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3 years ago

How many distinct arrangements can you make using the letters in the word experiment

1 answer:

8 0

E x p e r i m e n t

Total number of letters = 10

Repeated letters = 3 e

Total arrangement from the 10 letters = 10!

Because of the repeated letters = 10! / 3!

   = (10 × 9 × 8 × 7× 6 × 5 × 4 × 3!) / 3!

   = 10 × 9 × 8 × 7× 6 × 5 × 4

   = 604800

604800 distinct arrangements.

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Use the properties of operations to determine if each pair of expressions is equivalent

SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

Solution:

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

And the two expressions are:

$\frac{1}{2}(4-2 x) \text { and } 2-2 x$

Now, we know that, there are four (4) basic properties of operations:

Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

$\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}$

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x

Hence, the given two expressions are not equal.

3 0

3 years ago

Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

Anything less than 5 rounds down while 5 and anything more rounds up. Therefore...

15.3 rounds to 15

7.9 rounds to 8

7.4 rounds to 7

So, his answer is reasonable.

8 0

2 years ago

Please explain number 10 in a step by step process.

Aleonysh [2.5K]

Good evening ,

______________

Answer:

a=3

___________________

Step-by-step explanation:

Look at the photo below for the answer.

3 0

3 years ago

Read 2 more answers

A rancher is putting a fence around a square animal pen. The perimeter of the pen is 32 feet. The fence posts will be 16 inches

Crazy boy [7]

21 fence posts. i dont know how to draw a picture on this site, but you covert 16in to ft and then divide 32 by 1.5

4 0

3 years ago

Your school district cancels schools when more than 2.5 inches of snow accumulate on the ground each hour. Snow is currently acc

kari74 [83]

Answer:

Extra snow needed > 0. 3 inch

Step-by-step explanation:

Given that:

Cancelation occurs when > 2.5 inch of snow accumulates each hour

Accumulation rate = 11/5 inch per hour

Extra snow Accumulation needed to cancel. School ;

Extra snow needed > cancelation volume - current rate

Extra snow needed > (2.5 - 11/5)

Extra snow needed > 0. 3 inch

5 0

3 years ago