Callie bought a bag of dried fruit: cherries, pears, and apples. in the bag, 1/4 of the dried fruit is cherries and 2/3 of the remainder is pears. there are 48 pear pieces. how many pieces of fruit are apples?

6 pieces of apples

Step-by-step explanation:

1/4 = 3/12 = cherries

2/3 = 8/12= pears

8 times 6 equals 48

pears = 48/72

cherries = 18/72

pears + cherries = 66/72

apples = 72/72 - 66/72

apples = 6/72 = 1/12

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.