Write a number sentence to show the distributive property. 7x6=

According to the distributive property of multiplication,

a . (b + c ) = (a . b) + (a . c)

Given: 7 × 6

which can be rewritten as: a)  7 . (4 + 2), b)   7 . (3 + 3), c)   7 . (1 + 5)

Rewriting the given expression using the distributive property of multiplication:

a)   7 . (4 + 2) = (7 . 4) + (7 . 2)

7 . (6) = 28 + 14

42 = 42

b)   7 . (3 + 3) = (7 . 3) + (7 . 3)

7 . (6) = 21 + 21

42 = 42

c)   7 . (1 + 5) = (7 . 1) + (7 . 5)

7 . (6) = 7 + 35

42 = 42

As the left hand side is equal to the right hand side in each case, therefore, it proves the distributive property.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!