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Anvisha [2.4K]
3 years ago
7

The Perimeter of a rectangle is 36. If there's 5n + 3 and 1/4n + 2, what's the value of n?

Mathematics
1 answer:
seropon [69]3 years ago
5 0
Perimeter: 36

5n + 3 = 36
5 · 6.6 + 3 = 36

N = 6.6
------------------------------------------
Perimeter: 36

1/4n + 2 = 36
1/4 · 136 + 2 = 36

N = 136

Hopefully i understood the question correctly :) Hope this helps
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Substitute for y and rewrite the system of equations as a single equation which can be used to solve for x.
Vlada [557]

Answer:

x = 3  and y = 1

Step-by-step explanation:

Given equations

y=3x-8 and y=4-x

We will substitute y from second equation in the first and get:

4-x = 3x-8   first we will add (+x) to both sides and get

4-x+x = 3x+x-8 =>   4 = 4x-8 now we will add (+8) to the both sides and get

4+8 = 4x-8+8 => 12 = 4x  now we will change the sides of equation and get

4x = 12 => x = 12/4 = 3 => x=3  now we will replace x=3 in the second equation

y= 4-x = 4-3=1 => y=1  

Finally we have  (x , y) = ( 3 , 1)

God with you!!!

7 0
3 years ago
If a rectangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed?
Xelga [282]

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

5 0
3 years ago
From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project. What is
cestrela7 [59]

Answer:\frac{15}{56}

Step-by-step explanation:

We have to select george but not nina with two other people

No. of ways  selecting 2 two people knowing Geroge will be the third one is

^6C_2 (beacuse we have to exclude Nina)

And total no of ways of selecting 3 people out of 8 people is ^8C_3

Therefore the required Probability is \frac{^6C_{2}}{^8C_{3}}    

=\frac{15}{56}

3 0
3 years ago
Jason considered two similar televisions at a local electronics store. The generic version was based off the brand name and was
eduard
W  -width of the brand name TV, L - length of the brand name TV;
3/8 W = 12
W = 12 : 3/8 = 12 · 8/3 = 32 in
3/8 L = 24
L = 24 : 3/8 = 12 · 8/3 = 64 in
Answer: A ) 32 inches by 64 inches.
5 0
4 years ago
Read 2 more answers
How many milliliters of 0.30%. sugar solution must you add to 75 mL of 4% sugar solution to get a 0.50% sugar solution? show you
LekaFEV [45]
<span>We have 75 mL of 4% sugar solution.
We have to add a 30% sugar </span><span>solution to make a 50% </span><span>sugar solution.
75 * .04 + .30x = .50 * (75 +x)
3 + .30x = 37.5 +.50x
I can't get the equation to solve.
Did you type it correctly? For one thing, you have the percentages typed as .30 % and 4%.  Are the decimal places in the correct positions?

Also, no matter how much 30% sugar solution you add, it will NEVER increase to 50%.


</span>
6 0
3 years ago
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