Answer:
The mentioned number in the exercise is:
Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
- x = hundredths digit
- y = tens digit
- z = ones digit
We can write:
- x = z + 1 (the hundreds digit is one more than the ones digit).
- y = 2x (the tens digit is twice the hundreds digit).
- x + y + z = 11 (the sum of the digits is 11).
Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
- x + y + z = 11
- (z + 1) + y + z = 11 (remember x = z + 1)
- z + 1 + y + z = 11
- z + z +y + 1 = 11 (we just ordered the equation)
- 2z + y + 1 = 11 (z + z = 2z)
- 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
- 2z + y = 10
- 2z + (2x) = 10 (remember y = 2x)
- 2z + 2x = 10
- 2z + 2(z + 1) = 10 (x = z + 1 again)
- 2z + 2z + 2 = 10
- 4z + 2 = 10
- 4z = 10 - 2
- 4z = 8
- z = 8/4
- <u>z = 2</u>
Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
- x = z + 1
- x = 2 + 1
- <u>x = 3</u>
And we'll use the second equation to obtain the value of y (the tens digit):
- y = 2x
- y = 2(3)
- <u>y = 6</u>
Organizing the digits, we obtain the number:
- Number = xyz
- <u>Number = 362</u>
As you can see, <em><u>the obtained number is 362</u></em>.
Answer:56
Step-by-step explanation:do 180-68, then divide by 2(because the x angles are equal to each other.
There are only 2 perfect cubes in between 1000 and 2000.
11^3 = 1331
12^3 = 1728
Example: For every 3 boys, there are 4 girls.
Ratio: 3:4 also 3/4
How to use it?
Example question: If there are 3 boys for every 4 girls and there are 27 boys in the class, how many girls are there?
How to set up the ratio:
3 27
— = —
4 x
Solve it?
[Cross Multiply]
3x= 108
[Divide]
X= 36
How to check it?
Reduce 27/36 and see if it equals 3/4
OR
Plug both into the calculator and both should come out with the same decimal. In this case it is 0.75
"<span>a number that is equal to five less than b"
</span>n-a number
n = b - 5
