# (5x+2)(2x-3) expand and simplify

10x² - 11x - 6

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor

(5x + 2)(2x - 3)

= 5x(2x - 3) + 2(2x - 3) ← distribute both parenthesis

= 10x² - 15x + 4x - 6 ← collect like terms

= 10x² - 11x - 6 ← in expanded form

## Related Questions

Tomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Tomas has been on x rides so far. Which expression is equivalent to the number of tickets that Tomas has left? Select all that apply. A. 80 – 5x B. 80 + 5x C. 5(16 – x) D. –5x + 80 E. 5(16 + x)

Option A, C and D are correct choices.

Step-by-step explanation:

Let x be the number of rides that Tomas has been on so far. Each ride costs 5 tickets. This means that cost of x rides will be 5x.

We are told that Tomas bought 80 tickets for rides at an amusement park.

To find the number of of tickets that Tomas has left we will subtract cost of x rides from total number of tickets that Thomas bought.

We can represent this information in an expression as:

Now let us see which of our given choices in equivalent to our expression.

A.

Upon looking at option A we can see that it is same as our expression, therefore, option A is the correct choice.

B.

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option B is not a correct choice.

C.

Upon distributing 5 we will get,

Now this expression is same same as our expression, therefore, option C is the correct choice.

D.

This expression is also same as our expression as we can rearrange the terms in this expression as: , therefore, option D is a correct choice as well.

E.

Upon distributing 5 we will get,

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option E is not a correct choice.

A D

Step-by-step explanation:

Carly and Brooke both need \$10 for a birthday present for Sam. Carly has \$6 and Brooke has \$4.75. How much more money does Carly need? Select the correct answer. \$4.00

\$5.25
\$6.25

If each of them needs \$10 then:

Solve for x. :)

Use a number line to find the value of the expression -4+4-9 what property can you use to make your calculation easier explain