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
You already have figured the main idea. In this case, the population is growing 1.9% a year. This word can be translated into: multiplied by 101.9% (100+1.9%). That means the P0 is 6 bill, the base is 101.9%(or 1.019) and the time is 50 years. The calculation would be:
<span>P(t)=P₀a^t
</span>P(t)=6 billion * 101.9%^50= 6 billion * <span>2.56276= 15.38 billion</span><span>
</span>
$1,041,666.70 I'm not sure but that what I think the answer is
Answer:
24 pounds of Rift Valley coffee
26 pounds of Mexican Shade Grown coffee
Step-by-step explanation:
If R is pounds of Rift Valley coffee, and M is pounds of Mexican Shade Grown coffee, then:
R + M = 50
12.10 R + 13.10 M = 12.62 (50)
Substitute:
12.10 R + 13.10 (50 − R) = 12.62 (50)
12.10 R + 655 − 13.10 R = 631
R = 24
M = 26
40% of 1 km in meters is 400 meters
<h3>What is percentage :</h3>
Percentage simply means per 100. Percentage can be express as decimal or fraction.
For example 25% of 80 can be found as follows:
- 25 / 100 × 80 = 2000 / 100 = 20
From the example, 25% of 80 is 20 .
Therefore, 40% of 1 km(m) can be found as follows:
Let's convert km to metres.
1000m = 1km
40% of 1000
40 / 100 × 1000 = 40000 / 100 = 400metres
Therefore, 40% of 1 km in meters is 400 meters
learn more on percentage here: brainly.com/question/19540991?referrer=searchResults
