Answer:
30
Step-by-step explanation:
Students performing in the school concert=40%
let the students in the class be x
hence 40% of the class=12
where 40%=40/100=4/10=2/5 and of means multiplication
(2/5)*x=12
multiplying both sides by 5/2
hence the equation becomes
x=12*5/2
x=60/2
x=30
so the total students in the class are 30
<h3><u>The first number, x, is equal to 955.</u></h3><h3><u>The second number, y, is equal to 191.</u></h3>
x = 5y
x - y = 764
Because we have a value for x, we can plug it into the second equation to solve for y.
5y - y = 764
Combine like terms.
4y = 764
Divide both sides by 4.
y = 191
Because we have a value for y, we can solve for x.
x = 5(191)
x = 955
Answer:
Domain; [-1, 3)
Range; (-5, 4]
Step-by-step explanation:
The domain of a function is defined as the set of x-values for which the given function is real and defined. In order to find the domain of the graphed function, we have to determine the lowest and the highest x-values for which the function is defined. From the graph, the least value of x is -1 while the greatest x value is 3 but the function is not defined at this point. Therefore the domain of the function is;
[-1, 3)
On the other hand, the range refers to the set of y-values for which the function is real and defined. The least y-value from the given graph is -5 while the greatest y -value is 4. Therefore, the range of the graphed function is;
(-5, 4]
Answer:
629.92 
Step-by-step explanation:
The minimum volume of the can that can hold 4 tennis balls must have at least the same volume as 4 tennis balls.
The volume of one tennis ball, V = 
where r = radius of the tennis ball
The diameter of a ball = 6.7 cm
Its radius will be = 6.7 / 2 = 3.35 cm
Volume, V, will be:
V = 157.48
Hence, the volume of 4 balls will be:
4 * V = 4 * 157.48 = 629.92
The minimum volume that the cylindrical can has to have is 629.92 .
