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LenKa [72]
3 years ago
11

A three-digit number has tens digit two greater than the units digit and the hundreds digit one greater than the tens digit. The

sum of the tens and the hundreds digits is three times the units digit. What is the number?
Mathematics
1 answer:
Paha777 [63]3 years ago
5 0

Answer:

875

Step-by-step explanation:

As given, there is a three digit number

So, let assume three digit number be `xyz`.

Now, as given tens digit is 2 greater than the unit digit.

∴ y= 2+z

Next, the hundred digit one greater than the tens digit.

∴x= 1+y

The sum of the tens and the hundreds digits is three times the units digit.

∴x+y= 3z

Now, substituting the value in the equation.

x+y= 3z

⇒ (1+y)+y= 3\times (y-2)

solving it to get value of y

⇒ 2y+1= 3y-6

⇒-y= -7

∴ y=7

Next, finding value of z

y= 2+z

substituting the value of y and subtracting both side by 2

∴ z= 7-2= 5

Last, finding the value of x

x=1+y

substituting the value of y

∴ x= 8

xyz= 875

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Answer: Choice C

The probability of getting all heads is the same as the probability of getting all tails

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Explanation:

H = heads

T = tails

In the first row, we have HHH to signify three heads. This shows up 1 time out of 8 outcomes total (each row is a different outcome). The probability of getting HHH is 1/8.

In the last row, TTT means we got three tails. Like with HHH, it only shows up once out of eight times, so the probability of getting TTT is 1/8 as well.

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3 years ago
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Step-by-step explanation:

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3 years ago
Write 84 as a product of prime numbers
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3 years ago
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Find the product of the given complex number and its conjugate.<br> 1/5+4i
nasty-shy [4]

Answer:

-15.96

Step-by-step explanation:

A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)

Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."

Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."

Multiply the inner  numbers  ( the + 4i and the 1/5) to get + 60i. This is the "I."

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3 years ago
Y=? What is Y? Please help me!
kumpel [21]
Answer:   y = 6 mi.  .
______________________________________________
Explanation:
______________________________________________
Area of a triangle = (½) * (base) * (height) ;

or,  A = (½) * b * h ;  or,  A = b*h / 2 ;
_____________________________________
Given:  A = 24.3 mi ² ;
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___________________
Find the height, "h" ;  (in units of "miles", or , "mi" ).
__________________________
   Plug in the known values into the formula:

24.3 mi ² = (½) * (8.1 mi) *(h) ;
_____________________________
Solve for "h" (height) ;
_____________________________
(½) * (8.1 mi) = 4.05 mi  ;
______________________________
Rewrite: 
____________________________
24.3 mi² = (4.05 mi) *(h) ;  Solve for "h" ;
_________________________________________
 Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ; 
__________________________________________
   24.3 mi²  / 4.05 mi  = (4.05 mi) *(h)  / 4.05 mi ;
                                 
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              →      h = y = 6 mi. 
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