the numbers are x=58 & x+2=60 , i.e. 58 and 60 .
<u>Step-by-step explanation:</u>
Here we have , Consecutive integers are 1,2,3,4 and so on. Consecutive even integers are 2,4,6,8 and so on. The sum of an integer and twice the next consecutive even integer is 178. We need to Write and solve an equation to find the two integers. Let's find out:
Let the integer be x , and the next consecutive even integer be x+2 .Now , According to question , The sum of an integer and twice the next consecutive even integer is 178 i.e.
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Therefore , the numbers are x=58 & x+2=60 , i.e. 58 and 60 .
Answer:
f(4) = 2
Step-by-step explanation:
Step 1: Define
f(x) = 2x - 6
g(x) = x²
Step 2: Find g(-2)
g(-2) = (-2)²
g(-2) = 4
Step 3: Find f(g(-2))
f(g(-2)) = f(4)
f(4) = 2(4) - 6
f(4) = 8 - 6
f(4) = 2
The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that
m∠ABC and m∠CBD = (3x − 6).
So, you're equation should be (3x - 6) + (3x - 6) = 180.
You would then solve to get 6x - 12 = 180, 6x = 192, x = 32
x=32, and we used the Linear Pair Theorem (C)
Answer:
9 bracelets sold is the break even point.
Step-by-step explanation:
The total costs are 7.50 for each bracelet made and 225 for the booth rental.
Let the Costs = y and Let the number of bracelets = x.
So far what you have is
y = 225 + 7.50 * x
Balancing this out is the sale price
32.50 * x is the total income.
Equation
The break even point is where
y = 32.5x - (225 + 7.50x) = 0
Solution
32.5x - 225 - 7.50x = 0 Combine like terms on the left
25x - 225 = 0 Add 225 to both sides
25x - 225 + 225 = 0 + 225 Combine
25x = 225 Divide both sides by 25
25x/25 = 225/25
x = 9
The answer is that the break even point is when 9 bracelets have been sold.
Answer:
Step-by-step explanation: it’s 37 rn