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Readme [11.4K]
2 years ago
11

Driving from oban to stranraer a driver averages 8 miles per gallon of fuel. if fuel costs 83 cents a gallon how much will be th

e journey cost in fuel(to the nearest 5 cents
Mathematics
2 answers:
PtichkaEL [24]2 years ago
8 0

The total fuel needs for the journey is $18.50

Further Explanation

Given:

Average fuel = 8 miles/gallon

Fuel cost = 83 cents/gallon

In order to calculate the journey cost in fuel we need information about the distance between Oban and Stranraer. With doing a little research, we find out that the total distance between to city is approximately 178 miles.

First step

Calculate the fuel needed for the entire journey (x) =

\frac{Total distance}{x gallon} = \frac{average distance}{gallon}

\frac{178}{x gallon} = \frac{ 8}{gallon}

x gallon = \frac{178}{8}  = 22.25 gallon

Total fuel needed for the entire journey is 22.25 gallon

<u>Next step</u>

Calculate the total cost for the journey

= Total fuel x Price/gallon

= 22.25 gallon x 83 cents = 1846.75 cents which is equal to $18.47 or $ 18.50 (to the nearest 5 cents)

<h3>Learn more</h3>

Total fuel for a journey brainly.com/question/2059692

Average speed brainly.com/question/2143602

Keywords: total distance, fuel needed for journey, calculate cost

Olegator [25]2 years ago
5 0

Answer:

$18.56

Step-by-step explanation:    

Since we know that distance between Oban and Stranraer is 178.9 miles.

Let us find the number of gallons of fuel used during the journey by dividing total distance traveled by distance traveled per gallon of fuel.

\text{Total number of gallons of fuel used during the journey}=\frac{178.9\text{ miles}}{8\frac{\text{miles}}{\text{gallon}}}

\text{Total number of gallons of fuel used during the journey}=\frac{178.9\text{ miles}}{8}\times \frac{\text{gallon}}{\text{miles}}

\text{Total number of gallons of fuel used during the journey}=22.3625\text{gallon}

Now let us find the total cost of fuel for the journey by multiplying number of gallons of fuel used by cost of per gallon fuel ($0.83).

\text{Total cost in fuel during the journey}=22.3625\times\$0.83

\text{Total cost in fuel during the journey}=\$18.560875\approx \$18.56

Therefore, the journey will cost $18.56 in fuel.        

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Craig Campanella and Edie Hall both have night jobs. Craig has every thirteenth night and Edie has every Fifth night off. How of
Andrews [41]

Craig has every 13th night and Edie has every 5th night off.

You have to find LCM - the Least Common Multiple that is the smallest ("least") number that both 13 and 5 will divide into.

Since numbers 13 and 5 are both prime, then LCM(13,5)=13·5=65.

This means, they will have the same every 65th night off.  

6 0
2 years ago
The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)
BaLLatris [955]

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

1)

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

3 0
2 years ago
Here are the ingredients to make 12 cupcakes.
scoundrel [369]

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

4 0
2 years ago
Juan runs a company that makes pens. He notices that 1 out of every 9 pens are faulty. He uses a standard deck of cards to model
sergey [27]

Question:

Isabella pitches for her high school softball team. Of the 7 pitches she throws, 5 are strikes. She uses a standard deck of cards to model her pitches, with hearts, clubs, and spades representing strikes. Which statement about her model is true?

Answer:

B. Her model can be improved the most by removing the queens and kings of hearts, clubs, and spades.

Explanation:

I took the test and passed.

6 0
2 years ago
Read 2 more answers
The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.
tekilochka [14]

Answer:

1651

Step-by-step explanation:

let s say that the price before the increase is x

to apply an increase of 9% it does x + x*0.09 = x*(1+0.09)=x*1.09

and we know that this value is 1800

so

x*1.09=1800

<=>

x = 1800/1.09=1651.376147

to the nearest penny it gives 1651

4 0
2 years ago
Read 2 more answers
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