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
Bond [772]
4 years ago
9

Mustafa, Heloise, and Gia have written more than a combined total of 222222 articles for the school newspaper. Heloise has writt

en \dfrac{1}{4}
4



1



​ start fraction, 1, divided by, 4, end fraction as many articles as Mustafa has. Gia has written \dfrac{3}{2}



2



3



​ start fraction, 3, divided by, 2, end fraction as many articles as Mustafa has.



Write an inequality to determine the number of articles, mmm, Mustafa could have written for the school newspaper.



What is the solution set of the inequality?
Mathematics
1 answer:
Anvisha [2.4K]4 years ago
3 0

Answer:

  • m + m/4 + 3m/2 > 22
  • m > 8 . . . . m restricted to multiples of 4, perhaps

Step-by-step explanation:

Let m represent the number of articles Mustafa has written. Then the total number of articles written must satisfy the inequality ...

  m +m/4 +3m/2 > 22

This has solution ...

  (11/4)m > 22

   m > (4/11)22

   m > 8 . . . . . . . . the solution to the inequality

If all the numbers are integers, and the ratios are exact, then we must have m be a multiple of 4 (that is, 4 times the number of articles Heloise wrote).

The solution set will be ...

  m ∈ {12, 16, 20, 24, ...} (multiples of 4 greater than 8)

You might be interested in
How do you write 6/72 in simplest form
Monica [59]
6*12=72 thus you can reduce the fraction to-

1/12
5 0
3 years ago
What is the measure of the missing angle?
Luda [366]

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19

8 0
3 years ago
Read 2 more answers
The vertices of an isosceles triangle are A(-4, 0), B(-10, -2) and C(-6, -6).
rosijanka [135]
Y = - x + 4 that’s the answer hope it helps
6 0
2 years ago
The perimeter of a stop sign is 96
Fittoniya [83]

Answer:

x = 44

Step-by-step explanation:

4+4+2x+2x= 96

-(add like terms)

8+4x=96

-(subtract 8 from both sides)

4x=88

-(divide by 4 on both sides to get you x alone)

x=44

4 0
3 years ago
Read 2 more answers
A running group has 38 members. Each group member completed half marathon (13.1 miles). The average time to complete is 110 minu
Vikki [24]

Answer:

They took 4,180 minutes total to complete the course.

Step-by-step explanation:

The average time is given by the sum of each individual time of the members divided by the number of members on the group. So if we want to know the total time they took to complete the course we need to take the average and multiply it by the number of people in the group. So we have:

total time = average*number of members = 110*38 = 4180 minutes

They took 4,180 minutes total to complete the course.

8 0
3 years ago
Other questions:
  • What is 1/2 X 3 Plus 1/2 Plus 1/2 Plus 1 ?
    5·2 answers
  • Change 8.75 to a fraction
    8·2 answers
  • A point undergoes two transformations. The x-coordinate's sign changes and the y-coordinate increases. What were the transformat
    15·2 answers
  • Taliyah has 174 coins in her collection of dimes and nickels. The total value of the collection is $15.20. How many dimes does s
    11·1 answer
  • Bianca buys 4 band shirts and 3 pairs of pants for $159, and Gianna buys 3 of the same shirts and 2 of the same pairs of pants f
    14·1 answer
  • A swim pass costs $30 for the first month. Each month after that, the cost is $20 per month. Riley wants to swim for 12 months.
    7·1 answer
  • Would appreciate some help:,): solve by elimination please show steps<br> 4x-5y=-19<br> -x-2y=8
    13·1 answer
  • Robert is buying tickets to a basketball game. Adult tickets cost $4 more than student tickets. He bought 5 adult tickets and 7
    14·1 answer
  • three miners esch dup up 3 diamonds. the weight of the diamonds were 5,13,12,4,9,8,15,210, and 6 ounces of a piece. each of jack
    5·1 answer
  • Mathew finds the deepest part of the pond to be 185 meters
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!