Answer:
15
Step-by-step explanation:
if you divide 20 by 8, then you get 2.5. multiply that by six, and you get your answer.
The equation e = 6 tells you for each box, e, there are 6 eggs. If she bought 4 boxes, you would be multiplying the number of boxes, 4, by e. That means:
4 x e
Now you need to set 4 x e equal to the total number of eggs she has now. Since you know e = 6 eggs, plug in 6 into 4 x e!
4 x e = ?
4 x 6 = 24
That means you complete equation is:
4 x e = 24
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Answer: <span>A) 4 × e = 24</span>
5/16
You have to simplify both sides of the equation, then isolating the variable.
Answer:
24/25
Step-by-step explanation:
Step 1: Define systems of equation
10x - 16y = 12
5x - 3y = 4
Step 2: Rewrite one of the equations
5x = 4 + 3y
x = 4/5 + 3y/5
Step 3: Solve for <em>y</em> using Substitution
- Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
- Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
- Simplify the fractions down: 8 + 6y - 16y = 12
- Combine like terms (y): 8 - 10y = 12
- Subtract 8 on both sides: -10y = 4
- Divide both sides by -10: y = 4/-10
- Simply the fraction down: y = -2/5
Step 4: Substitute <em>y</em> back into an original equation to solve for <em>x</em>
- Substitute: 5x - 3(-2/5) = 4
- Multiply: 5x + 6/5 = 4
- Subtract 6/5 on both sides: 5x = 14/5
- Divide both sides by 5: x = 14/25
Step 5: Check to see if solution set (14/25, -2/5) is a solution.
- Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
- Multiply each term: 28/5 + 32/5 = 12
- Add: 12 = 12
Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.
Step 6: Find <em>x</em> <em>- y</em>
x = 14/25
y = -2/5
- Substitute: 14/25 - (-2/5)
- Simplify (change signs): 14/25 + 2/5
- Add: 24/25
Hope this helped! :)
Answer:
all real numbers.
Step-by-step explanation:
First, distribute 3 to all terms within the parenthesis:
3(x + 4) = 3(x) + 3(4) = 3x + 12
3x + 12 = 3x + 12
Because both sides are the same, your answer for x is "all real numbers".
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