Answer:
There are no solutions
Step-by-step explanation:
Let's let "5x" represent the number of boys in the school play and "7x" represent the number of girls in the school play. 5x = boys 7x = girls If we know that the total number of students in the play equals 48, then that must be that both the number of boys and girls combined must equal 48: 5x + 7x = 48 12x = 48 x = 4 Now, take your x-value and plug it into both the boys' and girls' values to figure out how many boys and girls there are in the play: 5x = 5 (4) = 20 boys
7x = 7 (4) = 28 girls To find out how many more girls there are than boys in the play, just subtract the number of girls minus the number of boys: # girls - # boys = 28 - 20 = 8 This means that there are 8 more girls than boys in the school play
Answer:
The correct option is D.
8π = 1/3 * π * (r)² * 6
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 8π
r = radius
h = height = 6cm
π = pi
v = 1/3 * π * r² * h
we replace with the known values
8π = 1/3 * π * (r)² * 6
If we look at the options, the correct option is D.
Answer:
2.
Step-by-step explanation:
I counted how many thirty-fives there were in the set of data.
I hope this helps, have a nice day.
Answer:
Step-by-step explanation:
If you can mow a lawn in 2 hours, then you get 1/2 of the job done in 1 hour.
If your friend can mow the same lawn in 3 hours, then he can get 1/3 of the job done in 1 hour.
The equation for the time it would take for both of you to do the job together, then, is

where x is the number of hours it takes for both of you to do this job. Get rid of the denominators to solve for x. Do this by multiplying everything by the LCD, which is 6x.
which simplifies to
3x + 2x = 6 and
5x = 6
x = 6/5 or 1 1/5 hours