What’s the answer to -15+n=-9

5-8|-2x|=-80<br><br> Blank 1: ?<br> Blank 2: ?

denpristay [2]

Answer:

$x=\frac{85}{16}, x=-\frac{85}{16}$

Step-by-step explanation:

Hi there!

We are given the absolute value equation:

5-8|-2x|=-80

We want to solve it for x

First, let's make sure that ONLY the absolute value equation is on the left side

So subtract 5 from both sides

-8|-2x|=-85

Now divide both sides by -8

|-2x|=85/8

Now, for an absolute value equation, we can split it up into two parts, as |x| can be equal to both x and -x

In this case, |-2x| can equal to 85/8, but it can also equal -85/8

That's why for absolute value, there are always 2 cases

For the first case, if |-2x| is equal to 85/8:

Note: we open up the absolute value when we are solving a case, as it is one of the possiblities that can happen for the equation. So it would be true.

-2x=85/8

Divide both sides by -2

x=-85/16

In the second case, if -2x is equal to -85/8:

-2x=-85/8

Divide both sides by -2

x=85/16

So the answers are $x=\frac{85}{16}, x=-\frac{85}{16}$

Hope this helps!

4 0

3 years ago

Based on your knowledge of taxes, you estimate that your net pay will be 66% of your gross pay. You think you will need $250 per

Sholpan [36]

The gross pay per year is $\fbox{\bf\$19697.6}$ .

Further explanation:

Given:

The net pay is 66% of the gross pay. The net pay per week is $250.

Calculation:

Consider the gross pay as $x$ and net pay as $y$ .

Since the net pay $y$ is 66% of the gross pay $x$ , it can be written as follows:

$\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}$

The net pay per week is given as $250.

Substitute 250 for $y$ in above equation.

$\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}$

Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:

$\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}$

Thus, the gross pay per year is $19697.6.

Learn more:

1. Interest rates are expressed as a percentage ofhttps://brainly.com/question/3724002

2. Suppose that this individual now decides to give one-eighth of a percent (0.125 %) of her new net worth to charity. how many dollars are given to charity?brainly.com/question/928382

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Interest

Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.

4 0

4 years ago

Hillel is juggling flaming torches to raise money for charity. His initial appearance raises $500, and he raises $15 for each mi

Sauron [17]

Answer:

$R(t)=15t+500$

Step-by-step explanation:

Let R be the amount of money Hillel raises is a function of t, the length of his performance in minutes.

We have been given that Hillel raises $15 for each minute of juggling performance. This means that change in amount of money with every minute of juggling performance is 15, so slope of our line will be 15 and money raised in t minutes of performance will be 15t.

His initial appearance raises $500, so 500 will be our y-intercept.

The total money raised by Hillel after t minutes of juggling performance will be: $500+15t$ .

Since we know that line of an equation in slope-intercept form is: $y=mx+b$ , where,

m = slope of line,

b = y-intercept.

We are also given that R is a function of t, so substituting our given values in slope-intercept form of equation we will get our function formula as:

$R(t)=15t+500$

Therefore, the function $R(t)=15t+500$ gives the amount R of money Hillel raises in t minutes of juggling performance.

6 0

3 years ago

Read 2 more answers

Find the area????????

Zina [86]

First you find the area of the rectangle by multiplying 48 by 40 = 1920

Then find the area of the triangle by multiplying 16 by 48 then divide by 2 = 384

Finally add the two together to get your answer 1920 + 384 = 2304

C 2304 units squared

6 0

4 years ago

Read 2 more answers

The equation of a line that is parallel to y = -3x + 6 and passes through the point (0, -4) please help this is an emergency I n

Lynna [10]

Answer:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 6 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes.

The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4, thus

y = - 3x - 4 ← equation of parallel line

4 0

4 years ago