Answer:
c. 24 is a solution
Step-by-step explanation:
Given equation:

To test the numbers 22, 23, 24, 25 for the solution.
Solution:
In order to test the given number for the solution, we will plugin each number in the unknown variable
and see if it satisfies the equation.
1) 

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.


The above statement can never be true and hence 22 is not a solution.
2) 

The fractions can no further be reduced.
The statement can never be true and hence 23 is not a solution.
3) 

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.


The above statement is always true and hence 24 is a solution.
4) 

The fractions can no further be reduced.
The statement can never be true and hence 25 is not a solution.
Answer:
$153
Step-by-step explanation:
To find the total cost, we have to calculate the area of one bead, then all of them:
Area of one bead = pi x r^2 = 3.14 x 0.5^2 = 3.14 x 0.25 = 0.765cm^2
Area of 20 beads = 0.765 x 20 = 15.3cm^2
Now, we are able to calculate the ultimate cost of coating:
If the cost is $10 per cm^2, then we have to find how much it costs to coat 15.3 cm^2.
15.3 x 10 = $153.
Hope this helps
Answer: 2x+3
Step-by-step explanation:
9x+18=6y-3x Our goal is to isolate y.
Let's add 3x to both sides of the equation to cancel out that -3x on the right side.
12x+18=6y Because all of these integers are divisible by the gcf of 6, we can divide both sides of the equation by 6.
2x+3=y
we know that
If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation
we have the equation

Let's verify all the cases to determine the solution to the problem.
<u>case A)</u> point 
Substitute the values of x and y in the equation



-------> is true
therefore
The point
is a solution of the equation
<u>case B)</u> point 
Substitute the values of x and y in the equation



-------> is true
therefore
The point
is a solution of the equation
<u>case C)</u> point 
Substitute the values of x and y in the equation



-------> is not true
therefore
The point
is not a solution of the equation
<u>case D)</u> point 
Substitute the values of x and y in the equation



-------> is not true
therefore
The point
is not a solution of the equation
therefore
<u>the answer is </u>


Answer:
Choice A
Step-by-step explanation:
5 red socks, 2 white socks, 3 blue socks = 10 socks
1 st sock red : 5 / 10
2nd sock red : 4/9
we didn't put the sock back
a pair of red socks
5/10 * 4/9 = 20/90 = 2/9