24 quarts =_______

A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing

yawa3891 [41]

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

Speed = 12 Km/h
Time = t
Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

Time (t) = 3.5 hours
Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

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6 0

2 years ago

One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.

madreJ [45]

The answer is (b. 8x - x = 70).

5 0

3 years ago

WILL MARK BRAINLIEST!!! HELP!

Virty [35]

Answer:

d) x=4

Step-by-step explanation:

$\sqrt{x} +5 = \sqrt{x + 45}$

$(\sqrt{x} +5)^{2} = (\sqrt{x + 45})^{2}$

$x + 10\sqrt{x} +25 = x + 45$

$10\sqrt{x} = 20$

divide 10 in both sides

$(\sqrt{x}){2} = (2){2}$

x=4

8 0

3 years ago

How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism

harina [27]

Answer:

see the explanation

Step-by-step explanation:

we know that

The surface area of a prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

For both prism the formula is the same

How is it different?

Rectangular prism

The area of the base is given by the formula

$A=LW$ -----> is the area of rectangle

where

L is the length and W is the width of rectangle

The perimeter of the base is given by

$P=2(L+W)$ ---> is the perimeter of rectangle

The height H is the same in both cases

Triangular prism

The area of the base is given by the formula

$A=\frac{1}{2} (b)(h)$ -----> is the area of the triangular base

where

b is the base of triangle and h is the height of triangle

The perimeter of the base is given by

$P=(a+b+c)$ ---> is the perimeter of triangle

where

a, b and c are the length sides of triangle

The height H is the same in both cases

3 0

3 years ago

Read 2 more answers

1kg= 2.2 pounds<br> Change 44 pounds in kg

Lyrx [107]

<u><em>Answer:</em></u>
44 pounds = 20 kg

<u><em>Explanation:</em></u>
<u>We are given that:</u>
1 kg = 2.2 pounds

To convert 44 pounds into kg, all we have to do is <u>cross multiplication</u> as follows:
1 kg .................> 2.2 pounds
?? kg .................> 44 pounds

<u>Now, we solve as follows:</u>
4 kg = $\frac{44*1}{2.2} = 20$ pounds

Hope this helps :)

4 0

3 years ago

24 quarts =________gallons