Answer:
r = 8.12
Step-by-step explanation:
The volume for a cylinder is V=πr^2h therefore,
v = 2279.64
h = 11ft
r = ?
2279.64 = πr^2 * 11

207.24 = πr^2

5:7 (pencils to pens)
7/12 chance that a pen from the first box will be selected.
4:4 (colour pencils to crayons)
4/8 = 1/2 chance that a crayon from the second box will be selected.
The probability of picking both:
7/12 * 1/2 = 8/24 = 1/3
Answer:
17x and 3x
Step-by-step explanation:
like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
Showing fractions can be expressed in model and number line.
Using a model, you have to draw the number of parts (denominator) and shade the number of parts (numerator).
Using a number line, the line starts from 0 to the number of the denominator. You put a marker to the number that is the same as the numerator.
Both model and number line use the value of the numerator and denominator. What makes them different is how they are presented. Model can easily be understood compared to number line.
1. ratio = 2 c of dressing / 4 lb of vegetables
Use two variables: d for the number of c of dressing and v for the number of pounds of vegetables.
Then d / v = 2/4 = 1/2 => d = v/2
Now you can make a table
v d
2 1
4 2
6 3
8 2
And you can draw a line for the points (2,1); (4,2); (6,3), (8,4) ... the slope of the graph is the ratio = 1/2
b) I already did it above as part ot the explanation: d/v = 1/2