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
emmainna [20.7K]
2 years ago
5

a zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group. What

is the largest group that can go to the zoo and spend less than $155 on admission?​
Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
6 0

The largest group that can go to the zoo is 23 members

Step-by-step explanation:

The given is:

  • A zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group
  • We need to find the largest group that can go to the zoo and spend less than $155 on admission

Assume that the number of members in the group is x

∵ There are x members in the group

∵ The zoo charges an admission price of $85 for the first 12

   members of a group and $6 for each additional member

   of the group

- Take 12 members from x and multiply the rest members by

   6 and then add 85 to the product

∴ The group will spend = 6(x - 12) + 85

∵ The group wants to spend less than 155 to go to the zoo

- use the symbol < between the expression above and 155

∴ 6(x - 12) + 85 < 155

- Simplify the left hand side

∴ 6x - 72 + 85 < 155

- Add like terms in the left hand side

∴ 6x + 13 < 155

- Subtract 13 from both sides

∴ 6x < 142

- Divide both sides by 6

∴ x < 23.67

- Take the largest integer less than 23.67

∵ 23 is the largest integer less than 23.67

∴ The group has 23 members

The largest group that can go to the zoo is 23 members

Learn more:

You can learn more about the inequalities in brainly.com/question/1465430

#LearnwithBrainly

You might be interested in
Find the last number of the following series
trasher [3.6K]

The answer is 4) 140.

If we closely examine the pattern of the series, we see that after a number is subtracted by a value, it is multiplied by the same value, and then it moves on to the next natural number.

  • 10 - 2 = 8
  • 8 × 2 = 16
  • 16 - 3 = 13
  • 13 × 3 = 39
  • 39 - 4 = 35

The next step, according to the pattern, would be to multiply 4.

  • 35 × 4
  • 140
8 0
2 years ago
A car travels 120 miles in 3 hours how far will it take to travel. 200 miles
docker41 [41]
Find mph
120/3 = 40 mph
200/40 = 5 hours to travel 200 miles
4 0
3 years ago
Read 2 more answers
64, –48, 36, –27, ...
frozen [14]
The only formula that can be used to describe the sequence is definitely the third one f(x + 1) = -3/4 f(x). So count like that64* -\frac{3}{4}  = -48&#10;48* -\frac{3}{4} = 36 and so on. You can check others by yourself to check if I'm right or not.
4 0
3 years ago
Find the lateral surface area of this
Jobisdone [24]

Answer:

22/7×9×3=22×9×3=594÷7=84.85

7 0
3 years ago
SOMEONE PLEASE HELP ME!
Margarita [4]
36 over 25 is the answer Give the other person brainiest    Thank U!
8 0
2 years ago
Read 2 more answers
Other questions:
  • 1+2=21, 2+3=36,3+4=43,4+5=?
    14·2 answers
  • Can somebody plz help me
    9·1 answer
  • Translate to an inequality using the variable x. A number is less than 2​, or greater than 6 and less than or equal to 9.
    13·1 answer
  • PLEASE HELP!!<br> In triangle ABC, B= 120 degrees, a=10, c=18, find C
    15·2 answers
  • Is 20 quart greater than 80 cups
    15·1 answer
  • How much money would be collected if 24 sweatshirts were sold?
    12·1 answer
  • What is the cost of 2 bags of sugar if 3 bags cost $5.25 and the unit price for each bag is the same.
    10·1 answer
  • Will give brainliest!! answer asap
    11·2 answers
  • On Monday, Sam's Pizza sold 40 large
    14·1 answer
  • Alice and malice are twins. they have a brother bob who is 8 years older. if the sum of their ages is 23, find the ages
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!