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3 years ago

Write an equivalent expression for 10x + 2 using the Distributive Property.

Mathematics

2 answers:

Papessa [141]3 years ago

5 0

It would be D, 2 x 5x is 10x, 2 x 1 is 2, if you put them together it makes 10x + 2

Setler [38]3 years ago

5 0

Answer:

Option D) 2(5x + 1)

Step-by-step explanation:

We are given an expression in the question:

$10x + 2$

We have to find the equivalent expression to the given expression.

Distributive Property:

The distributive property helps to multiply a sum by multiplying each addend separately and then add the products.

$a(b+c)=a(b)+a(c) = ab +ac$

$x(10 + 2)\\=x(10)+x(2)\\=10x + 2x\\=12x$

which is not equal to the given expression.

$10(x + 2)\\=10(x)+10(2)\\=10x+20$

which is not equal to the given expression.

$2(x + 2)\\=2(x) + 2(2)\\=2x +4$

which is not equal to the given expression.

$2(5x + 1)\\=2(5x) + 2(1)\\=10x + 2$

which is equal to the given expression.

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Find the common difference for the following sequence and fill in the missing terms. Show all calculations. 2, 13, 24, 35, __, _

Julli [10]

Step-by-step explanation:

Hey there!

Given sequences are; 2 , 13 , 24 , 35 , _ , _ .

Now,

Common difference (d) = 2nd term - 1st term. = 13-2 = 11

When we subtract 1st term from 2nd term we find 11 and when we subtract 2nd term from 3rd term we get 11. This means our common difference is 11.

Now, let's find the nrh term of the sequence.

nth term= a1 + (n-1)d ( a1= 1st term, d= common difference)

nth = 2+ (n-1) 11

= 2 + 11n - 11

= 11n - 9

Let's check if we have got nth term correct.

a1= 1*11 - 9 = 2

a2 = 2*11-9 = 13

a3 = 3*11 - 9 = 24

a4 = 4*11-9 = 35

So, we got our nth term.

Let's find remaining sequence.

a5= 5*11 - 9 = 46.

a6= 6*11 - 9 = 57.

Therefore, the remaining terms are : 46 and 57.

Hope it helps...

7 0

2 years ago

Read 2 more answers

What’s the answer, and how do I find it step-by-step?

pshichka [43]

Answer: 16p^8q^4r^8 The yellow one

Step-by-step explanation:

Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2

Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2

Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2

Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one

4 0

2 years ago

PLEASE HELP ME W/ MATH ASAP!!

larisa [96]

Use similarity property:

14 / (14+6) = 21 / (21 + (x+4))

14/20 = 21/(x+25) cross multiplication property

14*(x+25) = 20*21

14x + 350 = 420

14x = 70

x = 70/14 = 5.

8 0

3 years ago

Read 2 more answers

Ethan borrowed $2,190 for a new dirt bike. He will pay the money back in 3 years with a simple interest rate of 2.5%. How much i

Taya2010 [7]

Answer:

<h2>The interest ethan will pay is $164.25</h2>

Step-by-step explanation:

To calculate the interest paid by ethan on the borrowed bike using the formula.

Simple Interest = Principal * rate * time/100

Principal = $2,190, rate = 2.5%, time = 3years

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