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The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles 4.97 miles

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# Tag: miles

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On a vacation, DeVante and his family traveled 382 miles at 64 mph. How long did the trip take? (Round to the nearest hundredth)

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$.80x=$75+$.38x

then you subtract .38x on both sides and get

$.42x=$75

once thats done you will divide .42 on both sides leaving the variable x by itself…

and then x=178.57miles

but to break even it would be 179 miles for both of the plans to cost the same

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How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? how to write a formula

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A construction crew is lengthening a road. The road started with a length of 59 miles, and the crew is adding 3 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 34 days. Equation: Total length of the road after 34 days: ____miles

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Two for service watchtowers spot a fire in the distance the fire is 27 miles from tower to about how far apart are they to watch towers please help

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### Answered by answersmine AT 22/10/2019 – 03:48 AM

To convert inches to miles, you would first have to convert inches to feet, and since there are 12 inches in a foot, the first step would be multiply by 12. After converting 12 inches to 1 foot, you would then have to take 1 and multiply by 5,280, since there are 5,280 feet in a mile, so the answer would be A, Multiply by 12, then multiply by 5,280.

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If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in miles per hour

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Harley is on a trip with her dad. Her dad tells her that they’ve traveled 182.6 miles and they are 83% of the way to their destination. How many miles long is their trip?

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15,000 inches per minute = 900,000 inches per hour (multiply by 60)

1 mile = 5,280 feet (google-able fact you shouldn’t have to memorize)

1 foot = 12 inches (you probably already know this)

900,000 inches = 75,000 feet (divide by 12)

75,000 feet = 14.20454545454545. . . miles (divide by 5280)

Linear velocity in miles per hour is 14.20454545454545. . . miles per hour.

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**Answer:**

** Distance between plane and airport is 134.4 miles.**

**Step-by-step explanation:**

**Given :** An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W.

**To find :** How far is the plane from the airport.

**Solution :** Distance from airport to west is 150 miles and then 170 miles in the direction south and angle form is S 49.17° W

**Refer the attached picture for clearance.**

**Applying law of cosines**

where a= 150 miles

b=170 miles

C= 49.17° angle in degree

c = distance between plane from the airport

**Put values in the formula,**

**Therefore, Distance between plane and airport is 134.4 miles.**

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Divide this by (1/6) hour:

5

—

2

——– (miles/hour)

1

—

6

To divide by the fraction 1/6, invert it and multiply. We get

5 6

— (miles) * ———— = (30/2) mph = 15 mph

2 1 hour

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Which is the best way to rewrite these sentences? They had to walk over 1,000 miles of rough terrain, as thousands of men, women, and children went from their Georgia homelands to Oklahoma. Forced to march over 1,000 miles of rough terrain, thousands of men, women, and children abandoned their Georgia homelands for Oklahoma. Forced to march over 1,000 miles of rough terrain, as thousands of men, women, and children walked from their Georgia homelands for Oklahoma.

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Which is the best way to rewrite these sentences? They had to walk over 1,000 miles of rough terrain, as thousands of men, women, and children went from their Georgia homelands to Oklahoma. Forced to march over 1,000 miles of rough terrain, thousands of men, women, and children abandoned their Georgia homelands for Oklahoma. Forced to march over 1,000 miles of rough terrain, as thousands of men, women, and children walked from their Georgia homelands for Oklahoma.

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In a race that consist of three parts,the cycling 12 1/2 miles long,the running part of the race was 1/4 the distance of cycling,the kayaking is 1/2 the distance running.what is the entire distance in miles of the race

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To answer this problem, we will use the formula of

hypotenuse:

c^2 = a^2 + b^2

Where,

c = total distance traveled / displacement = 119 miles

a = distance traveled north = 5 hours * x mph = 5 x

b = distance traveled west = 4 hours * (x + 5) mph = 4 (x

+ 5)

Substituting to the equation:

119^2 = (5 x)^2 + [4(x + 5)]^2

14,161 = 25 x^2 + 16 (x + 5)^2

14,161 = 25 x^2 + 16 (x^2 + 10 x + 25)

14,161 = 25 x^2 + 16 x^2 + 160 x + 400

0 = 41 x^2 + 160 x – 13,761

x =[ – b ± sqrt (b^2 – 4ac)]/ 2a

x = [- 160 ± sqrt (160^2 – 4 * 41 * (– 13,761))] / 2 * 41

x = – 1.95 ± 18.42

x = -20.37 , 16.47

Since speed cannot be negative, therefore x = 16.47

Therefore the speed of the ship travelling west is:

**x +
5 = 21.47 mph (ANSWER)**

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speed of train=x-30

A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck.

A loaded moving truck is traveling 30 mph faster than a freight train…

(x-30)=speed of train

the time it takes the train to travel 135 miles, the truck travels 225 miles…

135/(x-30)=225/x

the you multiply on both sides the x values and get…

135x=225x-6750

then you subtract 225x on both sides…

-90x=-6750

then you divide -90 on both sides…

x=75

the speed of the truck is 75mph

i hope this helped give me a thanks and a 5 star rating if it helped! c:

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**Answer:**

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

**Explanation:**

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t² (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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**Answer:**

Option C – BD=76 cm

**Step-by-step explanation:**

**Given :** You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

**To find : **How long BD should it be?

**Solution : **

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

**Two disjoint pairs of consecutive sides are congruent.**

**So,** AD=AB=44.8 cm

DC=BC=72 cm

**The diagonals are perpendicular.**

**S**o, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC= …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

**Applying Pythagorean theorem in ΔAOD**

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

**Applying Pythagorean theorem in ΔCOD**

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

**Subtract [2] and [3]**

……….[4]

**Add equation [1] and [4], to get values of x and y**

**Substitute x in [1]**

**Substitute value of x in equation [2], to get z**

**We know, **BD=z+z

BD= 38.06+38.06

BD= 76.12

**Nearest to whole number **BD=76 cm

**Therefore, Option c – BD=76 cm is correct.**

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Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies.

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface.

m₁=10 g=0.01 kg is the mass of the pencil

m₂=20 g=0.02 kg is the mass of the eraser

r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h.

So the time for the pencil and eraser to touch is T=1.3449 hours.

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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A ship traveled for a total of 72 miles over the course of 6 hours. Heading south, the ship traveled at an average speed of 13 miles per hour, and heading east, it traveled at an average speed of 10 miles per hour. For how many hours was the ahi heading east?

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**Answer:**

**Number of copy machines must be made to minimize the unit cost=160.**

**Step-by-step explanation:**

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

If machines are made =x

Then the unit cost function is given by

We have to find the number of copy machines for minimize the unit cost

Differentiate with respect to x

Then we get

……(equation I)

To find the value of x then we susbtitute is equal to zero

By using division property of equality

Again differentiate the equation I with respect to x then we get

Hence, the unit cost is minimize for x=160

**Therefore, the number of copy machines must be made to minimize the unit cost =160**

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The statement is equivalent to

120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:

n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.

You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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Cumulative Pay $6,800 $10,500 $8,400 $66,000 $4,700

Pay subject to FICA S.S. $421.60 $651.00 $520.80 $4092.00 $291.40

6.2%, (First $118,000)

Pay subject to FICA Medicare $98.60 $152.25 $121.80 $957.00 $68.15

1.45% of gross

Pay subject to FUTA Taxes $40.80 $63.00 $50.40 $396.00 $28.20

0.6%

Pay subject to SUTA Taxes $367.20 $567.00 $453.60 $3564.00 $253.80

5.4% (First $7000)

Totals $928.20 $1,433.25 $1,146.60 $9,009.00 $641.55

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**Answer:**

(A)

**Step-by-step explanation:**

It is given that lines v and w are parallel, then from the given figure, ∠2 and ∠6 form corresponding angle pair, therefore ∠2=∠6.

A.**∠2+∠6=180°, his is incorrect** because ∠2 and ∠6 form corresponding angle pair and are equal.

B.**∠5≅∠8** because ∠5 and ∠8 form vertically opposite angle pair. Thus, this option is **correct.**

C.Since, sum of interior angles on the same side of transversal is 180°, therefore **∠3+∠5=180°, thus this option is correct.**

D.**∠1≅∠5 **because ∠1 and ∠5 form the corresponding angle pair and are equal. Thus, this option is **correct.**

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