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
The message on a diamond-shaped sign might be
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.
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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.
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
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:
ink a lot of water. Your body needs water to _____properly
Answer:
function
Explanation:
this goes without saying, we need water to survive.
If f(x)=x−5, which of the following is a solution of f(2a)+2=f(4a)−4?
(A) 1
(B) 3
(C) 5
(D) 6
(E) There are no solutions.
Answer:
b
Explanation:
My explanation is in the photo above
Answer:
Explanation:
b
How I study for the PSAT? I have to take it tomorrow.
Twice the product of m and a decreased by the
square of the sum of m and n
Which of the following is an expression for the
statement above?
A) 2mn-(m? +n?)
B) 2mn-(m+n)?
C) (m+n)2 – 2mn
D) (m? +n?)-2mn
Answer: D
Explanation:
The expression for the statement that is given is (m² + n²) - 2mn
The expression given is that twice the product of m and n is decreased by the square of the sum of m and n. This will be written as:
= [2 × (m × n)] - (m + n)²
= 2mn - (m² + n²)
= (m² + n²) - 2mn
In conclusion, the correct option is D.
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In your opinion, what could have caused these
changes?
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
Anyone now what test this is
Answer:No i do not recall knowing sorry.
Explanation:
match each word with the sense it awakens i a reader sight sound smell touch taste
Answer:
Reader associates with sight.
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)
Hello! What do you think a book about WW3 would be called?
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
Some forestry professions work for logging companies
True or false
Answer:
true
Explanation:
Answer:
true
Explanation:
Give me a brief definition on helium. 5 sentences, or 1 paragraph with 5 sentences.
Answer:
Helium is basically a chemical element in the noble gas group found especially in natural gases and used chiefly for inflating airships and balloons, as a coolant for superconductors, and as a component of inert atmospheres (as in welding). It's colorless, odorless inert gaseous element It is used as a component of artificial atmospheres and laser media, as a refrigerant, as a lifting gas for balloons, and as a superfluid in cryogenic research. On the periodic table It is on the Atomic number 2
Answer: Helium is a chemical element in the group known as noble gases. It is used to inflate things like balloons, balls, and air balloons. These are some uses of the element. Helium is a very known element. Hope this helps you!
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.
The application of science for practical uses. *
science
variable
technology
volume
scientific method
weight
law
length
scientific notation
mass
significant figure
theory
there are multiple answers and idk :(
Answer:
the answer is scientific method
effect of fertilizer on plant growth
Answer:
i think B
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.
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Who was Alexander Graham Bell?
Guys this is a tough question i don'expect anyone to answer this but if you can i would be very grateful .What IS OBAMA'S LAST NAME?????
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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
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.
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Identify which parts of the sentence belong in the "noun" column and which belong in the "not a noun" column.
Owls nested in the barn.
Answer:
N N
Owls nested in the barn.
Explanation:
A map has a scale of 1 inch per 5 miles. A car can travel 60 miles per hour. If the distance from the start
to the destination is 3 inches on the map, how long will it take the car to make the trip?
A: 12 minutes
B: 15 minutes
C: 17 minutes
D: 20 minutes
Answer:
Answer would be (b) 15
Explanation:
Since 1 inches per 5 miles.
therefore for 60miles it would be 60/5=12
12 inches added to the value of 3inches starting form the start
the answer would then be 12+3= 15 minutes
Hope it helps
If the distance from the start to the destination is 3 inches on the map, it will take 15 minutes take the car to make the trip. The correct option is B.
What is the distance?Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
In navigation, it is utilized. The distance formula is used by a pilot to determine how far apart their plane is from the other plane. They locate the plane's coordinates before using the distance formula to calculate the distance.
Since 1 inch per 5 miles.
Therefore, for 60 miles it would be 60 / 5 = 12
12 inches added to the value of 3 inches starting from the start
Therefore, the correct option is B: 15 minutes.
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Together, natural resources and ecosystem services are referred to as
Answer:
natural capital
Explanation: