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
svlad2 [7]
2 years ago
11

Complete the following problems. Please show your work.

Mathematics
2 answers:
cupoosta [38]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

(1)

Using the relationship

distance (d) = speed (s) × time (t)

The freight train leaves the station 1 hour earlier than the passenger train, so

d = 40(t + 1) ← Freight train

d = 50t ← Passenger train

We require to find when they are at the same distance from the station, then equating the 2 equations

50t = 40(t + 1) ← distribute

50t = 40t + 40 ( subtract 40t from both sides )

10t = 40 ( divide both sides by 10 )

t = 4

The passenger train will overtake the freight train after 4 hours

-------------------------------------------------------------------------------------

(2)

let l represent length, then width = l - 32

perimeter (P) = 2l + 2w = 290, that is

2l + 2(l - 32) = 290 ← distribute and simplify left side

2l + 2l - 64 = 290

4l - 64 = 290 ( add 64 to both sides )

4l = 354 ( divide both sides by 4 )

l = 88.5 and w = 88.5 - 32 = 56.5

Then dimensions are 88.5 yards by 56.5 yards

----------------------------------------------------------------------------------

(3)

Plan A : 100 + 15n

Plan B : 25n

When is Plan A better than Plan B , that is

100 + 15n > 25n ( subtract 25n from both sides )

100 - 10n > 0 ( subtract 100 from both sides )

- 10n > - 100

Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.

n < 10

Plan A is better when number of hours (n) is less than 10

BaLLatris [955]2 years ago
4 0

Answer:

3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?

You might be interested in
(7y - 2n) - (5y + 3a) =<br><br> Pls help
Sati [7]

Answer:

2y-2n-3a

Step-by-step explanation:

(7y-2n) - (5y+3a)

7y-2n-5y-3a

2y-2n-3a

4 0
3 years ago
Read 2 more answers
You are going to buy doughnuts for your coworkers. You buy 2 boxes of glazed doughnuts for $3.99 each, 3 boxes of chocolate-cove
Georgia [21]
2 x 3.99 = 7.98
3 x 4.49 = 13.47
1 x 4.99 = 4.99
Total:  26.44

50.00 - 26.44 = 23.56
6 0
3 years ago
Read 2 more answers
I need help i don’t understand
ch4aika [34]

9514 1404 393

Answer:

  A) J(-3, 1), ...

Step-by-step explanation:

All of the answer choices list point J' first, so it is convenient to use that as an example.

Point J on the given graph has coordinates (x, y) = (3, 2). The x-coordinate is 3 because the point is 3 units to the right of the y-axis.

The problem statement tells you to translate this point 6 units to the left. When you move it 6 units left, it will move left 3 units to the y-axis, then left 3 more units to have an x-coordinate of 3 -6 = -3. That is, each unit of movement to the left subtracts 1 from the x-coordinate. The x-coordinate of J is 3, so the final point J' will have an x-coordinate of 3 - 6 = -3.

At this point, you have enough information to make the correct answer selection. Only one answer choice has the x-coordinate of J' as -3.

__

The other coordinates are translated using similar logic. The y-coordinate of J is 2. Translating it down 1 unit subtracts 1 from the y-coordinate to make it be 2 -1 = 1. Then the coordinates of J' are (-3, 1).

We write the translation rule as ...

  (x, y) ⇒ (x -6, y -1)

This means the coordinates of each translated point have 6 subtracted from the original x-coordinate, and 1 subtracted from the original y-coordinate. The other coordinates of the figure are ...

  I(2, 4) ⇒ I'(2 -6, 4 -1) = I'(-4, 3)

  H(5, 5) ⇒ H'(5 -6, 5 -1) = H'(-1, 4)

  G(4, 1) ⇒ G'(4 -6, 1 -1) = G'(-2, 0)

3 0
3 years ago
Can I get help please
WITCHER [35]

Answer:

sorry you cant get help but you can help me!

GO TO MY PAGE

Step-by-step explanation:

8 0
3 years ago
Here are two steps from the derivation of the quadratic formula<br> second step?<br> Help bro
Andrews [41]
I think it might be C
6 0
3 years ago
Other questions:
  • (-5,-3), parallel to y=6/5x+4
    14·1 answer
  • What is two plus two plus two plus two??????
    13·2 answers
  • The height of one cottage will be 3 meters, and the volume will be 108 cubic meters. What tool can help you find different dimen
    7·1 answer
  • Solve this problem in your notebook using all four steps. Harvey is 3 times as old as Jane. The sum of their ages is 48 years. F
    14·1 answer
  • Free usa test prep login information
    7·1 answer
  • 1. What values of a, b, and c would you use in the quadratic formula for the following equation?
    5·1 answer
  • Бу^5 + 4 y^4 - 3у^3-1 by (3 y^2 - y+1​
    9·1 answer
  • Solve 14b^2 – 2 =–3b.​
    14·1 answer
  • What is the answer please help if you put a link I will report
    13·2 answers
  • Determine the intercepts of the line.<br> y-intercept:<br> I-intercept:<br> (
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!