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Alexus [3.1K]
3 years ago
5

Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digi

t numbers. Find the two-digit number which is 2 times the sum of its digits
Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

  18

Step-by-step explanation:

A two-digit number (xy) will have the value 10x+y. The sum of its digits is x+y.

You want ...

  10x +y = 2(x +y)

  1 ≤ x ≤ 9

  0 ≤ y ≤ 9

The equation can be simplified to ...

  8x = y

The only single-digit values for x and y that satisfy the requirements are ...

  x = 1, y = 8

The two-digit number of interest is 18.

_____

<em>Check</em>

Its sum of digits is 1+8 = 9. 2×9 = 18.

_____

<em>Comment on the relationship in the problem</em>

Many of us learned our multiplication tables for 9s by remembering that the sum of digits of 9n was 9, and that the leading digit of the product was n-1.

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Solve the following, where 0° 0, then find cot
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Answer:

Nativism is the political position of preserving status for certain established inhabitants of a nation as compared to claims of newcomers or immigrants. It is characterized by opposition to immigration based on fears that the immigrants will distort or spoil existing cultural values.

Step-by-step explanation:

3 0
3 years ago
Which expressions are equal to 6^3•2^6/ 2^3
True [87]

Answer:

2^6 x 3^3 and 12^3

Step-by-step explanation:

First, solve

6^3 x 2^6/2^3

216 x 64/8

13824/8 = 1728

lets solve for the answers

6^3 = 216

Therefore, 6^3 is not an answer

2^6 x 3^3= 64 x 27 = 1728

because both expressions are equal to 1728, this is an answer. this answer can also eliminate 2^3 x 3^3 because it has a lower exponent than the answer that is equal to 1728. therefore, the value of it must be smaller than 1728

12^3 = 1728

This answer is correct, because both values are equal to each other, meaning that 12^6 is larger than 1728  

Therefore, your answers will be 2^6 x 3^3 and 12^3          

3 0
3 years ago
Which is the inverse of the function f(x)=1/3x+5
jolli1 [7]

Answer:

f-¹(x) =(1-5x) /3x.

Step-by-step explanation:

f(x)=1/(3x+5)

Let y=1/(3x+5)

Exchanging x and y,

x=1/(3y+5)

3y+1=1/x

3y=1/x-5

3y=(1-5x) /x

y=(1-5x)/3x

f-¹(x) =(1-5x) /3x.

5 0
3 years ago
Read 2 more answers
What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = −16? 1 −0.25 −1 0.25
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The n-th term is given by

a_n=a_1\cdot r^{(n-1)}\qquad\text{where r is the common ratio}

Then we can find the common ratio from the given terms.

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The appropriate choice is -1.

8 0
4 years ago
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Nikolay [14]

Answer:

TU=4

Step-by-step explanation:

WU cuts the triangle in half (hint- angleTUW=90°)

so VU=TU

therefore, TU=4

5 0
3 years ago
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