7.54 repeating decimal as a mixed number in simplest form

If a yardstick is 36 inches long how many feet are there ?

Ipatiy [6.2K]

It would be three feet. Hope this helps.

7 0

3 years ago

A situation can be represented by this inequality? <img src="https://tex.z-dn.net/?f=1.25x%20-%206.50%20%3E%2050" id="TexForm

DochEvi [55]

There are four different choices. Now we have to find which choice best expresses the inequality 1.25x-6.50>50

1.25x has positive sign so any statement that indicates earning like sells at the rate of 1.25 will match with expression 1.25x.

Now -6.50 has negative sign that means this quantity must be subtracted or represents loss of any kind.

Keeping above sign in mind and reading the given statementns, we see that only choice "a" first the given inequality.

Hence final answer is a).

6 0

3 years ago

Read 2 more answers

A water and sprinkle our sins water out in a circular pattern how many feet away can it spread water if the area formed by the w

ludmilkaskok [199]

Answer:

11 feet away.

Step-by-step explanation:

Given:

A water and sprinkle our sins water out in a circular pattern

Area formed by the watering pattern is 379.94 square feet

To find:

How many feet away can it spread water means we have to find distance from the middle point to the last end of circular pattern of water sprinkling (radius of a circle) = ?

solution:

By using ,Area of a circle = $\pi r^{2}$

Area of a circle = 379.94 square feet (given)

$\pi r^{2}$ = $379.94$

$3.14\times r^{2} = 379.94\\$

Dividing both side by 3.14

$r^{2} = \frac{379.94}{3.14} = 121$

Taking square root both side

$r = \sqrt[2]{11\times11}$ (Taking common)

$r = 11$

Therefore, radius = 11

Thus, it can spread water 11 feet away.

8 0

3 years ago

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

The ratio of the dimensions of a rectangular patio are 4:7. if the shorter

Cerrena [4.2K]

If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:

$\frac{4}{7} =\frac{10}{x}$

You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.

$\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}$

This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.

AREA

The formula for the area of a rectangle is: $w*l$

So we can plug our dimensions into the formula: $10*17.5=175$

So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.

PERIMETER

The formula for the perimeter of a rectangle is: $2(w+l)$

We can plug our dimensions into the formula: $2(10+17.5)=55$

So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.

4 0

2 years ago