Darius takes his family on an afternoon boat ride. Going through York Canal, he drives 5 miles in 15 minutes. Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed. Which statement about the distances is true? A) The distance traveled in York Canal is 15 miles less than the distance traveled on Stover Lake. B)The distance traveled in York Canal is twice the distance traveled on Stover Lake C)The distance traveled in York Canal is one half the distance traveled on Stover Lake. D)The distances traveled in York Canal and Stover Lake are the same.

Checking with Addition:

Let x, y be two whole numbers.

Then, x + y is definitely a whole number.

So, the set of whole numbers is closed under addition.

Checking with Subtraction:

Let x, y be two whole numbers.

Then, x - y may or may not be a whole number.

For example, if we take 3 and 2,

3 - 2 = 1 is a whole number but if we take 2 and 5, then

2 - 5 = -3 is not a whole number.

So, the set of whole numbers is not closed under subtraction.

Checking with Multiplication:

Let x, y be two whole numbers.

Then, x × y is definitely a whole number.

So, the set of whole numbers is closed under multiplication.

Checking with Division:

Let x, y be two whole numbers.

Then, x / y may or may not be a whole number.

For example, if we take 6 and 3,

6/3 = 2 is a whole number.

But, if we take 4 and 5,

4/5 is not a whole number.

So, the set of whole numbers is not closed under division.

Answer:

x = 4.5 and y = -3.5

Step-by-step explanation:

To find the solution to this system of equations using the substitution method, you must solve for either the x or y variable and then substitute into the other equation.

x = (y + 8)

5x + 3y = 12

We will use the first equation to solve for x. The x has to be isolated on one side. Since the first equation already has x on the one side, we can plug it into the other equation.

5(y+8) + 3y = 12

Distribute and solve:

5y + 40 + 3y = 12

8y + 40 = 12

8y = 12-40

8y = -28

y = -3.5

Now we have the y variable, we can plug that back into the first equation to find x.

x = (-3.5) + 8

x= 4.5

Your answer will be x = 4.5 and y = -3.5

Answer:

24%

Step-by-step explanation:

Formula:

   x                 new price - old price

---------    =     ---------------------------------

100%                      old price

6 - 6x = -2(x + 5)

• Distribute -2 inside the parentheses.

6 - 6x = -2x - 10

• Add 6x to both sides.

6 = 4x - 10

• Add 10 to both sides.

16 = 4x

• Divide both sides by 4.

x = 4

6-6x=2(x+5)

(6-6x)/2 = x+5

3-3x=x+5

3-5=4x

-2=4x

x= -2/4

x= -1/2

x= -0.5

Answer:

c = $5.00

Step-by-step explanation:

Let c = the cost of each candy bar

3 + 8c = 43

8c = 40