One data is missing. You need the volume of the pool or some data that permit you to calculate this volume.
The same statement given by you is part of a problem where you know a series of data that shows the time required to fill the pool at different flow rates:
flow rate time
60 gal/h 300 h => 60 gal/h * 300 h = 18,000 gal
45 gal/h 400 h => 45 gal/h * 400 h = 18,000 gal
36 gal/h 500 h => 36 gal/h * 500 h = 18,000 gal
30 gal/h 600 h => 30 gal/h * 600 h = 18,000 gal
So for, this pool to calculated (several times) that the volume is 18,000 gal.
Now you have two hoses one with a flow rate of 40 gal / h and the other with a flow rate of 60 gal/h.
The total flow rate is the sum of the two flow rates"
total flow rate = 40 gal/h + 60 gal/h = 100 gal/h
And you just must divide the volume of the pool (18,000 gal) by the total flow rate (100 gal/h) to get the time to fill the pool:
time = volume / flow rate = 18,000 gal / 100 gal/h = 180 h.
Answer: 180h
Answer:
x = -3/2, 1
Step-by-step explanation:
1. Use Rule of One
2. Take out the constants
3. Simplify 6/3 to 2
4. Use the product rule
5. Simplify
6. Move all terms to one side
7. Simplify
8. Split the second term
9. Factor out the common terms
10. Factor out the common term (again)
11. Solve for x
Answer:
One solution
Step-by-step explanation:
To start, let's simplify the equations to slope-intercept form
y - 1/4x = =1
+1/4x +1/4x
y = 1/4x - 1
y - 2 = 4x
+2 +2
y = 4x + 2
As you can see, the equations do not have anything in common worth mentioning. The slopes are different and the y-intercepts are different, so there must be only one solution.
Feel free to ask me any questions in the comments! :D
The measure of angle 1 and 2 should add up to 180°, because it forms a straight line. The same goes for the sum of angle 3 and 4.
Since we are given the measure of angle 2, we can find the measure of angle 1 by subtracting 143° from 180°.
180°-143° = 37°
We know that the intersecting lines form 2 sets of vertical angles, which are congruent. This means that the angles opposite from each other have the same measure. Therefore, both angle 2 & 4 have a measure of 143°, while angle 1 & 3 have a measure of 37°.
They are all pretty easy all you do is multiply the cost by the amount of things you buy. For example number 4 your variables are cost (c) and songs (s). Your equation is c•s so $0.99 • s. 50 songs would be .99 • 50 which is $49.50
