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
Crank
3 years ago
8

A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n

umber of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.
Mathematics
1 answer:
Helga [31]3 years ago
8 0
In equation, let x be the number of male students
a be the number of adults
y be the number of female students.
x= 7a+1
a= x/7 -1
y= x/2 or (7a + 1)/ 2

a + b = 82, let b be the number of students.
a + (x + y) = 82
a + [7a+1 + (7a+1)/2] = 82
a + [{2(7a+1) + 7a+1} / 2] = 82
a + [(14a +2 + 7a +1) / 2] = 82
a + [(21a + 3) / 2] = 82
(2a+ 21a + 3) / 2 = 82
(23a + 3) / 2 = 82
23a + 3 = 164
23a = 164 -3 
23a = 161
a = 7

x = 7(7) +1, 49+1 = 50 male students
y=x/2, 50/2, 25 female students

50(male students) + 25(female students)  + 7 (adults) = 82





You might be interested in
Martin has 28 basketball ball cards. Martin has 12 times as many basketball cards as Josie. Josie has 29 more cards than kal. Ho
Alona [7]

Answer:

28...?

Step-by-step explanation:

Well, the question states that Martin has 28 basketball cards at the start of the question, and asks how many he has at the end. Martin still has 28 cards. Unless part of the question was cut, then this is your answer.

7 0
3 years ago
Describe the transformation done to y = 1/x to get y = 1/4x -12?
BabaBlast [244]
The transformation is done to y=1/x to get y=1/4x-12. We defined a turning point in the equation which will indicate the point in the graph.

We changed the form from y=x to y=x+c. In this case, we use 1/2 for the and constant C value which is -12.

3 0
3 years ago
If a car salesman made $2450 from a 12% commission on a car sale, what is cost of the car he sold?
n200080 [17]

I believe it is 20,416.67

5 0
3 years ago
Read 2 more answers
0.396 divided by 0.111
vredina [299]

About 3.5675 i need more characters so toodles

3 0
3 years ago
Read 2 more answers
How much carbon dioxide will you prevent from entering the atmosphere in one year, if you replace a 100-watt light bulb with a C
Afina-wow [57]

Answer:

280000lb

Step-by-step explanation:

In this question, we shall be calculating the amount of carbon iv oxide prevented from entering the atmosphere.

Generally we know that 1kwh produces 1.37 lbs of Carbon iv oxide in the atmosphere

Now, using a 100 watt light bulb daily for 8 hours, for a year, the amount of Carbon iv oxide produced will be;

100 * 1.37 * 8 * 365 = 40040 lb

Using a 30 watt CFL for 8hrs/ day for a year, we have;

30 * 1.37 * 8 * 365 = 120012 lb

Now calculating the amount of CO2 prevented, we have 40040 - 120012 = 280028 lb = 280000 after rounding up

3 0
3 years ago
Other questions:
  • A scatter plot with a very strong linear association will have a correlation that is close to
    7·1 answer
  • IF P(A)=1/3, P(B)=2/5, and P(AuB)=3/5, what is P(A^B)?
    12·1 answer
  • How do I round 757.1428571
    6·2 answers
  • -2.75 + ( -3.25 ) + 5
    12·2 answers
  • How will the volume of the pyramid change if each side is multiplied by a factor of .5
    6·1 answer
  • Anyone can help asap?
    15·1 answer
  • What is the total area of the shape below
    8·2 answers
  • Someone pls help me with this question. No guessing<br> Use photo below to solve for x
    9·1 answer
  • Find the factor of each ff.<br> 10x²-21x-27​
    12·1 answer
  • Find the range of the function y=-x^2-3x when the domain is {-5, 0, 2}
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!