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Nadya [2.5K]
3 years ago
12

I'm thinking of a ten-digit integer whose digits are all distinct. It happens that the number formed by the first n of them is d

ivisible by n for each n from 1 to 10. What is my number?
Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0
The problem here takes a brilliant mind to answer this. This problem can easily be answered using programming because we can not then and there push all the possibilities using paper and pen.
The answer is 3816547290. 
Trying all the possibilities starting form 1000000080 (we are sure that the last number should be 0). Then traversing that number until 9999999990. Each traverse, check the number if its divisible to n, so on and so forth.
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Solve for c.<br> a(b-c)=d
Lisa [10]

Answer:

D: c=(ab-d)/a

Step-by-step explanation:

a(b-c)=d

ab-ac=d

ab=ac+d

ab-d=ac

(ab-d)/a=c

5 0
3 years ago
Read 2 more answers
What is the inverse of the function below?<br> f(x) = 3^x
lilavasa [31]

Answer:

log ^3 (x)

Step-by-step explanation:

See the image below:)

6 0
3 years ago
The cost c (in dollars) for the fuel and maintenance of a go-cart is given by c=10x+1200, where x is the number of rides. It cos
Olin [163]

Answer: it will take 40 rides to break even.

Step-by-step explanation:

Profit = Revenue - total cost

At the point of break even, there is no profit. It means that

revenue = total cost

The cost c (in dollars) for the fuel and maintenance of a go-cart is given by

c = 10x + 1200

where x is the number of rides. It costs $40 per ride. This means that the revenue gotten from x rides is 40x.

In order to break even, it means that

40x = 10x + 1200

40x - 10x = 1200

30x = 1200

x = 1200/30

x = 40

4 0
3 years ago
A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is t
maria [59]
Answer:  22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) * (x) = (eight of the elephant)  ;  Solve for "x" .
_____________________________________________________
   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
    
   → (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;
________________________________________________________
     →  x  = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
     →  Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
     →  x = (<span>9*10</span>³) / (4*10²) =  (9*10⁽³⁻²⁾) / 4  =  (9*10¹) / 4  ;
__________________________________________________________  
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.
__________________________________________________________
4 0
3 years ago
I don't understand this question, picture attached.
mina [271]

We can find this using the formula for arc length (where r is the radius of the circle and \theta is the central angle in radians):

\textrm{Arc Length} = r\theta


In our problem, we are given 12 = 8\theta. This means that:

\theta = \dfrac{12}{8} = \boxed{\frac{3}{2}}


The measure of the angle is 1.5.

5 0
3 years ago
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