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3 years ago

In Khan Academy: Equations & inequalities word problems:

Mathematics

1 answer:

Leona [35]3 years ago

5 0

Answer ( if trying to find x ) :

x = 44

Step-by-step explanation:

5 x 7 = 35 ( area of picture )

120 -> ( area of the whole picture + frame )

120 - 35 = 85 ( area of just the frame )

factor's of 85 -> 1 ,5 ,17 ,85 ( can't be 1 by 85 inch's picture ,so you get 5 by 17 )

5 + 5 + 17 + 17 = 44 (perimeter of the frame ( perimeter formula= l + l + w + w ) )

44 inch's ( ? )

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Solve (2x-1/4)+(x/3)=2<br> Please provide a step by step with explanation

andrew11 [14]

Answer:

x = 27/10 or x = 2.7

Step-by-step explanation:

Step 1: Get rid of the denominator.

LCD of 4 & 3: 12

Multiply both sides by 12.

12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)

Reduce the numbers.

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Step 2: Distribute.

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Step 3: Collect like terms.

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2 years ago

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pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

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Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

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Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

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<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

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3 years ago

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kifflom [539]

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Step-by-step explanation:

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