Variable y varies directly with variable x, and y = 6 when x = 20.What is the constant of variation in decimal form?

Answers

Answer 1

Answer: In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3

Related Questions

The number of visitors to a small pumpkin patch that opened in 2003 increased each year as shown in the table. Predict the number of visitors in 2015, assuming the increase continues at this same rate. Year 2003 ,2004, 2005, 2006 ,2007, 2008 Visitors 310 332 355 380 406 434 Using the exponential growth formula y = b(1 + r)^t.
The raidus of circle p the larger circle is 7 times the radius of circle 0 the smaller circle. What is the ratio of the area of circle to the area of circle p?Your choices are: 1 to 7, 7 to 1, 49 to 1 , 1 to 49 plz explain
Which statement is always true about the quantities in the function y=x+7
Solve by factoring. x2 - 49 = 0
Can you have 2 vertical asymptotes?

What is the slope of the line shown in the graph? A coordinate plane is shown. Points are graphed at negative 3 comma 2 and negative 1 comma negative 1. The points are connected by a line. −3 over 2 −1 over 2 3 over 2 Undefined

Answers

The slope of a line is the rate of change of the line

The slope of the line is -3/2

The points on the line are given as:

$\mathbf{(x,y) = \{(-3,2)\ (-1,-1)\}}$

The slope (m) is calculated as:

$\mathbf{m = (y_2 - y_1)/(x_2 - x_1)}$

So, we have:

$\mathbf{m = (-1-2)/(-1--3)}$

$\mathbf{m = (-3)/(2)}$

Rewrite as:

$\mathbf{m = -(3)/(2)}$

Hence, the slope of the line is -3/2

Answers

Answer:

C. $(-1,-2)$

Step-by-step explanation:

We have been given a graph of a system of equations. We are asked to find the solution for our given system.

We know that solution of the system of equation by graphing is the point, where both lines will intersect each other.

Upon looking at our given graph, we can see that both lines intersect at point $(-1,-2)$ and option C is the correct choice.

Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)

Your mother bought a three-liter bottle of water. When she got home, she discovered a small leak in the bottom and asked you to find a container to transfer the water into. All you could find were two half-gallon jugs. Will your containers hold all of the water

Answers

Answer:

The two half-gallon jugs will hold all of the water.

Step-by-step explanation:

The gallon and the liter are two units of volume. Let's write the equivalent expression between them :

$1gal=3.78541L$

To solve this problem, we need to find out which volume is greater : The volume of the three-liter bottle or the volume of the two half-gallon jugs.

The volume of two half-gallon jugs is equal to :

$Volume=(2).((1)/(2))gal=1gal$

Two half-gallon jugs can storage 1 gallon in total.

1 gal is equal to 3.78541 L (We write this at the beginning of the answer). Now, given that the volume of water stored by the three-liter bottle is 3 L or less (because of the small leak) :

$3.78541L>3L$

Therefore, the volume of the two containers is greater than the maximum volume of water stored in the three-liter bottle ⇒ The containers will hold all of the water.

No it will not because if you put the two half gallons together, one gallon is equal to 3.785411784 liters

Question Simplify. 1+32⋅2−5

Answers

Answer: The answer is 28.2

Step-by-step explanation: Pls answer your own

A triangle has sides with lengths of 72 miles, 85 miles, and 36 miles. Is it a right triangle?

Answers

Answer:

Your answer is: No, it is not a right triangle

Step-by-step explanation:

We can use the Pythagorean theorem to determine if a triangle is a right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's label the sides of the triangle:

Side A = 72 miles

Side B = 85 miles

Side C = 36 miles

To check if it's a right triangle, we can compare the lengths of the sides using the Pythagorean theorem:

1. Calculate the squares of the lengths of Side A and Side B:

- A^2 = 72^2 = 5184

- B^2 = 85^2 = 7225

2. Calculate the square of the length of Side C:

- C^2 = 36^2 = 1296

3. Check if the sum of the squares of the two shorter sides (A^2 + B^2) is equal to the square of the longest side (C^2):

- A^2 + B^2 = 5184 + 7225 = 12409

- C^2 = 1296

Since A^2 + B^2 is not equal to C^2 (12409 ≠ 1296), we can conclude that the given triangle is not a right triangle.

A triangle is placed in a semicircle with a radius of 9 cmFind the area of the shaded region. Use the value 3.14 for π
, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Considering that the shaded area is the part of the semi circle outside the triangle:
Area of circle= Pi x radius2 (this means radius squared)
Area of triangle= 1/2 x base x height
1/2 (because it is a semi circle) x 3.14 (in replacement of pi as directed by question) x 9squared= 127.17

127.17 - (1/2 x 18 x 9) = 46.17cmsquared

Final answer:

The area of the shaded region can be found by subtracting the area of the triangle from the area of the semicircle.

Explanation:

To find the area of the shaded region, we need to calculate the area of the semicircle and subtract the area of the triangle from it. First, let's find the area of the semicircle. The formula to find the area of a semicircle is A = (π * $r^2$ ) / 2, where π is approximately 3.14 and r is the radius. Plugging in the values, we have A = (3.14 * $9^2$ ) / 2 = 127.26 square cm.

Next, let's find the area of the triangle. The formula to find the area of a triangle is A = (base * height) / 2. In this case, the base of the triangle is the diameter of the semicircle, which is 2 * 9 = 18 cm. The height of the triangle is the radius of the semicircle, which is 9 cm. Plugging in the values, we have A = (18 * 9) / 2 = 81 square cm.

Finally, to find the area of the shaded region, we subtract the area of the triangle from the area of the semicircle: 127.26 - 81 = 46.26 square cm. So, the area of the shaded region is 46.26 square cm.

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