Option B is correct.
Step-by-step explanation:
We need to identify which of the following equations has exactly one solution.
We will solve each equation to find the answer
A. 
Solving and finding value of x:

This equation has infinite number of solutions because both sides are equal to 0
B. 
Solving and finding value of x:

This equation has exactly one solution
C. 

This equation has no solution because both sides are not equal.
So, Option B is correct.
Keywords: Solving Equations
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Answer: English is the preferred one.
Step-by-step explanation:
When you are dealing with percentage problems you just have to do a simple rule of three to answer the question, we have that our 100% is the total number of students:40, and 40% of them report that keyboarding is their favorite class, while 24 students say that English is their favorite class, now we just have to convert:
We clear the X and our function would look like this:
Now we know that 16 kids prefer keyboarding over the 24 that prefer English, since there are more kids that prefer English that is the favorite class.
Step-by-step explanation:
2x - 5 = y - 5
2x = y
x = y/2
y - 3 = x + 1
Substitute the value of x here,
y - 3 = 
y - 3 = 
2y - 6 = y + 2
y = 8
Now, x = 8/2
x = 4
So, go for D part, it is the correct answer.
Good Night/Day !
Answer:
y= mx+c
-4= -3/5(-5) + c
-4= -3/5 *-5+ c
-4=3+c
-4-3=c
-7=c
therefore the equation of the line is y=-3/5x-7
Step-by-step explanation:
the equation of a line is
y=mx +c
where y is the y coordinate
where m is the slope
where x is the x coordinate
where c is the y- intercept
Answer:
46 gallons
Explanation:
First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to
radius = diameter/2
radius = 28 yd/2
radius = 14 yd
Then, the area of the outer circle is

In the same way, the radius of the inner circle is
radius = diameter/2
radius = 18 yd/2
radius = 9 yd
Then, the area is

So, the area of the path is
Area path = 615.44 yd² - 254.34 yd²
Area path = 361.1 yd²
Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

Therefore, the number of gallons is 46 because we need to round the result to a whole number.