Answer:
16
Step-by-step explanation: your welcome
Roberto overtakes Juanita at the rate of (7.7 mi)/(11 h) = 0.7 mi/h. This is the difference in their speeds. The sum of their speeds is (7.7 mi)/1 h) = 7.7 mi/h.
Roberto walks at the rate (7.7 + 0.7)/2 = 4.2 mi/h.
Juanita walks at the rate 4.2 - 0.7 = 3.5 mi/h.
_____
In a "sum and diference" problem, one solution is half the total of the sum and difference. If we let R and J be the respective speeds of Roberto and Juanita, we have
R + J = total speed
R - J = difference speed
Adding these two equations, we have
2R = (total speed + difference speed)
R = (total speed + difference speed)2 . . . . . as computed above
y = 25x / 5 is each function is an example of exponential growth or decay.
What does exponential growth look like in math?
- A typical illustration of exponential expansion is population increase. Take a population of bacteria as an example. It seems sense that the rate of population increase would be inversely correlated with the population's size.
- After all, the number of bacteria grows more quickly the more there are for them to reproduce.
y= 25/7(7/5) x
y = 25/5 x
y = 25x / 5
Learn more about exponential growth
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Answer:
72 cubic inches
Step-by-step explanation:
Volume of cone =
--1
Volume of cylinder =
--2
We are given that a cylinder should fit exactly inside the cone
On comparing 1 and 2 we can see:

Since we are given the volume of cone is 24 cubic inches .
So, 


Hence the volume of cylinder is 72 cubic inches
Option D is correct.
Answer: The correct option is
(D) 60.
Step-by-step explanation: Given that the number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively.
After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5.
We are to find the number of stamps that Kaye had more than Alberto.
Let the number of stamps Kaye and Alberto has are 5x and 3x respectively.
Then, according to the given information, we have

So, the number of stamps that Kaye had = 5 × 30 = 150
and
the number of stamps that Alberto had = 3 × 30 = 90.
Therefore, the number of stamps that Kaye had more than Alberto is

Thus, Kaye had 60 stamps more than Alberto.
Option (D) is CORRECT.