1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pavel [41]
3 years ago
11

A car is traveling at 48 miles per hour. What is the speed of the car in centimeters per second? (1 mile = 5,280 feet, 1 foot =

12 inches, 1 centimeter = 0.39 inch)
Mathematics
2 answers:
Contact [7]3 years ago
8 0
The speed of the car in centimeters per second based on the information given would be 2,145.8
GenaCL600 [577]3 years ago
7 0

A car is traveling at 48 miles per hour. What is the speed of the car in centimeters per second? (1 mile = 5,280 feet, 1 foot = 12 inches, 1 centimeter = 0.39 inch)

Solution:

We have 48 \frac{miles}{hour}

To convert, miles to centimeters.

Let us convert miles to feet and then inches and then centimeters.

1miles=5280feet

And, 1 foot=12inches

So, 5280 feet or 1 miles =12*5280inches

So, 1miles=63360inches

Now, Let us convert inches to centimeters

1centimeter=0.39inches

Or, 1 inch= \frac{1}{0.39} centimeter

So, 63360inches (or 1 mile)= \frac{63360}{0.39} centimeter

1mile or 63360inches=162461.54centimeter

1mile=162461.54 centimeter

We have, 48 \frac{miles}{hour}

We have, 48 *\frac{162461.54 centimeter}{60minutes}

We have, 48* \frac{162461.54 centimeter}{60*60seconds}

So,  We have, 48* \frac{162461.54 centimeter}{3600seconds}

=48*\frac{162461.54}{3600}\frac{centimeters}{second}

=48*45.13\frac{centimeters}{second}

=2166.15\frac{centimeters}{second}

Answer:= Speed of the car in centimeters per second is 2166.15 centimeters/second

You might be interested in
A triangle has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and
Yuki888 [10]

Answer:

-6m and -6k

Step-by-step explanation:

(5k - 7) = -2k (k - 4) = -4k + -2k = -6k. (3m - 9) = -6m.

7 0
3 years ago
SOMEONE PLEASE HELP!!
jeyben [28]

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = \frac{1}{2} RT = \frac{1}{2} × 36 = 18

5 0
3 years ago
M is the midpoint of EF, EM = 3x – 2, and MF = x + 8.<br><br> What is MF?<br><br> MF =
murzikaleks [220]
4x + 6
3x - 2 = x + 8
x = 5
MF = 26
6 0
3 years ago
A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex
Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general  equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

I=P*r*t

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

x+y=50000

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

x+y=50000\\12500+y=50000\\y=50000-12500=37500

Therefore, the loan at 8% is $37500

5 0
3 years ago
(6,3*10^-2)÷(2,1*10^4​
nexus9112 [7]

Answer:

  • 3*10^{-6} or 0.000003

Given expression:

  • (6.3*10^{-2}) : (2.1*10^4)

Simplify it in steps below:

  • (6.3*10^{-2}) : (2.1*10^4) =
  • (6.3 :2.1)*(10^{-2}:10^4)=
  • 3*(10^{-2-4})=
  • 3*10^{-6} or 0.000003

<u>Used properties:</u>

\cfrac{ab}{cd}=\cfrac{a}{c}*\cfrac{b}{d}

a^b:a^c=a^{b-c}

a^{-b}=1/a^b

7 0
1 year ago
Read 2 more answers
Other questions:
  • Wes and Libbie each surveyed groups of students to find whether they would prefer going to an art museum or to the zoo. Wes foun
    8·1 answer
  • I need help please
    11·2 answers
  • Analyze the diagram below and complete the instructions that follow. Find M
    10·1 answer
  • Find the coordinates of the points of intersection of the graphs with coordinate axes:
    14·1 answer
  • Which equation shows y+15=3x in standard form?<br> PLZ help, I'm desperate 12 pts!!!
    6·2 answers
  • How do i do 267.9 ÷ 9.5?
    10·2 answers
  • Sara ran a race at a constant speed of 10 minutes per mile. The entire race was 10 miles long. How many minutes did it take her
    8·2 answers
  • Which equation shows a slope of 3 and a y-intercept of (0,7) ?
    13·2 answers
  • Please help meh <br> Which inequality is represented by this graph?
    13·2 answers
  • I am making quilts out of my grandma's square handkerchief collection. I have
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!