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Free_Kalibri [48]
3 years ago
12

How many 2-letter combinations can be created from the distinct letters in the word "mathematician"? Assume that the

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

Option A.

Step-by-step explanation:

The given word is "mathematician".

Here, total number of letter is 13 and  

Number of distinct letters = 8

We need to select 2 distinct letters from word "mathematician".

It means we need to select 2 letters from 8 distinct letters.

Total ways =^8C_2

=\dfrac{8!}{2!(8-2)!}

=\dfrac{8\times 7\times 6!}{2\times 6!}

=28

Therefore, the correct option is A.

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-1.2= y/2.4 -1.7<br> Solve for y
evablogger [386]

{\huge{\boxed{\sf{Question}}

-1.2= y\div2.4 -1.7

Solve for y

{\huge{\boxed{\sf{Answer\:with\:explanation }}}

let's put our equation first

-1.2= y\div2.4 -1.7

Flip the equation

y\div2.4-1.7=-1.2

Now follow the rule of BOMDAS/PEMDAS

{\huge{\boxed{\sf{BOMDAS }}}

  • Brackets
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  • Division
  • Addition
  • Subtraction

{\huge{\boxed{\sf{PEMDAS}}}

  • Parenthesis
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction

_________________________

{\huge{\boxed{\sf{Solve\:the\:equation}}}

_________________________

y\div2.4-1.7=-1.2

{\underline{simplify}}

0.416667y-1.7=-1.2

add 1.7 to both sides

0.416667y=0.5

Divide both sides by 0.416667

y=1.2

{\huge{\boxed{\sf{Answer}}}

y would equal 1.2

4 0
3 years ago
What is 35% of 240?
astraxan [27]

Answer:

Step-by-step explanation:

You need to multiply .35 * 240 which = 84.

of means multiply.

4 0
3 years ago
Read 2 more answers
A grocery store plans to use 75% of its area for food and beverages. If the grocery store has an area of 1,600 m², what is the a
zaharov [31]

Answer:

It's either 400 or 1,200.

Step-by-step explanation:

Other people are saying 400, I got 1,200 by multiplying 1,600 to 0.75 which gave me that answer. I do not know how other people got 400.

4 0
3 years ago
What is the 33rd term of this arithmetic sequence?<br><br> 12, 7, 2, -3, -8, …
sergiy2304 [10]
The answer be negative 158 or -158
7 0
3 years ago
You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to th
nikklg [1K]

Answer:

y = (100-10x)\%

It takes <em>10 minutes</em> to the park.

Step-by-step explanation:

Given that:

Time taken = 6 minutes

Distance left to be traveled = 40%

To find:

The equation to represent the distance y, that still needs to be traveled after x minutes.

Solution:

As per given statement, distance traveled in 6 minutes = 60%

We can say that:

Distance traveled each minute = \frac{60\%}{6} = 10%

After 1 minute, distance traveled = 10%

Distance left = 100 - 10 = 90%

After 2 minutes, distance traveled = 20%

Distance left = 100 - 20 = 80%

After x minutes, distance traveled = 10x%

Distance left, y = (100 - 10x)%

Therefore, the equation is:

y = (100-10x)\%

Time taken by the bike to reach to the park can be found by putting y = 0 (i.e. distance left to be traveled = 0)

0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}

8 0
3 years ago
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