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
nexus9112 [7]
2 years ago
9

Two buses leave towns 1015 miles apart at the same time and travel toward each other. One bus travels 11 miles/hr slower than th

e other. If they meet in 7 hours, what is the rate of each bus?
Mathematics
1 answer:
kiruha [24]2 years ago
3 0

Answer:

Step-by-step explanation:

Bus One

speed = x

t = 7 hours

d = ?

Bus two

speed = x + 11

time = 7 hours

d1 = 1015 miles - d

Equations

d = s * t

Bus 1 + bus 2 = 1015

Solution

x * 7 + (x + 11)*7 = 1015

7x + 7x + 11*7 = 1015

14x + 77  =1015

14x + 77 - 77 = 1015 -  77

14x = 938

14x/14 = 938/14

x = 67 miles / hour

x + 11 = 78 miles / hour

You might be interested in
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,
ololo11 [35]

Answer:

From the graph attached, we know that \angle 1 \cong \angle 5 by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like \angle 1 and \angle 5.

We also know that, by definition of linear pair postulate, \angle 3 and \angle 1 are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that \angle 3 and \angle 1 together are 180°, because they are on a straight angle. That is, m \angle 3 + m \angle 1 = 180\°

If we substitute \angle 5 for \angle 1, we have m \angle 3 + m \angle 5 = 180\°, which means that \angle 3 and \angle 5 are also supplementary by definition.

4 0
3 years ago
Read 2 more answers
(HELP PLEASE) graph and shade the solution of the system of enequalities below (HELP PLEASE!)
MAVERICK [17]
A b and 3 is the correct answer
8 0
3 years ago
HELP PLEASE<br> What is the following product?
Naya [18.7K]
The answer would be: 

6 0
3 years ago
Read 2 more answers
A basic cellular phone plan costs $4 per month for 70 calling minutes. Additional time costs $0.10 per minute. The formula C= 4+
Harrizon [31]

Answer:

For a monthly cost of at least $7 and at most $8, you can have between 100 and 110 calling minutes.

Step-by-step explanation:

The problem states that the monthly cost of a celular plan is modeled by the following function:

C(x) = 4 + 0.10(x-70)

In which C(x) is the monthly cost and x is the number of calling minutes.

How many calling minutes are needed for a monthly cost of at least $7?

This can be solved by the following inequality:

C(x) \geq 7

4 + 0.10(x - 70) \geq 7

4 + 0.10x - 7 \geq 7

0.10x \geq 10

x \geq \frac{10}{0.1}

x \geq 100

For a monthly cost of at least $7, you need to have at least 100 calling minutes.

How many calling minutes are needed for a monthly cost of at most 8:

C(x) \leq 8

4 + 0.10(x - 70) \leq 8

4 + 0.10x - 7 \leq 8

0.10x \leq 11

x \leq \frac{11}{0.1}

x \leq 110

For a monthly cost of at most $8, you need to have at most 110 calling minutes.

For a monthly cost of at least $7 and at most $8, you can have between 100 and 110 calling minutes.

8 0
3 years ago
Is the following graph<br> an example of a linear<br> function?<br> Yes<br> No
oksian1 [2.3K]

Answer:

no

Step-by-step explanation:

A linear equation is a straight line.

6 0
3 years ago
Other questions:
  • What's the answer? please help
    14·1 answer
  • Find the total area of the figure to the right
    11·1 answer
  • Cam someone help with these 2 plsssss
    5·1 answer
  • research to find foods that are made using microorganisms. Choose one such food. Write a paragraph explaining how microorganisms
    7·1 answer
  • Solve the system with substitution<br> 72 +10y = 36<br> y = 2x + 9
    7·1 answer
  • Pls help urgently extra points and mark w
    7·2 answers
  • Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 ​ of his daily go
    12·1 answer
  • Which list shows the numbers in order from least to greatest?
    10·2 answers
  • Find the value of 5 root upto three decimal places​
    5·2 answers
  • Here is a graph for one of the equations in the system of two equations.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!