6 =-2x/-6 +12/-6
y = 1/3 x -2
The slope is 1/3
Parallel lines have the same slope
Using the slope intercept form y = mx+b where m is the slope and b is the y intercept
y = 1/3x +b
And substituting in the point
4 = 1/3 (-1) +b
4 = -1/3 +b
Add 1/3 to each side
4 + 1/3 = b
y = 1/3x + 4 1/3
Answer:
- Tadeo: 12 hours
- Dylan: 2 hours
Step-by-step explanation:
We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...
d +6d = 14
7d = 14 . . . . . . collect terms
d = 2 . . . . . . . divide by the coefficient of d
6d = 6(2) = 12
Tadeo volunteered 12 hours; Dylan volunteered 2 hours.
Let x = the number you need to find.
4x + (-5) = 2x + 11
You finish.