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
tankabanditka [31]
3 years ago
11

Santos went on a bike ride of 90 miles. He realized that if he had gone 24 mph faster, he would have

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0
<h3>Answer:  6 mph</h3>

========================================

Explanation:

distance = rate*time

90 = r*t

where r is the slower speed and t is the time it takes when going that slower speed.

If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is

90 = (r+24)(t-12)

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

We can solve the first equation for r to get r = 90/t

Then plug this into the second equation and do a bit of algebra

90 = (r+24)(t-12)

90 = (90/t+24)*(t-12)

90 = 90 - 1080/t + 24t - 288

90t = 90t - 1080 + 24t^2 - 288t

0 = 90t - 1080 + 24t^2 - 288t-90t

0 = 24t^2 - 288t - 1080

24t^2 - 288t - 1080 = 0

If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.

We'll ignore the negative t value. It makes no sense to have a negative time.

So we focus on t = 15 as the only solution.

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

If t = 15, then,

r = 90/t

r = 90/15

r = 6

Santos rode his bike at <u>6 mph</u> at first. Going this speed means he takes 15 hours.

If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.

You might be interested in
A 2 pound bag of wildflower send covers 4 square feet how many of seed it takes to cover 1 square foot
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

2 lb bag to 4 sq ft = 1 lb bag to x sq ft

2 / 4 = 1 / x

cross multiply because this is a proportion

(2)(x) = (1)(4)

2x = 4

x = 4/2

x = 2 <==== so a 1 lb bag covers 2 sq ft

7 0
3 years ago
savannah works as a sales rep and receives $23.80 for every $140 she sells. what is her rate of commission?
ANTONII [103]

Answer:

23.80/140 = 0.17 = 17%

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
QUIZ:
Reika [66]

Answer:

idk

Step-by-step explanation:

i have no clue

6 0
3 years ago
How do you eliminate the fractions on this to solve by elimination ????????
Alja [10]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The utility industry had 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year f
e-lub [12.9K]

Answer:

Utility's percent Change from 2010 to 2020 = 7%

Step-by-step explanation:

Jobs available at the utility industry in 2010= 428.5 thousand

Average rate of decline = 3 thousand

Years between 2010 and 2020

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

Total change in jobs:

There are 10 years between 2010 and 2020

Jobs decline at an average of 3 thousand per year

Total change in jobs= 10 years × 3 thousand

= 30 thousand

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

= 30 thousand / 428.5 thousand × 100

= 0.07 × 100

= 7%

Utility's percent Change from 2010 to 2020 = 7%

4 0
3 years ago
Other questions:
  • Write each expression in its radical form.
    7·1 answer
  • Which of the following statements are Ture...?
    10·1 answer
  • What is the value of x to the nearest tenth ? <br><br> A.) 4.7<br> B.) 21.4<br> C.) 0.5
    11·2 answers
  • Please help and show work!!! Find the line perpendicular to y=-1/4x+7 and goes through the point (1,1).
    13·1 answer
  • Solve for ttt. 2(t+1) = 10
    13·1 answer
  • A set of n = 5 pairs of x and y values has ssx = 10, ssy = 40 and sp = 10. for these data, the pearson correlation is
    8·1 answer
  • Which of the expressions below will have a remainder? Select all that apply.
    15·2 answers
  • Need help id appreciate it
    6·1 answer
  • Y=8x+3y=8x+3y, equals, 8, x, plus, 3
    8·2 answers
  • Rosa throws a ball. The equation d = −t^2 + 4t + 5 represents the path taken by Rosa's ball where d is the height of the ball (i
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!