Answer:
The answer is 18 pounds per bucket.
Understanding the ProblemIn this question, we are given the expression that relates the pounds of lobster to the number of buckets:
[tex]\displaystyle \frac{\text{450 pounds}}{\text{25 buckets}}[/tex]
This fraction is presented to give a proportion of pounds of lobster to the number of buckets these lobsters inhabit.
With this proportion, we are expected to assume that the rate will be equivalent across all of the buckets. Therefore, for each bucket, there will be an equal measurement of pounds of lobster.How to Solve the ProblemTo solve this problem, we need to know exactly how this rate will work.
A rate is the same thing as a fraction, percentage, or decimal. All of these forms are convertible between one another.
For instance, if we took 25%, we know that by dividing this by 100, we receive a decimal form (0.25) or a fractional form (1/4).
We can apply the same principle here.
SolvePart I - Set up the Rate
To solve, set up the rate:
[tex]\displaystyle \frac{450 \ \text{pounds}}{25 \ \text{buckets}}[/tex]
Part II - Find the GCF
Then, find the Greatest Common Factor (GCF) of the two digits:
25 — 1, 5, 25450 — 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450Check for common factors between the two trees:
1, 5, 25Since 25 is the greatest of the three factors, it is the GCF.
Part III - Apply the GCF
Divide both the numerator and the denominator by 25:
[tex]\displaystyle \frac{450}{25} = 18[/tex]
[tex]\displaystyle \frac{25}{25} = 1[/tex]
Part IV - Simplify
Set up the new fraction:
[tex]\displaystyle \frac{18}{1}[/tex]
Anything divided by 1 does not change:
[tex]\displaystyle \frac{18}{1} = 18[/tex]
Final ApplicationsSince we got 18 an answer, this means that there are 18 pounds of lobster per bucket.
If a cat falls out of a tree, it has a probability of 0.92 that it will land
on its feet. If a cat climbs a tree and falls out, then climbs the tree
and falls out again, what is the probability that it lands on its feet
both times?
The probability that the cat lands on its feet both times it falls out of a tree is 0.85
How to determine the probability?The probability that the cat lands on its feet is given as:
P(Feet) = 0.92
The probability that it lands on its feet twice is calculated using:
P = P(Feet) * P(Feet)
So, we have:
P = 0.92 * 0.92
Evaluate
P = 0.85
Hence, the probability is 0.85
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The numbers 2 , 3 , 5 and x have an average equal to 4. What is x?
What is the value of c when f=86
Answer: Option A
Step-by-step explanation:
Replace F with 86 then solve
86 - 32 = 54
54 × 5/9 = 30
C =30
Answer:
Step-by-step explanation:
5/9(86-32)
5/9(54)
5(6)= 30
answer is A
√3x2+2x-√3
how can we solve
Answer:
[tex]x = \sqrt{3 \frac{ - 1}{3} } [/tex]
Help please it's algebra will give brainliest
Scott Wishes To Make a line plot of the heights in inches for a basketbll Team. The heights Are listed Below. use the drop-down menus To Make the statements below True. 74 79 78 79 82 73 82 84 80 84 74 76 69 78 81 (Part A) The least value in the data set is (Blank), And the greatest value in the data set is (blank). (Part B) in a frequency table of this data. the data Values with the greatest frequency are (Blank)
Answer:
a) Least (V):69 Greatest (V):84
b) 74 78 79 82 84 are equally the higher frequency so we go with the lower value (V): 74 which is also the mode and modal.
Step-by-step explanation:
Hey can someone please help me with this question. Im having a hard time with them.
Answer:
B
Step-by-step explanation:
A baby boom would cause a sudden increase of the population.
Isabella bought a CD player at the store. She will receive the bill at the end of the month. She plans to pay $30 each month until the bill is paid in full. How did Isabella pay for the CD player? cash check credit card debit card.
The method that was used by Isabella to pay for the CD players is a credit card.
What is a credit card?A credit card is a line of credit that is extended by a bank to the holder of the credit card. The bank extends credit to the credit cardholder based on the holder's credit worthiness.
The holder of the credit card is expected to make payments on debts owed at the end of every month until all the debt has been repaid.
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Answer:
Isabella bought a CD player at the store. She will receive the bill at the end of the month. She plans to pay $30 each month until the bill is paid in full. How did Isabella pay for the CD player?
❌ A) cash
❌ B) check
✔️ C) credit card❌ D) debit card
I Took Question Test Have Nice Day.
Find the measures of angles Q and S. Number 7!
Check the picture below.
How many solutions are there for the system of equations shown on the graph?
Answer:
What Graph?
Step-by-step explanation:
Answer:
you have to put the image of the graph
If a subtended arc has a measure of ______, then the
A. 40 B. 70 C. 110 D. 60
inscribed angle must have a measure of ______.
A. 210 B. 220 C. 20 D. 140
Answer: A, C
Step-by-step explanation:
The measure of an incsribed angle is half the measure of the arc it subtends.
2. Before the war, Kim Il-Sung informed the Soviet Union and China of his plan to invade
Before the beginning of the Korean War, Kim II-Sung had established his plans to invade South Korea and shared them with Soviet Union and China.
Why did Kim II-Sung invade South Korea?To be able to spread communist ideologies across the neighboring countries, Kim II-Sung planned to invade South Korea for the same.
Soviet Union and China also joined hands, as they were also focused on wide-spreading the communal ideologies throughout the world.
Hence, it may be stated that the invasion of South Korea took place for spreading communism.
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Answer:
All answers.1. Kim Il-Sung was the leader of
✔ North Korea.
2. Before the war, Kim Il-Sung informed the Soviet Union and China of his plan to invade
✔ South Korea.
3. The South Korean government was led by President
✔ Syngman Rhee.
4. South Korea’s leadership arrested and killed thousands of
✔ alleged North Korean agents.
Step-by-step explanation:
100%I'll give 20 points just please tell me the right answer. What is the correct set up to solve for x
Answer:
tan 19 = x/25
Step-by-step explanation:
x = tan 19 ✖️ 25
x = 0.3443 ✖️ 25
x = 8.6075
x = 8.61 (2 decimal places)
Each figure below is part of a capital letter in the English alphabet. To find the whole
letter, combine the figure with its image for the appropriate rotation or reflection. What letter corresponds to each figure? What transformation produces each letter?
The letters in full are given as L, C C, C C, L, L, A, L, L, O, and M. They are identified by either reflecting them or rotating them. See below which of the elements gives the result for each.
First, what is a rotation in mathematics?Rotation in mathematics is defined as the act of turning an element by one or more degrees about one fixed axis or central point such that the object faces different directions each time.
What is a reflection in mathematics?According to the rules of geometry, a reflection occurs when an object is flipped into its mirror image. See the attached as an example.
Both reflections and rotation are known as transformation.
What transformation produces each letter?The transformation of the 1st letter is reflection.The conversion of the 2nd letter is reflection.Rotation is the transformation of the 3rd letter.Rotation is the 4th letter's transformation.Reflection is the 5th letter's transformation.The change of the 6th letter is reflection.Rotation is the transformation of the 7th letter.The transformation of the eighth letter is reflection.The transformation of the 9th letter is reflection.Rotation is the 10th letter's transformation.The transformation of the 11thletter is reflection.The transformation of the 12th letter is reflection.Learn more about Reflections and Rotations in Mathematics at;
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HELP PLEASE ILL GIVE BRAINLEST
Answer:
12 different rectangles.
Step-by-step explanation:
I just divided 24 and got 12
what is the surface area of the triangular prism shown
Check the picture below.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{two~triangles}{2\left[\cfrac{1}{2}(15)(8) \right]}~~ + ~~\stackrel{rectangle}{(25)(15)}~~ + ~~\stackrel{rectangle}{(25)(17)}~~ + ~~\stackrel{rectangle}{(25)(8)}} \\\\\\ 120~~ + ~~375~~ + ~~425~~ + ~~200\implies 1120~yd^2[/tex]
A copy machine makes 28 copier per minute how many copies does it make in 4 minutes and 15 seconds
Answer:
check photo for detailed analysis
Answer:
119 copies
Step-by-step explanation:
Given that,
→ 1 minute = 28 copies
Copies made in 4 minutes & 15 seconds,
→ 28 × (4 + 15/60)
→ 28 × (4 + 1/4)
→ 28 × (16+1)/4
→ 28 × 17/4
→ 476/4
→ [ 119 copies ]
Hence, the machine made 119 copies.
Raul plans to run 30 miles this week. He wants to run the same number of miles each day of the week. He says he will run 7/30 mile each day. Is he correct? Explain
Find the value of a circle with the radius 4 ft use 3.14 for π and do not round
Answer:
Step-by-step explanation:
Population of fishes in a pond is directly proportional to amount of fishes present in the bond. if initially there are 5000 fishes in the pond. (a) write it in the form of differential equation. (b)find its general solution. (c) What will be the population after 6 months
Using separation of variables for the differential equation, it is found that:
a) The differential equation is: [tex]\frac{dP}{dt} = kP[/tex]
b) The solution is: [tex]P(t) = 5000e^{kt}[/tex]
c) In 6 months, the population is: [tex]P(6) = 5000e^{6k}[/tex]
What is the differential equation?Population of fishes in a pond is directly proportional to amount of fishes present in the bond, hence the differential equation is:
[tex]\frac{dP}{dt} = kP[/tex]
In which k is the growth rate.
What is separation of variables?In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.
Hence, for the differential equation in this problem:
[tex]\frac{dP}{dt} = kP[/tex]
[tex]\frac{dP}{P} = k dt[/tex]
[tex]\int \frac{dP}{P} = \int k dt[/tex]
[tex]\ln{P} = kt + P(0)[/tex]
[tex]P(t) = P(0)e^{kt}[/tex]
In which P(0) = 5000 is the initial population, hence:
[tex]P(t) = 5000e^{kt}[/tex]
In 6 months, the population is:
[tex]P(6) = 5000e^{6k}[/tex]
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Solve y^3=125, where y is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
30 POINTS
There are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.
How to find one solution of equation?
If the equation is given a unique and single value of variable after solving, then the equation is said one solution equation. Such equation gives exactly one solution.
The three solution of an equation are-
One solution- When the graph provides the single value of the given variable, we get one or unique solution.No solution- When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.Infinite many solution-For the same line, the equation has the infinite many solution.
The expression for y is given as,
y³=125
Here, y is a real number. equate the equation to zero,
y³-125=0
y³-5³=0
Use the formula of difference of two perfect cube as,
(y-5)(y²+5y+25)=0
The values of y we get after solving the equation as,
y=5, 2.5-4.3301i, 2.5+4.3301i
Thus, there are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.
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Amanda deposits $500 into a savings account
arning simple interest at an annual rate of 8%. tori deposits $1,000 into a
vings account earning simple interest at an annual rate of 2.5%. neithe
i makes any additional deposits or withdrawals. which girl's account
i reach a balance of $1,500 first? justify your answer.
[tex]~~~~~~ \stackrel{\textit{\LARGE Amanda}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years \end{cases} \\\\\\ 1500=500[1+(0.08)(t)]\implies \cfrac{1500}{500}=1+0.08t\implies 3= 1 + 0.08t \\\\\\ 2 = 0.08t\implies \cfrac{2}{0.08}=t\implies \boxed{25=t} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \stackrel{\textit{\LARGE Tori}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years \end{cases}[/tex]
[tex]1500=1000[1+(0.025)(t)]\implies \cfrac{1500}{1000}=1+0.025t\implies \cfrac{3}{2}=1 + 0.025t \\\\\\ \cfrac{3}{2}-1= 0.025t\implies \cfrac{1}{2}=0.025t\implies \cfrac{ ~~ \frac{1}{2} ~~ }{0.025}=t\implies \boxed{20=t}[/tex]
well, clearly Tori is Da Bomb!.
Help! What is the remainder when 4x^3+8x-32 is divided by x+10
Enter your answer as an integer, like this: 42
Answer: -4112
Step-by-step explanation:
13.) Find the area of the shaded region if the side length of the square is 8 in.
Help fast please!
Answer:
Area of shaded region = 6.88 square inchesStep-by-step explanation:
Area of shaded region
When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).
[tex]\sf \boxed{\text{Area of the shaded region =$\dfrac{Area \ of \ square - area \ of \ circle}{2}$}}[/tex]
Area of square = side *side
= 8 * 8
= 64 square inches
Circle:diameter of the circle = side of the square
d = 8 in
r = 8/2 = 4 in
[tex]\sf \text{Area of circle = \pi r^2}[/tex] Area of circle = πr²
= 3.14 * 4 * 4
= 50.24 square inches
[tex]\sf \text{Area of shade region = \dfrac{64 - 50.24 }{2}}[/tex]
[tex]\sf \text{Area of the shade region = $\dfrac{64 - 50.24}{2}$}[/tex]
[tex]\sf = \dfrac{13.76}{2}\\\\= 6.88 \ square inches[/tex]
How many 1/4-inch segments are in a length of 31/2 inches?
Answer:
depends?
Step-by-step explanation:
(31/2)/(1/4) or (3 1/2)/(1/4) aka (7/2)/(1/4)?
PLEASE HELP ILL GIVE 53 POINTS
please solve the given problem
Usr the law of,,,,,, , solve my math problem I will tell you about problems in comment
Answer:
1. 51511511151111 / 100000000000000
2. 56727776837787/ 10000000000000
Step-by-step explanation:
1. All you have to do for this problem is write over 10000000000000
[tex]51511511151111 / 100000000000000[/tex]
2. Write it overpower of 10
[tex]56727776837787/ 10000000000000[/tex]
3. You need to give me in order to solve
For a one-week period, three bus routes were observed. The results are shown in the table below.
On-Time Delayed Total
Bus Route A 28 7 35
Bus Route B 37 8 45
Bus Route C 24 6 30
Total 89 21 110
A bus is selected randomly. Which event has the highest probability?
A.
The bus is from route B and is delayed.
B.
The bus is from route A and is on time.
C.
The bus is from route C and is on time.
D.
The bus is from route C and is delayed.
Using it's concept, the event that has the highest probability is given as follows:
B. The bus is from route A and is on time.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
We have that out of the 110 buses, 8 are delayed from route B, hence:
P(A) = 8/110.
28 are on time from route A, hence:
P(B) = 28/110.
24 are on time from route C, hence:
P(C) = 24/110.
6 are delayed from route C, hence:
P(D) = 6/110.
Hence option B gives the highest probability.
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Answer:
B. The bus is from route A and is on time.
Step-by-step explanation:
[tex]\large \begin{array}{| c | c | c | c |}\cline{1-4} & \sf On-Time & \sf Delayed & \sf Total\\\cline{1-4} \sf Bus\:Route\:A & 28 & 7 & 35\\\cline{1-4} \sf Bus\:Route\:B & 37 & 8 & 45\\\cline{1-4} \sf Bus\:Route\:C & 24 & 6 & 30\\\cline{1-4} \sf Total & 89 & 21 & 110\\\cline{1-4}\end{array}[/tex]
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore:
[tex]\textsf{P(Route B and delayed)}=\dfrac{8}{110}[/tex]
[tex]\textsf{P(Route A and on time)}=\dfrac{28}{110}[/tex]
[tex]\textsf{P(Route C and on time)}=\dfrac{24}{110}[/tex]
[tex]\textsf{P(Route C and delayed)}=\dfrac{6}{110}[/tex]
So the event that has the highest probability is:
B. The bus is from route A and is on time.
EDULASTIC
full explanation please
Answer:
138°Step-by-step explanation:
Sum of supplementary angles is 180°
m∠A + m∠B = 180°Find the value of x
2x - 24° + 5x - 27° = 180°7x - 51° = 180°7x = 180° + 51°7x = 231°x = 231°/7x = 33°Find the measure of ∠B
m∠B = 5*33° - 27° = 138°Supplementary angles have sum 180°
2x-24+5x-27=1807x-51=1807x=231x=33<B
5(33)-27138°If 3 pens cost 6 dollars how much is each pen?
Please help I need this asap
Answer: $2
Step-by-step explanation:
