Answer:
s / ( 2 pi * h) = r
Step-by-step explanation:
s = 2 * pi * r * h
Divide each side by 2 * pi * h
s / 2 pi h= 2 * pi * r * h/ ( 2 pi h)
s / ( 2 pi * h) = r
Answer: (y + 3) = -1/3 (x - 2)
Step-by-step explanation:
Point-slope form has the form of
y - y1 = m (x - x1)
Where
y1 is the y-value of a point on the line
x1 is the x-value of a point on the line
m is the slope of the line
The problem already gives a point on the line, (2, -3)
(y + 3) = m (x - 2)
Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )
The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is
3x - y = 4
When rearranged to slope-intercept form, we get
y = 3x - 4
Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.
Answer:
8 (2 g + 1) (4 g^2 - 2 g + 1)
Step-by-step explanation:
Factor the following:
64 g^3 + 8
Factor 8 out of 64 g^3 + 8:
8 (8 g^3 + 1)
8 g^3 + 1 = (2 g)^3 + 1^3:
8 (2 g)^3 + 1^3
Factor the sum of two cubes. (2 g)^3 + 1^3 = (2 g + 1) ((2 g)^2 - 2 g + 1^2):
8 (2 g + 1) ((2 g)^2 - 2 g + 1^2)
1^2 = 1:
8 (2 g + 1) ((2 g)^2 - 2 g + 1)
Multiply each exponent in 2 g by 2:
8 (2 g + 1) (4 g^2 - 2 g + 1)
2^2 = 4:
Answer: 8 (2 g + 1) (4 g^2 - 2 g + 1)
Question:
The admission fee at a carnival is $3.00 for children and $5.00 for adults. On the first day 1,500 people enter the fair and $5740 is collected. How many children and how many adults attended the carnival?
Answer:
Number of children and adults attended the carnival are 880 and 620 respectively
Step-by-step explanation:
Given:
The admission fee at a carnival for children = $3.00
The admission fee at a carnival for adults = $5.00
Number of people entered the fare on first day= 1500
Total amount collected on the first day = $5740
To Find:
Number of children and adults attended the carnival =?
Solution:
Let
The number of children be x
The number of adults be y
The we know that on the first day the total number children visited the fare was 1500
x + y = 1500
x = 1500 - y------------------------------(1)
Also the total fare collected was $5740
x(3) + y(5) = 5740
3x + 5y = 5740-------------------(2)
Substituting (1) in (2),
3 (1500 - y) + 5y = 5740
4500 -3y + 5y = 5740
-3y + 5y = 5740 - 4500
2y = 1240
![y = \frac{1240}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1240%7D%7B2%7D)
y = 620 adults
From 1 ,
x = 1500 - 620
x =880