What are the number lines though?
Give more info.
Answer: Step 3
Step-by-step explanation: She was going fine until she divided wrong.
12= 4f Divide both sides by 4 to isolate f
12/4 = f
3 = f
4 * 3 =12
The train is travelling at 80 miles per hour, this can be represented by 80mi/h
As the symbol suggests, you find the value of speed by dividing the amount of miles by the amount of hours.
Let S be speed, D be distance and T be time
we get S=D/T so we have also T=D/S
as such, the time to go 288 miles is simply:
Answer: 2.5 mL
Step-by-step explanation:
Given : A patient is given a solution containing 0.625 g of calcium carbonate.
i.e. Patient required calcium carbonate = 625 mg [∵ 1 g = 1000 mg]
Let x be the amount of solution ( in millimeters) given to the patients.
Ratio of amount of calcium carbonate (mg) to amount of solution (ml) =![\dfrac{625}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B625%7D%7Bx%7D)
If the calcium carbonate solution contains 1250 mg per 5 mL,
Then, Ratio of amount of calcium carbonate to amount of solution =![\dfrac{1250}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B1250%7D%7B5%7D)
By using proportion we have :-
![\dfrac{625}{x}=\dfrac{1250}{5}\\\\\Rightarropw\ x=\dfrac{5\times625}{1250}=2.5](https://tex.z-dn.net/?f=%5Cdfrac%7B625%7D%7Bx%7D%3D%5Cdfrac%7B1250%7D%7B5%7D%5C%5C%5C%5C%5CRightarropw%5C%20x%3D%5Cdfrac%7B5%5Ctimes625%7D%7B1250%7D%3D2.5)
Hence, 2.5 mL solution were given to the patient.
Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change = ![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change = ![\frac{f(3)-f(1)}{3-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%283%29-f%281%29%7D%7B3-1%7D)
= ![\frac{120-60}{3-1}](https://tex.z-dn.net/?f=%5Cfrac%7B120-60%7D%7B3-1%7D)
= 30