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
LekaFEV [45]
2 years ago
6

The bowling alley and the swimming pool both offer birthday party rentals the bowling alley coast $5 per person plus a $15 room

rental fee. The swimming pool costs $4 per person plus a $12 room rental fee.you have $40 at which location can you invite more people
Mathematics
1 answer:
Vanyuwa [196]2 years ago
5 0

Answer:

Swimming pool

Step-by-step explanation:

Let's say that we invite x people. The cost of the bowling alley will be $15 for the room, and we add $5 dollars for each person. Therefore, we can represent the cost of the bowling alley as

5 * x + 15

Similarly, the cost of the swimming pool is

4 * x + 12

To find the maximum of the function, one thing we can do is set the expressions of the cost equal to 40. This will give us the amount of people we can invite for exactly 40 dollars. Because cost increases with amount of people, this will give us the maximum number of people we can invite with $40.

We thus have

5 * x+ 15  = 40

subtract 15 from both sides to isolate the x and its coefficient

25 = 5 * x

divide both sides by 5 to isolate x

25/5 = x = 5

We can therefore invite 5 people to the bowling alley

4 * x+ 12  = 40

subtract both sides by 12 to isolate the x and its coefficient

28 = 4 * x

divide both sides by 4 to isolate x

x = 7

Therefore, we can invite 7 people to the swimming pool. As 7 > 5, we can invite more people to the swimming pool.

A quicker way to solve this could be by looking at the cost of each location. Because the bowling alley costs more both per person and for the room, and there is no way to decrease the cost except by decreasing the amount of people, there is no way that the bowling alley could get as many people as the swimming pool with the same amount of money

You might be interested in
110 120 130 140 150 160
ycow [4]

Answer:

Step-by-step explanation:

Given the data:

Weight ____Height

110 _______ 120

130 _______140

150 _______160

From the data given, we can conclude that that there exist a positive relationship between weight and height. As weight increases, the height increases and vice versa. The weight variable and height variable are positively correlated and thus an individual with a high weight value will have a high height value.

7 0
3 years ago
Read 2 more answers
Can i PLEASE PLEASE PLEASE have some help?
DochEvi [55]
In order from left to right its RRRT
R is repeating and T is terminating 
3 0
3 years ago
Read 2 more answers
3 15/16 divided by 2 5/8Ask your question here
Alexeev081 [22]
\frac{3 \frac{15}{16}  }{2 \frac{5}{8}}  \\  \\  \frac{ \frac{63}{16} }{ \frac{21}{8} }  \\  \\ \frac{63}{16}*\frac{8}{21} \\  \\  \frac{63*8}{16*21}  \\  \\  \frac{504}{336}  \\  \\ 1 \frac{168}{336}  \\  \\ 1 \frac{168:168}{336:336} \\  \\ 1 \frac{1}{2}
3 0
3 years ago
The length of a rectangle is 1 inch less than twice the width. the area is 21 inches^2 what is the length?
ale4655 [162]
Hi.

Formula for area: A = 2l + 2w, where l is the length and w is the width.

Given information:
• l = 2w - 1
• A = 21 in^2

We can plug in our values accordingly and solve for w.

A = 2l + 2w
21 = 2(2w - 1) + 2w
21 = 4w - 2 + 2w
23 = 6w - 2
23 = 6w
3.83 = w

Plug 3.83 for w into 2w - 1 to find length.

2(3.83) - 1
7.66 - 1
6.66

Finally, check your work by plugging your values into the original equation.

21 = 2(6.66) + 2(3.83)
21 = 13.32 + 7.66
21 = 20.98

Answer:
The length is approximately 6.66 inches.
4 0
3 years ago
HELP PLEASE I have no clue what this is
devlian [24]

Answer:

972

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • The 25 members of the Reading Club are buying a book to discuss at the next meeting. The club leader got a special price; the bo
    12·2 answers
  • Solve for x+.15x=3.45
    15·2 answers
  • Graph the following inequality. Then click to show the correct graph. y ≤ -2
    12·2 answers
  • Rewrite using standard notation : 8.07 x 10^3
    5·1 answer
  • Jessica and Olivia shared $255 Jessica received 5/12 as much money as Olivia how much money did Olivia received
    7·1 answer
  • The sum of 9 and c is less than or<br> equal to 15.
    11·2 answers
  • Natalie paid $20.7 for 3 small pizzas and a salad which was $3.
    5·1 answer
  • Friends help me out<br><br><br>state true or false<br><br>0 is the multiplicative inverse of 0?​
    12·1 answer
  • Simplify the linear expression.<br> −4x+5(−5x−1)<br> plz help
    6·1 answer
  • Given sin0= 3/7, and tan0 &lt;0, what is the value of coso?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!