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Thepotemich [5.8K]
3 years ago
11

A two digit number is such that, the sum of its digit is 13.When the digits are interchange, the original number is increased by

9. Find the original number.​
Mathematics
1 answer:
wlad13 [49]3 years ago
4 0

Answer:

Concept: Mathematical Representation

  1. You have a two digit # __
  2. The sum of the two digit # = 13
  3. The original # increased by 9
  4. Hence we must find values that sum to 13. *Note they must be independently standing.
  5. 8+5, 9+6, 7+6 , 6+7 , and etc
  6. The value must also increase by 9
  7. So logically it would be any result that when switched that value would be 76-67= 9.
  8. So the value must be 67
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Explain why 13233345364715 is a composite no.​
rodikova [14]

Answer:

A composite number has more than two factors.  In this case, the number 13233345364715 has more than two factors, so it is composite.  

Step-by-step explanation:

Numbers can be classified as prime or composite.  Prime numbers have only two factors, 1 and the number itself.  For example, 13 is a prime number because only 1 and 13 can be multiplied together to get 13.  However, a composite number has more than two factors.  In the case of the numer 13233345364715, I know that there are more than two factors because the number ends in 5, which means it has a factor of 5.  To confirm, divide 13233345364715/5 = 2646669072943. This large of a number may also have other factors, however, since you now know it has at least four factors, it is composite.  

6 0
3 years ago
Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).
DochEvi [55]

Let y=ab^x, as described in the problem statement. Plugging in x=2 and x=5 gives us the equations 18=ab^2 and 60.75=ab^5. Since a,b are nonzero, we divide the second equation by the first to get \frac{27}{8}=b^3, which means that b=\frac{3}{2}, after taking the cube root. Plugging this value for b into the first equation, we now have 18=a(3/2)^2=\frac{9a}{4}. Solving gives a=8, and our desired exponential equation is \boxed{y=8\left(\frac{3}{2}\right)^x}.

8 0
3 years ago
1 root 12 times 1 root 2
rodikova [14]

Answer:

2\sqrt{6}

Step-by-step explanation:

1\sqrt{12} * 1\sqrt{2}

\sqrt{12} * \sqrt{2} = \sqrt{24}

\sqrt{24}  = \sqrt{2^2 * 6}  = 2\sqrt{6}

Answer:  2\sqrt{6}

7 0
3 years ago
Rewrite c(x) = x^2 + 5x + 2 / x - 3 in the form y = p (x) + r(x)/b(x) where r has degree less than b
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3 0
3 years ago
If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg
vlabodo [156]

Consider all employees.

A.

  • gross pay $32,600 - 100%,
  • total job benefits $33,600 - x%.

Then

\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.

Employee A receives 3.07% of gross pay in employee benefits.

B.

  • gross pay $32,900 - 100%,
  • total job benefits $34,000 - x%.

Then

\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.

Employee B receives 3.34% of gross pay in employee benefits.

C.

  • gross pay $33,400 - 100%,
  • total job benefits $33,900 - x%.

Then

\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.

Employee C receives 1.50% of gross pay in employee benefits.

D.

  • gross pay $33,700 - 100%,
  • total job benefits $34,700 - x%.

Then

\dfrac{33,700}{34,700}=\dfrac{100}{x},\\ \\33,700\cdot x=34,700\cdot 100,\\ \\x=\dfrac{34,700\cdot 100}{33,700}=\dfrac{34,700}{337} \approx 102.97.

Employee D receives 2.97% of gross pay in employee benefits.

Answer: correct choice is B.

7 0
3 years ago
Read 2 more answers
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