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3 years ago

7. Suppose that y varies inversely with x. Write an equation for the inverse variation,

Mathematics

1 answer:

lys-0071 [83]3 years ago

7 0

Answer:

The answer is

Step-by-step explanation:

The statement

y varies inversely with x is written as

$y = \frac{k}{x}$

where k is the constant of proportionality

To find k substitute the values of x and y into the equation

From the question

y = 4

x = 6

We have

$4 = \frac{k}{6}$

Cross multiply

k = 4 × 6

k = 24

So the formula for the variation is

Hope this helps you

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What is the mean of 35 and 39?

tatyana61 [14]

Answer:

Step-by-step explanation:

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3 years ago

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In the graph shown below, if lines 1^1 are parallel, then the slope of the line 1^2 is?

Galina-37 [17]

Answer:

<h2>Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.</h2>

Step-by-step explanation:

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3 years ago

RS=2x-8, ST = 11, RT = x+10

ziro4ka [17]

Answer:

$Equation~=~\Large\boxed{2x+3=x+10}$

$x~=~\Large\boxed{7}$

$RS~=~\Large\boxed{6}$

$RT~=~\Large\boxed{17}$

Step-by-step explanation:

<u>Given information</u>

$RS=2x-8$

$ST=11$

$RT=x+10$

<u>Derived expression from the given information</u>

<em>Presumably, I think this is a combination of segments</em>

$RS+ST=RT$

<u>Substitute values into the given expression</u>

$(2x-8)+(11)=(x+10)$

<u>Combine like terms</u>

<em>The following is the expression</em>

$\Large\boxed{2x+3=x+10}$

<u>Subtract 3 on both sides</u>

$2x+3-3=x+10-3$

$2x=x+7$

<u>Subtract x on both sides</u>

$2x-x=x+7-x$

$\Large\boxed{x=7}$

<u>Substitute the x value into corresponding expressions to determine the final value</u>

$RS=2x-8=2(7)-8=14-8=\Large\boxed{6}$

$RT=x+10=(7)+10=\Large\boxed{17}$

Hope this helps!! :)

Please let me know if you have any questions

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2 years ago

What is 2 3 (−7) + 2 3 (−5)

DochEvi [55]

Answer:

Step-by-step explanation:

Multiply 2/3 and your number. If you have a whole number, convert it to a fraction by putting it over a denominator of 1. When multiplying fractions, calculate numerator times numerator, then denominator times denominator. For example, to find two-thirds of 18, multiply 2/3 x 18/1 to get 36/3.

Reduce the resulting fraction as needed by dividing it by the common denominator. For example, the common denominator of 36 and 3 is 3. Diving 36 and 3 by 3 gives you a fraction of 12/1, which is the same as 12. Thus, two-thirds of 18 is 12.

7 0

3 years ago

A cube-shaped aquarium has edges that are 3 feet long and is filled with water that has a density of 62 lbs/ft3 Should the aquar

Sunny_sXe [5.5K]

Given:

There are given the edge of the cube-shaped aquarium has 3 feet.

Explanation:

To find the value, we need to use the volume of the cube formula:

So,

From the formula of volume:

$V=a^3$

Where

a represents the value of edge.

So,

Put the value of edge into the above formula:

Then,

$\begin{gathered} V=a^3 \\ V=3^3 \\ V=27cube\text{ feet} \end{gathered}$

Now,

The water has a density of 62 pounds per cube foot.

According to the question:

If the weight of 1 cubic foot of water is 62 pounds, then the weight of 27 cube feet water is:

$62\times27=1674pound$

Final answer:

Hence, the water weight of the full aquarium is 1674 pounds, and the table only susupports00 pounds. So the table cannot hold the aquarium.

And,

No, the density of water would not change.

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1 year ago