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My name is Ann [436]
3 years ago
14

Solve the system.3 x - 1 2 y = 1 1 4 x + 3 8 y = -1

Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

y = -13/14 and x = 240/7

Step-by-step explanation:

3x - 12y = 114 ............eqn 1

x + 38y = -1 ..........eqn 2

Multiply eqn 2 by 3

3x + 114 = -3

Subtract eqn 2 from 1

3x - 12y = 114

- 3x + 114 = -3

____________

0 - 126y = 117

y = 117/-126

y = -13/14

Sub y = -13/14 in eqn 1

3x - 12(-13/14) = 114

3x + 78/7 = 114

Multiply through by 7

21x + 78 = 798

21x = 798 - 78

21x = 720

x = 720/21

x = 240/7 = 34.29

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Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each ty
eduard
Well obviously quarters equal 25 cents.  So you have to divide the 8.85 by 25 first.  That means he could have 35 quarters.  That least the rest as being dimes.  So find the remaining amount of the 8.85.  If you have 35 quarters that's $8.75.  And 8.85 minus 8.75 is 10 cents.  which would be 2 nickels.  That only adds up 37 coins.  So you break down one of the 25.  That would mean 5 more coins could be nickels.  Add 37 and 5 to get 42.   Do it again.  25 cents in nickels would be 5 more coins.  would be 46.  that would be missing 2 coins. But don't forget you're also subtracting from the 35 quarters. Now you would technically have 12 nickels and 33 quarters.  So you can do it one more time.  32 quarters means there is $8 in quarters at this point.

Now add you have 12 nickels, and you made 5 more.  That's 17 nickels.  That equals 85 cents.  So add 17 and 32 to be sure you have 49 coins, which you do. 


So 17 nickels, 32 quarters to equal 49 coins and $8.85

(sorry some of it got mixed up above because I was forgetting to subtract the quarters from the total as I changed them to nickels, so pay attention to the end)
8 0
3 years ago
HELP!!! Chords AB and BD intersect in circle O as shown in the diagram. Two of the angle measurements are marked. What is mCED?
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3 years ago
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If you take a number, times by 7 then subtract 1. You get the same as if you took the number, times by 5 then subtract 8. What i
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Answer:

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Step-by-step explanation:

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3 years ago
What is the difference? startfraction 2 x 5 over x squared minus 3 x endfraction minus startfraction 3 x 5 over x cubed minus 9
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The difference of the expression \frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x} is \frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

<h3>How to determine the difference?</h3>

The expression is given as:

\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}

Factor the denominators of the expressions:

\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}

Apply the difference of two squares to x² - 9

\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x - 3)(x + 3)}

Take LCM

\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

Hence, the difference of the expression \frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x} is \frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

Read more about expressions at:

brainly.com/question/723406

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6 0
2 years ago
What is 5 plus 2 1/4
svet-max [94.6K]

Answer:

7 1/4

Step-by-step explanation:

the 5 is not affecting the fraction so just add the whole numbers

3 0
3 years ago
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