Answer:
Step-by-step explanation:
Given that cesar left the college traveling 12 mph. Then, 4 hours later, Gabriel left traveling the same direction at 24 mph.
Before Gabriel started Cesar would have travelled for 4 hours
So distance travelled by Cesar in 4 hours
Thus Cesar is ahead of Gabriel by 48 miles
Difference of speed
So to catch Cesar time required = 48/difference in speed
= 4 hours
It will take 4 hours.
Answer:
The equation is: and the number is 72.
Step-by-step explanation:
We have to use mathematical notation to convert the given statement into an equation. As we don't know the exact value of number, we have to use a variable in place of the number.
Let x be the required number then
"A number decreased by 7"
"and then divided by 5"
" is 13."
For solving, multiplying both sides of equation by "5"
Adding 7 on both sides of equation
Hence,
The equation is: and the number is 72.
The rate of change of a line is regarded as the slope/ gradient (m) of the line
The slope/ gradient (m) of the line moving through points (x₁,y₁) and (x₂,y₂) is given as
On substituting the above values in the formula above we will have the slope to be
Therefore,
The rate of change of the line through (2,3) and (3,8) is 5
