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
Leni [432]
3 years ago
14

A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo

re they can make their first release. Jordan can develop 10 lessons and 5 tests in a day; Marco can develop 5 lessons and 10 tests in a day; Junyi can develop 5 lessons and 8 tests in a day.
(a) Write a system of equations that can be used to determine how long each team member must work to develop exactly 300 lessons and 300 tests.
(b) Find the general solution to the system from (a).
(c) Find the specific solutions if
(i) Junyi gets sick, so can not work;
(ii) Jordan gets a part-time job, and so can only work 10 hours.
Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

a)

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) 10X+5X+5X=300 => 20X = 300 => X = 15 days for the lessons

b) 5X+10X+8X = 300 => 23X = 300 => X = 13.04 days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) 10X+5X=300 => 15X = 300 => X = 20 days for the lessons

b) 5X+10X = 300 => 15X = 300 => X = 20 days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) 10(10/24)+5X+5X= 300 => X = 29.58 days for the lessons

b) 5(10/24)+10X+8X = 300 => X = 16.51 days for the tests

so at the end to complete both tasks they need 29.58 days

You might be interested in
In most places, it is only possible to see 2,000 stars in the nighttime sky due to light pollution. This is 4/15 as many stars a
emmainna [20.7K]

Let the no. of stars one can expect to see at Bryce Canyon be x.

Given that : No. of stars visible in the night sky = 2000

Also, given that, it is 4/15 of x.

Now, we have

\frac{4}{15}x = 2000\\\\x= \frac{2000 * 15}{4} = 7500

∴  You can expect to see 7,500 stars at Bryce Canyon.

5 0
3 years ago
The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is:
masya89 [10]
The answer is y=(1/20)x^2
7 0
3 years ago
A box of 8 waffles weigh 26.9 ounces.The box weighs 4.5 ounces. What is the weight of each waffle?
Phoenix [80]
Each waffle weighs 5.97 ounces hope this helps!
8 0
3 years ago
⚠️ Help I don’t understand this one and it’s my last one !! ⚠️
Kruka [31]

Answer:

x=4

Step-by-step explanation:

no because x=4 and you can't have multiple answerd

7 0
2 years ago
Sarah’s mom took 3 hours to clean, but when Sarah helped, it took them 2 hours to clean. How many hours will it take Sarah to cl
Aleonysh [2.5K]

Answer:

<em>It takes them 1.875 hours.</em>

<em></em>

<em>Step-by-step explanation:</em>

<em></em>

<em>Here, the job is cleaning the house.</em>

<em></em>

<em>Mom does 1 job in 3 hours.</em>

<em></em>

<em>In 1 hour, mom does 1/3 of the job.</em>

<em></em>

<em>Dad does 1 job in 5 hours.</em>

<em></em>

<em>In 1 hour, dad does 1/5 of the job.</em>

<em></em>

<em>Mom and dad working together do the job in x hours.</em>

<em></em>

<em>In 1 hour, mom and dad together do 1/x of the job.</em>

<em></em>

<em>1/3 + 1/5 = 1/x</em>

<em></em>

<em>5/15 + 3/15 = 1/x</em>

<em></em>

<em>8/15 = 1/x</em>

<em></em>

<em>8x = 15</em>

<em></em>

<em>x = 15/8 = 1.875</em>

<em></em>

<em>Answer: It takes them 1.875 hours.</em>

your welcome

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the measure of AC⏜ ?
    15·1 answer
  • Shannon drove for 540 minutes. If she traveled 65 miles per hour, how many total miles did she travel?
    10·2 answers
  • What's the root of 17 simplified?
    14·2 answers
  • On the packaging for a triangular sail, the edge measurements for the sail are listed as
    13·2 answers
  • A line that includes the points (9,
    6·1 answer
  • PLEASE HELP!!!<br><br> CHOOSE THE SOLUTION TO FOLLOWING INEQUALITY (in picture)
    9·1 answer
  • The graph for the equation y = 2 x minus 2 is shown below. On a coordinate plane, a line goes through points (0, negative 2) and
    13·2 answers
  • 62% of what number is 84
    6·2 answers
  • A line goes through the points (0, -5) and (-3, -3). Find the slope, and then use the point that is the y-intercept to write the
    9·1 answer
  • Evaluate - 4/8 ./. 8 2/3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!