Which pair of functions are inverses?

Five twelfths ot the participants at a conference brought laptop computers with them

elena-14-01-66 [18.8K]

The number of participants with laptop is 115 and without laptop is 161

<u>Step-by-step explanation:</u>

Total number of participants= 276

Participants with laptop = (5/12) 276

= 115

Participants without laptop= 276 - 115

= 161

5 0

3 years ago

A skirt originally cost $10. How much will it cost if you sell it in Amazon with 25% mark-up price

san4es73 [151]

Answer:

$20.40

Step-by-step explanation:

20% off means that the new price of the skirt will be 80% of the original price:

$30(100% – 20%) = $30(80%)

Converting the percent to a decimal gives:

$30(0.8) = $24.00

There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:

$24(100% – 15%) = $24(85%)

Again converting the percent to a decimal gives:

$24(0.85) = $20.40

5 0

3 years ago

The sphere weighs 4 pounds. sorry no picture but you can ask me for it in the comments What is the weight of the cylinder? What

Zolol [24]

Answer:

The weight is 4 pounds :D

Step-by-step explanation:

3 0

3 years ago

the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

inna [77]

Answer:

$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

$6 = \frac{1}{2}b(b-4)$

Now we can work towards solving. Let's get simplifying.

$12 = b(b-4)\\12 = b^2 - 4b\\$

bring everything to one side so we can make a quadratic and factor:

$0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2$

We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.

$h = (6) - 4 = 2$

We find that $h=2$

7 0

2 years ago

Graph the line for y+1=−3/5(x−4) on the coordinate plane. Move Line Undo Redo Reset

dsp73

Answer:

The equation of line is shown below.

Step-by-step explanation:

The equation of line is

$y+1=\frac{-3}{5}(x-4)$

It is the point slope form of a line, therefore the slope of the line is $\frac{-3}{5}$ and the line passing through (4,-1).

Rewrite the above equation in slope intercept form.

$y=\frac{-3}{5}x+\frac{12}{5}-1$

$y=\frac{-3}{5}x+\frac{12-5}{5}$

$y=\frac{-3}{5}x+\frac{7}{5}$

The point slope form of a line is

$y=mx+b$

Where m is the slope and b is y-intercept.

Therefore the slope of the line is $\frac{-3}{5}$ and the y-intercept of the line is $\frac{7}{5}$ .

Slope is defined as

$m=\frac{Rise}{Run}$

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.

The y-intercept is $(0,\frac{7}{5})$ .

$(0-5,\frac{7}{5}+3)=(-5,\frac{22}{5})=(-5,4.4)$

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.

7 0

3 years ago