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horrorfan [7]
3 years ago
8

A container of club soda has a volume of 3200 cubic meter. How many liters of soda does the container hold

Mathematics
1 answer:
svetoff [14.1K]3 years ago
7 0

Answer:

3200000

Step-by-step explanation:

multiply the volume value by 1000

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Solve 7b 3 - 4b = 3 - 3 (b 4)
frez [133]
7b + 3 - 4b = 3 - 3(b + 4)
3b + 3 = 3 - 3b - 12
3b + 3b = 3 - 12 - 3 = -12
6b = -12
b = -12/6 = -2
b = -2
8 0
3 years ago
Find the circumference and area of a circle with diameter 12 ft. Express your answer in terms of pie
xz_007 [3.2K]

Answer:

Circumference: 12π

Area: 36π

Step-by-step explanation:

The equation for the circumference of a circle is:

C = πd

Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.

C = 12π

And now we have found the circumference of the circle.

The equation for the area of a circle is:

A = πr²

Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:

12 = 2r

r = 6

Now that we know r, we can find the area of the circle:

A = π(6)²

A = 36π

Now we have found the area.

So the circumference is 12π and the area is 36π.

I hope you find my answer and explanation to be helpful. Happy studying.

4 0
4 years ago
Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4
kvasek [131]

Answer:

The correct answer is:

4 x -3 y = 16 and

8 x -6 y = 34 are the equations that have no solution.

Step-by-step explanation:

First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.

Let the equations be:

a_1x+b_1y+c_1=0 and

a_2x+b_2y+c_2=0

1. There exists exactly one solution:

\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}

2. There exists infinitely many solutions i.e. lines are identical.

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

3. There exists No solutions i.e. lines are parallel and will never intersect.

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}

Now, let us have a look at the given pair of lines:

Option a)

2 x + 8 y = 15\\4 x + 16 y = 30.

The ratio:

\dfrac{2}{4}=\dfrac{8}{16}=\dfrac{15}{30} = \dfrac{1}{2}

Hence, the lines are identical, infinite solutions.

Option b)

2 x - y = 18\\4 x + 2 y = 38

The ratio:

\dfrac{2}{4}\neq \dfrac{-1}{2}

Hence, exactly one solution.

Option c)

4 x + 7 y = 17\\8 x -14 y = 36

The ratio:

\dfrac{4}{8}\neq \dfrac{-7}{14}\\\dfrac{1}{2}\neq \dfrac{-1}{2}

Hence, exactly one solution.

Option d)

4 x - 3 y = 16\\8 x - 6 y = 34.

The ratio:

\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}

Hence, There is no solution.

The correct answer is:

4 x -3 y = 16 and

8 x -6 y = 34 are the equations that have no solution.

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