Liz records her hamsters weight once every week for onw year.How many observations does she make

Answer:

You take 6% of a number and the resulting number is 27.

To do this you need to change the percent into a fraction.

6% = 6/100

This is the number you need to multiply to the number you need to find, A.

6/100 A = 27

Solve for x

6 A = 27x100

A= 2700/6

A = 450

Check your answer:

6/100 (A) = 27

6/100 (450) = 27

(6x450) /100 = 27

2700 / 100 = 27

27 = 27

Step-by-step explanation:

To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we wanted to write as a percent, we need to find a fraction equivalent to with a 100 in the denominator of the fraction. We can do this by setting up a proportion.

=

Now, we can use cross products to find the missing value.

9n = 500

÷9     ÷9

n = 55.6

Therefore, 5/9 can be written as 55.6%.

There are 55.56% of the percent of 5/9.

Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

To find the percent of 5/9.

Let us assume that,

the percent of 5/9 is, x

Hence, We can formulate;

⇒ 5/9 = x%

⇒ 5/9 = x / 100

⇒ x = 500/9

⇒ x = 55.56%

Thus, There are 55.56% of the percent of 5/9.

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Answer:

the answer is A

Step-by-step explanation:

Answer:

The distance between them changing after 10 minutes will be 9.553 mph.

Step-by-step explanation:

The paths of two runners cross at a stop sign (O). One runner is heading south at a constant rate of 6.5 miles per hour towards A while the other runner is heading west at a constant rate of 7 miles per hour towards B.

So, after 10 minutes the first runner covers a distance of miles and the second runner covers a distance of miles.

Therefore, after 10 minutes their distance will be miles.

Now, the distance between them is given by

AB² = OA² + OB²

Now, differentiating this equation with respect to time t (in hours) we get

⇒

⇒

⇒ mph.

Therefore, the distance between them changing after 10 minutes will be 9.553 mph. (Answer)

Final answer:

The distance between the two runners is not changing after 10 minutes.

Explanation:

To find the rate of change of the distance between the two runners, we can use the concept of relative velocity. The distance is changing due to the motion of both runners, so we need to find the rate at which each runner is approaching or moving away from the other. Since one runner is heading south and the other is heading west, their velocities are perpendicular to each other. We can use the Pythagorean theorem to find their combined velocity and then calculate the rate of change of the distance between them.

Let's consider the southward runner as Runner A and the westward runner as Runner B. The velocity of A is 6.5 miles per hour, and the velocity of B is 7 miles per hour. After 10 minutes, the distance traveled by A can be calculated as (6.5 miles/hour) * (10/60) hours = 1.083 miles. The distance traveled by B can be calculated as (7 miles/hour) * (10/60) hours = 1.167 miles.

Using the Pythagorean theorem, we can calculate the distance between the two runners after 10 minutes:

Distance = sqrt((1.083 miles)^2 + (1.167 miles)^2) ≈ 1.563 miles

To find the rate of change of the distance between them, we can differentiate the equation for the distance with respect to time:

d(Distance)/dt = (1/2)*((2*(1.083 miles)*(0))/(sqrt((1.083 miles)^2 + (1.167 miles)^2))) + (1/2)*((2*(1.167 miles)*(0))/(sqrt((1.083 miles)^2 + (1.167 miles)^2))) = 0

Therefore, the distance between the two runners is not changing after 10 minutes.

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