Answer:
D = .44P
Step-by-step explanation:
We need to find the slope of the line
m = (y2-y1)/ (x2-x1)
Using two points
m = (22-4.4) /(50-10)
= 17.6/40
= .44 lb/ in^2 ft
We can use the point slope form of the equation
y-y1 = m(x-x1) where y=D and x=P
D-4.4 = .44 (P-10)
Distribute
D-4.4 = .44P - 4.4
Add 4.4 to each side
D -4.4+4.4 = .44P -4.4+4.4
D = .44P
Answer:
x= -3 or x= -4
Step-by-step explanation:
Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
Answer:
The ratio of flour to sugar is 2:1
Step-by-step explanation:
Let f = weight of a bag of flour
Let s = weight of a bag of sugar
3f+2s = 32
4f = 32
We have 2 equations and 2 unknowns, we can solve
4f=32
Divide by 4
4f/4 = 32/4
f = 8
Each bag of flour weights 8 pounds
Substitute this back into the first equation
3(8) +2s = 32
24+2s = 32
Subtract 24 from each side
24-24 +2s =32-24
2s = 8
Divide by 2
2s/2 = 8/2
s = 4 pounds
Flours weighs 8 pounds and sugar weights 4 pounds
We want the ratio of flour to sugar
Flour: sugar
8:4
We can divide each side by 4
8/4: 4/4
2:1
Answer:
12 and 1/2 (12.5)
Step-by-step explanation:
