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liubo4ka [24]
3 years ago
12

Express the following as a single fraction in its simplest form ​

Mathematics
1 answer:
il63 [147K]3 years ago
5 0

Answer:

4x-18y-18/12

Step-by-step explanation:

x/3 - 2(y+1)/4

1. Find the Least Common Multiple for the denominators (in this case it is 12)

4x/12 - 6(3y+3)/12

2. Use PEMDAS

4x/12 - 18y+18/12

3. Distribute the arithmetic sign

4x/12 + -18y-18/12

4. Combine the fractions

4x-18y-18/12

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twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only
Karolina [17]

donuts and cream puffs were  45 & 4 respectively !

<u>Step-by-step explanation:</u>

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts   We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

  • twice the number of donuts was only 6 less than 24 times the number of cream puffs

According to this statement equation is :

⇒ 2x=24y-6

⇒ x=12y-3            ................(1)

  • 10 times the number of cream puffs was only 5 less than the number of donuts

According to this statement equation is :

⇒ 10y= x-5

⇒ x=10y+5               ................(2)

Equation (1) & (2) :

⇒ 12y-3=10y+5

⇒ 2y=8

⇒ y=4

Putting  y=4 in  x=12y-3  :

⇒ x = 12(4)-3

⇒ x = 45

Therefore , donuts and cream puffs were  45 & 4 respectively !

7 0
3 years ago
URGET PLEASE HELP QUICKLY
alexdok [17]

Answer: -0.5.

Step-by-step explanation:

The constant of variation k for the direct variation is given by:-

k= \dfrac{f(x_2)}{x_2}=\dfrac{f(x_1)}{x_1}

The given table:

x  f( x )

0   0

2   -1

4    -2

7   -3.5

Then,

k=\dfrac{-1}{2}=\dfrac{-2}{4}=\dfrac{7}{-3.5}=-0.5

Hence, the constant of variation k for the direct variation is -0.5.

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3 years ago
Solve the equation for a.<br><br> K=4a+9ab
ale4655 [162]

Answer:

a= k/4+9b

Step-by-step explanation:

hope this helps, if not let me know!

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2 years ago
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