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3 years ago

Solve for y in terms of x. x=(y+2)/(y+3)

1 answer:

7 0

Multiply both sides by y+3 to get xy+3x=y+2. Subtract 2 from both sides as well as xy, getting 3x-2=y-xy. After that, divide y from both sides to get (3x-2)/y=1-x. After that, divide both sides by (3x-2) to get 1/y=(1-x)/(3x-2). After that, multiply both sides by y to get 1=y(1-x)/(3x-2), and then multiply both sides by
(3x-2)/(1-x) to get (3x-2)/(1-x)=y

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The selling price of an item is $650. It is marked down by 20%, but this sale price is still marked up from the cost of $400. Fi

nexus9112 [7]

Answer: 10%×$650=$585

$585-$450=$135 Mark up.

HOPE THIS HELPS

8 0

3 years ago

Math problem please help

PolarNik [594]

Step-by-step explanation:

Equations:

68.75 = 0.5c + 1.25m

c + m = 100

First, let's get rid of one of the variables. Let's start with the simplest equation first. Let's move a variable, so that only one variable is equal to the rest of the equation.

c + m = 100 to c = -m + 100

(it doesn't matter which variable)

Next, since we have what variable c is equal to, we will now incorporate it into our more complex equation.

68.75 = 0.5(-m + 100) + 1.25 m

Now, to get rid of the parentheses, and just have a regular addition equation with the only variable being m.

68.75 = -0.5m + 50 + 1.25m

Next, we need to make it so that there is only one version of the variables. Just combine the variables together so that the form one cohesive unit.

68.75 = 0.75m + 50

Now, we are going to do the same thing that we did in our first equation (with a mix of the last step we just did), but instead of variables, we are going to do it with the whole numbers instead, and converge them onto one side of the equal sign. Keep in mind that at this step in the process, the variable with it's cohesive unit should be isolated on one side of the equal sign and the other being taken up solely by whole numbers.

118.75 = 0.75m

Now, we just need to make the variable equal to 1 (or just m). So we must either multiply or divide. In this case we will be multiplying both sides by 0.75.

118.75 x 0.75 = 0.75m

So, after this step, you should have an answer of;

89.0625

However, you can't just sell a 0.0625% portion of something to somebody (especially muffins, like come on). Also, the amount of cookies and muffins must be equal to 100 and each variable is in whole numbers (usually).

*Always make sure that when you are done with a problem that you double check it. Usually, with equations like this, you just plug in the variables into the equations, and if they fit both equations, you've done well.

From this point forward, I'm leaving you to your own devices. It's 2:38 a.m. and I need to get up at 7:15. I hope this helps!

7 0

3 years ago

Is the statement (-1)n = -1 true for any positive integer n? Explain.

Rashid [163]

Answer:

it has to equal -1 x= to -1 parenthesees

1 times -1= -1 its true for that 1 answer but not the others

7 0

3 years ago

What is 18% of 900? (please answer quickly!)

Daniel [21]

162 is the answer. :)

5 0

3 years ago

Given that sin theta = 1/4, 0

GaryK [48]

Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

$(cos \alpha )^2 + (sin \alpha )^2 =1$

2) From which you can find:

$(cos \alpha )^2 = 1 - (sin \alpha )^2$

3) Replace sin(α) with 1/4

=> $(cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16$

=> $cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4$

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = $\sqrt{15} /4$ .

And that is the answer.

6 0

3 years ago