Juan is making a fruit salad. he has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. he wants his fruit salad to contain five different fruits. how many ways can he make the fruit salad if it must contain watermelon? 21 35 56 70

The correct option is B. 35

Step-by-step explanation:

Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe

Number of fruits in total available to make fruit salad = 8

Number of fruits needed to make fruit salad = 5

No. of choices available for 1st fruit , watermelon is must = 1

Hence, In 35 ways he can make the fruit salad if it must contain watermelon

Therefore, The correct option is B. 35

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is