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4 years ago

Mr. Smith earned $600 last year. His total deductions amounted to 10%

Mathematics

2 answers:

IgorLugansk [536]4 years ago

6 0

Answer:

540

Step-by-step explanation:

Pepsi [2]4 years ago

3 0

Answer:

540

Step-by-step explanation:

10% of 600 is 60, 600-60 is 540

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What is the opposite of the opposition of 8 1/4

Vesnalui [34]

The opposite of x is -x so opposite of 8 1/4 is -8 1/4 and a -8 1/4 is 8 1/4 so the answer is as same as the number in the question, 8 1/4 :)))
I hope this is helpful
have a nice day

6 0

3 years ago

Slove the equation,-3x = 15 show ALL steps!

lapo4ka [179]

Answer:

$x = -5$

Step-by-step explanation:

Hi there! I'm glad I was able to help you!

There is only one step involved in solving this equation, which I'll explain in a minute. I want to focus on the equation itself, and break it down for you so you can understand the entire thing altogether.

When there is a variable beside a whole number, it means to multiply the already given whole number by the variable. We're also given what the equation is equal to, so it's much easier to solve for x!

We are given the equation below:

$-3x = 15$

The opposite of multiplication is division. We are dividing to undo and cancel out the left side of the problem. When we solve the right side, it gives us our answer.

$-3x = 15$

$\frac{-3x}{-3} = \frac{15}{-3}$

$x = -5$

We have the correct answer, but sometimes if we are unsure, we can double check by replacing the variable by -5, and solving the equation as usual, and you can use a calculator for this part. If it comes out to be true, we're done!

$-3 * -5 = 15$

I hope this helped you out! If you have any other questions, leave a comment below! I'd love to assist! :)

8 0

3 years ago

Marge has 4 more than 2 times as many books as Susan. If Marge has 22 books and x is the number of books that Susan has, the rel

steposvetlana [31]

Susan have 9 books.

Explanation:

Given that Marge has 4 more than 2 times as many books as Susan.

Let x represents the number of books that Susan has.

The relationship is written as

$4+2x=22$

To find: Number of books that Susan have.

The number of books that Susan have can be determined by solving the expression for x.

Thus, we have,

$4+2x=22$

Subtracting 4 from both sides of the equation, we get,

$2x=18$

Dividing both sides by 2, we get,

$x=9$

Therefore, Susan has 9 books.

7 0

3 years ago

Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

Vlad1618 [11]

Answer:

$y=-\dfrac{x}{e^{2}}+\dfrac{2}{e^{2}}\\$

this is the equation of the tangent line to the curve from the point (1, 1/e^2)

Step-by-step explanation:

$y=\dfrac{x}{e^{2x}}$

to find the tangent line we need to find the curve's derivative.

we'll be using the quotient formula: $d\left(\dfrac{u}{v}\right) = \dfrac{uv'-vu'}{v^2}$ , here $u = x\quad , \quad v = e^{2x}$

$\dfrac{dy}{dx}=\dfrac{e^{2x}(1)-x(2e^{2x})}{(e^{2x})^2}$

$\dfrac{dy}{dx}=\dfrac{e^{2x}-2xe^{2x}}{(e^{4x})}$

$\dfrac{dy}{dx}=\dfrac{\left(1-2x\right)}{ e^{2 x}}$

This is the equation of the slope of the curve. By finding the slope of the curve at (1, 1/e^2) we'll also be finding the slope of the tangent to the curve at (1, 1/e^2).

the x-coordinate is 1, so using x =1

$\dfrac{dy}{dx}=\dfrac{\left(1-2(1)\right)}{ e^{2(1)}}\\\dfrac{dy}{dx}=\dfrac{-1}{e^{2}}$