Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the numbe
r of pounds of limes and let p be the number of pounds of pears. Which system of linear equations models the scenario?
l + p = 9.5 and 1.5l + 0.5p = 9
l + p = 9 and 0.5l + 1.5p = 9.5
l = p + 9 and 9.5l + 0.5p = 0.5
l + p = 9.5 and 1.5l + 0.5p = 9
l + p = 9 and 0.5l + 1.5p = 9.5
l = p + 9 and 9.5l + 0.5p = 0.5
1 answer:
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Answer:
The radius is increasing at a rate of 62832 cubic millimeters per second when the diameter is of 100 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere of radius r is given by:
How fast is the volume increasing:
To find this, we have to differentiate the variables of the problem, which are V and r, implicitly in function of time. So
The radius of a sphere is increasing at a rate of 2 mm/s.
This means that
How fast is the volume increasing (in mm3/s) when the diameter is 100 mm?
Radius is half the diameter, so
Then
The radius is increasing at a rate of 62832 cubic millimeters per second when the diameter is of 100 mm.
Answer:
15/12
Step-by-step explanation:
and it says don't reduce otherwise u could also say 5/4