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OleMash [197]
3 years ago
12

Chemistry is an experimental science in which a consistent system of measurements is used. Scientists throughout the world use t

he International System of Units (Système International or SI), which is based on the metric system. However, the metric system in not used on an everyday basis in the United States. It is often necessary to convert between the English system, which is used in the United States, and the SI system. One problem with the SI system is the size of the units sometimes turns out to be inconveniently large or small. Therefore it is often necessary to make conversions within the SI system. For this reason, SI units are modified through the use of prefixes when they refer to either larger or smaller quantities.
Part A

In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 22.0mi/gal , how many liters of gasoline would you need to buy to complete a 142-km trip in Europe? Use the following conversions:1km=0.6214mi and 1gal=3.78L.

Part B

While in Europe, if you drive 115km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 30.0mi/gal ? Assume that 1euro=1.26dollars.

Part C

A sprinter set a high school record in track and field, running 200.0 m in 20.9s . What is the average speed of the sprinter in kilometers per hour?

Part D

A specific brand of gourmet chocolate candy contains 7.00 g of dietary fat in each 22.7-g piece. How many kilograms of dietary fat are in a box containing 4.00lb of candy?
Mathematics
1 answer:
Elena L [17]3 years ago
8 0

Answer:

(a) 142 km trip requires 15.16 Liters of Gasoline

(b) The money spent is 69.34 euros or $87.37.

(c) The average speed of sprinter is 34.45 km/h.

(d) 4 lb of candy contains 0.559 kg of dietary fat.

Step-by-step explanation:

(a)

Given that;

Mileage = 22 mi/gal

Converting it to km/L

Mileage = (22 mi/gal)(1 gal/3.78 L)(1 km/0.6214 mi)

Mileage = 9.36 km/L

Now, the gasoline required for 142 km trip:

Gasoline Required = (Length of trip)/(Mileage)

Gasoline Required = (142 km)/(9.36 km/L)

<u>Gasoline Required = 15.16 L</u>

(b)

Given that;

Mileage = 30 mi/gal

Converting it to km/L

Mileage = (30 mi/gal)(1 gal/3.78 L)(1 km/0.6214 mi)

Mileage = 12.77 km/L

Now, the gasoline required for 142 km trip:

Gasoline Required = (Length of trip)/(Mileage)

Gasoline Required = (115 km/day)(7 days/week)/(12.77 km/L)

Gasoline Required = 63 L/week

Now, we find the cost:

Weekly Cost = (Gasoline Required)(Unit Cost)

Weekly Cost = (63 L/week)(1.1 euros/L)

<u>Weekly Cost = 69.34 euros/week = $87.37</u>

since, 1 euro = $1.26

(c)

Average Speed = (Distance Travelled)/(Time Taken)

Average Speed = 200 m/20.9 s

Average Speed = (9.57 m/s)(3600 s/1 h)(1  km/ 1000 m)

<u>Average Speed = 34.45 km/h</u>

(d)

22.7 g piece contains = 7 g dietary fat

(22.7 g)(1 lb/453.592 g) piece contains = (7 g)(1 kg/1000 g) dietary fat

0.05 lb piece contains = 0.007 kg dietary fat

1 lb piece contains = (0.007/0.05) kg dietary fat

4 lb piece contains = 4(0.007/0.05) kg dietary fat

<u>4 lb piece contains = 0.559 kg dietary fat</u>

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Answer:

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Step-by-step explanation:

The two values are equal.

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5 0
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Who can help me with this please and thank you show work need it for tomorrow In the morning
zepelin [54]

Answer:

see explanation

Step-by-step explanation:

(a)

given \sqrt{2x-6} + 2 = 10 ( subtract 2 from each side )

\sqrt{2x-6} = 8 ( square both sides )

2x - 6 = 64 ( add 6 to both sides )

2x = 70 ( divide both sides by 2 )

x = 35

As a check

\sqrt{70-6} + 2 = \sqrt{64} + 2 = 8 + 2 = 10 correct

(b)

given T= 8, then substitution into the formula gives

8 = 1.25\sqrt{l} ( divide both sides by 1.25

\sqrt{l} = 6.4 ( square both sides )

l = 6.4² = 40.96 feet

(c)

note that (g - f)(x) = g(x) - f(x), hence

x - 10 -(4x + 4) = x - 10 - 4x - 4 = - 3x - 14




4 0
3 years ago
the width of a basketball court is 5 feet less than three times the length. if the perimeter is no more than 500 feet, what is t
alina1380 [7]

The possible value of the basketball length is 63.75 feet

Step-by-step explanation:

The given is:

  • The width of a basketball court is 5 feet less than three times the length
  • If the perimeter is no more than 500 feet

We need to find the possible length of the basketball court

Assume that the length of the basketball court is x feet

∵ The length of the basketball court is x feet

∵ The width of it is 5 feet less than three times the length

- Multiply x by 3 and then subtract 5 from the product

∴ The width is 3x - 5

∵ The perimeter is no more than 500 feet

- No more means ≤

∴ The perimeter is ≤ 500

∵ The perimeter = 2(length + width)

∴ The perimeter = 2(x + 3x - 5)

- Add like terms

∴ The perimeter = 2(4x - 5)

- Substitute the perimeter in the inequality above

∴ 2(4x - 5) ≤ 500

- Simplify the left hand side

∴ 8x - 10 ≤ 500

- Add 10 to both sides

∴ 8x ≤ 500

- Divide both sides by 8

∴ x ≤ 63.75

The possible value of the basketball length is 63.75 feet

Learn more:

You can learn more about inequalities in brainly.com/question/11788572

#LearnwithBrainly

3 0
3 years ago
Misty wishes to obtain 85 ounces of a 40% acid solution by combining a 72% acid solution with a 25% acid solution. How much of e
ad-work [718]
<h2>Answer:</h2><h2>Misty needs 27.13 ounces of 72% acid and 57.87% of 25% acid solution.</h2>

Step-by-step explanation:

85 ounces of 40% acid solution = 85 (0.4) = 34

Also, x + y = 85 ... (1)

0.72x + 0.25y = 34  

72x + 25y = 3400 ...(2)

multiply eq (1) by 25, we get 25x + 25y = 2125 ... (3)

subtracting eq(2) and (3), we get 47x = 1275

x = 27.13 substitute in eq(1), we get

y = 57.87

Misty needs 27.13 ounces of 72% acid and 57.87% of 25% acid solution.

6 0
3 years ago
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