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Sergio [31]
2 years ago
14

Please help

Mathematics
1 answer:
morpeh [17]2 years ago
7 0

Answer:

Length= 20

Width= 4

Step-by-step explanation:

First, you can turn this into an equation:

Length= L

width= w

So L=5w

And using the area formula for rectangles, we get L*w=80.

Now, to solve, we only need to substitute 5w into L.

Now we have 5w^2=80. We divide by 5 on both sides to get w^2=16.

We take the square root of both sides. since the length and width of an rectangle cannot be negative, we are left with only w=4.

So plugging back in, we get L=20.

To check, 20*4=80.

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A retailer sells volleyball nets for $36 that were acquired at a cost of $16. What percentage is the mark-up?
Marat540 [252]

Answer:

5.76

Step-by-step explanation:

5 0
2 years ago
2y+3=-2x written in slope intercept form
Alex777 [14]
Y=-x-3/2
That's it written in slope intercept form
3 0
3 years ago
Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
In the following exercises, solve
yKpoI14uk [10]

Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

  • The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.
  • Calculate the volume to the nearest whole number.
  • Use the given values and calculate the proportionality constant as well as required solution.

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$

7 0
1 year ago
Given the equation -2x + 8y = 24, determine the x- and y-intercepts. PLZ HELP???
attashe74 [19]

Answer:

x=(-12,0)

y=(0,3)

Step-by-step explanation:

<u><em>x-intercept</em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

x=4y-12

x=4(0)-12

x=-12

<u><em>y-intercept </em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

-4y=-12-x

y=-\frac{-12-x}{4}

y=-\frac{-12-(0)}{4}

y=\frac{12}{4}

y=3

5 0
3 years ago
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