Answer: The required number of boys in the class is 18.
Step-by-step explanation: Given that in math class, the girl to boy ratio is 8 to 6 and there are 24 girls in the class.
We are to find the number of boys in the class.
Let 8x and 6x represents the number of girls and boys in the class.
Then, according to the given information, we have
Therefore, the number of boys in the class is given by
Thus, the required number of boys in the class is 18.
Answer:
The return trip take 5 minutes 27 seconds
Step-by-step explanation:
Let
x -----> the time it take the cheetah travels to go from its resting place to a rock near a river in hours
y ----> the time it take the cheetah the return trip to its resting place in hours
we know that
The distance from its resting place to a rock near a river is the same that the return trip
The average speed multiplied by the time is equal to distance
so
The total time is 15 minutes
Convert to hours
15 min=15/60 hours
x+y=(15/60)
x+y=1/4
4x+4y=1 -----> equation A
40x=70y ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point ( 0.1591,0.0909)
see the attached figure
The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours
The time it take the cheetah the return trip to its resting place is 0.0909 hours
Convert to minutes and seconds
0.0909 hours=0.0909(60)=5.454 minutes
o.454 minutes=0.454(6)=27.24 seconds
therefore
The return trip take 5 minutes 27 seconds
<u><em>To the river</em></u>
The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours
The rate is 40 mph
To find out the distance multiply the average rate by the time
<em>Find out the distances</em>
The distance from its resting place to a rock near a river is
<u><em>From the river</em></u>
The time it take the cheetah the return trip to its resting place is 0.0909 hours
The rate is 70 mph
To find out the distance multiply the average rate by the time
<em>Find out the distances</em>
The distance of the return trip is
Both distances are the same
Answer:
h less-than 2
Step-by-step explanation:
Let
h ---> the number of hours
y ---> the total charge in dollars
we know that
The linear equation is slope intercept form is equal to
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
we have
<em>Grayson</em>
The slope is equal to
The y-intercept is
so
The total charge is equal to
----> equation A
<em>Ian</em>
The slope is equal to
The y-intercept is
so
The total charge is equal to
----> equation B
For what number of hours does Grayson charge more than Ian?
The inequality that represent this situation is
solve for x
Group terms
Divide by 10 both sides
Rewrite the expression
----> h less than 2 hours