Which expression is equivalent to 8a + 20?A. 4(2a + 20)
B. 4(2a + 5)
C. 4(4a + 16)
D. 4(4a + 5)

Answers

Answer 1
Answer:

The expression 8a + 20 is equivalent to the expression 4(2a + 5). Then the correct option is B.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 8a + 20

Factorize the terms of the expression, then we have

⇒ 4 × 2a + 4 × 5

Take 4 common from both terms, then we have

⇒ 4 × 2a + 4 × 5

⇒ 4 (2a + 5)

The expression 8a + 20 is equivalent to the expression 4(2a + 5). Then the correct option is B.

More about the equivalent link is given below.

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Answer 2
Answer: B since 4 times 2 is 8 and 4 times 5 is 20

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X=5y.          y=10x+20 Help please
Divide p(x) = x4 + 6x3 + 7x2 − 6x − 8 by x + 4 and by x − 3 to find the remainder in each case. Make sure to use the remainder theorem.

What is the sume of the first 5 prime numbers? -18

-11

-17

-28

Answers

Prime numbers are all positive, so there are no single prime or group of primes that add to a negative number. The sum of the first five primes is +28.

What is 22.5% written as a fraction in simplest form?

Answers

x% = x/100

So

22.5% = \sf{(22.5)/(100)}

Multiply 2 on both sides:

\sf{(22.5*2)/(100*2)=(45)/(200)}

Divide by 5 on both sides:

\sf{(45/5)/(200/5)=(9)/(40)}

So your final answer is \boxed{\sf{(9)/(40)}}
225/1000 = 45/200 = 9/40
Hope this helps :)

Rate for 40 meters in 10 seconds?

Answers

The rate for 40 meters in 10 seconds is

40m/10sec (40 meters per 10 seconds)

You can turn it into a different unit of measurement by multiplication or division.

For example, if you want the rate in 1 second, you divide both units by 10 (because there are 10 seconds, and 10 ÷ 10 = 1).

40m/10sec then becomes

4m/1sec (4 meters per 1 second)

40 ÷ 10 = 4, and 10 ÷ 10 = 1

Or if you'd like it in minutes, you multiply both units by 6 (because there are 60 seconds in 1 minute, and 6 x 10 = 60).

40m/10sec becomes

240m/60sec = 240m/1min

40 x 6 = 240, 10 x 6 = 60 = 1 minute

Any Examples? Question: Use the data in the table to write a multiplication story for the number fact. Solve. Data in Table: 4 Bandages in 1 kit, 6 Cleanser Pads in 1 kit, and 12 Cotton Balls in 1 kit. The number fact they gave me is, 2x6. I know 2x6=12, I just need a multiplication story.

Answers

we have

4 Bandages in 1 kit

6 Cleanser Pads in 1 kit

12 Cotton Balls in 1 kit

Multiplication Story


The amount of a Cotton Balls kit is equal to the amount of half Bandages kit multiplied by the amount of a Cleanser Pads kit. What is the amount of a Cotton Balls kit if a Bandages kit has 4 units and a Cleanser Pads kit has 6 units?

Let

x-------> amount of a Cotton Balls in 1 kit

y-------> amount of a Bandages in 1 kit

z-------> amount of a Cleanser Pads in 1 kit

we know that

x=(1)/(2) y*z

y=4\n z=6\n x=(1)/(2) *4*6

x=2*6 --------> The number fact

x=12

therefore

The amount of a Cotton Balls in 1 kit is 12 units

vanessa and her best friend want to buy cookies they want an even amount the even number is multiplied by 2 and the product is 12 what could be the number missing




hoped it helped; )

Sum of 7x times 7 +3x+1 and -4x times 4-x+3

Answers

the answer to your question i think is 4

Prove using algebra that the difference between the squares of consecutive odd numbers is always a multiple of 8.

Answers

Answer:

See  below

Step-by-step explanation:

Lets label the consecutive odd numbers as 2n+1 and 2n+3 where n is an integer.

We need to prove that

((2n + 3)^2 - (2n + 1)^2 is a multiple of 8.

Using the difference of 2 squares on the left side:-

(2n + 3 + 2n + 1)(2n + 3 -  (2n + 1)

=  (4n + 4)(2)

= 8n + 8  which is a multiple of 8  

Final answer:

The difference between squares of consecutive odd numbers can be expressed as 4n+4 which is a multiple of 8.

Explanation:

Let's take two consecutive odd numbers. We can express an odd number as 2n+1 where n is any integer. So, the consecutive odd number will be 2n+3 (adding 2 to the previous one).

Now, the squares of these consecutive numbers are (2n+1)² and (2n+3)² respectively.

The difference between these squares is (2n+3)² - (2n+1)². Applying the formula a² - b² = (a+b)(a-b), we get 4n+4 as the answer which is a multiple of 8 as 8 divides it without a remainder.

So the difference between the squares of consecutive odd numbers is a multiple of 8.

Learn more about Consecutive Odd Numbers here:

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