Answer:
4,600,000,000
Step-by-step explanation:
Don't forget the order of operations
3.243 × 10⁸/7.05
= 46,000,000 × 10²
= 4,600,000,000
or 4.6 × 10⁹
Answer:
4.6x10 to the power of 5
Step-by-step explanation:
7.05×10
2
3.243×10
8
Divide them.
\frac{3.243}{7.05}\times \frac{10^8}{10^2}
7.05
3.243
×
10
2
10
8
Divide numbers and 10's separeately.
0.46\times 10^6
0.46×10
6
Subtract exponents.
(4.6\times 10^{-1})\times 10^6
(4.6×10
−1
)×10
6
Rewrite as a number bigger than 1
4.6\times (10^{-1}\times 10^6)
4.6×(10 −1 ×10 6 )
Associate
4.6\times 10^5
4.6×10 5
Add exponents
Please help as I am confused
The region common to both the graphs as shown is the solution set.
What are the system of equations?A system of equations is a collection of two or more equations with a same set of unknowns
Given are the following quadratic inequalities -
x² - 6x - 7 < 0
3x² - 28x + 32 ≤ 0
We have the following quadratic inequalities -
x² - 6x - 7 < 0
3x² - 28x + 32 ≤ 0
We will plot both of them. The common region be the possible set of solutions to the given inequalities. Refer to the graph attached. The region common to both the graphs is the solution set.
Therefore, the region common to both the graphs as shown is the solution set.
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Ruth has 36 vases of flowers. Some of the vases contain 3 daisies. The other vases contain 4 lilacs. There are 125 flowers in the vases in total. How many vases of each type of flower does Ruth have?
Answer:
13 vases of lilacs23 vases of daisiesStep-by-step explanation:
You want to know the number of vases of each type of flower if there are 36 vases containing 125 flowers, with 3 daisies or 4 lilacs in a vase.
SetupLet x and y represent daisy and lilac vases, respectively. The problem statement gives two relations:
x +y = 36 . . . . . total number of vases
3x +4y = 125 . . . total number of flowers
SolutionSubstituting for x, we have ...
x = 36 -y
3(36 -y) +4y = 125
108 +y = 125
y = 13
x = 36 -13 = 23
There are 23 vases of daisies and 13 vases of lilacs.
Add 7w-12 and -15w+60
Show your work
Answer:
Step-by-step explanation: 7w-12+(-15w+60)= 7w-12-15w-60= -8w-72
-8w-72 is the answer or -8(w+9) if you take out a -8
The required simplified solution of the sum of the expressions is -8w + 48
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To add 7w-12 and -15w+60
According to the question,
= 7w - 12 - 15w + 60
= 7w - 15w + 60 - 12
= -8w + 48
Thus, the required simplified solution of the sum of the expressions is -8w + 48
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Here is a correlation, does it also represent causation? Explain you answer.
The number of cold, snow days and the amount of hot chocolate sold at a ski resort.
Between the two variables, the number of cold, snow days, and the amount of hot chocolate sold at a ski resort, there is causation.
Is causation in this relation?For two variables x and y, we have causation when a change in one of the variables causes an immediate change in the other variable as a response.
Here we have the two variables:
x = number of cold, snow days.
y = amount of hot chocolate sold at a ski resort.
Obviously, there is a correlation there, we can even assume that if the days are cold enough, a larger percentage of the people in the ski resort will decide to stay there, and then there is a larger posibility that they will consume hot chocolate there, so yes, there is causation between these two variables.
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Sylvia Okumbe is trying to break her national record of 14 minutes 35 seconds
for running 5000 m (12 1/2 laps of the track). Her average time per lap for the
first 5 laps is 1 minute 13 seconds. What average lap time does she need for
the remaining 7 1/2 laps?
Enter your answer as a number in seconds. Only type the number of seconds -
no spaces or words
Sylvia needs tο cοmplete the remaining 7.5 laps in an average time οf 68 secοnds οr less tο break the natiοnal recοrd.
What is Time, Speed and Distance?Time is the duratiοn between twο events, speed is the rate at which distance is cοvered per unit time, and distance is the amοunt οf space between twο οbjects οr pοints.
Sylvia has cοmpleted the first 5 laps in a tοtal time οf 5 x 73 secοnds = 365 secοnds.
Tο break the natiοnal recοrd οf 14 minutes 35 secοnds (οr 875 secοnds) fοr running 5000m, Sylvia has 5000m - 5 laps (οf 400m each) = 3000m remaining tο run, which is equivalent tο 7.5 laps (since each lap is 400m).
Let's say Sylvia needs tο cοmplete the remaining 7.5 laps in x secοnds.
Tο break the natiοnal recοrd, the tοtal time fοr running 12.5 laps (οr 5000m) shοuld be 875 secοnds οr less. Sο, we can set up the fοllοwing equatiοn tο find the required average lap time fοr the remaining 7.5 laps:
365 secοnds + 7.5x secοnds ≤ 875 secοnds
Subtracting 365 secοnds frοm bοth sides gives:
7.5x secοnds ≤ 510 secοnds
Dividing bοth sides by 7.5 gives:
x secοnds ≤ 68 secοnds
Sο, Sylvia needs tο cοmplete the remaining 7.5 laps in an average time οf 68 secοnds οr less tο break the natiοnal recοrd.
Therefοre, the answer is 68 secοnds.
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help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!
Answer:
see the attachment photo!
You multiply two integers and the product is -18. List 4 possible pairs of integers
The possible pairs of integers that has product -18 is: (9, -2), (18, -1), (6, -3), (3, -6), (2, -9)
We need to find the four possible pairs of integers that has product -18
Let x and y be two required integers.
Since the product is negative, one of the integer must be negative integer.
x y x*y
9 -2 -18
2 -9 -18
18 -1 -18
-1 18 -18
6 -3 -18
3 -6 -18
Therefore, the possible pairs of integers that has product -18 is: (9, -2), (18, -1), (6, -3), (3, -6), (2, -9)
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need help please I cant find the answer
Answer:
6
1/3
Step-by-step explanation:
Similar triangles
The corresponding side on triangle A is 18 units
18 * 1/3 = 6
The side length of the missing side on B is 6 units
Side B 5
------ = ----------- = 1/3
Side A 15
The ratio is 1/3
Answers:
question one: 6
question two: 1/3
==========================================
Explanation:
The side 12 from triangle A corresponds to the side 4 from triangle B.
The scale factor is A/B = 4/12 = 1/3 which tells us that sides in triangle B are 1/3 as long compared to sides in triangle A. This takes care of the second question.
We'll use this scale factor to determine the missing side of triangle B.
The side 18 in triangle A corresponds to this missing side in triangle B.
Take 1/3 of 18 to get (1/3)*18 = 6 which is that missing side.
--------------
Another way to look at it: Take any side of triangle B, triple it, and you'll get a corresponding side of triangle A.
Example: The jump from 5 to 15 is "times 3".
1. The distance between the points (5, 7) and (8,-5) is
a) √153
b) √154
c) √13
d) √53
The distance between the points (5, 7) and (8,-5) is √13.
Define distance between points.The length of the path joining two points determines their distance from one another. It's crucial to know how to calculate the distance between two points when working with graphs. This makes it possible for a learner to estimate how long the line is, which is useful in a variety of circumstances. Using the distance formula is the most typical method of determining the distance.
Points (5, 7) and (8,-5)
Formula:
AB² = (x₂ - x₁)² + (y₂ + y₁)²
AB² = (8 - 5)² + (-5+7)²
AB² = (3)² +(2)²
AB² = 9 + 4
AB² = 13
AB = √13
The distance between the points (5, 7) and (8,-5) is √13.
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c) Which of these
numbers is a square number?
A: 4x10^5
B:9x10^4
C:4x10^3
D:9x10^3
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
–72, –71, –70, –69, ..
Answer:
-73 +n
the first term is -73+1
the secound is -73+2
and so on
Answer:
[tex]a_{n}[/tex]= n - 73
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 71 - (- 72) = - 70 - (- 71) = - 69 - (- 70) = 1
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 72 and d = 1 , then
[tex]a_{n}[/tex] = - 72 + 1(n - 1) = - 72 + n - 1 = n - 73
a company makes a bracelet containing magnets that they claim improves balance and overall athletic performance. researchers recruit volunteers for an experiment. the subjects will test the effectiveness of the bracelet by performing a variety of athletic challenges with and without the bracelet. each subject will do each challenge 333 times: wearing the actual bracelet, wearing a placebo bracelet, and wearing no bracelet at all. the order will be randomized for each activity, subjects won't know which bracelet is which. why did the researchers include the scenario where subjects wear no bracelet at all?
The researchers include the scenario where subjects wear no bracelet at all are when it comes to mosquitoes, volunteers in each block should live in similar conditions.
Define experiment.An experiment might involve giving a novel drug to rats to see how they respond to learning about it. When you visit a new coffee shop but are unsure of how the coffee will taste, that is an example of an experiment. the act of carrying out a test like that; experimenting. An experiment is a procedure used as part of the scientific method to test a hypothesis. The independent and dependent variables are the two most important variables in every experiment. To investigate the impact of the independent variable on the dependent variable, it is either controlled or altered.
Given,
A company makes a bracelet containing magnets that they claim improves balance and overall athletic performance. researchers recruit volunteers for an experiment.
The researchers include the scenario where subjects wear no bracelet at all are:
When it comes to mosquitoes, volunteers in each block should live in similar conditions.
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Help Please!
Solve the inequality and graph it’s solution.
Answer:
A) n > 0
Step-by-step explanation:
You want the solution and graph for -8n +18 > -6(3n -3).
SolutionEliminating parentheses, we have ...
-8n +18 > -18n +18
Subtracting 18 gives ...
-8n > -18n
Adding 18n, we have ...
10n > 0
Finally, dividing by 10 gives ...
n > 0
The graph is attached.
The PlentyofFish dating site company is designing a marketing campaign with the objective of reducing the purchase risk of its dating service in the customer's mind. PlentyofFish is offering a limited free 30-day trial to test out the site. Which stage has the smallest percentage of prospects associated with the AIDA model is PlentyofFish implementing for its campaign ?
The stage that has the smallest percentage of prospects associated with the AIDA model is PlentyofFish implementing for its campaign is the action stage.
What is the AIDA Model?The AIDA Model (Attention, Interest, Desire, and Action) is an advertising effect model that identifies the stages that an individual goes through when purchasing a product or service.
The AIDA model is one of several models known as hierarchy of effects models or hierarchical models, all of which imply that when making a purchase decision, consumers go through a series of steps or stages.
An AIDA model entails the following steps:
Attention: The first step in marketing or advertising is to think about how to get consumers' attention.
Interest: Once a consumer is aware that a product or service exists, the company must work to increase the potential customer's level of interest.
Desire: Once the consumer is interested in the product or service, the goal is to make them want it.
Action: The ultimate goal of a marketing campaign is to motivate the recipient to take action and buy the product or service.
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Help me plss!!!
Solve for x.
Question 6 options:
1)
32
2)
6
3)
63
4)
3
The value of angle with x, given the equation on the circle, is 4) 3.
How to find the value of x?The angle is given by the expression:
31x + 3
The same angle is shown to be a right angle with the line EF being straight and therefore a right angle. Right angles have a total measure of 90 degrees.
The value of x can therefore be found by equating the expression to 90 degrees:
31x + 3 = 90
31 x = 90 - 3
x = 87 / 31
x = 2.8
x = 3
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Question 4 (10 points)
(02. 07 MC)
The figure shows triangle ABC and line segment PQ, which is parallel to BC:
Triangle ABC has a point P on side AB and point Q on side AC. The line PQ is parallel to the line BC.
Part A: Is triangle ABC similar to triangle APQ? Explain using what you know about triangle similarity. (5 points)
Part B: Which line segment on triangle APQ corresponds to line segment BC? Explain your answer. (3 points)
Part C: Which angle on triangle APQ corresponds to angle B? Explain your answer. (2 points)
Part a: ΔABC≈ΔAPQ
Part b: The line segment PQ corresponds to the line segment BC.
Part c: Angle P in APQ triangle angle equates to angle B.
Define the term similarity rule of triangles?If two triangles have a similar ratio of adjacent angles and an equal proportion of corresponding sides, they are comparable. When two or more objects share the same shape but differ in size, they are referred to as comparable figures.Part a: line segment PQ parallel to BC; PQ||BC
Thus, ∠ABC =∠APQ AND, ∠ACB=∠AQP
So, by (AA similarity rule)
ΔABC≈ΔAPQ
Part b: The line segment APQ on the triangle corresponds to the line segment BC:
By CPST, line segment PQ on triangle APQ equates to line segment BC (corresponding parts of similar triangle).
Part c: APQ triangle angle equates to angle B:
Angle P on triangle APQ equals angle B via CPST (corresponding parts of similar triangle).
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in developing patient appointment schedules, a medical center wants to estimate the mean time that a staff member spends with each patient. use a planning value for the population standard deviation of seven minutes. (round your answers up to the nearest integer.) how large a sample should be taken if the desired margin of error is two minutes at a 95% level of confidence?
A sample should be 47 to be taken if the desired margin of error is two minutes at a 95% level of confidence
Given information:
A medical facility wants to determine the average amount of time each patient spends with a staff member while creating patient appointment schedules. utilize a planned value of seven minutes for the population's standard deviation.
б=7, ME=2
95% Confidence (to the nearest whole number):
For 95% confidence interval z-critical value is z_{c}=1.96. So
n = (z * б /ME )² = (1.96* 7/ 2)= 47.05
The Requried sample size is 47
If the acceptable margin of error is two minutes at a 95% level of confidence, then a sample of 47 should be taken.
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a sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. in a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds. conduct the appropriate hypothesis test using a 0.01 level of significance. a) what are the appropriate null and alternative hypotheses?
We accept the null hypothesis, according to which the average amount of trash per bin is equal to 50.
Hypothesis.Though there is not so much information, but the fact that $700 is an average. We can work with two hypothesis at first, he first Hypothesis before the downturn the rent are over $700. And the second one, the bedroom rent are under $700.Graphically, the shaded area before the downturn, represents the set of values for Rents greater than $700. So, rent (y) > 700) Graphically, the shaded area after the downturn, represents the set of values for Rents lesser than $700. So, rent 700 <y<0A hypothesis is an educated prediction regarding the solution to a scientific question that is supported by sound reasoning. It is the expected result of the experiment, however it is not proof in an experiment.Depending on the information received, it might be supported or might not be supported at all.acc to our question-
A sanitation supervisor is interested in testing o see if the mean amount of garbage per bin is different from 50.This means that the null hypothesis is:And the alternate hypothesis is:The test statistic is:In which X is the sample mean, is the value tested at the null hypothesis, is the standard deviation and n is the size of the sample.50 tested at the null hypothesis:This means that In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.This means that Value of the test statistic:p-value:Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03z = 1.03 has a pvalue of 0.84851 - 0.8485 = 0.15152*0.1515 = 0.30300.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.learn more about hypothesis click here:
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The price of a pair of Nike Panda's
increases from $52 to $64. What is the
percent increase to the nearest
percent?
Answer: 23%
PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!
Triangle QRS and its dimensions are shown.
s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.
Which measurements in centimeters represent the dimensions of a triangle that is similar to triangle QRS?
The dimensions that represent a similar triangle to triangle QRS are given as follows:
B. 10 cm, 20 cm, 25 cm.
What are similar triangles?Similar triangles are two triangles that have the same angle measures.
These triangles will also have proportional side lengths, because of the sine/cosine/tangent relations in a right triangle and the law of sines for non-right triangles.
In this problem, we want a triangle that is similar to a triangle with the dimensions presented as follows:
s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.
Hence all these dimensions have to be multiplied by the same scale factor.
Then, option B is correct, as the ratios between the lengths are given as follows:
10/6 = 20/12 = 25/15 = 5/3.
Meaning that all sides were multiplied by 5/3.
Missing InformationThe problem is given by the image at the end of the answer.
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Answer Answer is B, thank you, I just love to help.
Step-by-step explanation:
a random sample of 42 college graduates revealed that they worked an average of 7.3 years on the job before being promoted. the sample standard deviation was 2.9 years. using the 0.99 degree of confidence, what is the confidence interval for the population mean?
The confidence interval for the population mean with 99% confidence interval is (6.90;8.50).
What is meant by confidence interval?A confidence interval is a set of values that, with a particular level of certainty, includes a population value. When a population mean is between an upper and lower interval, it is frequently stated as a percentage.
The population mean is mean [tex]\bar{x}[/tex]=7.3.
The sample's standard deviation is 2. 9
Number of samples: 42
The range of possibilities for the mean, [tex]\bar{x}[/tex]
The confidence interval for the mean is
[tex]\bar{x}[/tex] ± (σ/√n)
To calculate the critical value, we must first determine the degrees of freedom, which are given by:
df=n-1
df=42-1
df=41.
Since the confidence level is 0.99 or 99%, the values of and can be used to calculate the critical value using Excel, a calculator, or a table is 2.701
7.3-2.701(2.9/√42)=6.9013
7.3+2.701(2.9/√42)=8.5086
The 99% confidence interval in this instance would therefore be provided by (6.90;8.50).
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List all factors of the numerator and denominator. Use gcf method to simplify Creduce) each fraction. You must show work
The reduced fraction is 7 using GCF method.The GCF is also known as the Highest Common Factor (HCF)
What is GCF method?The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)
The fraction = 14/66
The factors of 14 = 2×2×2×3
The factors of 28 = 11*3*2
The gcf is 2 × 2 = 4
Divide the denominator and numerator by 4
14 ÷2 = 7
14÷ 2 = 7
We get,
The fraction = 14/2 =7
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Solve the inequality 2m - 125 or 5m> -25.
Answer:
m = -5
Step-by-step explanation:
I'm not sure of the first part, but this is how to solve the second:
5m > -25
5m/5 > -25/5
m = -5
Find the measurement of V.
Answer: 60 degrees
Step-by-step explanation: Because all sides are equilateral, and in an equilateral triangle all angles are 60 degrees, hope that helps.
Solve using method of elimination (full working out step by step)
-4x + 3y = 31
4x- y = -21
Answer:
answer in the picture step by step
The dimensions of a rectangle can be expressed as x+4 and x-3. If the area of the rectangle is 60 inches squared, find the dimensions of the rectangle
Step-by-step explanation:
length(l)=x+4
breadth(b)=x-3
Area of rectangle(A)=l×b
60=(x+4)×(x-3)
60=x^2-3x+4x-12
60=x^2+x-12
x^2+x-12-60=0
x^2+x-72=0
x^2+9x-8x-72=0
x(x+9)-8(x+9)=0
(x+9)(x-8)=0
equating equation
x+9=0.....eq(i)
x=-9 it is not possible
x-8=0.....eq(ii)
x=8
Then,length(l)=x+4
=8+4=12
breadth(b)=x-3
=8-3=5
simplify 8^15 ÷8^-3 math is hard for me
Answer:
8^18
Step-by-step explanation:
8^15
8^−3
=
8^15
8−3
= 8^15− (−3)
= 8^18
if the same data are analyzed using a one-way anova and the randomized block design, the sums-of-square between groups (ssb) is:
Using One way ANOVA and Randomized block design, the sum of squares between groups (ssb) is equal to the sum of sum of sum of explantary variable A's sum of squares and errors sum of square.
Statistics uses one-way ANOVA to compare the means of three or more independent groups to determine if there is a statistically significant difference between the corresponding population means. It is constructed using the sum of squares measure of total variability used in the numerator of the standard deviation, subtracting the mean, squaring the difference, and adding all observations to obtain the total variability Generate a scale. For multiple groups, we focus on decomposing this total variability (total sum of squares) into the variability between means (the sum of squares of the explanatory variable A) and the variability of the residuals or errors (the error sum of squares).
SSTotal = sum of squares = ∑( yᵢ - Y )²
Total variation is assessed by the total mean (the estimated mean of all observations, available from mean-only models).
SSA = Sum of Squares of Explanatory Variable A
Also called treatment, regression, or model sum of squares. ∑∑(yᵢⱼ - Y' )²
SSE = error (residual) sum of squares
Variation of response around group mean.
Also called the sum of squared residuals.
SSE = ∑∑( Y - Y')²
The total sum of squares is always equal to the sum of the sum of the squares of the explanatory variable A and the sum of the squared errors, SST (total) = SSA + SSE. This equation means that if SSA increases, SSE must decrease if SSTotal remains the same. This result is called the sum of squares decomposition formula.
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ASAP!! Brainliest to first answer
3x - 2/3x = 14
Answer:
x = 6
Step-by-step explanation:
Given equation,
→ 3x - (2/3)x = 14
Now the value of x will be,
→ 3x - (2/3)x = 14
→ (9/3)x - (2/3)x = 14
→ ((9 - 2)/3)x = 14
→ (7/3)x = 14
→ 7x = 14 × 3
→ x = 42/7
→ [ x = 6 ]
Hence, the value of x is 6.
Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. the car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.
Sathish will pay $64.8
When Satish is alone, kilometres:
Beginning at 150 kilometres and ending at 150 kilometres will be travelled 300 kilometres in total
When Satish is with friends, the total kilometres travelled is 2100 km:
And when Satish went alone he travelled 300 km
When Satish is with friends, total kilometres travelled: 2100-300 = 1800 km
Gas consumed in litres when Satish is alone: 100 kilometres use 6 litres of gas.
300 kilometres at 6 x 3 equals 18 litres.
So, when Satish is with friends, litres of gas are consumed: 100 kilometres use 6 litres of gas.
So, 6 × 18 for 1800 kilometres is equal to 108 litres.
Gas prices when Satish is on his own:
$1.2 per litre
18 x $1.2 = $21.6
Gas prices when Satish is travelling with friends
$1.2 per litre
108 x 1.2 = $129.6
Cost for each friend = $129.6/3 = $43.2
Satish will pay: Cost when travelling with friends + Cost when travelling alone
=$43.2+ $21.6
=$64.8
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