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:
F. 6 x 22
Step-by-step explanation:
- 6 has more than two factors ( 1, 6, 2, 3), which makes it a composite number.
- 22 has more than two factors (1, 22, 2, 11), which makes it a composite number.
- Therefore, F is the correct answer.
Answer:
Just add the painted miles
2 1/6 + 1 2/3
=3 5/6
then we subtact the total miles that wanna be painted which is 6
6 - 3 5/6
=2 1/6
The answer B
Answer:

Step-by-step explanation:
The given system of linear equations is:

We have to solve the equations for the values of
.
Let us use elimination method in which we eliminate one of the variables from the two variables.
For this, let us multiply the first equation by
and second equation by 
Now, the equations become:

Now, let us add (1) and (2):

Using the equation:

Putting value of
:

So, the answer to the system of linear equations is:

Answer:
x=8.
Step-by-step explanation:
x+(-13)=-5 makes x =8.
reason:
(-13)+??=-5.
-5+8=-13
therefore x=8