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ANEK [815]
2 years ago
6

a cyclist bikes a certain distance in 45 minutes , write an equation that shows the relationship between speed,s, and time,t, wh

ne the distance is 100 miles
Mathematics
1 answer:
denis23 [38]2 years ago
8 0

An equation that shows the relationship between speed and time is Speed = \frac{100}{45}

<u>Given the following data:</u>

  • Distance = 100 miles.
  • Time = 45 minutes.

To write an equation that shows the relationship between speed and time:

<h3>What is speed?</h3>

Speed can be defined as the distance covered by a physical object per unit of time. Thus, the cyclist's speed can be measured as miles per minutes.

Mathematically, speed is given by this formula;

Speed = \frac{distance}{time}

Substituting the given parameters into the formula, we have;

Speed = \frac{100}{45}

Read more on speed here: brainly.com/question/10545161

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The same number of people live on the islands Beautiful Sunrise and Gorgeous
aev [14]

Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem, we have that:

  • We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
  • There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

P = \frac{a}{x} \times 100\%

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

\frac{x + a}{x - a} = 7

We can find a <u>as a function of x</u> to find the percentage:

\frac{x + a}{x - a} = 7

7(x - a) = x + a

7x - 7a = x + a

8a = 6x

a = \frac{3x}{4}

Then, the percentage is:

P = \frac{a}{x} \times 100\%

P = \frac{\frac{3x}{4}}{x} \times 100\%

P = \frac{3}{4} \times 100\%

P = 75\%

75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

You can learn more about the percentage concept at brainly.com/question/10491646

7 0
2 years ago
Find the unknown length y in the following pair of the similar triangles.
yulyashka [42]

Answer:

y = 9.75

Step-by-step explanation:

Since both triangles are said to be similar, the proportion or ratio of the sides of both triangles would be equal.

Therefore, 39/y = 23/5.75 = 35/8.75

Let's find y

39/y = 23/5.75

==>Cross multiply

39*5.75 = 23*y

224.25 = 23y

==>Divide both sides by 23

224.25/23 = y

9.75 = y

y = 9.75

Check:

Thus,

39/9.75 = 23/5.75 = 35/8.75 = 4

Our answer y, which is 9.75, is correct.

5 0
3 years ago
I golf club charges $10 to join and
Jobisdone [24]

Answer: He could have played more than 3 games.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality.

I golf club charges $10 to join and $5 per game: So, the cost of playing golf is equal to $10 (joining price) plus the product of the number of games played (x) and the price per game (5).

That expression must be higher than 25, since john paid more than $25.

Mathematically speaking

10+ 5 x > 25

Solving for x

5x >25-10

5x >15

x >15/5

x> 3

He could have played more than 3 games, since his cost was higher ( not equal or higher) than 25.

4 0
4 years ago
How do i write 23r4 in verbal expression
cupoosta [38]

Answer:

if it's 2/3r^4 heres the answer

Step-by-step explanation:

1.) 2/3 times r raised to the 4th power

2.) the product of 2/3 and r raised to the 4th power

3.) 2/3 multiplied by r raised to the 4th power

4.) 2/3 of r raised to the 4th power

you can pick one of the many choices I've listed!! youre welcome :)

7 0
3 years ago
Read 2 more answers
a leak is slowly draining water from a pool containing 324 gallons of water. How much water is remaining after 8 hours if it lea
sergey [27]
268 gallons are remaining. The equation would be y=324-7x, with x being 8. 7(8) is 56, and then you take away 56 from 324, which then gives you 268 gallons remaining
3 0
3 years ago
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