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
emmainna [20.7K]
3 years ago
15

Two cyclists start at the same point and travel in opposite directions. One cyclist travels

Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0
Distance = rate times time.

Let the first cyclist's rate be r1 and the 2nd cyclist's rate be r2.

Let r2 = r1 + 10   (km per hour).

The total distance between them after 3 hours is 174 km; using the distance= rate times time formula, we also get:

r1(3 hrs) + r2(3 hrs) = 174 km
Then
r1(3 hrs) + (r1+10)(3hrs) = 174 km

Then 3r1 + 3r1 + 30 = 174 

6r1 = 144, and r1 = 24 km/hr.  Then r2 = (24 + 10) km/hr = 34 km/hr.


You might be interested in
Which expression could represent a rational number?<br> A. -b<br> B. a + b<br> C. ab<br> D. b^2
leva [86]

The answer for the following question is A) -b

4 0
2 years ago
At a local store, kelly and martin bought some notebooks and pencils. Kelly bought 4 notebooks and 25 pencils for 16.71. Martin
Nat2105 [25]
Let n = cost of 1 notebook
Let p = cost of 1 pencil

Then,

3n + 4p = 8.5
5n + 8p = 14.5

You can solve for one variable in terms of the other and then substitute into the remaining equation.

3n + 4p = 8.5
+ 5n + 8p = 14.5

Multiply the top equation by -2 so that the p-containing terms cancel each other out:

-2(3n + 4p = 8.5)
+ 5n + 8p = 14.5
-n + 0 = -2.5

So after dividing both sides by -1, we see that n = $2.5. Plugging into the first equation gives p = $0.25.


3n + 4p = 8.5
5n + 8p = 14.5
6 0
3 years ago
The volume of the rectangular prism is 60x^3 + 145x^2 + 70x. Factor to find the possible expressions for length, width and heigh
tester [92]
The volume of the rectangular prism:
V=length\cdot width\cdot height=lwh

60x^3 + 145x^2 + 70x=5x(12x^2+29x+14)\\\\=5x(12x^2+21x+8x+14)=5x[3x(4x+7)+2(4x+7)]\\\\=5x(4x+7)(3x+2)\\\\Answer:\\length=5x\\width=4x+7\\height=3x+2
4 0
3 years ago
n=400 people under the age of 25 was asked whether they check social media sites right after they wake up. 42% check social medi
Aliun [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

P = 42/100 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

n = 400

z = (0.42 - 0.5)/√(0.5 × 0.5)/400 = - 3.2

Recall, population proportion, p = 0.5

We want the area to the left of 0.5 since the alternative hypothesis is lesser than 0.5. Therefore, from the normal distribution table, the probability of getting a proportion < 0.5 is 0.00069

So p value = 0.00069

Since alpha, 0.05 > than the p value, 0.00069, then we would reject the null hypothesis.

Therefore, there is significant evidence to conclude that that less than 50% of people under the age of 25 check social media sites right after they wake up.

7 0
3 years ago
A man bought 42 stamps, some 13¢ and some 18¢. How many of each kind did he buy if the cost was $6.66?
Andrews [41]

The system of equation which represent the scenario is;

x + y = 42

x + y = 420.13x + 0.18y = 6.66

<h3>Simultaneous equation</h3>

let

  • number of 13 cent stamps = x
  • number of 18 cent stamps = y
  • Total cost of the stamps = $6.66
  • Total number of stamps = 42

x + y = 42

x + y = 420.13x + 0.18y = 6.66

Therefore, the equation which represent the problem is;

x + y = 42

0.13x + 0.18y = 6.66

Learn more about simultaneous equation:

brainly.com/question/16863577

#SPJ1

3 0
2 years ago
Other questions:
  • Find the product. (5/6)(5/8)(3/2)
    6·1 answer
  • Please please help mark as branliest
    15·1 answer
  • On the way to school, a student rides his bike to the bus stop. He then waits a few minutes for the bus to come and rides the bu
    9·2 answers
  • An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (
    10·1 answer
  • A line passes through the point (-8,8) and has a slope of -5/4
    6·1 answer
  • Jonathon had 4 4/ 5  pounds of ground beef. He used some of the ground beef to make hamburgers. He had 1 1/ 5  pounds of ground
    10·1 answer
  • What are the coordinates of the yellow square ​
    7·1 answer
  • Help me!!!!!!! What are the inequalities number 7-8
    7·1 answer
  • Factor completely 5x^2 - 13x - 6.
    14·2 answers
  • Which Figure is a rotation of the Blue Figure?<br> A<br> B<br> C<br> D
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!