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
algol [13]
3 years ago
8

B) David and Andrew are traveling to a Mathematics conference. David travels 110 miles in the same time that Andrew travels 140

miles. Andrew travels 15 miles per hour faster than David. Find the average rate of each person.
Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0

Answer:

David's average speed is 55 mph and Andrew's average speed is 70 mph

Step-by-step explanation:

Let David's speed be s.

Average speed is given as:

speed = distance / time

They both spent the same time, t.

David's speed is:

s = 110 / t

=> t = 110 / s

Andrew travels 15 mph faster than David.

Andrew's speed is:

(15 + s) = 140 / t

=> t = 140 / (15 + s)

Therefore, since they spent the same time:

110 / s = 140 / (15 + s)

Cross multiply:

110(15 + s) = 140s

1650 + 110s = 140s

1650 = 140s - 110s

30s = 1650

s = 1650 / 30

s = 55 mph

Andrew's speed is:

15 + 55 = 70 mph

Therefore, David's average speed is 55 mph and Andrew's average speed is 70 mph.

You might be interested in
Please Help :)<br> Set up the equation and find the length of BC.
Kamila [148]

Answer:

BC= 29

Step-by-step explanation:

If the total, AC, is 54 and AB is 25 subtract those two to find the last part, BC.

7 0
3 years ago
Casper has some whipping cream that is 18%, percent butterfat, and some milk that is %4, percent butterfat. He wants to make a 5
steposvetlana [31]

L represent Option A. The correct answer is that the mixture has the intended volume and has more than the intended percent of butterfat.

<h3>What is the  graph about?</h3>

Note that:

The graph shows that the point L is one that is below the blue line of the graph.

Therefore, x + y = 500

Also one need to see that:

0.18x + 0.04y = 500(0.12)

Since that cream is 18% butterfat, milk is 4% butterfat, so L is composed of of 350 ml of cream and 100 ml of milk.

Hence the total amount of butterfat for L is:

0.18 x 350 + 0.04 x 100

= 67ml.

Next, one has to calculate 12% of the volume of L :

12% of 450:

0.12 x 450 =  54ml

So, because 67 is bigger than 54, this implies that the volume of butter fat in L is more than 12 %.

Read more on mixture here:

brainly.com/question/24869423

#SPJ1

4 0
2 years ago
If the diameter of a circle is 20 cm, what is the area?
katovenus [111]

Answer:

A = 100 pi cm^2

Step-by-step explanation:

A = pi(r^2)

A = pi(10^2)

A = pi(100)

A = 314.16 '

Convert to pi units.

314.16 ---> 100pi cm^2

3 0
3 years ago
Read 2 more answers
4x &lt; 16 or 12x &gt; 144
Leviafan [203]
4x < 16\ or\ 12x > 144\\\\x < 16:4\ or\ x > 144:12\\\\x < 4\ or\ x > 12\\\\x\in(-\infty;\ 4)\ \cup\ (12;\ \infty)
4 0
3 years ago
A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle. Explain your answer.
Ostrovityanka [42]

Answer: 15, 3 and 6

Step-by-step explanation: The other leg is 2 × 3 = 6

5 0
3 years ago
Other questions:
  • Whats the reciprocal<br> of 23
    13·2 answers
  • What does 3.35 equal to
    12·2 answers
  • The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in m
    9·2 answers
  • A faucet is leaking at a rate of 4.2 milliliter per minute. How many gallons of water does the faucet leak per day? Use 1 L = 0.
    5·1 answer
  • This is my home work plese help
    9·2 answers
  • Please help with any of this Im stuck and having trouble with pre calc is it basic triogmetric identities using quotient and rec
    8·2 answers
  • One number is seven less than two times another. If their sum is increased by two, the result is one. Find the numbers.
    6·1 answer
  • I need help with this​
    11·1 answer
  • If f(x)=3x-1 and g(x)=x+5, find (f o g)(x) and (g o f)(x)<br><br> (f o g)(x)=<br><br> (g o f)(x)
    11·1 answer
  • Helpppppp show your work
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!