I will give you everything I can do:
11)
Lets say Car A travels at x mph. That means Car B travels at x+2 mph.
Both of them are traveling towards each others, so we can say the total speed is 2x+2.
Now i takes 3 hrs and we know the distance.
Since R*T=D
Then 3(2x+2)=270
So 2x+2=90
2x=88
x=44
12)
To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.
Now we must find the equation of the line with the given variable.
First find b.
5=3/2*4+b
b = -1
So the equation of this line is:
y=3/2x-1
13) All work will be shown below.
6-3(-2-4x)=2(3(x-4)+7)
6+6+12x=2(3x-12+7)
12+12x=2(3x-5)
12+12x=6x-10
6x=-2
x = -1/3
14)
First we must find the amount each train traveled.
The speed of F train(Freight train)=x
The speed of P train(passenger train)=x+6
Their combined speed is 2x+6
It takes 2 hrs to cover 100 miles
So 2(2x+6)=100
2x+6=50
2x=44
x=22
So the freight train covered 44 miles and the passenger train covered 56 miles.
To find average speed you must do Total Distance/Total Time.
44/2 and 56/2
Which are 22 and 28.
The average speed of F train is 22 mph and average speed of P train is 28 mph.
15) Again opposite reciprocal.
3/5 -> -5/3
Work:
-4=-3*-5/3+b
-4=5+b
b=-9
y = -5/3x-9
16)
F=kx-kx0
First kx0 = 0
So F=kx
So x=F/k
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<em>We will assume the tent is in the shape of a triangular prism.</em>
The volume of a triangular prism can be found with the following formula, where 
is the width at the base, 
is the height, and 
is the length.
Substitute in the known values.
Simplify — use multiplication.
Simplify — use division.
The volume — or in this case, the amount of living space — is 
.
Answer:
8 and 19
Step-by-step explanation:
To some this, let's first list all the factors of 152. They are;
1, 2, 4, 8, 19, 38, 76, 152.
Now, let's arrange them to reflect being multiplied to get 152.
Thus;
1 × 152 = 152
2 × 76 = 152
4 × 38 = 152
8 × 19 = 152
Also, let's do the same for their sum;
1 + 152 = 153
2 + 76 = 78
4 + 38 = 42
8 + 19 = 27
Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19
