Fishing Adventures rents small fishing boats to tourists for day long fishing trips.
•Each boat can hold at most eight people
•Additionally, each boat can only carry 1,200 pounds of people and gear for safety reasons
•Assume on average an adult weighs 150 pounds and a child weighs 75 pounds
•Each group will require 200 pounds of gear in addition to the weight of the group
a. Write an inequality that illustrates the weight limit for a group of adults and children on the fishing boat and a second inequality that represents the total number of passengers in the fishing boat. Graph the solution set to the inequalities.
Group A has 4 adults and 2 children.
Group B has 3 adults and 5 children.
Group C has 8 adults and 0 children.
Which of the groups if any can safely rent a boat? What other combinations are possible?
Instructions:
You are to write two inequalities, one solving the [total number of pounds] And the other [total number of people] *REQUIRES 200 POUNDS OF GEAR IN ADDITION
PLEASE HELP ASAP!! I REALLY NEED HELP AND IS DUE IN 20 MINUTES PLEASE!!
THANK YOU! FIRST TIME USING BRAINLY PLEASE HELP!!
To write an inequality that illustrates the weight limit for a group of adults and children on the fishing boat, let's assume that the letter a corresponds to the number of adults and the letter c corresponds to the number of children.
So, let's calculate:
[tex]150a + 10a = 160a\\ 75c + 10c = 85c[/tex]
The total weight on the boat by people corresponds to:
[tex]160a + 85c [/tex]
Now, let's add 200 pounds of equipment to this amount, and remembering that the total weight cannot exceed 1200 pounds, so we will find the following inequality:
[tex]160a + 85c + 200 \leq 1200[/tex]
Or else:
[tex]160a + 85c\leq 1000[/tex]
The next step is to calculate the inequality for the passenger limit, remembering that this number cannot exceed 8:
[tex]a + c \leq 8[/tex]
Thus, we find a system of linear inequalities:
[tex]160a + 85c\leq 1000[/tex]
[tex]a + c \leq 8[/tex]
In order to be able to answer which of the groups can safely rent a boat, we will make the following calculations substituting the values in the inequalities found.
Group A has 4 adults and 2 children:[tex]160(4) + 85 (2) + 200 = 1010\leq 1200[/tex]
Group B has 3 adults and 5 children:[tex]160(3) + 85 (5) + 200 = 1105\leq 1200[/tex]
Group C has 8 adults and 0 children:[tex]160(8) + 200 = 1480\leq 1200[/tex]
Therefore, through the calculations it can be stated that group 1 and group 2 can safely rent a boat, but group 3 exceeds the weight limit.
There are other possible combinations that can be found graphically.
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Answer:
A
Explanation:
you welcome
How I study for the PSAT? I have to take it tomorrow.
In the system of equations above, a is a constant. For
- 3x + y = 6
ax + 2y = 4
What is the
which of the following values of a does the system
have no solution?
A) -6
B) -3
C)3
D)6
( I know the answer I just don’t know how to solve it)
Answer:
A
Explanation:
to have no soluion, two lines are parallel, which means their slopes are same, but different y-intercept. (if two line have same slope and same y-intercepts, they have infinite solutions)
-3x+y=6 --> y=3x+6
ax+2y=4 --> y=-ax/2 +2
3= -a/2
a=-6
ink a lot of water. Your body needs water to _____properly
Answer:
function
Explanation:
this goes without saying, we need water to survive.
Ecosystems contain both __________ and __________ parts.
Ecosystem contain both 'Biotic factors or living parts' and Abiotic factors or non-living parts.BIOTIC FACTORS include plants,animals and other organisms while ABIOTIC FACTORS include rocks,temperature and humidity.
I need advice: my friends leave me out of everything and never invite me to stuff, they have group chats with me not in it and they are doing something for halloween and aren't telling me. They didn't invite me to join them. What do I do. I don't need friends right?...
Answer:
I think you should ask them what they are doing, and if they won't tell you I think you should find a new group of friends.
Extra:
P.S. If you need a friend, I will be your friend.
Backto2021
I need y’all to answer this ASAP no rocky.
Which term describes the ability to use different types of reasoning for different situations and analyze the possible outcomes of a decision?
A. critical thinking
B. goal setting
C. decision making
D. planning
Answer:
Decision making
Explanation:
being able to analyze possible outcomes for a decision is the ability to make decisions(thats the best explanation I could think of idk)
PLZ HELP, I WILL GIVE BRAINLIEST!!!!!
Answer:
1st gos to 2 3 goes to 1st 4th goes to 3 and the last one fits in
Explanation:
im in college a already did that
match each word with the sense it awakens i a reader sight sound smell touch taste
Answer:
Reader associates with sight.
Which statement correctly compares the boiling point of water on a
mountaintop with the boiling point of water at sea level?
A. The boiling point of water is lower on the mountaintop because
the temperature is lower.
B. The boiling point of water is lower on the mountaintop because
the air pressure is lower.
C. The boiling point of water is higher on the mountaintop because
the air pressure is higher.
D. The boiling point of water is higher on the mountaintop because
the temperature is higher.
Answer:B
Explanation:
BIG BRAIN
The boiling point of water is lower on the mountaintop because the air pressure is lower.
What is boiling point?Boiling point is defined as the temperature at which the pressure that a liquid is subjected to from its environment equals the pressure that the liquid's vapor is subjected to: In this case, adding heat causes the liquid to evaporate without raising the surrounding air's temperature. The effects of temperature, pressure in the atmosphere, and vapor pressure on a liquid's boiling point are discussed.
On a mountaintop, there is less air pressure pressing down on the molecules, causing the water to boil at a lower temperature. Pressure causes a rise in the boiling point of water. At low pressure, water's boiling point drops.
Thus, the boiling point of water is lower on the mountaintop because the air pressure is lower.
To learn more about boiling point, refer to the link below:
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Where is error in the following sentence ? The barber had three clients waiting; Larry, James, and Charles
Answer:
There is no period at the end.
Explanation:
The answer is self explanatory.
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1pt. A roller coaster car is released from a standing start at the top of a 20.0-m hill. The car rolls down the hill to a point 10.0 m
above the ground, then up a second hill to 15.0 m, and then down again to point X at 8.00 m above the ground. Use what
you know about the sum of the kinetic and potential energies to find the car's speed at X.
A. 11.7 m/s
B. 12.5 m/s
• C. 15.3 m/s
D. 19.8 m/s
Answer:
-12.5
Explanation:
8
At a child's lemonade stand, p pitchers of lemonade
are made by adding m packets of lemonade mix
to cold water. If m=2p+4, how many more
packets of lemonade mix are needed to make each
additional pitcher of lemonade?
A) O
B) 1
C) 2
D) 4
If m = 2p+4, how many more packets of lemonade mix are needed to make each additional pitcher of lemonade is 2. The correct option is C).
What are calculations?Calculations are things you consider and perform mathematically. The calculation is the process of doing a mathematical calculation. Millions of calculations can be made by the computer every second. Calculating the necessary amount of fuel will require some care.
A component of the calculation framework is implemented by a calculation method. For the many activities needed to accomplish a calculation within the calculation framework, various calculation method classes are employed.
Given that m = 2p + 4
There will be two more packets that will be needed to make lemonade.
Therefore, the correct option is C) 2.
To learn more about calculations, refer to the link:
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Anyone now what test this is
Answer:No i do not recall knowing sorry.
Explanation:
the evidence-based reading section of the PSAT assess a student's:
A. understanding of language structure, taking meaning into consideration.
B. ability to read and think carefully about a passage or two related passages.
C. recognition of errors in usage and structure
D. comparison of the meanings of words and how parts of sentences fit together logically.
Answer: B
Explanation: read and rethink passage
The evidence-based reading section of the PSAT assess a student's ability to read and think carefully about a passage or two related passages. The correct option is B.
What is PSAT?Content on the PSAT includes the reading, math, and writing and language sections. ·
In the reading section, one has the ability to read carefully and think upon the passage summary. To have the evidence, one must read two or more passages.
Thus, The correct option is B.
Learn more about PSAT.
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Guilherme asked the 10th and 11th graders at his school which sport they preferred between
basketball and football. The table above displays a portion of the results. If 20% of the surveyed
students who prefer football are in 10th grade, then how many of the surveyed 11th graders at
Guilherme's school prefer basketball?
Answer:46
Explanation:
Just took it