the following scatter plot demonstrates that there is a positive correlation between the two quantities.

On a particular road map 1/2 inch represents 18 miles about how many miles apart are 2 towns that are 21/2 inches apart on this

andrew-mc [135]

So if 1/2 = 18 miles, we want to first find how many sets of 1/2 are in 21/2. We can just do this by dividing.

(21/2) / (1/2) = 21

So we know that there are 21 sets of 1/2 in 21/2, and since 1/2 and 18 are equal, we can say we know there are 21 sets of 18.

We can multiply to find this.

21 * 18 = 378

So two towns are 378 miles apart.

6 0

3 years ago

Read 2 more answers

(Due Now!! HELP; I know how to do this I just don't have time)

qaws [65]

Answer:

It is C.

Step-by-step explanation:

You divided 6.57 by 3

and 3 by 3

3 by 3 = 1

6.57 = 2.19

3 so for every 1 pound it costs $2.19

6 0

3 years ago

Read 2 more answers

A tank is filled at a constant rate. 10 minutes after filling is started, the tank contains 4.8L of water. After 35 minutes the

Mashcka [7]

Answer:

Part A)

0.1 liters per minute.

Part B)

There was initially 3.8 liters of water.

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

Part C)

562 minutes.

Step-by-step explanation:

A tank is filled at a constant rate. After 10 minutes, the tank contains 4.8 L of water and after 35 minutes, the tank contains 7.3 L of water.

Part A)

We can represent the current data with two points: (10, 4.8) and (35, 7.3). The x-coordinate is measured in minutes since the tank began to be filled and the y-coordinate is measured in how full the tank is in liters.

To find the rate at which the tank is being filled, find the slope between the two points:

$\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(7.3)-(4.8)}{(35)-(10)} = \frac{2.5}{25} = 0.1$

In other words, the rate at which the tank is being filled is 0.1 liters per minute.

Part B)

To find the function of the volume of the tank, we can use the point-slope form to first find its equation:

$\displaystyle y - y_1 = m( x - x_1)$

Where m is the slope/rate of change and (x₁, y₁) is a point.

We will substitute 0.1 for m and let (10, 4.8) be the point. Hence:

$\displaystyle y - (4.8) = 0.1(x - 10)$

Simplify:

$\displaystyle y = 0.1(x-10) + 4.8$

Since y represent how full the tank is and x represent the time in minutes since the tank began to be filled, we can substitute y for V(t) and x for t. Thus, our function is:

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

The initial volume is when t = 0. Evaluate:

$\displaystyle V(0) = 0.1 ((0) - 10) + 4.8 = 3.8$

There was initially 3.8 liters of water.

Part C)

To find how long it will take for the tank to be completely filled given its maximum capacity of 60 liters, we can let V(t) = 60 and solve for t. Hence:

$60 = 0.1(t - 10) + 4.8$

Subtract:

$55.2 = 0.1(t - 10)$

Divide:

$552 = t - 10$

Add. Therefore:

$t = 562\text{ minutes}$

It will take 562 minutes for the tank to be completely filled.

8 0

3 years ago

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Cels

Maru [420]

If you think of the equation as an equation for a line.

y=mx+b

y

=

m

x

+

b

where

C=5/9(F−32)

C

=

5

/

9

(

F

−

32

)

or

C=5/9F−5/9(32)

8 0

4 years ago

Simplify -4 1/4-(-9 1/2) = ? A. -13 1/3 B. -5 1/4 C. 13 1/3 D. 5 1/4

bagirrra123 [75]

Answer:

B

Step-by-step explanation:

Hope this helps

5 0

3 years ago