Answer:
Part 1) ----->
Part 2) ------>
Part 3) ----->
Part 4) ----->
Part 5) ------>
Step-by-step explanation:
Part 1) we have
To calculate the subtraction convert the mixed numbers to an improper fractions
substitute
Convert to mixed number
Part 2) we have
To calculate the subtraction eliminate the parenthesis first
Part 3) we have
To calculate the subtraction convert the mixed numbers to an improper fractions
substitute
Eliminate the parenthesis
Convert to mixed number
Part 4) we have
To calculate the subtraction eliminate the parenthesis first
Part 5) we have
To calculate the subtraction convert the mixed numbers to an improper fractions
substitute
Eliminate the parenthesis
If x + y = 6, then solve for y to get: y = 6 - x.
Now replace y with 6 - x in both equations.
(5x)/3 + 6 - x = c
2(6 - x) = c - 4x
The upper equation is solved for c.
Now we solve the lower equation for c.
c = 2(6 - x) + 4x
c = 12 - 2x + 4x
c = 2x + 12
Since we have two equations solved for c, we substitute to get
(5x)/3 + 6 - x = 2x + 12
This is an equation in only x, so we can solve for x.
(5x)/3 - 3x = 6
5x - 9x = 18
-4x = 18
x = -9/2
Now we solve for y.
x + y = 6
-9/2 + y = 6
y = 9/2 + 12/2
y = 21/2
Now we solve for c.
c = (5x)/3 + y
c = (5 * (-9/2))/3 + 21/2
c = -45/6 + 21/2
c = -15/2 + 21/2
c = 6/2
c = 3
Answer: c = 3
Answer:
d=8.0 meters
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
We are given the volume and the height
117.23 and the height 7
117.23 = 1/3 *3.14 *r^2 * 7
117.23 = 7.3266666666 *r^2
Divide each side by 7.3266666666
117.23/7.3266666666 = 7.3266666666 *r^2/7.3266666666
16.00045496 = r^2
Take the square root of each side
sqrt(16.00045496) =sqrt( r^2)
4.000 = r
We found the radius but it wants the diameter
d = 2*r
d =2*4.0
d=8.0 meters
Answer:
so $21+45%=30.45. meaning that pair of boots cost 30.45 so two pairs of boots would cost $60.90
6
sorry it's late but hopefully it can help someone else