On a small island, 63 people live on 21 acres of land. If another 42 people move to the island how many acres will the 105 people live on?
Answers
Hey there!
If 63 people live on 21, acres, that means that 63/21 = 3, so every 1 acre is 3 people. So we can divide 105/3 and we get 35, which means 105 people will live on 35 acres.
Have a great day!
Related Questions
Write the equation of a line parallel to y = 2x + 3 that passes through the point (3,1)
Answers
Answer:
Step-by-step explanation:
Answer:
y = 2x-5
Step-by-step explanation:
Lets look for an equation in the standard form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
A reference line is given: y=2x+3. It has a slope of 2. Parallel lines have the same slope, so the line we are looking for will also have a slope of 3. We can therefore wrtite what we know sio far. The new line will be:
y = 2x+b
Any vale of b will produce a line that is parallel to the referenc elien. But we need a line that goes through a given point of (3,1). By choosingf the correct value of b, we can force the line therough this point. The easiest way to find b is to use the known point in the equiation we have thuis far, and solve for b:
y = 2x+b
1 = 2*(3)+b for (3,1)
b = -5
The equation of a line parallel to y=2x+3 and going through point (3,1) is:
y = 2x-5
See attached graph.
Angel corre en un maratón de 500m y lo hizo en 1,5 horas. ¿Cuál fue la velocidad de
Angel?
Answers
q2: through data collection, you observe over the past 100 days, your web hosting provider has been up and running 99% of the time. the average (mean) time for repair is 12 hours. q2.1: what is the availability of your hosting service for this period of time?
Answers
The availability of the web hosting service over the past 100 days is 99.5%.
What is the availability of web hosting?The term availability means the degree to which a system like web hosting is in specified operable and committable state at the start of a mission.
We will find the downtime first.
Given that:
Hosting provider has been up 99% of the time, the downtime is:
= 100 days x (1 - 0.99)
= 1 day
The total time that the service should have been available is:
= 100 days x 24 hours/day
= 2400 hours
The availability as the ratio of uptime to total time is
= (2400 - 12) / 2400 x 100%
= 0.995 x 100%
= 99.5%.
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You have been tasked with designing a wall to separate two rooms. The requirement is for a sound reduction index between the two rooms of 75 dB at 1000 Hz. The wall is to be built of a material with a density 1000 kg/m³, what thickness will the wall be? What acoustic transmission problems do you see with the wall and other elements of the building, and how might they be resolved?
Answers
The wall thickness required to achieve a sound reduction index of 75 dB at 1000 Hz with a material density of 1000 kg/m³ is approximately 0.35 meters.
The transmission loss of a material is given by TL = 20log₁₀(MR), where MR is the mass law constant and is calculated as MR = ρc/f, where ρ is the density of the material, c is the speed of sound (343 m/s), and f is the frequency. To achieve a sound reduction index of 75 dB, we need a transmission loss of 75 dB at 1000 Hz. Rearranging the formula, we have TL = 20log₁₀(ρc/f). Substituting the given values, we get 75 = 20log₁₀((1000*343)/1000). Solving for log₁₀((1000*343)/1000), we find log₁₀((1000*343)/1000) = 3.75. Dividing 75 by 20, we get 3.75. Substituting this value back into the formula, we have 3.75 = (ρc/1000). Rearranging, we find ρc = 3.75 * 1000. Substituting the values of ρ (1000 kg/m³) and c (343 m/s), we can solve for the thickness, which is approximately 0.35 meters. The wall thickness required to achieve the desired sound reduction index is approximately 0.35 meters, considering the given material density. However, other elements of the building, such as doors, windows, and ventilation ducts, may pose acoustic transmission problems.
These issues can be addressed by using acoustic seals, double glazing, and sound-absorbing materials in construction, ensuring proper insulation and eliminating air gaps.
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What is the value of X?
3
4
6
8
Answers
Answer:
The answer is 4
Step-by-step explanation:
A particular disease is tested for and the results determine that it occurs in about 1 of every 275 Hispanic baby births and about 1 of every 184,000 non Hispanic baby births. Find the empirical probability that a randomly selected Hispanic baby will have this disease.
Answers
Since the selected baby is Hispanic, we can use the probability given for Hispanic babies, which is 1 of 275.
\(P=\frac{1}{275}\approx0.0036=0.36\text{ \%}\)A. 9,10 B.10,8.3 C. -10,8.3 D-9,10
Answers
Which of the type directions lie in the (110) plane? [101] [110] [o īl] (110
Answers
The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.
Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.
Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.
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Assume that you are going to open a checking account. You are examining different banks and banking accounts to
choose a bank account for your needs. Which of the following statements should not be one of your reasons for
examining different banks?
a. Being more informed leads to being better prepared to make financial decisions.
b Bank E offers you a chocolate bar for filling out an application for checking and credit at the
same time.
c. Banks could have charges that you do not know about until reading carefully
You will become more aware of how well the banks meet your particular needs
d.
Answers
Answer:
Step-by-step explanation:
The answer is B because giving a chocolate bar doesn't help you in a way.
Answer:
B
Step-by-step explanation:
Because a reasonable person won't see it as a reason
A vessel carrying 2 tons of fish is transported by a small boat from Palawan to J apan in 6 days but a large boat can deliver it in just 3 days. Which of the followi ng rational equations best model the given problem if they work together?
Answers
The rational equation that best models the given problem, when the small and large boats work together, is: 1 ton per day = (total tons) / (total days)
To determine the rational equation that best models the given problem, we need to consider the rates at which the small and large boats transport the fish.
Let's assume that the rate at which the small boat transports the fish is represented by r1 (in tons per day), and the rate at which the large boat transports the fish is represented by r2 (in tons per day).
According to the information provided:
The small boat transports 2 tons of fish in 6 days, which gives us the equation: 2 tons = r1 * 6 days.
The large boat transports 2 tons of fish in 3 days, which gives us the equation: 2 tons = r2 * 3 days.
Now, if the small and large boats work together, their rates of transporting fish will add up. Therefore, the rational equation that represents the combined work of the boats is:
(2 tons) / (6 days) + (2 tons) / (3 days) = (total tons) / (total days)
Simplifying the equation further:
1/3 ton per day + 2/3 ton per day = (total tons) / (total days)
Combining the fractions on the left side:
3/3 ton per day = (total tons) / (total days)
Simplifying the fraction:
1 ton per day = (total tons) / (total days)
Therefore, the rational equation that best models the given problem, when the small and large boats work together, is:
1 ton per day = (total tons) / (total days)
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is 60 irrational or rational
Answers
Answer:
Rational
Step-by-step explanation:
60 can be expressed as a ratio of two intergers, making it rational.
E is the encoding matrix.Use E to decode the coded message matrix.
Answers
To decode a message, we take the string of coded numbers and multiply it by the inverse of the matrix to get the original string of numbers. Finally, by associating the numbers with their corresponding letters, we obtain the original message.
The encoding matrix is given to be:
\(E=\begin{bmatrix}{4} & {3} \\ {5} & {4}\end{bmatrix}\)The inverse of the matrix is calculated to be:
\(E^{-1}=\begin{bmatrix}{4} & {-3} \\ {-5} & {4}\end{bmatrix}\)Next, we break the encoded matrix into single rows of 2 x 1 matrices and multiply each one with the inverse of the encoding matrix:
Row 1
\(\Rightarrow\begin{bmatrix}{4} & {-3} \\ {-5} & {4}\end{bmatrix}\begin{bmatrix}{59} \\ {76}\end{bmatrix}=\begin{bmatrix}{8} \\ {9}\end{bmatrix}\)Row 2
\(\Rightarrow\begin{bmatrix}{4} & {-3} \\ {-5} & {4}\end{bmatrix}\begin{bmatrix}{13} \\ {17}\end{bmatrix}=\begin{bmatrix}{1} \\ {3}\end{bmatrix}\)Row 3
\(\Rightarrow\begin{bmatrix}{4} & {-3} \\ {-5} & {4}\end{bmatrix}\begin{bmatrix}{103} \\ {130}\end{bmatrix}=\begin{bmatrix}{22} \\ {5}\end{bmatrix}\)Row 4
\(\Rightarrow\begin{bmatrix}{4} & {-3} \\ {-5} & {4}\end{bmatrix}\begin{bmatrix}{20} \\ {25}\end{bmatrix}=\begin{bmatrix}{5} \\ {0}\end{bmatrix}\)Row 5
\(\Rightarrow\begin{bmatrix}{4} & {-3} \\ {-5} & {4}\end{bmatrix}\begin{bmatrix}{12} \\ {16}\end{bmatrix}=\begin{bmatrix}{0} \\ {4}\end{bmatrix}\)Row 6
\(\Rightarrow\begin{bmatrix}{4} & {-3} \\ {-5} & {4}\end{bmatrix}\begin{bmatrix}{7} \\ {9}\end{bmatrix}=\begin{bmatrix}{1} \\ {1}\end{bmatrix}\)Row 7
\(\Rightarrow\begin{bmatrix}{4} & {-3} \\ {-5} & {4}\end{bmatrix}\begin{bmatrix}{75} \\ {100}\end{bmatrix}=\begin{bmatrix}{0} \\ {25}\end{bmatrix}\)Row 8
\(\Rightarrow\begin{bmatrix}{4} & {-3} \\ {-5} & {4}\end{bmatrix}\begin{bmatrix}{56} \\ {70}\end{bmatrix}=\begin{bmatrix}{14} \\ {0}\end{bmatrix}\)Therefore, the combined multiplied matrix is:
\(\Rightarrow\begin{bmatrix}{8} \\ {9}\end{bmatrix}\begin{bmatrix}{1} \\ {3}\end{bmatrix}\begin{bmatrix}{22} \\ {5}\end{bmatrix}\begin{bmatrix}{5} \\ {0}\end{bmatrix}\begin{bmatrix}{0} \\ {4}\end{bmatrix}\begin{bmatrix}{1} \\ {1}\end{bmatrix}\begin{bmatrix}{0} \\ {25}\end{bmatrix}\begin{bmatrix}{14} \\ {0}\end{bmatrix}\)Comparing these with the letter codes shown below:
We have the code to be:
\(\Rightarrow\begin{bmatrix}{H} \\ {I}\end{bmatrix}\begin{bmatrix}{A} \\ {C}\end{bmatrix}\begin{bmatrix}{V} \\ {E}\end{bmatrix}\begin{bmatrix}{E} \\ {-}\end{bmatrix}\begin{bmatrix}{-} \\ {D}\end{bmatrix}\begin{bmatrix}{A} \\ {A}\end{bmatrix}\begin{bmatrix}{-} \\ {Y}\end{bmatrix}\begin{bmatrix}{N} \\ {-}\end{bmatrix}\)The code is "HAVE A NICE DAY".
The THIRD OPTION is correct.
Which of the following are the eigenvalues of (-12)² ? 0 1 ± 2i 0 1± √/2i O 2 + i O √2+i 4. (We will use the notation ☀ = dx/dt.) The solution of ï = kt with initial conditions (0) = 1 and (0) = -1 is given by kt3³ x(t)=1-t+ 6 x(t)=1-t+t² + kt³ x(t) = cost - sint + 6 x(t) = 2 cost - sint − 1 + kt³ 6 kt³ 6
Answers
The eigenvalues of (-12)² can be found by squaring the eigenvalues of -12.
The eigenvalues of -12 are the solutions to the equation λ = -12, where λ represents the eigenvalue.
Solving this equation, we have:
λ = -12.
Now, squaring both sides of the equation, we get:
λ² = (-12)² = 144.
Therefore, the eigenvalue of (-12)² is 144.
To summarize, the eigenvalue of (-12)² is 144.
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Solving systems by substitution
Answers
Tank 2: v = 236 + 6m
109 minutes, less than two hours, since two hours is 120 minutes (60 minutes in one hour, times 2)
Set them equal to each other to find out when they will have the same number of gallons: 1540 - 6m = 236 + 6m
1304 = 12m
108.667 rounded to the nearest minute is 109 minutes, which is the answer.
Triangle RST is similar to triangle RVW.
R
10 mm
w
V
d mm
5 mm
18 mm
What is the value of d in millimeters?
A 27 mm
B 12 mm
C 9 mm
D 13 mm
Answers
Answer: B: 12
Step-by-step explanation:
At a price of $162.65 per ounce the daily demand of virbog is 850 ounces. At a price of $132.05 the daily demand of virbog is 1450 ounces. Use this information to create two ordered pairs of the form (Quantity Demanded, Price per Ounce). Use a comma to separate the ordered pairs. At a price of $162.65 per ounce the daily demand of virbog is 850 ounces. At a price of $132.05 the daily demand of virbog is 1450 ounces. Use this information to create two ordered pairs of the form (Quantity Demanded, Price per Ounce). Use a comma to separate the ordered pairs.
Answers
The first ordered pair is (850, 162.65), indicating that at a price of $162.65 per ounce, the daily demand of Virbog is 850 ounces. The second ordered pair is (1450, 132.05), indicating that at a price of $132.05 per ounce, the daily demand of Virbog is 1450 ounces.
These ordered pairs represent the relationship between the quantity demanded and the price per ounce of Virbog. It shows how the demand for Virbog changes with respect to its price.
The first ordered pair indicates that as the price per ounce increases to $162.65, the quantity demanded decreases to 850 ounces. The second ordered pair indicates that as the price per ounce decreases to $132.05, the quantity demanded increases to 1450 ounces. This information can be used to analyze the demand curve for Virbog and study its price elasticity.
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Jim packed 24 frenks for lunch. Jim ate 45 percent of the frenks. What
fraction of the frenks did Jim eat?
Answers
Answer:
11 franks
Step-by-step explanation:
1) Round 45% to 50% to simplify.
2) Now, we need to find out what 50% of 24 is.
12 is 50% of 24.
3) If 12 is 50%, we can make an educated guess and say...
Jim ate 11 franks for lunch.
Answer:
10 4/5
Step-by-step explanation:
the equation is p%*x=y
45%/100=.45
.45*24=10.8
10.8=10 4/5
Verify the Pythagorean Theorem for the vectors u and v. u = (3, -1, -3), v = (-l, -3, 0) STEP 1: Compute u middot v. Are u and v orthogonal? Yes No Compute ||u||^2 and ||v||^2. ||u||^2 = ||v||^2 = Compute u + v and ||u + v||^2. U + V = ||u + v||^2 =
Answers
The answer of this given question is ||u + v||^2 = ||u||^2 + ||v||^2.
How can we verify the Pythagorean theorem by computing u and v?Here are the steps involved in verifying the Pythagorean Theorem for the vectors u and v:
STEP 1: Compute u·v = (3, -1, -3) · (-1, -3, 0) = 3 · (-1) + (-1) · (-3) + (-3) · 0 = -3 + 3 + 0 = 0. Since the dot product of u and v is zero, they are orthogonal. STEP 2: Compute ||u||^2 and ||v||^2: ||u||^2 = 3^2 + (-1)^2 + (-3)^2 = 9 + 1 + 9 = 19||v||^2 = (-1)^2 + (-3)^2 + 0^2 = 1 + 9 + 0 = 10 STEP 3: Compute u + v and ||u + v||^2: u + v = (3, -1, -3) + (-1, -3, 0) = (2, -4, -3)||u + v||^2 = 2^2 + (-4)^2 + (-3)^2 = 4 + 16 + 9 = 29. Now, we can verify the Pythagorean Theorem: ||u + v||^2 = ||u||^2 + ||v||^2⇒ 29 = 19 + 10. This equation is true, so we have verified the Pythagorean Theorem for the vectors u and v. Therefore, the answer is:||u + v||^2 = ||u||^2 + ||v||^2.
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What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n?
n = 1
n = −3
n = fraction 3 over 4
n = fraction 1 over 4
Answers
Answer:
The solution is n=1
Step-by-step explanation:
I hope you mean
4/5n-3/5=1/5n
if so then here's the solution
5n×4/5n-3/5×5n=1/5n×5n
4-3n=1
4-1=3n
3n=3
n=1
please help!! you'll get 20 points!!
Answers
The length of the given segment is 1.6cm.
The length of a line segment can be measured by measuring the distance between its two endpoints. It is the path between the two points with a definite length that can be measured.
On a graph, the length of a line segment can be found by using the distance formula between its endpoints.
A scale (ruler)
An instrument used to measure the length of a line segment is the scale (ruler). Scale (rulers) are used for measuring a line, and the straight edge allows them to be used for drawing, scoring etc.
In the given segment we will place the scale on 0cm
Then we will draw two points starting from 0 cm to the given red line.
we will measure this line on scale.
The value measured will be 1.6 cm.
Thus The length of the given segment is 1.6cm.
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At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5. Write an equation that represents the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totaled $68.
Answers
The equation that represent the relationship of the coffees is 3x + 5y = 68.
How to represent situation with system of equation?At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.
The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:
where
x = number of medium coffees soldy = number of large coffees soldTherefore, the equation is as follows:
3x + 5y = 68
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How can you apply it triangle congruence to real life situation?
Answers
Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.
The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.
Congruence :
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.
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Solve the triangle. A = 51°, b = 14, c = 6, I'll give 20 points
Answers
Answer:
Step-by-step explanation:
We have that
A = 51°, b = 14, c = 6
step 1
find the value of a
Applying the law of cosines
a²=c²+b²-2*c*b*cos A
a²=6²+14²-2*6*14*cos 51-------> 126.27
a=11.2
we know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
we have
a=11.2
b=14
c=6
so
(a+b) > c-------------> (11.2+14)=25.2
25.2 > 6-----> is not correct
therefore
the answer is the option
a. No triangles possible
I don't know if i am right sorry if this is wrong
one institute mandates that for every 100 items scanned through the electronic checkout scanner at a retail store, no more than 2 should have an inaccurate price. a recent study of the accuracy of checkout scanners at the stores of a certain company showed that, of the company stores investigated, violated the institute's scanner accuracy standard. if 1 of the company stores is randomly selected, what is the probability that that store does not violate the institute scanner accuracy standard?
Answers
Probability of stores not violating the standard = 1 - (X / N)
To find the probability that a randomly selected store does not violate the institute's scanner accuracy standard, we need to determine the probability of stores that do not violate the standard out of all the investigated company stores.
Let's assume that the total number of company stores investigated is N, and the number of stores that violated the institute's scanner accuracy standard is X.
First, we need to calculate the probability of stores that violated the standard:
Probability of stores violating the standard = X / N
To find the probability of stores that do not violate the standard, we can subtract the probability of stores violating the standard from 1 (since the sum of the probabilities of both categories should be equal to 1):
Probability of stores not violating the standard = 1 - (X / N)
Therefore, the probability that a randomly selected store does not violate the institute's scanner accuracy standard can be calculated using the given information about the number of stores that violated the standard and the total number of investigated company stores.
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If a+b+c = 9 and ab+bc+ca = 40, find a^2 + b^2 + c^2
Answers
Explanation
By definition.
\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ \end{gathered}\)so
Let
\(\begin{gathered} (a+b+c)=9 \\ ab+bc+ac=40 \\ \text{now, replace} \end{gathered}\)\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ 9^2=a^2+b^2+c^2+2(40) \\ 81=a^2+b^2+c^2+80 \\ \text{subtract 80 in both sides} \\ 81-80=a^2+b^2+c^2+80-80 \\ 1=a^2+b^2+c^2 \end{gathered}\)hence
\(a^2+b^2+c^2=1\)I hope this helps you
pls help guys and pls show working
Answers
An
Step-by-step explanation
Hope it helps boy .
Short answer please ASAP
Answers
The lateral surface area of the rectangular prism given in the picture is 36 cm ²
How to find the lateral surface area of a rectangular prism ?The lateral surface area of a rectangular prism can be found by the formula :
= 2 x height x ( Length + Breadth )
Height = 2 cm
Length = 3 cm
Breadth = 6 cm
The lateral surface area is therefore:
= 2 x 2 x ( 3 + 6 )
= 4 x 9
= 36 cm ²
In conclusion, the lateral surface area is 36 cm ².
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Patty and Tracy are always arguing with each other. Tracy boasts that she can solve any of Patty's algebra problems by graphing. Patty took the challenge and said, “I am thinking of two numbers and their difference is 10. What are my two numbers?"* Tracy responded, "There are an infinite number of pairs of numbers that fit your rule, and I can show all of them by graphing a line Write Patty's rule into an algebra equation, where y>x.
Answers
Answer:
i hate this lesson
Step-by-step explanation:
PLEASE HELP!!! THIS IS DUE TODAY!
A three-bedroom house in Burbville was purchased for $210,000. Housing prices are expected to increase 2% annually in that town. Find the price of the house in 5 years. Show your equation (2 points), and then your answer (2 points).
Answers
Answer:
qjavaivsjsjajjsnssjskksjskskmamaansxbxk
Answer: y=210000(1+0.02)^5
y=231856.97
Step-by-step explanation:
210000 is the total cost and it increases by two percent and its asking how much it will be in 5 years so when you plug in the equation you should get y=231856.97.
Hope this helped
What is the measure of the angle in degrees? (Write number in answer only) help me muhahahah
Answers
Step-by-step explanation:
it is 18 degrees.
I guess