Question

A circuit is 3500 meters long, each vehicle uses an average of 60 liters per 100 and each half liter costs 2.50. If a vehicle makes 30 laps, what will be the cost per lap?

274

likes
1371 views

Answer to a math question A circuit is 3500 meters long, each vehicle uses an average of 60 liters per 100 and each half liter costs 2.50. If a vehicle makes 30 laps, what will be the cost per lap?

Expert avatar
Rasheed
4.7
110 Answers
The length of the circuit is 3500 meters, which is equivalent to: 3500 \, \text{meters} = 3.5 \, \text{kilometers} If the vehicle makes 30 laps, the total distance is: 30 \times 3.5 \, \text{kilometers} = 105 \, \text{kilometers} The vehicle uses 60 liters of fuel per 100 kilometers, so for 105 kilometers, it will use: 60 \, \text{liters} \times \frac{105 \, \text{kilometers}}{100 \, \text{kilometers}} = 63 \, \text{liters} Each half liter costs 2.50 monetary units, so one full liter costs: 2 \times 2.50 \, \text{monetary units} = 5.00 \, \text{monetary units} Therefore, the total cost for 63 liters is: 63 \, \text{liters} \times 5.00 \, \text{monetary units} = 315 \, \text{monetary units} To find the cost per lap, we divide the total cost by the number of laps: \frac{315 \, \text{monetary units}}{30 \, \text{laps}} = 10.50 \, \text{monetary units/lap}

Frequently asked questions (FAQs)
What is the formula for finding the slant height of a cone given its radius and height?
+
Math Question: Solve the inequality 5x - 2 > 18 and express the solution set using interval notation.
+
What is the length of the perpendicular bisector of a triangle with side lengths 8, 15, and 17?
+
New questions in Mathematics
Simplify the expression sin³(x)+cos³(x), using trigonometric functions
-6(3x-4)=-6
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
-3x 2y = -6; -5x 10y = 30
Pedro had 80% of the amount needed to buy a game. Of this amount, you spent 15% on a watch and therefore, you will need to add another R$640.00 to purchase this game. Is the value of the game?
Find 2 numbers whose sum is 47 and whose subtraction is 13
3.24 ÷ 82
30y - y . y = 144
Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.
List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)
Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.
(X+2)(x+3)=4x+18
there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can (reproduce). Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?
22. Let [AB] be a chord in a circle C, and k a circle which is internally tangent to the circle C at a point P and to the chord [AB] at a point Q. Show that the line P Q passes through the midpoint of the arc AB opposite to the arc APB.
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
Emile organizes a community dance to raise funds. In addition to paying $300 to rent the room, she must rent chairs at $2 each. The quantity of chairs rented will be equal to the number of tickets sold. She sells tickets for $7 each. How much should she sell to raise money?
answer this math question The scale on a map is drawn so that 5.5 inches corresponds to an actual distance of 225 miles. If two cities are 12.75 inches apart on the map, how many miles apart are they? (Round to the nearest tenth) miles apart. The two cities are how many miles apart
The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?
An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?