Answer:
$702
Step-by-step explanation:
To find the total price of the cheese wheel that David is buying, we need to multiply the original cost to sales tax first.
Original Cost = $650
Sales Tax Percentage= 8% or 0.08
Now let's solve for how much the sales tax is.
Sales Tax = 0.08 x 650
Sales Tax = $52
Now to get the price including the tax, we simple add the original cost to the sales tax.
Total Price = $650 + $52
Total Price = $702
So the cheese wheel that David bought is $702 with tax included.
Answer:
3. D) 
2. D) 
1. B) 
Step-by-step explanation:
3.
{y = 3x + 7
{y = x - 9
x - 9 = 3x + 7
-3x - 3x
____________
−2x - 9 = 7
+ 9 + 9
__________
−2x = 16
____ __
−2 −2
[Plug this back into both equations above to get the y-coordinate of −17]; 
__________________________________________________________
2.
{−4x + 3y = 12
{−2x + 3y = −18
−½[−4x + 3y = 12]
{2x - 1½y = −6 >> New Equation
{−2x + 3y = −18
_______________
1½y = −24
____ ____
1½ 1½
[Plug this back into both equations above to get the x-coordinate of −15]; 
__________________________________________________________
1.
{−10x - 3y = −18
{−7x - 8y = 11
−⅜[−7x - 8y = 11]
{−10x - 3y = −18
{2⅝x + 3y = −4⅛ >> New Equation
_________________
−7⅜x = −22⅛
______ _____
−7⅜ −7⅜
[Plug this back into both equations above to get the y-coordinate of −4];
I am joyous to assist you anytime.
Step-by-step explanation: Victor jumps farther than Meg.
If Victor jumps 9 feet and 2 inches and Meg jumps 7 feet and 4 inches, that means that Victor jumps 1 foot 10 inches farther than Meg.
Lets learn our conversations: 1 foot = 12 inches
If Victor jumps 9 feet, that means that 9 feet = 108 inches + 2 inches, which equals 110 total inches jumped.
If Meg jumps 7 feet, that means that 7 feet = 84 inches + 4 inches, which equals 88 total inches jumped.
110 - 88 = 22 inches.
So, Victor jumped 22 inches farther than Meg, or 1 foot and 10 inches farther than Meg.
Answer:
Part 1)
------> 
Part 2)
------> 
Part 3)
------> 
Part 4)
------> 
Step-by-step explanation:
we know that
The largest cross sectional area of that sphere is equal to the area of a circle with the same radius of the sphere
Part 1) we have

The area of the circle is equal to

so

Solve for r


Find the volume of the sphere
The volume of the sphere is

For 
substitute


Part 2) we have

The area of the circle is equal to

so

Solve for r


Find the volume of the sphere
The volume of the sphere is

For 
substitute


Part 3) we have

The area of the circle is equal to

so

Solve for r


Find the volume of the sphere
The volume of the sphere is

For 
substitute


Part 4) we have

The area of the circle is equal to

so

Solve for r


Find the volume of the sphere
The volume of the sphere is

For 
substitute

