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
user100 [1]
3 years ago
10

there are four semi trailer trucks parked in a line at the rest stop after the first truck each truck in the line weighs 2 tons

more than the truck before it the trucks weigh a total of 32 tons how many pounds does each truck weigh
Mathematics
1 answer:
alexira [117]3 years ago
3 0
Call the weght of the first truck "w_{1}". We then know that the truck after that is 2 tons more, and the next and the next. i.e:
w_{2} = w_{1} + 2
w_{3} = (w_{2} + 2) = (w_{1}+4)
w_{4} = (w_{3} + 2) = (w_{1}+6)

We also know that total is 32 tons. 
w_{total} = 32 = (w_{1}) + (w_{2}) + (w_{3}) + (w_{4})
32 = (w_{1})+(w_{1}+2)+(w_{1}+4)+(w_{1}+6)
32= 4(w_{1})+12
20=4(w_{1})
w_{1} = 5 tons

Therefore the trukcs weigh 5,7,9 and 11 tons for a total of 32 tons.

Converting to pounds, the trucks weigh 10,000, 14,0000, 18,0000 and 22,000 pounds. 
You might be interested in
The air temperature is -6 degrees celsius every hour for several hours. The air temperature after x hours is represented by the
andreyandreev [35.5K]

Answer:

x-intercept is (2,0)  [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]

y-intercept is (0, -6)  [The y-intercept represents the temperature at sunrise, -6°C]

Step-by-step explanation:

<u>Complete Question:</u>

<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>

<em />

  • The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
  • The y-intercept is the y-axis cutting point found by setting x = 0

Lets find x-intercept first:

f(x) = 3x - 6

0 = 3x - 6

3x = 6

x = 6/3

x = 2

x-intercept is (2,0)

Now, lets find y-intercept:

f(x) = 3x - 6

f(x) = 3(0) - 6

f(x) = -6

y-intercept is (0, -6)

The x-intercept means that it takes 2 hours for the temperature to reach 0°C

The y-intercept represents the temperature at sunrise, -6°C

3 0
3 years ago
I'll give brainiest , 5 stares help​
matrenka [14]
3 the answer is 3......................
5 0
3 years ago
Solve the inequality for w . W-9 &gt; 23Simplify your answer as much as possible.
lord [1]
The answer is W>33 this is as simplified at it can be
7 0
3 years ago
Find the approximate distance between (-5, 8) and (10, -7). Round your answer to two decimal places.
nadya68 [22]
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,8)(10,-7)

d = sqrt (10 - (-5)^2 + (-7 - 8)^2
d = sqrt (10 + 5)^2 + (- 15^2)
d = sqrt (15^2) + (-15^2)
d = sqrt 225 + 225
d = sqrt 450
d = 21.21
5 0
4 years ago
Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula
jasenka [17]

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

\frac{5}{5 + 2 + x} = \frac{5}{7 + x}

Both fractions are equal, so:

\frac{5}{7 + x} = \frac{1}{2}

Applying cross multiplication:

7 + x = 10

x = 10 - 7

x = 3

The value of x is 3.

5 0
3 years ago
Other questions:
  • Find the distance represented by 2.6 in. if the scale 1 in. = 50 mi. is used.
    11·1 answer
  • George wrote an integer. The opposite of George's integer is - 53. Which of these statements about George's integer must be true
    9·1 answer
  • What best describes index fossils
    6·1 answer
  • Which fraction has the greatest value?<br> 1/15<br> 1/20<br> 1/10
    9·2 answers
  • How do you solve the problem 3/4 of 28
    13·2 answers
  • An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles al
    8·1 answer
  • The total of 24 and a number x
    7·1 answer
  • What is the answer i need help?
    7·1 answer
  • Please help me answer this:) <br><br> Will give you brainlst ^
    6·1 answer
  • 1. Create a polynomial function, f(x), with the following characteristics.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!