Two more than three times a number is the same as eight less than twice the number. Find the number

A group of friends wants to go to the amusement park. They have $469.75 to spend on parking and admission. Parking is $10.75, an

attashe74 [19]

Answer:

12

Step-by-step explanation:

469.75-10.75 =

459 ÷ 38.25 =

12

8 0

1 year ago

What is the greatest common factor of 3, 24, and 27

patriot [66]

GCF(3, 24, 27) = 3
Steps:

Prime factorization of the numbers:

3 = 3
24 = 2 × 2 × 2 × 3
27 = 3 × 3 × 3

GCF(3, 24, 27)
= 3

8 0

2 years ago

Read 2 more answers

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

spin [16.1K]

The other endpoint is (1, -17).

The midpoint formula is:

$m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Using our midpoint and endpoint, we have:
$(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}
$

For the first equation (to find the x-coordinate) we will multiply both sides by 2:
$6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2$

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
$-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2$

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).

4 0

2 years ago

A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?

serious [3.7K]

Answer:

h = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c) = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c) = (1/3) * π * r² * h

And we have that V(c) = 108*π

Then:

108 * π = (1/3) * π * r² * h (1)

We know diameter of the circular base is 12 units, according to that

r = d/2 ⇒ r = 12/2 r = 6 units

Then:

108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length

Therefore:

108 = (1/3) * 36 * h

h = ( 108* 3 )/ 36

h = 9 units of length

7 0

3 years ago

Using the quadratic formula, what is the value of x for x^2-4+5=0

PSYCHO15rus [73]

value of x is: x= i and x= -i

Step-by-step explanation:

We need to find the value of x from $x^2-4+5=0$ using quadratic formula.

The term is: $x^2+1=0$

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

Where a = 1, b=0,c=1

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{0\pm\sqrt{(0)^2-4(1)(1)}}{2(1)}\\x=\frac{\pm\sqrt{-4}}{2}\\x=\frac{\pm2i}{2}\\x=\pm i$

So, value of x is: x= i and x= -i

Keywords: Quadratic formula

Learn more about quadratic formula at:

#learnwithBrainly

4 0

2 years ago