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2 years ago

What value of n makes the statement true? 6xn · 4x2 = 24x6

2 answers:

8 0

We check first the numerical coefficients of both sides of the equation if they match if we perform the operation.
(6)(4) = 24
Then, the variables. For multiplication with the same variables, the exponents are added. In the given above,
n + 2 = 6
The value of n should be 4.

snow_tiger [21]2 years ago

6 0

Answer:

n = 4

Explanation :

1. You have the following expression given in the problem above:

(6x^n)(4x^2)=24x^6

2. By the exponents properties, when you multiply powers with the same base, you must sum the exponents. In this case the base is , therefore, you must sum the exponents.

3. The result of the sum is 6, therefore, must be 4:

(6x^4)(4x^2)=24x^6

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josh is 6 years older than 4 times Kim's age. The sum of their ages is less than 31. what is the oldest Kim could be? show all y

Mice21 [21]

Answer:

4 years old.

Step-by-step explanation:

Lets say that Josh's age is j and Kim's age is k. As Josh is 6 years older than 4 times Kim's age, we can write this as an equation:

j = 4k + 6

This is, John's age is equal to four times Kim's plus 6 years.

We then know that, when summed their ages is less than 31, so:

k + j < 31

Replace John's age by our first equation:

k + 4k + 6 < 31

5k + 6 < 31

Subtract 6 in both sides:

5k + 6 - 6 < 31 - 6

5k < 25

Dividing both sides by 5:

5k/5 < 25/5

k < 5

So, Kim's age MUST be less than 5.

If we talk about discrete values, this is 1, 2, 3, 4, 5, 6...., we will say than the oldest Kim could be is 4. If Kim is 5 years old, the sum of ages is 31 and we need it ti be LESS than 31. (we are not considering fractional numbers as 4.5 years old).

So, Kim can be, at maximum, 4 years old.

7 0

2 years ago

A bookstore is hosts the stars from the Harry Potter

shepuryov [24]

Answer:

5985 can fit in the room!

Step-by-step explanation:

1) 150 * 100 = 15000

2) 6 * 6 = 36

3) 15000 - 36 = 14964

4) 14964 / 2.5 = 5985.6

5) But you can't fit almost half a person inside or create another whole person soo you round down to 5985

3 0

2 years ago

Read 2 more answers

An elephant can run one over four mile in 36 seconds. Which of the following correctly shows this rate as miles per hour?

Vesnalui [34]

It would be thirty six seconds over one-fourth mile= 144 miles per hour

7 0

2 years ago

Read 2 more answers

Jessica deposits $5,000 at the end of each year in an account earning 2.45% interest, compounded annually. What is the future va

denpristay [2]

Hi there
If the amount deposited at (end) of each year, use the formula of the (future/present) value of annuity ordinary

If the amount deposited at the (beginning) of each year use the formula of the (future/present) value of annuity due

So
FvAo=5,000×(((1+0.0245)^(5)−1)
÷(0.0245))
=26,255.38...answer

Hope it helps

8 0

2 years ago

Round to the nearest ten thousand 905154

kolbaska11 [484]

You want to round 905,154 to the nearest ten-thousands place. The ten-thousands place in your number is shown by the bold underlined digit here:

9<em><u>0</u></em>5,154

    To round 905,154 to the nearest ten-thousands place...

    The digit in the ten-thousands place in your number is the 0. To begin the rounding, look at the digit one place to the right of the 0, or the 5, which is in the thousands place.

    Since the 5 is greater than or equal to 5, we'll round our number up by

        Adding 1 to the 0 in the ten-thousands place, making it a 1.

    and by changing all digits to the right of this new 1 into zeros.

The result is: 910,000.

So, 905,154 rounded to the ten-thousands place is 910,000.

5 0

2 years ago