Answer: 3/4

Explanation: Find a common denominator (bottom number) for both fractions. 4. Multiply the 1 and 2 in 1/2 to get 2/4. Then just add the numerators (top number). This gives you 3/4.
I noticed you also said show me how to multiply. For fractions, you just mutiply the numeration and denominator apart.
1 x 1 1
- - = -
2x 4 8

6 0

2 years ago

Read 2 more answers

Mr Smith bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping

fiasKO [112]

We are given that the cost of each shirt = $12.25

It is given that she bought total 'x' shirts, each of cost $12,25.

So, the cost of 'x' shirts is dollars

Also, there is a shipping charge of $3.99

So, the total cost of 'x' shirts is

Since, the shirts cost her total $77.49.

We have the equation,

12.25x + 3.99 = 77.49

4 0

2 years ago

Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?

Aneli [31]

$\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\$

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

$-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}$

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

$\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}$

5 0

3 years ago