Babajan makes breakfast cereal. She mixes nuts, raisins and oats in the ratio 3 : 2 : 5 by weight. On Monday, Babajan uses 60 grams of nuts. Work out the weight of raisins and the weight of oats she uses to make the breakfast cereal.

1. perpendicular

2. parallel

3. perpendicular

6) 10x + 2 = 32

10x = 30

x = 3

7) 19 - 4c = 17

-4c = -2

c = 1/2

8) 1.1x + 1.2x - 5.4 = -10

2.3x - 5.4 = -10

2.3x = -4.6

x = -2

9) 2/3h - 1/3h + 11 = 8

1/3h = -3

h = -9

10) 6 (5 - 8v) + 12 = -54

30 - 48v + 12 = -54

42 - 48v = -54

-48v = -96

v = 2

11) 21 (2 - x) + 12x = 44

42 - 21x + 12x = 44

42 -9x = 44

-9x = 2

x = -2/9

12) -2 (7 - y) +4 = -4

-14 + 2y + 4 = -4

-10 + 2y = -4

2y = 6

y = 3

13) the cost c ( in dollars) of making n watches is represented by c= 15n + 85. how many watches are made when the cost is $385?

c = 15n + 85

385 = 15n + 85

300 = 15n

20 = n

20 watches

the expression mentioned can be written, in mathematical terms, as:

3√ x^5 y

now the same expression can be written in different ways.

for example, we can rewrite the rational exponents by multiplying the value of cubic square with x^5 and y to get

x^5/3 y^1/3

or

we can simplify the radical by breaking the radicand (the number under the radical symbol) up into a product of known factors like

x   3√ x^2 y