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2 years ago

You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40.

1 answer:

5 0

You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?

First let’s define a shirt as X and pants as Y!

In the first scenario, the equation will be 3X + Y =$32

In the second scenario, the equation will be 2X + 3Y = $40

Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!

3X + Y= $32—> subtract 3X on both sides of the equation

-3X. - 3X

Net result: Y= 32- 3X

Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable

2X + 3(32-3X) = $40

2X + 96 - 9X = $40 —> simplify the equation

-7X + 96 = $40 —> substrate 96 from both sides

-7X = -56 —> divide both sides by -7

X= 8

Now reinsert 8= X into 3X + Y = $32

3(8) + Y = $32

24+ Y = $32 —> substract 24 from both sides

y = 8

ANSWER: X= 8, Y= 8

If I am wrong I am sorry >_<

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F(x)+g(x)=(x^2+10x+25)+(5-4x)

yKpoI14uk [10]

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3 years ago

Find the determinant of the following matrix. A =<br>-2 6<br>3 5

Blababa [14]

Answer:

$|A| = - 28$

Step-by-step explanation:

Given

$A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]$

Required

Determine the determinant

For a two by two matrix, A such that:

$A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

The determinant |A| is:

$|A| = a * d - b * c$

So, in

$A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]$

The determinant is:

$|A| = -2 * 5 - 6 * 3$

$|A| = -10 - 18$

$|A| = - 28$

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2 years ago

malfutka [58]

Answer:

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Step-by-step explanation:

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2 years ago

Can you explain how to order rational numbers

denis-greek [22]

Answer:

We do this by first converting all terms into fractions, finding the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.

Step-by-step explanation:

hope this helps!

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3 years ago

Ann is growing two different plants for a science project. Plant A grew 4/12 inch the first week and 2/12 inch the second week.

Galina-37 [17]

Start the number line from 0 and put divisions at 1/12. Then mark at 4/12 for plant A and indicate this was its growth in the first week. Then, make another mark up to 6/12 and indicate this was the plant's growth in the second week.
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After two weeks, plant A has a height of 6/12 inches and plant B has a height of 7/12 inches, so B is taller.

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3 years ago