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3 years ago

What is 6 (5x + 2y) -3 (2x + 3y) ?

2 answers:

7 0

$\text{Hello there!}\\\\\text{Use the distributive property and combine like-terms to get your answer:}\\\\6(5x + 2y) -3 (2x + 3y)\\\\\text{Distribute:}\\\\30x+12y-6x-9y\\\\\text{Combine like terms:}\\\\24x+3y\\\\\boxed{\text{Answer: 24x+3y}}$

melisa1 [442]3 years ago

3 0

Answer:

=24x+3y

Step-by-step explanation:

6(5x+2y)−3(2x+3y)

Distribute:

=(6)(5x)+(6)(2y)+(−3)(2x)+(−3)(3y)

=30x+12y+−6x+−9y

Combine Like Terms:

=30x+12y+−6x+−9y

=(30x+−6x)+(12y+−9y)

=24x+3y

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How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third d

Ostrovityanka [42]

Answer:

1600 integers

Step-by-step explanation:

Since we have a four digit number, there are four digit placements.

For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.

For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.

For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers

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3 years ago

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dimaraw [331]

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