Answer:
![p=\$1.50,\\c=\$0.75](https://tex.z-dn.net/?f=p%3D%5C%241.50%2C%5C%5Cc%3D%5C%240.75)
Step-by-step explanation:
We can write the following system of equations:
![\begin{cases}3p+2c=6.00,\\2p+3c=5.25\\\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D3p%2B2c%3D6.00%2C%5C%5C2p%2B3c%3D5.25%5C%5C%5Cend%7Bcases%7D)
Multiply the second equation by
to isolate and solve for
:
,
Now plug in
into any equation to solve for
:
.
Percentage of tip that needs to be given for hair cut = 15%
Amount of tip is calculated without sales tax.
Amount taken for the hair cut = 20
Amount of sales tax taken = 4.75
Then
Amount of tip given = (15/100) * 20
= 300/100
= 3
So the total amount required for the hair cut = 20 + 4.75 + 3
= 27.75
So 25 is insufficient amount to cover the hair cut cost with tip and sales tax. The actual amount required to cover the total cost is 27.75<span />
Answer:
Inputs:
Radius (r):
0.65
or
Diameter (d):
1.3
or
Area (A):
1.327
Unit of Lenght:
centimeter
Calculate Circumference
Result:
The circumference of a circle with diameter 1.3 is 4.084(*)
Formulas:
r = 0.65
d = 1.3
C = 4.08
C = 2·π·r C = π·d C = √4·π·A π = 3.1415
A = area of the circle
C = circumference or perimeter
r = radius, d = diameter
Step-by-step Solution:
Circumference of a cicle in terms of radius:
Circumference = 2·π·r = 2·3.14·0.65 = 4.09(*)
In terms of diameter:
Circumference = π·d = 3.14·1.3 = 4.08(*)
In terms of area:
Circumference C = √4·π·A = √4·π·1.33 = 4.09(*)
(*) 4.084 cm exactly or limited to de precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
A circumference of 4.084 centimeters is equal to:
4.084E-5 kilometers (km)
0.04084 meters (m)
40.84 millimeters (mm)
2.53768E-5 miles (mi)
0.0446632 yards (yd)
0.13399 feet (ft)
1.60787 inches (in)
Answer:
x = 4.363636...
Step-by-step explanation:
Set up a ratio
6 miles : 55 minutes
x miles : 40 minutes
Cross Multiply
55x = 40*6
55x = 240
55x / 55 = 240 / 55
x = 4.363636...