117,150
5% of 71,000 is 3,550, 3,550 c 13(years) = 46,150(what the company will add to his salary) 71,000 + 46,150 = 117,150
Answer:
The attendance was 198 children, 90 students and 99 adults.
Step-by-step explanation:
We define:
c: children attendance
s: students attendance
a: adult attendance
The equation that describes the total ticket sales is:
We also know that the children attendance doubles the adult attendance:
The third equation is the seating capacity, which we assume is full:
We start by replacing variables in two of the equations:
Then, we solve the remaining equation for a:
Then, we solve for the other two equations:
The attendance was 198 children, 90 students and 99 adults.
This means making the fraction reduced to its lowest term
example=
make the fraction 18xz/4z simpler
the z cancels each other making it remaining 18x/4
2 can go in x as in 18
=9x/2
so the simpler form of the fraction 18xz/4z
=9x/2
1) Proportion a.
7 : 28 = 2 : 8
That means that the ratio 7 / 28 is equal to the ratio 2 : 8.
You can verify the equality by simplifying to the simplest form:
7 : 28 = 1 / 4 simplest form
2 : 8 = 1 / 4 simplest form, then the proportion is right.
In words that is 7 is to 28 as 1 is to 4 ← answer
2) Proportion b.<span>. 3⁄1 = 18⁄6
</span><span>
</span><span>
</span><span>In words: 3 is to q as 18 is to 6 ← answer
</span><span>
</span><span>
</span><span>You can verify the proportion by simplifiying the second fraction:
</span><span>
</span><span>
</span><span> 18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1
</span><span>
</span><span>
</span><span>3) Proportion c. 9 : 72 = 2 : 16
</span><span>
</span><span>
</span><span>In words: 9 is to 72 as 2 is to 16 ← answer
</span><span>
</span><span>
</span><span>Proove the proportion:
</span><span>
</span><span>
</span><span> 9 / 72 = 1 / 8
</span><span>
</span><span>
</span><span> 2 / 16 = 1 / 8
</span><span>
</span><span>
</span><span>4) Proportion d. 81⁄9 = 45⁄5</span>
In words: 81 is to 9 as 45 is to 5 ← answer
Proove it:
81 / 9 = 9
45 / 9 = 9
Use the Pythagoras theorem:-
height = sqrt(5^2 - 3^2 ) = sqrt16 = 4 metres Answer.
