(x-6)(3x+7)
Expand and simplify

3x^2 − 11x − 42

Step-by-step explanation:

Simplify  (x − 6) (3x + 7)

Expand (x − 6) (3x + 7) using the  FOIL Method.

Apply the distributive property.

  x (3x + 7) − 6 (3x + 7)  

Apply the distributive property.

  x (3x) + x ⋅ 7 − 6 (3x + 7)

Apply the distributive property.

  x (3x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Simplify and combine like terms.

Rewrite using the commutative property of multiplication.

  3x ⋅ x + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Multiply x by x by adding the exponents.

Move x.

  3 (x ⋅ x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Multiply x by x.

  3x^2 + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Move 7 to the left of x.

  3x^2 + 7 ⋅ x − 6 (3x) − 6 ⋅ 7

Multiply 3 by −6.

  3x^2 + 7x − 18x − 6 ⋅ 7

Multiply −6 by 7.

  3x^2 + 7x − 18x − 42

Subtract 18x from 7x.

  3x^2 − 11x − 42

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation: