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alexgriva [62]
4 years ago
11

Find the LCD of the fractions, and then simplify the expression. Assume that no denominator equals zero. 5/(3x^2y) - 4/(6xy^3

Mathematics
1 answer:
tamaranim1 [39]4 years ago
5 0
The LCD = 6x^2y^3    ( because LCD of 3 and 6 = 6,  LCD of x^2 and x = x^2 and LCD of y and y^3 = y^3)

now divide 3x^2y into the LCD  then multiply this  by 5 to get the first term in the numerator  and do similar process to get second term, so we get:-

5(2y^2) - 4(x)
------------------
   6x^2y^3

=  2( 5y^2 - 2x)
   -----------------
        6x^2y^3

=    5y^2 - 2x
      -----------
      3x^2y^3

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A jar of quarters and dimes has total value of $20.70. The jar has 10 more quarters than dimes. To find the numbers of quarters
lakkis [162]

There are 62 quarters and 52 dimes in the jar.

Step-by-step explanation:

Given,

Worth of jar coins = $20.70 = 20.70*100 = 2070 cents

1 Quarter = 25 cents

1 Dime = 10 cents

Let,

Number of quarters = x

Number of dimes = y

According to given statement;

25x+10y=2070    Eqn 1

x=y+10     Eqn 2

Putting value of x from Eqn 2 in Eqn 1

25(y+10)+10y=2070\\25y+250+10y=2070\\35y=2070-250\\35y=1820\\

Dividing both sides by 35

\frac{35y}{35}=\frac{1820}{35}\\y=52

Putting y=52 in Eqn 2

x=52+10\\x=62

There are 62 quarters and 52 dimes in the jar.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/12801884
  • brainly.com/question/12817595

#LearnwithBrainly

8 0
4 years ago
Which expression is equal to 42⋅48? <br>416<br><br>410<br><br>46<br><br>4−6
krek1111 [17]

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4 0
2 years ago
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Step-by-step explanation:

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3 years ago
An isosceles right-angled triangle is shown.
Bad White [126]

Answer:

\boxed{x=4}

Step-by-step explanation:

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→ Substitute in the values

200 = 0.5 × 5x × 5x

→ Simplify

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A copy machine makes
IrinaK [193]
This problem can be represented in a formula with fractions. To make it more simple, we are converting 5m30s to just pure seconds, which = 154 copies in 330 seconds.

You set up the formula like this: 154/330 = x/60. (it is x/60 because you want to know the x amount of copies per 60 seconds)

Cross multiply, you get 330x = 9240. Divide both sides by 330, you get:

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The final answer is 28 copies per minute
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