$(\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\$

$=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}$

8 0

2 years ago

The ratio 20/10=5/n. What does n equal?

DIA [1.3K]

N is equal to 2.5

I divided 20 by 5 to get 4. = 20 ÷ 5 = 4. So, I divide 10 by 4 to get n. = 10 ÷ 4 = 2.5

Or we can do this solution.

20 5
---- = ---- ; do cross multiplication. 20n = 10(5)
10 n

20n = 50 ; to get n, divide both sides by 20. 20n / 20 = 50 / 20 = n = 2.50

Whichever way: 20/10 = 5/2.5

6 0

3 years ago

Given the function f(x) = x2 and k = -3, which of the following represents a vertical shift?

MAVERICK [17]

I think is 4 the correct answer

5 0

2 years ago

(Will give brainiest to whoever answers correctly)PLEASE this is do tomorrow and I don't know how to do it, also explain step by

tia_tia [17]

Answer:

64 guarts of ice-cream

8/5 quarts of ice-cream = 1/4 cake

x guarts of ice-cream = 10 cakes

cross multiply and find x you'd get 64

5 0

2 years ago