Mathematics, 05.12.2019 12:31 myahr159

Acar can travel 15 km per 1 liter of gas. how many miles per gallon is this? ?

Answers: 2

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Answers

The 34 mi. / gal ; or, write as : "34 miles per gallon" .

Explanation:

Convert "15 km / L" (that is: "kilometers per Liter") to its value, in units of
"mi / gal " (that is, "miles per gallon).

Note the following conversions.

1 km ("kilometer/s") = 1000 m ("meters");
1 m ("meter") = 3.2 ft ("feet" (plural)or "foot (singular)."
5280 ft. ("feet") = 1 mi. ("mile(s)") .

1 L ("Liter"), or ("liter") = 0.264172051242 gal ("gallon/s").

Let us solve by using a technique known as "dimensional analysis".

(15 km / 1 L ) = _?_ mi. / gal ?? ;

(15 km / 1 L)*(1 L / 0.264172051242 gal)*(1000m/ 1km)* (3.2 ft /1 m)*
(1 mi. / 5280 ft) = _?_ mi. / gal ??

On the left -hand side of the equation, the units of: "km", "L", "m", "ft" ; cancel to "one' ; and we are left with:

→ [(15 * 1000 * 3.2) / (0.264172051242 * 5280)] mi. / gal ;

→ = [(48000) / (1394.82843055776)] mi. / gal ;

= 34.4128345453970259 mi/ gal; round to 2 (two) significant figures ;

→ 34 mi. / gal ; or, write as 34 miles per gallon.

Answer from: Quest

answer: the answer is (b) amie should have multiplied

$54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.$

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

$v_s=\pi r^2h=\pi r^3,$

and the volume of the cylinder will be

$v_c=\dfrac{4}{3}\pi r^3=54~\textup{m}^3.$

therefore, we have

$v_c=\dfrac{4}{3}v_s=\dfrac{4}{3}\times 54=72~\textup{m}^3.$

thus, ammie should have multiplied the volume of the sphere $54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.$

Answer from: Quest

45.36 feet per second.

step-by-step explanation:

to find the most accurate determination for the number of feet per second tyrone traveled on his way to work let us convert miles to feet and minutes to seconds.

1 mile = 5280 feet.

$30\text{ miles}=(30\times 5280)\text{ feet}$

$30\text{ miles}=158400\text{ feet}$

1 minute = 60 seconds.

$58.2\text{ minutes}=58.2\times 60\text{ seconds}$

$58.2\text{ minutes}=3492{ seconds}$

now we will divide 158400 by 3492 to find the most accurate determination for the number of feet per second tyrone traveled on his way to work.

$\text{tyrone traveled on his way to work}=\frac{158400}{3492}\cdot\frac{\text{feet}}{\text{second}}$

$\text{tyrone traveled on his way to work}=45.3608247422680412\cdot\frac{\text{feet}}{\text{second}}$

$\text{tyrone traveled on his way to work}\approx 45.36\cdot\frac{\text{feet}}{\text{second}}$

therefore, tyrone traveled on his way to work at the rate of 45.36 feet per second.

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