If you are given y = (-3/7)x - 2 and you want it in the form Ax+By = C, then...
y = (-3/7)x-2
7*y = 7*( (-3/7)x-2) ... multiply both sides by 7
7y = -3x-14 ... distribute and multiply
7y+3x = -3x-14+3x ... add 3x to both sides
3x+7y = -14
The standard form equation is 3x+7y = -14
(7 + 5i) - ( -9 + i)
= 7 + 5i - (-9) - (i)
= 7 + 5i + 9 - i
= 16 + 4i
= 4i + 16
Answer:
Volume = 1330.6cm³
Step-by-step explanation:
Step one
This problem bothers on the mensuration of solid shapes a cylinder.
We know that the volume of a cylinder is expressed as
V= πr²h
Step two
Given data
Base of the cylinder /diameter = 11cm
Hence radius = 11/2= 5.5cm
Length /height of cylinder = 14cm
Step three
Substituting our given data we have
Volume = 3.142*(5.5)²*14
Volume = 3.142*30.25*14
Volume = 1330.637cm³
to 1 decimal place we have
Volume = 1330.6cm³
Unit cost of a ticket = Income from ticket sales / number of tickets sold:
$1250
--------------- = $6.58 per ticket
190 tickets
Again:
$1175
--------------- = $6.71
175 tickets
While ticket prices do change (usually increase) from year to year, it's unusual to see such a situation here.
Don't have any guidelines by which to determine the "fixed cost of a ticket".
If we use the cost of a ticket of 2 years ago ($6.58/ticket), then the income from the sale of 225 tickets this year would be ($6.58/ticket)(225 tickets), or $1480.50.
When grades are expressed as a quantity of 1, such as two feet per second or 5 miles per hour, they are called unit rates.
