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Zarrin [17]
1 year ago
6

Write and simplify the equation you would use to solve the problem below.

Mathematics
1 answer:
charle [14.2K]1 year ago
5 0

Answer:

4w + 10 = 116

Step-by-step explanation:

Call the width w.

The length is 5 more than that, so the length is w + 5

Perimeter is 2w + 2l

2w + 2(w+5) = 116

Distribute the 2 to the values in the parentheses.

2w + 2w + 10 = 116

Combine like terms

4w + 10 = 116

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2x + 8 - 3x = 3 What is x and please show your work
Nitella [24]
So what you will need to do is subtract 2x - 3x = -x, then subtract three from both sides 8 - 3 and the answer will be -x + 5
7 0
2 years ago
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3/4=j-1/2 solve the equation check your solution
DIA [1.3K]
3/4= j-1/2
first to add 1/2 to both sides to solve for j 
3/4 + 1/2= j
second you find a common denominator in order to add 3/4 and 1/2, the common denominator would be 4, you would have to change 3/4 at all because the denominator is already 4 but in order to make the denominator of 1/2, 4 you would have to multiply both the denominator and numerator by 2 so 
3/4 + 2/4 = 5/4
so 5/4 =j

to check your answer you plug 5/4 in for j 
3/4 = 5/4 -1/2
again you need to find a common denominator between 5/4 and 1/2 which again would be 4, and again you wouldn't change 5/4 but you would multiply both the numerator and the denominator of 1/2 so 
3/4= 5/4-2/4
5-2= 3 and you would keep the 4 so 
5/4 - 2/4 = 3/4

so j =  5/4
5 0
2 years ago
Square root3(square root3+2square root12) simplify it.Answer should be square root 3.
julsineya [31]

Answer:

sqrt3[sqrt3+2sqrt12]=sqrt3[sqrt3+4sqrt3] = sqrt3[5sqrt3= 3x5 =15

5 0
2 years ago
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The price for a TV was decreased by 20% and then by 10%. By what percent was the new price lower than the original?
Finger [1]
Let's say the tv was 100$ . Reduced by 20% means the tv is now 100 - 20 = 80% of the original price.

0.8(100) = 80$
Reduced again; by 10% means that it is now 100-10 = 90% of the 80$
0.9(80) = 72$

sale price ÷ original price

72$ / 100$ = 0.72 which is 72% of the original price. Which is a mark down of:
100 - 72 = 28%

The new price is 28% lower than the original price.

7 0
3 years ago
Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.
Levart [38]

Answer:

The standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Step-by-step explanation:

We know that:

4p\left(y-k\right)=\left(x-h\right)^2 is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

x^2\:+\:10x\:+\:6y\:=\:47

Rewriting the equation in the standard form

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

where

vertex (h, k) = (-5, 12)

7 0
2 years ago
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