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3 years ago

The sum of two consecutive whole numbers is 57. What is the value of the greater of the two numbers

1 answer:

5 0

$n,\ n+1-\text{ two consecutive whole numbers}\\57-\text{the sum}\\\\n+n+1=57\qquad\text{subtract 1 from both sides}\\2n=56\qquad\text{divide both sides by 2}\\n=28\\\\n+1=28+1=29\\\\Answer:\ \boxed{\text{The greater of the two numbers is 29}}$

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Jordan wrote the following description. Three fewer than one fourth of x is 12. Write an equation to represent the description??

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3 years ago

If f(x) = 9x - 2 and g(x) = 2x², what is the value of f(4) - g(4)

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6 0

2 years ago

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Question 8 (2 points)

SashulF [63]

Answer:

$\mathbf{x=\frac{1}{2}}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if $x=\frac{1}{2}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

Solving the equation first to find value of x

$4x+12-8x=-1+2x+10$

Combining like terms:

$4x-8x+12=2x+10-1\\-4x+12=2x+9$

Subtracting 2x on both sides

$-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9$

Now, subtracting 12 on both sides

$-6x+12-12=9-12\\-6x=-3\\$

Divide both sides by -6

$\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}$

So, we get $\mathbf{x=\frac{1}{2}}$

Therefore we can say that $\mathbf{x=\frac{1}{2}}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

The statement is true.

Option A is correct.

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2 years ago

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