$6.75 + $4.25 = $10.00
$15.95 - $10.00 = $5.95
The answer is $5.95
8 x - 4 (5 - x) = -44
mutiply the bracket by -4
(-4)(5) = -20
(-4)(-x)= 4x
8x-20+4x= -44
8x+4x-20= -44 ( combine like terms )
12x-20= -44
move -20 to the other side
sign changes from -20 to +20
12x-20+20= -44+20
12x= -44+20
12x= -24
divide both sides by 12
12x/12= -24/12
Answer: x= -2
math teacher said its associative
Answer:
If 
, the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:
Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:
Where 
is the altitude of the cone, measured in inches. If , then:
And:
Given that 
, the following second-order polynomial is obtained:
Roots can be found by the Quadratic Formula:
As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.
We know,
1 unit : 5 feet
so, 120 ft = (120 / 5) units
= 24 units
75 ft = (75 / 5) units
= 15 units
∴ Dimensions of scale drawing is 24 units by 15 units.
