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
kati45 [8]
3 years ago
5

Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

0 hours to complete the task. If Group B were to do it alone it would take them 15 hours. The groups decided to work together. Group B took a break for 1 hour and 40 minutes. Group A ended up making 300 more flowers than Group B. HOW MANY FLOWERS ARE THERE ALTOGETHER?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

Answer:

\dfrac{6750}{7}

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make \dfrac{x}{10} flowers in an hour.  If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make \dfrac{x}{15} flowers in an hour.

The groups decided to work together. They can make \dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6} together in an hour and it takes them \dfrac{x}{\frac{x}{6}}=6 hours. Group B took a break for 1 hour and 40 minutes (1\dfrac{2}{3} hour), then Group B works

6-1\dfrac{2}{3}=4\dfrac{1}{3} hours.

Thus,

\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.

You might be interested in
Describe the event as impossible, unlikely, equally likely, likely, or certain.
ira [324]

Answer:

likely

Step-by-step explanation:

100% is certain, likely is around 75%, equally is around 50%, and unlikely is around 25%

3 0
3 years ago
Read 2 more answers
It’s number 5 please help
Oksanka [162]
8x+100 with x representing the number of classes attended. For Ms.Wiggins, the equation would be 8(18)+100. You would multiple 8 x 18 getting 144+100. You add 144+100 to get $244 for Ms.Wiggins.
6 0
3 years ago
Which step is incorrect? Look at picture
asambeis [7]

Answer: step 4 is incorrect

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A bowl contained 49.7 grams of salt. Then, Charlie poured in another 41.14 grams. How much salt does the bowl contain now?
professor190 [17]

Answer:

90.84

Step-by-step explanation:

49.7+41.14= 90.84

6 0
3 years ago
A cannon ball has been catapulted through the air and follows the path created by the
aksik [14]

Answer:

the cannon ball's maximum height is 21 meters rounded to the nearest whole number

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • How to divide fractions
    12·2 answers
  • To the nearest ten thousand,the population of 620,000.
    14·1 answer
  • In triangle ABC, ∠A and ∠B are complementary, where cos A = 0.24. What is the measure, to the nearest degree of, ∠B?
    14·1 answer
  • How many groups does it take to equally distribute 2 5/8?
    14·1 answer
  • Sarah Worker took up golf. She played 36 holes a week for 10 weeks. Use of the course cost $12.00 per round of 18 holes. She pai
    14·2 answers
  • A CEO complains that the winners of his ""rookie junior executive of the year"" award often turn out to have less impressive per
    5·1 answer
  • Find the measure of the indicated angle to the nearest degree.
    10·2 answers
  • Find an explicit formula for g(n)?​
    12·1 answer
  • A.10D Simplify the expression<br> (x - 3)2
    12·2 answers
  • Can anyone solve this
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!