The distributive property combines (blank) and (blank) to make multiplying whole numbers simpler

Answers

Answer 1

Answer: The distributive property combines addition and multiplication to make multiplying whole numbers simpler.

It combines multiplication of simpler numbers with addition.
For example:
26 x 15 can be written as: 15(10+10+6)

Answer 2

Answer:

Answer:

Step-by-step explanation:

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The mathematics club will select a president, a vice president, and a treasurer for the club. if there are 15 members in the club, how many different selections of a president, a vice president, and a treasurer are possible if each club member can be selected to only one position? here are the choices i forgot to include them 42 455 2730 3375

Answers

This is a problem of variations because the order is important, it can not be selected all of members, and can not repeat.
15V3 = 15!/(15-3)! = 2730

Please help with sequences and series problem!

Answers

In an arithmetic sequence, consecutive terms are separated by a common difference $d$ and are given recursively by

$a_n=a_(n-1)+d$

So we can write $a_(51)$ in terms of $a_(11)$ by substituting recursively:

$a_(51)=a_(50)+d$

$a_(51)=(a_(49)+d)+d=a_(49)+2d$

$a_(51)=(a_(48)+d)+2d=a_(48)+3d$

and so on up to

$a_(51)=a_(11)+40d$

(notice how in $a_x+yd$ , it's always true that $x$ and $y$ add up to 51)

We're given that $a_(11)=23$ and $a_(51)=183$ , so we can solve for $d$ :

$183=23+40d\implies40d=160\implies d=40$

We can use the same strategy to find the first term in the sequence:

$a_(11)=a_(10)+40$

$a_(11)=(a_9+40)+40=a_9+80$

$a_(11)=(a_8+40)+80=a_8+120$

and so on up to

$a_(11)=a_1+400$

$23=a_1+400\implies a_1=-377$

In general, the sequence has a pattern of

$a_n=a_(n-1)+40$

$a_n=(a_(n-2)+40)+40=a_(n-2)+2\cdot40$

$a_n=(a_(n-3)+40)+2\cdot40=a_(n-3)+3\cdot40$

and so on up to

$a_n=a_1+(n-1)\cdot40$

So this sequence is given by the rule

$a_n=-377+40(n-1)\implies \boxed{a_n=40n-417}$

I REALLY NEED HELP WITH THIS I HAVE NO CLUE WHAT IM DOING PLEASE HELP!!!!!!!!!!!!! F(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. what is f(x)-g(x)? show all of your steps and write your final answer in factored form

Answers

f(x)=9x³+2x²-5x+4
g(x)=5x³-7x+4

f(x)-g(x)=(9x³+2x²-5x+4)-(5x³-7x+4)=
=9x³+2x²-5x+4-5x³+7x-4=
=(9x³-5x³)+2x²+(-5x+7x)-4=
=4x³+2x²+2x-4

Answer; f(x)-g(x)=4x³+2x²+2x-4

Your mortgage is $135,400.00 at a 5.25% APR. If you pay $1,500.00 towards the mortgage each month, how much of your second month's payment is applied to the principal?

Answers

in the 1st month, the accrued interest is ___ (1/12) * .0525 * 135400

subtract the interest from the payment to find the change in the principal for the 2nd month

find the 2nd month's interest and subtract from the payment to find the amount applied to principal

Answer:

Correct answer D. $707.50

Step-by-step explanation:

I just took the test

Find the difference using fraction bars or a paper and pencil. Write your answer in simplest form. 7/10 - 1/2

Answers

Answer:

1/5

Step-by-step explanation: First, turn 1/2 so that the denominator is the same as the other fraction (multiply both by 5 to get 5/10). Now subtract to get 2/10. Then, divide both by 2 to get the fraction in the simplest form.

Answer:

0.2

Step-by-step explanation:

because u have to subtract it

Solve: -4 (2x + 11) = -x + 12