Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Answer:
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<em></em>
<em></em>
Step-by-step explanation:
Given
--- distance from building
--- height of the building
Let the height of the building be H. So:
Make H the subject
The required height s:
<em></em><em> --- approximately</em>
That would be option D.
A quotient is the result of a division.
Answer:
440miles
Step-by-step explanation:
We are told that mileage of 165 = 3/8 of a tank of gas
as inverse 5/8 would be left and the product we seek to add to 165.
We find a ratio to distribute 165 as 3/8
First we double and find 6/8 is an even number and = 330 miles.
= 3/4 ratio and that is 6:8 so 2 extra we seek to make a full tank before we add is 1/3 of 330 miles as 1/3 = 2/8 to make this balance only in this question is this possible as we call it distribution like percentage 10% added to 100 would always be 10 just like it is added, but finding 10% of 110 is different.
Therefore so would 1/3 afterwards once we find 1/3 = 2/8 is not the same as finding 1/3 after we find the full tank.
1/3 of 330 = 110
110 +330 = 440miles
I hope that helps you see how to work out close range distribution.
As now not that it's asking you to see 1/3 of 440miles but in same principal as explained about the 10% theory, you see 1/3 of 440 miles is now more than 110. it is 1/3 x 440 = 146.66 = 1/3. and so we can prove distribution is possible and say 2/8 = 1/3 even though in relation to 1 as a whole number its not true. It's only true in distribution.
