1: 0.5 and 50%
2: .2 and 20%
3: .75 and 75%
10: (1/10) and 10%
11: (3/5) and 60%
12: (1/4) and 25%
Both A and C are used within this problem. Distributing happens in the first and second step. Also, Inverse operations are used in nearly every step that is solving.
Answer:
You can determine the type of triangle using the following facts related to the converse of the pythag theorem
if a^2 + b^2 > c^2, then it is an obtuse triangle
if a^2+b^2<c^2, then it is an acute triangle
finally, if a^2+b^2=c^2, then it is a right triangle
<u><em>NOTE THAT C ALWAYS EQUALS THE LONGEST LENGTH OF THE TRIANGLE!!!</em></u>
C = children
A = adults
293 = c + a
1.50c + 2.50a = 676.50
We can use substitution to solve:
c + a = 293 subtract a to get c = 293 - a
Plug this into the second equation:
1.50(293 - a) + 2.50a = 676.50
439.5 - 1.50a + 2.50a = 676.50
439.5 + 1a = 676.50
a = 237
Substitute this into the first equation:
293 = c + 237
56 = c
Given, the density of a particular brand of gasoline = 0.737 g/ml.
13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.
First we will convert 13.4 gallon to ml.
We know that 1 gallon = 3.78541 litre
And 1 litre = 1000 ml
So we can write 1 gallon = 
= 3785.41 ml.
13.4 gallon = 
ml = 50724.494 ml.
Let's take there is x grams of gasoline
We know that density = (mass/ volume) = 
So we can write,
To find x we will multiply both sides by 50724.494. we will get,
So we have got the required answer.
Mass of gasoline = 37383.95 grams.
