answer.
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
yKpoI14uk [10]
1 year ago
8

Over the course of a year,a tractor-trailer commutes 160,000 miles across America.Assuming a trucker changes his tires every 40,

000 miles,and that he starts with a brand new set of tires,how many sets of tires will he use in a year?
Mathematics
2 answers:
d1i1m1o1n [39]1 year ago
8 0

Answer:

He will use 4 sets of tires in a year.

Step-by-step explanation:

This question can be solved by a rule of three.

We have that:

Each set of tires lasts 40,000 miles. How many sets are going to be needed for 160,000 miles. So:

1 set - 40,000 miles

x sets - 160,000 miles

40000x = 160000

x = \frac{160000}{40000}

x = 4

He will use 4 sets of tires in a year.

Nikolay [14]1 year ago
3 0
160,000 - 40,000= 120,000/4 = 3 sets of new tires in the first year and 4 every consecutive year.
You might be interested in
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring size
Rom4ik [11]
Mean: ( 9 + 7 + 6.5 + 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 ) : 10 = 7.15
Variance:
(Sigma)² = ( 1.85² + 0.15² + 0.65² + 0.35² + 0.15² + 0.85² + 2.15² + 1.15² + 0.35² + 0.85² ) : 10 ≈ 1.15
Answer: C ) 1.15
4 0
2 years ago
Read 2 more answers
A small island is 4 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a
True [87]

Answer:

a) t(x)  = [ √ (4)² + (x)²]/ 4    +   7/5  - x/5

b) x = 0,97 miles

c) t (min)  = 1,24 hours

Step-by-step explanation: See Annex

Figure in annex shows a clear description of the situation

Let  x be distance in miles between point P and where boat lands

A woman has to row  a distance L

L = √ (4)² + (x)²

and the part to get to the town (which she has to walk)

d = ( 7 -  x)

But we are required to give time as a function of x

distance   =  speed * time     ⇒   t  = distance / speed

Therefore

t(x)  = [ √ (4)² + (x)²]/ 4   +   ( 7  -  x  ) / 5

t(x)  = [ √ (4)² + (x)²]/ 4    +   7/5  - x/5

Taking derivatives both sides of the equation

t¨(x)   = ( 2x)*4 / 16√ (4)² + (x)²]   -  5/25  

t¨(x)   = x/  2√ (4)² + (x)²]  - 1/5

t¨(x)   = 0      x/  2√ (4)² + (x)²]  - 1/5   =  0

[ 5 x  -  2√ (4)² + (x)²]  =  0       ⇒   5x    =  2√ (4)² + (x)²]   or

   25 x² =  4  (  4 +   x²)

   25 x² = 16  +   8x²

  17x²   =   16

  x²  =   16/17      

   x²   =  0,941

  x = 0,97 miles  

And the distance walking to get to town

d =  7  -  x       d =   7  -  0,97

d  = 6,03 miles

The least travel time  is   t(x)  = [ √ (4)² + (x)²]/ 4    +   7/5  - x/5  

t (min)  =  √ 16 +  0,94) /4   +  1,4  - 0,97/5

t (min)  = 1,03  +  1,4  - 0,194

t (min)  = 1,24 hours

7 0
1 year ago
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check
olasank [31]
We have the expression:
3x(x-12x) + 3x^2 - 2(x-2)^2

First, we will expand the power 2 bracket as follows:
3x(x-12x) + 3x^2 - 2(x^2 - 4x +4)

Then, we will get rid of the brackets as follows:
3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8

Now, we will gather the like terms and add them as follows:
-32 x^2 + 8x - 8

We can take the 8 as a common factor:
8 ( -4x^2 + x -1)
3 0
1 year ago
Due to fire laws, no more than 720 people may attend a performance at metro auditorium. The balcony holds 120 people. There are
valentina_108 [34]
So what's the question?
7 0
1 year ago
The yard behind the Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet
QveST [7]
Let the width of the yard  be w.
Since the length is 18feet longer, l = w + 18

Perimeter for rectangle =  2(l + w)

        2(l + w) = 72
      
        2(w+18 + w) = 72      Divide 2 on both sides

           (w + 18 + w) = 36

               2w + 18 =   36

                       2w = 36 - 18

                            2w = 18       Divide 2 on both sides

                                w = 18/2

                                   w = 9

Recall, length l = w + 18, l = 9 + 18 = 27

Hence width, w = 9, length,l = 27

Area of rectangle = l × w = 27 × 9 =   243

Area of rectangular yard =  243 square feet.           
8 0
2 years ago
Other questions:
  • The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. T
    7·2 answers
  • The probability that a vehicle entering the Luray
    15·1 answer
  • Find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ.
    15·1 answer
  • What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45? 62.834 times 0.45 gi
    15·1 answer
  • What common angle do ACE and ACD share?
    13·2 answers
  • Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,
    10·2 answers
  • Over the weekend Pop's Pizza Shack sold 53 pepperoni, 43 sausage, 61 cheese, 42 mushroom, 48 hamburger and 41 combination pizzas
    8·2 answers
  • There are 188 people on the trip and their total cost for the bike tour was $5040. There were twelve more adults than seniors on
    5·1 answer
  • Mark drew a regular octagon with side lengths of 10 inches. He divided the octagon into two identical trapezoids and a rectangle
    15·1 answer
  • A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the studen
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!