If a car has tires with a radius of 1.5 ft and the tires are spinning at 840 rpm (revolutions per
minute), how fast is the car traveling in mph?
[There are 5280 feet in 1 mile) Round your final answer to 2 decimal places.

Answers

Answer 1

Answer:

89·98 mph

Step-by-step explanation:

First, we get the circumference of the tires:

Circumference = [tex]\pi[/tex] × (radius × 2)

Circumference = 3.142 × (1·5 × 2)

Circumference = 3·142 × 3

Circumference = 9·426 ft

The circumference of the tire is equal to one round.

      1 round = 9·426 ft

840 rounds = ?

We cross multiply to get the length that the tires would cover in a minute

= 840 × 9·426

       1

    1 minute = 7917·84 ft

60 minutes = ?

60 × 7917·84

          1

= 475070·4 ft

      5280 feet = 1 mile

475070·4 feet = ?

475070·4 × 1

     5280

475070·4 ÷ 5280 = speed of the car in mph

89·97545

Round this off to 2 decimal places...

= 89·98 mph

hope this helps! =)


Related Questions

Kyle is buying a new car. The car can be driven 24.3 miles with one gallon of gas. The
gas tank can hold 15.3 gallons of gas.
Kyle wants to know how far he can travel on a full tank of
gas. Which method and
reasoning can Kyle use to find the distance he can travel in miles?

Answers

Answer:

im sure the answer is 371.79

Step-by-step explanation:

Answer:

Unitary method

Total distance = 371.79 miles

Step-by-step explanation:

We are given that Kyle is buying a new car.

The car driven in one gallon of a gas =24.3 miles

The gas tank holds=15.3 gallons

We have to find the method and reasoning can Kyle use to find the distance he can travel in miles.

We have to find the distance travel in 15.3 gallons of a gas

So , we are using unitary method .

Unitary method : When we want to find more than one units  with the help of one unit by multiplying

Because we are finding in 15. 3 gallons which is more than one and we are given that in 1 gallon of a gas car travel 24. 3 miles

Total distance =

Hence, the distance Kyle can travel in 15.3 gallons of gas=371.79 miles

It takes a man 20 minutes longer to travel from his home to his place of business if he drives at a rate of 30 mph than if he drives at a rate of 40 mph. How many miles is his home from his place of business?

Answers

20 minutes = 1/3 hours

let the distance be S

recall that time taken = distance/velocity

so, the time taken when travelling at 30 mph is S/30

and the time taken when travelling at 40 mph is S/40

therefore

S/30 - S/40 = 1/3

multiply through by 120

4S - 3S = 40

S = 40

distance = 40 miles

The graph shows the number of words Denise types in a given number of minutes. If Denise continues to type at the same pace, how many words will she have typed in 5 minutes?

Answers

Ugh this is hard is this multiple

Answer: 250 words

Step-by-step explanation:

Equation: y= x+50

(Sorry if I’m wrong, I learned this in 6th grade)

Mrs. Java invests $4000 at 10% annual return and $6000 al 12% annual return. How much should she invest at 15% return so that her total annual retum is 13% of the total amount she has invested?​

Answers

Answer:

Step-by-step explanation:

Interpreting as: 6000

Input:

6000

Number line:

Number line

Number name:

six thousand

Roman numerals:

\!\(\("V"\)\&_\)M

Binary form:

1011101110000_2

Prime factorization:

2^4×3×5^3

Residues modulo small integers:

m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6

Properties:

6000 is an even number.

6000 is a number that cannot be written as a sum of 3 squares.

6000 has the representation 6000 = 3^5 5^2 - 75.

6000 divides 49^10 - 1.

Character code 6000:

| Tagbanwa letter sa

Unicode: U+1770 (decimal: 6000)

Mathematica: \:1770

(Tagbanwa)

Sam purchased 2 pairs of sneakers for $225 in
total. His father receives a military discount of
23%. How much were the price of the sneakers
after the discount?
Once the discount was deducted they added 7%
in sales tax. What was the final cost for the
sneakers?
help pleaseeee giving 100 points

Answers

Answer:

173.25

173.25+7=

$180.25

Step-by-step explanation:

Answer:

$185.38 i beileve. I took the discount out then added the tax

A. 78
B. 87.5
C. 100

please answer will give brainliest!!!!!!!

Answers

Answer: 100

Mode is simply the number which appears most often.

100 is the only number that appears more than once

100 because its repeated 2 times and its only one have more than 1 time

Which of the following systems has an infinite number of solutions?
A. x+y=1 and x−y=1
B. x+y=1 and x+y=−1
C. x+y=1 and −x−y=−1
D. x+y=1 and x+y=2

Answers

Answer:

C. x+y = 1 and -x-y = -1

Step-by-step explanation:

Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.  

1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)

2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.  

15 is ___% of 60 HELP YALL

Answers

Answer:

25

Step-by-step explanation:

Answer:25%

Step-by-step explanation:

Given the functions f(x) = x² – 8 and g(x) = 4-x, determine the equation for the combined function
y=f(x) - g(x).

Answers

Answer:

[tex]y=x^2+x-12[/tex]

Step-by-step explanation:

f(x) = x² – 8 and g(x) = 4-x

y=f(x) - g(x)

y=(x² – 8) - (4-x)

[tex]y=x^2-8-4+x\\y=x^2+x-12[/tex]

The circle graph shows the result of a survey. In what way is this graph misleading? Explain.

Answers

Step-by-step explanation:

because the total sum of each percent is 90%

and it must be 100% as it is a full circle

3. Jenny bought 7 jackets and 10 winter hats. The jackets cost $8 dollars each, and the winter hats cost $4 each. Write an equation to show the total cost c, in dollars, of the items Jenny bought.​

Answers

Answer:

7(8)+10(4)=c

Step-by-step explanation:

Hope this helped!

i need help i have limited time to finish and it's a big test!

Answers

Answer:

first one

Step-by-step explanation:

Will not be using brainly very much so therefore, I will not need these points take them all :D wish the best of luck for everyone!! -WishesOnStars <3

Answers

Thanks omg. That’s nice of you

Answer:

omg

Step-by-step explanation:

the parabola y=x^2 is shifted up by 2 units and to the right by 3 units. what is the equation of the new porabola

Answers

up 2 units = y shifted up by 2:
y = x^2 + 2
to the right 3 units = x shifted right (+) by 3:
y + 3 = x^2 +2
new equation:
y = x^2 - 1

13x² -7x -8 how to solve this​

Answers

Answer:

132x-8

Step-by-step explanation:

I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.

It's a simplification I don't know if you needed that.

Which of the following is equivalent to the complex number i^17

Answers

Answer:

Step-by-step explanation:

It’s a repeating pattern.

i² = -1

i³ =(i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

...

i¹⁷ = i

The value for [tex]i^{17}[/tex] is i.

What is an imaginary number?

An imaginary number is denoted by i.

The value of i is √-1.

We have,

i = √-1

i² = -1

i³ = (i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

We see that,

If the power is an even number we get 1 and -1.

If the power is an odd number we get i and -i.

Thus,

i¹⁷ = i

Learn more about imaginary numbers here:

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Which of the following could be the actual distance?

Answers

Answer:

B

Step-by-step explanation:

la mitad de un número aumentado en 4 da como resultado uno​

Answers

Answer:

Yes indeed it does

Step-by-step explanation:

WALLAHI HELP ME PLEASE I BEG ANYONE THIS IS HARD

Answers

Answer:

D.(-3,-7)

Step-by-step explanation:

5x+8=-5x-22

5x+8+5x=-22

10x+8=-22

10x=-22-8

10x=-30

x=-30/10

x=-3

y=5x+8         x=-3

y=5(-3)+8

y=-7

2. What is the perimeter of a rectangle
which is 12 metres long and 9
metres wide?
(a) 21m
(b) 42m
(c) 54m
(d) 84m
(e) 108m

Answers

Answer:

(b) 42m

Step-by-step explanation:

Perimeter of a rectangle ⇒ P=2(l+w)

Which means P=2·(12+9)

Which equals 42

1a)Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes
Answer
17 1/7

1b)How much time does it take him to complete his morning walk?

Answers

9514 1404 393

Answer:

17 minutes 8.6 seconds (17 1/7 min)2 hours 51 minutes 26 seconds (2 h 51 3/7 min)

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

__

a) For 1 km, the time in hours is ...

  time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h

In minutes, that is ...

  (60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km

__

b) The time for 10 km is 10 times the time for 1 km, so will be ...

  (10)(2/7 h) = 20/7 h = 2 6/7 h

In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.

The time for 10 km is 2 hours 51 3/7 minutes.

PLEASE HELP!!! WILL MARK BRAINLIEST

What is the perimeter of quadrilateral of MNPQ? ​

Answers

Answer:

240

Step-by-step explanation:

m + n + p+ q = perimeter

60 + 60 + 60 + 60 = 240

I'm pretty sure that's how you solve it, I'm so sorry if it's wrong

The perimeter of the given quadrilateral will be 21 units.

What is a quadrilateral?

A quadrilateral is a shape made up of the four sides having the sum of the angles 360 degrees.

The quadrilateral MNPQ has four sides 6,6,6 and 3.

The perimeter is calculated as the sum of the all the sides:-

Perimeter = 6  +  6  +  6  +  3 = 21 units

Therefore the perimeter of the given quadrilateral will be 21 units.

To know more about quadrilaterals follow

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What number is the opposite of 90?

Answers

Answer:

-90

Step-by-step explanation:

Can anyone help to answer my previous questions?

Answers

Step-by-step explanation:

Umm I can try. c:

I'll see....

Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over $50. Enzel decides to buy his graphing calculator, with a price tag of $83, at this site because he knows that he will get the 15% discount when he checks out. Enzel pays 4.5% sales tax on the discounted price and pays a shipping fee of $6.35. What is the total of Enzel’s online purchase?
a.
$80.07
b.
$80.36
c.
$86.74
d.
$93.09

Answers

The correct answers is 80.07

The total price of the graphing calculator is $80.07.

What is Percentage?

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given that,

Original price of the graphing calculator = $83

There is a 15% off on the site on all orders over $50.

Price of the calculator will be 100 - 15 = 85% of the actual price.

Price of the graphing calculator after the discount = 85% × 83

                                                                                    = 0.85 × 83

                                                                                    = $70.55

Sales tax on the discounted price = 4.5%.

Price after adding sales tax = $70.55 + (4.5% × 70.55)

                                              = $73.72475

There is a shipping fee of $6.35.

Total price = $73.72475 + $6.35

                  = $80.07475

Hence the total price is a. $80.07.

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Carl had been saving his money for weeks to buy the shoes that he had seen in the store window. The price tag said $90.00. Carl had saved $75.00.

would Carl have enough money if the shoes went on sale for 20% off?
yes or no?!​

Answers

Answer:

Yes

Step-by-step explanation:

20% of 90= 72

then you want to subtract the amount of money you have minus how much it is 75 - 72 = 3

since the answer is a positive number that means yes.

A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?

Answers

18 cm I believe because a rectangle has parallels

Answer:

24.1cm

Step-by-step explanation:

Imagine pls helpppppppp!!!!!!

Answers

Answer:

169,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is exponential growth of form

y=ar^x where y is final amount, a=initial amount, r=common ratio or rate and x=time

y=130000(1.03^10)

y=174709


PLEASE HELP WILL MARK BRAILNY

Answers

Answer: B

Step-by-step explanation: plz mark me brainliest

Which equation is correct?

75 × 4 = 70 + 5 × 4

75 × 4 = 70 × 4 + 5 × 4

75 × 4 = 700 × 4 + 5 × 4

75 × 4 = 70 × 4 + 5

Answers

The answer is A
75 x 4= 70 + 5 x 4
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