Sathish is going on a 200020002000-kilometer road trip with two friends. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter. If Sathish and his two friends want to split the cost evenly, how much should they each pay?
First calculate the total amount of liters consumed:
Volume gas consumed = (6 L / 100 km) * 2000 km = 120 L
Then calculate the total cost:
Cost = ($1.20 / L) * 120 L = $144
Since there are three of them, so each must pay:
Payment of each = $144 / 3 = $48 per person
Answer:
$48 per person
Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Final answer:
Larry's new solution has an approximate salt concentration of 11.33%. This was calculated by adding the initial mass of salt in the solution (10.5 g) to the extra salt added (15 g), resulting in a new total mass of salt (25.5 g), then dividing by the total mass of the new solution (225 g), and finally multiplying by 100%.
Explanation:
To find the percent of salt in Larry's new solution, we first need to calculate the total mass of the solution and how much of that mass is salt. Initially, we have 210 grams of a 5% salt solution. To find out how much salt that is, we use the percentage:
210 g × 0.05 = 10.5 g of salt
Now, Larry adds 15 grams of salt to this solution, so we add that amount to the initial salt mass:
10.5 g + 15 g = 25.5 g of salt
The total mass of the new solution is the sum of the mass of the original solution and the added salt:
210 g + 15 g = 225 g
Finally, to find the mass/mass percent concentration of the new solution, we divide the total mass of salt by the total mass of the solution and multiply by 100%:
((25.5 g / 225 g) × 100% = 11.33%
So, the percent of salt in Larry's new solution is approximately 11.33%.
I need to know how to solve this in order correctly and the answers well
use order of operations
8^2 = 64
4(64+4*4*8)
4(64+128)
4(192)
768
A cross-country skier skied at a rate of 10.82 miles per hour. In 2.45 hours, the skier covered 2.6509 miles.
Is this correct? Explain why or why not.
Answer:
CHEATING
Step-by-step explanation:
becaus eI got it right on egde
The information given that the skier covered 2.6509 miles is wrong because the decimal was wrongly put.
Since the cross-country skier skied at a rate of 10.82 miles per hour, it should be noted that in 2.45 hours, we've to multiply 10.82 miles by 2.45 hours and this will be:
= 10.82 × 2.45
= 26.509 miles
From the information given, we are told that in 2.45 hours, the skier covered 2.6509 miles, this is incorrect as the miles covered is 26.509 miles.
Therefore, information given that the skier covered 2.6509 miles is wrong because the decimal was wrongly put.
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Estimate the quotient 24 3/7÷3 7/13
4 1
__ / ( - __ )
5 15
I hope you got satisfied
is it possible for a 5 digit number to be rounded to a 6 digit number
Ratio of the number of students in art class to the number of students in gym class was 2:7, however art class is small, and gym class is large, students changed for the second semester. Now the students in art class to the number students in gym class is 5:4. If 75 students are in art class in second semester, how many were in art class and gym class first semester?
A composite number can be written as the product of prime numbers
Yearly homeowner property taxes are figured at a rate of $1.15 tax for every $100 of home value. Find the property taxes on a townhouse valued at $73,000.
To calculate the property taxes on a townhouse valued at $73,000, divide the value by $100 to find the number of $100 increments, and then multiply this by the tax rate of $1.15.
Explanation:To find the property taxes on a townhouse valued at $73,000, we need to calculate the tax amount based on the given tax rate. The tax rate is $1.15 for every $100 of home value.
First, we need to find how many $100 increments are there in the home value.
Divide $73,000 by $100:
$73,000 ÷ $100 = $730
Now, multiply the number of $100 increments by the tax rate:
$730 × $1.15 = $839.50
Therefore, the property taxes on a townhouse valued at $73,000 would be $839.50.
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A post card collector has 1,230 postcards if she displays them on pages that hold 6 cares each how many pages does she need ?
Graph a line passing through the point left (−3,6) and having the slope one third. Give the slope-intercept form of the equation of the line if possible.
The equation of the line passing through the point (-3,6) with a slope of a third is y = 1/3x + 7. The graph of this line can be drawn by plotting the y-intercept at (0,7) and using the slope to plot other points.
Explanation:The provided point through which the line passes is (-3,6) and the slope is a third. The general slope-intercept form of the line is y = mx + b, where m is the slope and b is the y-intercept. That is, it represents the point where the line intersects the y-axis.
Let's use this information to find the equation of the line. We know that y = mx + b. We can substitute the slope (m=1/3) and the point (-3, 6) into this equation: 6 =(1/3)(-3) + b.
Solving this for b gives us b = 6 + 1 = 7. Therefore, the equation of the line in slope-intercept form is y = 1/3x + 7.
To graph the line, you can start by plotting the y-intercept at (0,7) on the y-axis, then rise 1 unit and run 3 units (since the slope = rise/run = 1/3) from the y-intercept point to plot the second point. Connect these points to draw the line.
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She has given recently are different length one is 3 4/5 feet long and the other is 3 1/2 feet long how much would she have to cut so it will be the same length
Final answer:
To make the lengths the same, she would have to cut 0.3 feet from the longer piece.
Explanation:
To find the amount she would have to cut to make the two lengths the same, we need to subtract the smaller length from the larger length.
The first length is 3 4/5 feet, which can also be written as 3 + 4/5 = 3 + 0.8 = 3.8 feet.
The second length is 3 1/2 feet, which can also be written as 3 + 1/2 = 3 + 0.5 = 3.5 feet.
Subtracting the smaller length (3.5 feet) from the larger length (3.8 feet), we get:
3.8 feet - 3.5 feet = 0.3 feet.
So she would have to cut 0.3 feet from the longer piece to make the lengths the same.
If the machine has a probability of failure of 0.01, what is the probability of more than 1 failure occurring in a batch of 20 envelopes?
the point (4,7) is on the graph of y=x^2+c. what is the value of c?
The value of c in the equation y = x² + c, given the point (4,7) lies on the graph, is found to be -9 after substituting the point's coordinates into the equation and solving for c.
To find the value of c in the equation y = x² + c, where the point (4,7) is on the graph, we substitute the x and y values from the point into the equation. This gives us:
7 = 4² + c
7 = 16 + c
Now, we subtract 16 from both sides to solve for c:
c = 7 - 16
c = -9
Therefore, the value of c is -9.
Suppose that a large mixing tank initially holds 700 gallons of water in which 50 pounds of salt have been dissolved. another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. if the concentration of the solution entering is 4 lb/gal, determine a differential equation for the amount of salt a(t) in the tank at time t > 0. (use a for a(t).)
The differential equation for the amount of salt a(t) in the tank at time t > 0 is dA(t)/dt = 12 - 2A(t)/(35 + (3 - 2)t).
Explanation:To find the differential equation for the amount of salt a(t) in the tank at time t > 0, we need to consider the rate of change of the salt concentration in the tank.
Let A(t) represent the amount of salt in the tank at time t. The salt entering the tank each minute is given by the concentration (4 lb/gal) multiplied by the rate of inflow (3 gal/min), which is 12 lb/min.
The salt leaving the tank each minute is given by the concentration in the tank (A(t)/V(t)) multiplied by the rate of outflow (2 gal/min), which is 2A(t)/(35 + (3 - 2)t).
Therefore, the rate of change of the salt in the tank is given by the difference between the rate of inflow and the rate of outflow: dA(t)/dt = 12 - 2A(t)/(35 + (3 - 2)t). This is our differential equation for the amount of salt in the tank.
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Wich is bigger two thirds of 30 or one fifth of 25?
The apartments in Ericas apartment house are consecutively numbered on each floor. The sum of her and next door neighbor's number is 2409. What are the two numbers?
What number do you subtract from 3 to get 10?
there are 2 aircraft carriers , A&B, and carrier a is longer in length than carrier B. The total length of these 2 carriers is 4,198 ft, while the differences of their lengths is only 10ft. Find the length of each carrier
Carrier A is 2104 feet long and carrier B is 2094 feet.
Explanation:This problem can be solved using simple algebra. Let's denote the length of carrier A as 'a' and the length of carrier B as 'b'. We know two things about these lengths from the question:
The sum of the lengths is 4198 feet, hence: a+b=4198Carrier A is longer by 10 feet, hence: a-b=10Now, you can add these two equations together to eliminate 'b'. This will give: 2a=4208. Hence, by dividing by 2, you will find that a=2104. Now, substitute a=2104 back into the first equation: a+b=4198. This will give: 2104+b=4198, which simplifies to b=2094. So, the length of carrier A is 2104 feet and the length of carrier B is 2094 feet.
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WILL GIVE THE BRAINLIEST ANSWER!!!
Select the postulate that is illustrated for the real numbers.
25 + 0 = 25
The commutative postulate for multiplication
Multiplication by one
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
Additive identity
The multiplication inverse
the tangent line to the curve y=x^3-6x^2-34x-9 has slope 2 at two points on the curve. find the two points
To find the two points where the tangent line to the curve y=x^3-6x^2-34x-9 has a slope of 2, we need to find the derivative of the function and set it equal to 2. The two points are (2, f(2)) and (6, f(6)), where f(x) = x^3-6x^2-34x-9.
Explanation:To find the two points where the tangent line to the curve y=x^3-6x^2-34x-9 has a slope of 2, we need to find the derivative of the function and set it equal to 2.
First, we find the derivative of the function:
dy/dx = 3x^2 - 12x - 34
Next, we set the derivative equal to 2 and solve for x:
3x^2 - 12x - 34 = 2
3x^2 - 12x - 36 = 0
Using the quadratic formula, we find the solutions for x:
x = (-b ± √(b^2 - 4ac))/(2a)
Substituting the values a = 3, b = -12, and c = -36 into the quadratic formula, we get:
x = (-(-12) ± √((-12)^2 - 4(3)(-36)))/(2(3))
x = (12 ± √(144 + 432))/6
x = (12 ± √(576))/6
x = (12 ± 24)/6
x = 12/6 ± 24/6
x = 2 ± 4
So the two points where the slope of the tangent line is 2 on the curve are (2, f(2)) and (6, f(6)), where f(x) = x^3-6x^2-34x-9.
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Caecillia can run 3 over 20 of a Marathon in 2 over 3 of an hour compute the unit rate
If the probability of drawing an ace from a deck of cards is 0.077 and the probability of rolling a "2" using a fair die is 0.167, then the probability of drawing an ace and rolling a "2" is
The probability of drawing an ace and rolling a "2" is 0.012859.
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that the probability of drawing an ace from a deck of cards is 0.077 and the probability of rolling a "2" using a fair die is 0.167.
The probability of drawing an ace and rolling a "2" is calculated as,
Probability = 0.077 × 0.167
Probability = 0.012959
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What is -9/10 - 7.1?
Evaluate the numerical expression
[18 Divided by (2 x 3)] x 4
A line can be defined in general form by the equation Ax+By = C where A, B and C are constants. You may assume that both A and B are non-zero. Then the slope of the line is , its x intercept is , and its y intercept is . Of course your answers will depend on A, B, and C. Remember that mathematics, and WeBWorK, are case sensitive, so make sure to use upper case letters A, B and C.
Final answer:
The slope of a line in general form can be found by rearranging the equation to solve for y. The x-intercept is obtained by setting y = 0 and solving for x, while the y-intercept is obtained by setting x = 0 and solving for y.
Explanation:
The slope of a line defined in general form by the equation Ax+By = C can be found by rearranging the equation to solve for y, resulting in y = (-A/B)x + (C/B). The coefficient of x, -A/B, represents the slope of the line. The x-intercept can be found by setting y = 0 and solving for x, resulting in x = C/A. Similarly, the y-intercept can be found by setting x = 0 and solving for y, resulting in y = C/B.
Hera spent $16 on dinner. Then she spent S6 on dessert and some more on a taxi ride. Including the taxi fare, she spent a total of $31. How much money did Hera spend on the taxi ride? 2. (a) What is the unknown information? (b) Let x represent the unknown information. Write an addition equation that models the problem. (c) Solve the equation. (d) Answer the question PLEASE HELP !!!
A) unknown information is how much she spent on the taxi ride
B) 31 = x +16+6
C ) 31= x +22
x =31-22 = 9
She spent $9 on the taxi
(A) How much money Hera spent on the taxi ride.
(B) 31 = x + 16 +6
(C) 16 + 6 = 22 31 - 22 = 9
(D) She spent $9 on the taxi.
(also sorry im uh 4 years late aldksjfladfoajsdflkj)
Ten subtracted from seven times a number is 25 what is the number ?
A tank initially contains 200 gallons of brine, with 50 pounds of salt in solution. brine containing 2 pounds of salt per gallon is entering the tank at the rate of 4 gallons per minute and is is flowing out at the same rate. if the mixture in the tank is kept uniform by constant stirring, find the amount of salt in the tank at the end of 40 minutes. the amount of salt in the tank at the
Final answer:
The amount of salt in the tank at the end of 40 minutes is still 50 pounds.
Explanation:
To find the amount of salt in the tank at the end of 40 minutes, we need to calculate the change in the amount of salt in the tank over that time period.
The tank contains 200 gallons of brine with 50 pounds of salt in solution. Brine containing 2 pounds of salt per gallon is entering and exiting the tank at a rate of 4 gallons per minute.
Since the rate of flow in and out of the tank is the same, the amount of salt in the tank remains constant. Therefore, the amount of salt in the tank at the end of 40 minutes is still 50 pounds.