If a tree diagram were drawn to determine the number of possible outcomes when choosing one of 2 shirts, one of 7 ties , and one of 4 jackets, how many leaves would that be?

Number of leaves = 56   

Step-by-step explanation:

Number of shirts to be chosen = 2

Number of tie to be chosen = 7

Number of jackets to be chosen = 4

We need to find the number of leaves if a tree diagram is made by using the above given information.

When making a tree diagram :

Number of shirts chosen = 2

⇒ Number of leaves = 2

Now, choosing one of 7 ties

⇒ Number of leaves = 2 × 7

Then choosing one of 4 jackets

⇒ Number of leaves = ( 2 × 7 ) × 4

Therefore, Total number of leaves in the tree diagram = ( 2 × 7 ) × 4

                                                                                           = 56

Thus, Number of leaves = 56

at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)