Simplify the expression.
Simplify the expression. - 1

Answers

Answer 1
Answer:

Answer:

D) 1,814, 400

Step-by-step explanation:

It is permutation.

nPr = n!/(n -r)!

Now we have to use the above formula and simplify.

12P10 = 12! / (12 - 10)!

= 12!/2!

=479001600/2

12P10 = 239,500,800

Now let's find 12P2

12P2 = 12!/(12 -2)!

= 12!/10!

= 479001600 / 3628800

12P2= 132

Now we have to divide 12P10 by 12P2

= 239500800/132

= 1,814,400

This will helpful.

Thank you.

Answer 2
Answer:

Answer:

1814400

Step-by-step explanation:

We are given the following expression and we are to simplify it:

\frac {_(12) P_(10) } {_(12) P_2}

The formula for solving the permutation is:

nPr = \frac {n!} { (n-r)! }

Substituting the given values in the formula one by one.

12P10 = \frac {12!} {(12-10)!} = \frac {12!} {2!} =239500800

12P2 = \frac {12!} {(12-2)!} = \frac {12!} {10!} = 132

Now dividing the two values to get:

(_(12)P_(10))/(_(12)P_2) = (239500800)/(132) = 1814400


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     Identify the like terms. 9x, 10y, –9y,  10   A. 9x and 10   B. 10y and 10   C. 10y and –9y   D. 9x and -9y

The term 25ab and which other term are like terms?   A. 25   B. 24a   C. 5ba   D. 10b

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Answers

Answer:

1) Option C

2) Option C

3) Option B

4) Option B

5) Option A

Step-by-step explanation:

1)  Identify the like terms ?

Terms are 9x, 10y, –9y,  10.

Like terms are those having same variable.

i.e. 10 y and -9y are like terms.

So, Option C is correct.

2) The term 25ab and which other term are like terms?

Option terms are 25,24a,5ba,10b

Like terms are those having same variable form.

i.e. 25ab and 5ba are like terms.

So, Option C is correct.

3) Combine like terms.

Expression 15w-28w

combine like terms means adding and subtracting like terms with same variable.

i.e. 15w-28w=-13w

So, Option B is correct.

4) Combine like terms.

Expression 9+18s- 7s

combine like terms means adding and subtracting like terms with same variable.

i.e. 9+18s- 7s=9+11s

So, Option B is correct.

5) Combine like terms.

Expression (5)/(6)x-(2)/(3)x

combine like terms means adding and subtracting like terms with same variable.

i.e. (5)/(6)x-(2)/(3)x=(1)/(6)x

So, Option A is correct.

These are my answers
1.C
2.C
3.B
4.B
5.A

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Answers

Answer:

Height = 3 inches and Base length = 7 inches

Step-by-step explanation:

1. Information provided to answer the question correctly:

Base of the triangle = x+ 4

Height of the triangle = x

Area of the triangle = 10.5 inches²

2. Find the base length and height

Let's recall the formula of the area of a triangle:

Area = (Base * Height)/2

Replacing with the values we know:

10.5 = x (x + 4)/2

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(x₁ + 7) = 0 ⇒ x₁ = -7

(x₂ - 3) = 0 ⇒ x₂ = 3

We take  x₂ as the answer because x₁ = -7 is not a valid height.

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Answers

Answer: False

Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

225

Step-by-step explanation:

9*10 = 9 times 10 = 90

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that means 1kg = half of 90 = 45

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By the way at the end of your question you put "2)1.2kg of sugar" but I don't know what that is so i ignored it