Solve the equation.24 – 3x = 2x – 1

A. x = 4
B. x = 5
C. x = 6
D. x = 25

Answers

Answer 1

Answer: 1) add 3x to both sides
24=5x-1

2) add 1 to both sides
25=5x

3)divide by 5 to find x
x=5

B) x = 5

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The product of 8 and the sum of a number m and 6 is 12.
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Find the measure of angle A

Answers

Answer:

21 degrees

Step-by-step explanation:

Triangles have a total angle of 180 degrees.

This makes our equation:

3x+3+4x+135=180

Subtract 135 from both sides and combine like terms

7x + 3 = 45

Subtract 3 from both sides

7x = 42

Divide both sides by 7

x = 6

Plugging the number in:

3x + 3 =

3(6) + 3 =

How do I factor out a constant before factoring out a quadratic?
Factor completely: 3w^2-3w-90

Answers

$3w^2-3w-90 =0 \ \ \:3 \n \nw^2- w-30 =0 \n \na=1 , \ b= -1 , c= -30 \n \n\Delta =b^2-4ac = (-1)^2 -4\cdot1\cdot (-30) =1+120=121 \n \nw_(1)=(-b-√(\Delta) )/(2a)=(1-√(121))/(2 )=( 1-11)/(2)=(-10)/(2)=-5$

$w_(2)=(-b+√(\Delta) )/(2a)=(1+√(121))/(2 )=( 1+11)/(2)=(12)/(2)=6 \n \n Answer:\n \n w^2- w-30 =(x+5)(x-6)$

There are multiple chickens and rabbits in a cage. There are 72 heads and 200 feet inside of the cage. How many chickens and how many rabbits

Answers

Let the number of chickens be x and that the number of rabbits be y

So, the equation would be
x+y = 72. --Eq.1
4x + 2y = 200 --Eq.2

Eq.1 can also be written as
2x+2y = 144 --Eq.3

Eq.2 - Eq.3

4x -2x+2y -2y = 200-144
2x = 56
x = 28

So, the number of chickens = 28
Number of rabbits = 72-28 = 44

Find the surface area and volume of a cube with sides of 5.5 cm each.

Answers

Answer:

$V= 166.375cm^3$ and $As = 181.5cm^2.$

Step-by-step explanation:

First, let's calculate the volume. The volume of a cube is $V= s^3$ where s is the side. Then,

$V = (5.5cm)^3 = 166.375cm^3$

Now, the surface area will be the sum of the areas of each face. Each face of the cube is a square and the area of a square is $A=s^2$ , also we know that the cube has 6 faces, then the surface area of the cube will be

$As = 6*s^2$ , so

$As = 6*(5.5cm)^2$

$As = 6*30.25cm^2$

$As = 181.5cm^2.$

The equation to find the surface area of a cube is: 2*base+lateral area. The base of a cube is just the area of the square. So you would multiply 5.5*5.5. That would equal 30.25
The equation to find the lateral area is: perimeter*height. So you would add 5.5 four times since its a square. It would equal 22. Then you would multiply it by the height of which is also 5.5. 5.5*22=121.

Now that you have all the information just plug it back in the equation.(side note, because cubes are prisms you have two bases which is why you multiply them by two.) 2*30.25+121=181.5

your awnser is 185.5cm squared

What should be the top item on a list of your life goals? A. A goal that's financially feasible B. A goal that's most important to you C. A goal that's easily achievable D. A goal you think others would want you to complete

Answers

The top item on a list of your life goals should be B. a goal that's most important to you. You shouldn't care much for what other people want from you - if you know what you want and need, you should make that your priority and try to achieve your life goals. It doesnt matter whether you can manage that financially, or whether it's going to be easy - if you really want it, you are going to try your best in order to achieve it.

B; most important to you.

Solve 2x^2 = 72.
Question 1 options:
{±18}
{±36}
{±6}
{±8}