a van starts off 189 miles directly south from the city of hartville. it travels due west at a speed of 30 miles per hour. after travelling 126 miles, how fast is the distance between the van and hartville changing? (do not include units in your answer, and round to the nearest hundredth.)
The distance between the van and Hartville is changing at a rate of 39.42 miles per hour.
This is because the van has traveled 126 miles due west at a rate of 30 miles per hour, meaning it is now 63 miles away from Hartville. If the van continues travelling due west at a rate of 30 miles per hour, then it will take another 2 hours to reach Hartville. Thus, the distance between the van and Hartville is changing at a rate of 63 miles divided by 2 hours, or 39.42 miles per hour.
The distance between the van and Hartville is changing as the van travels due west at a rate of 30 miles per hour. After travelling 126 miles, the van will be 63 miles away from Hartville. This means that the distance between the van and Hartville is decreasing at a rate of 63 miles divided by the amount of time it takes for the van to reach Hartville, which is 2 hours.
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A 2-liter container holds more than a 3,000-milliliter container. True or false?
To consider whether this statement is true or not
⇒ must determine the number of milliliters in a liter
⇒ 1 Liter = 1000 milliliter
To compare both containers, lets set both containers in terms of milliliters
Container 1 --> 2 Liter Capacity --> 2000 milliliterContainer 2 --> 3000 milliliterBy looking at the data
⇒ the 3000-milliliter container holds more than the2-liter container
Thus, the statement: A 2-liter container holds more than a 3,000-milliliter container
⇒ False
Answer: False
Hope that helps!
Answer:
False because 2 liters = 2,000 milliliters. Therefore that is not possible.
What had been a big change in tenement construction design and law, instituted by the Health Dept. that alleviated problems in the worst tenements?
One significant change was the implementation of the New York State Tenement House Act of 1901, which required new tenement buildings to have adequate ventilation and light, indoor plumbing, and fire escapes.
During the late 19th and early 20th centuries, tenement housing in urban areas was characterized by overcrowding, poor sanitation, and inadequate ventilation.
These conditions led to high rates of disease and mortality among the working-class population that lived in them. To address these issues, the New York City Health Department instituted a series of reforms that required tenement buildings to meet certain design and construction standards.
It also mandated minimum room sizes and set limits on the number of people who could occupy a single room.
These changes helped to improve the living conditions in the worst tenements, reducing the spread of disease and improving the overall health of the city's working-class population.
While tenement housing remained a significant problem in urban areas for many years, the reforms instituted by the Health Department represented an important step towards improving the quality of life for those who lived in these buildings.
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What is 1 + 1 + 2 - 7 + 4? Take your answer and make it x. X + 4 - 2 + X. What is the final answer?
Answer:
(b)
Step-by-step explanation:
1. In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:
(a) 5, (b) 7, (c) 10, (d) 12, (e) 14
Solution:
Let the number of cows be x and their legs be 4x.
Let the number of chicken be y and their legs be 2x.
Total number of legs = 4x + 2y.
Total number of heads = x + y.
The number of legs was 14 more than twice the number of heads.
Therefore, 2 × (x + y) + 14 = 4x + 2y.
or, 2x + 2y + 14 = 4x + 2y.
or, 2x + 14 = 4x [subtracting 2y from both sides].
or, 14 = 4x – 2x [subtracting 2x from both sides].
or, 14 = 2x.
or, x = 7 [dividing by 2 on both sides].
Therefore, the number of cows = 7.
Answer:
4
Step-by-step explanation:
When you add them the answer is 1.
Now our equation is X plus 4 minus 2 plus X so we will substitute X to our answer which would be
(1) plus 4 -2 plus (1)
1 plus 4 - 2 plus 1
equals to 4
Our answer is 4
If coin initially flipped is equally likely to be coin 1 or coin 2, then the probability that head will come up on tossing the coin = 12×0.7+12×0.6=0.65.
We are given the probability that head will come up on tossing the coin, when a coin initially flipped is equally likely to be coin 1 or coin 2 as;P(head will come up) = 12 × 0.7 + 12 × 0.6 = 0.65Now, let’s understand this solution by breaking it down into different steps:
Step 1: Calculation of probability for coin 1Let p(H) and p(T) be the probabilities of the coin 1 being tossed head and tail respectively.Then, we have:p(H) = 0.7, since coin 1 has 70% chance of coming up as heads.p(T) = 0.3, since coin 1 has 30% chance of coming up as tails.Step 2: Calculation of probability for coin 2Similarly, let p(H) and p(T) be the probabilities of the coin 2 being tossed head and tail respectively.Then, we have:p(H) = 0.6, since coin 2 has 60% chance of coming up as heads.p(T) = 0.4, since coin 2 has 40% chance of coming up as tails.
Step 3: Calculation of probability of the head coming upTo find the probability that a head will come up on tossing the coin, we have to consider both the coins.So, the probability of the head coming up = P(head will come up) = 12 × 0.7 + 12 × 0.6 = 0.65Thus, the probability that head will come up on tossing the coin, when a coin initially flipped is equally likely to be coin 1 or coin 2 is 0.65.
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Eduardo has a 32-gallon fish tank. Describe what this measurement means. (1 point) O It means his fish tank holds 32 fish. OIt means his fish tank is too big. O It means his fish tank holds 32 gallons of water. O It means his fish tank is 32 feet long.
By answering the presented question, we may conclude that The expressions measurement "32-gallon" fish tank means that the fish tank can hold 32 gallons of water.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
The measurement "32-gallon" fish tank means that the fish tank can hold 32 gallons of water.
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Let X and Y be two uniformly distributed random variables over [0,1). Find the probability P [X² +Y²
The probability P[X² + Y² < 1] is equal to π/4.
To find the probability P[X² + Y² < 1], we need to consider the geometric interpretation of the inequality. The inequality X² + Y² < 1 represents the interior of the unit circle centered at (0,0) in the xy-plane.
Since X and Y are uniformly distributed random variables over [0,1), their joint distribution forms a square with side length 1. The area of this square is 1*1 = 1.
To find the probability of the event X² + Y² < 1, we need to determine the area of the region that satisfies this condition. This region is the interior of the unit circle.
The area of a unit circle with radius 1 is πr² = π(1)² = π.
Therefore, the probability P[X² + Y² < 1] is equal to the area of the unit circle divided by the total area of the square, which is π/1 = π.
Hence, the probability P[X² + Y² < 1] is equal to π/4, as π is the area of the unit circle and 4 is the area of the square.
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RedStone Mines stock returned 7.5, 15.3, -9.2, and 11.5 percent over the past four years, respectively. What is the geometric average return?
a. 7.75 %
b. 9.94 %
c. 10.33 %
d. 5.84%
e. 6.36 %
The geometric average return of RedStone Mines stock over the past four years is approximately (b) 9.94%.
To find the geometric average return of RedStone Mines stock over the past four years, we need to calculate the average return using the geometric mean formula. The geometric mean is used to find the average growth rate over multiple periods. To calculate the geometric average return, we multiply the individual returns and take the nth root, where n is the number of periods.
Given the returns of 7.5%, 15.3%, -9.2%, and 11.5%, we can calculate the geometric average return as follows:
(1 + 7.5%) * (1 + 15.3%) * (1 - 9.2%) * (1 + 11.5%)
Taking the fourth root of the above expression, we get:
Geometric average return = [(1 + 7.5%) * (1 + 15.3%) * (1 - 9.2%) * (1 + 11.5%)]\(^{\frac{1}{4}}\) - 1 = 9.94
Evaluating, we find that the geometric average return is approximately 9.94%. Therefore, the correct answer is option b. 9.94%.
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Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase? 1.29x + 0.85y < 5 1.29x + 0.85y > 5 0.85x + 1.29y > 5 0.85x + 1.29y < 5
Answer:
0.85x + 1.29y < 5
Step-by-step explanation:
0.85x of potatoes
1.29 y of grapes
0.85x+1.29y<5 is required equation
Inequality represents purchase of x pounds of potatoes for \($0.85\) per pound and y pounds of grapes for \(\$1.29\) per pound with total cost was less than \(\$5\) is equal to \(0.85x + 1.29y < 5.\)
What is linear inequality?" Linear inequality is defined as the relation between variables with highest exponent one is related with sign of inequality >, < , ≤, ≥."
According to the question,
'x' pounds represents the weight of potatoes
'y' pounds represents the weight of grapes
Cost of potatoes per pound = \(\$0.85\)
Cost of grapes per pound = \(\$1.29\)
Total cost used to purchase the items = \(\$5\)
Substitute the values to represents the relation of linear inequality,
\(0.85x + 1.29y < 5\)
Hence, linear inequality represents Dan purchase is \(0.85x + 1.29y < 5.\)
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Can someone actually help and not delete their answer I rlly need your help I’ll make u brainliest or whatever
Answer:
p = -30 + 20
Hope this helps!
In the problem 8^3 - 10 x 5 - 4, which step should you
perform first?
A Multiply ten times five
B
Subtract four from five
C Elevate elght to the power of three
D
Subtract ten from elght
Joey is running an experiment with a mass on a spring. Joey models the height of the mass above the table he is working on using the equation h(t)=6.85cos(3.42t)+9, where the height is in inches and the time, t, is in seconds since he let the mass free. How many seconds, to the nearest tenth, will it take for the mass to return to its original position?
Answer: 1.8 s
Step-by-step explanation:
Given
The height of the spring mass system above the table is given by
\(h(t)=6.85\cos (3.42t)+9\)
The mass is performing S.H.M with frequency \(\omega =3.42\)
and \(\omega T=2\pi\)
\(\therefore T=\dfrac{2\pi }{\omega}\)
time when mass returns to its original position
\(T=\dfrac{2\pi }{3.42}\\\\T=1.8\ s\)
The number of seconds, to the nearest tenth, will it take for the mass to return to its original position is 1.8 seconds.
Calculation of the time in seconds:Since the equation h(t)=6.85cos(3.42t)+9, where the height is in inches and the time, t, is in seconds
So here the time should be
\(= 2\pi \div 3.42\\\\= 2\times 3.14\div 3.42\)
= 1.8 seconds
Therefore, The number of seconds, to the nearest tenth, will it take for the mass to return to its original position is 1.8 seconds.
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PLEASE HELP ASAP
Jonathan has a rectangular rug with whose length is 5 inches less than its width. The area of the rug is 36 square inches
Please answer as quickly as possible
A). Surface area of option1 is 256.85 in²
surface area of option 2 is 309.35 in²
surface area of option 3 is 223.1 in²
B) volume of option 1 is 249.8 in³
volume of option 2 is 249.8 in³
volume of option 3 is 249.8 in³
C). The volumes are thesame
D). I will choose container 3
What is surface area and volume of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area.
A. The surface area of a cylinder is expressed as;
SA = 2πr(r+h)
for option 1
SA = 2 × 3.14 × 5( 5+3.18)
= 31.4 ( 8.18)
= 256.85 in²
For option 2
SA = 2 × 31.4 × 6( 6+2.21)
= 37.68( 8.21)
= 309.35 in²
for option 3
SA = 2 × 3.14 × 3 ( 8.84+3)
= 18.84 × 11.84
= 223.1 in²
B. For volume, the volume of the cylinder is expressed as;
V = πr²h
for first option
V = 3.14 × 5² × 3.18
V = 249.63 in³
For option2
V = 3.14 × 6² × 2.21
V = 249.8 in³
for option 3
V = 3.14 × 3² × 8.84
V = 249.8 in³
C. The cylinders have different surface areas but almost thesame volumes
D. I will advice the company to choose option 3 because it has the lowest surface area and the cost of producing the container will be lesser to others.
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Which of the following statements is not true about chi-square distributions? The mean decreases as the degrees of freedom increase. OPG? < 0) = 0 O PU2 > 3) is larger for a chi-square distribution with df = 10 than for df = 1 There are an infinite number of chi-square distributions, depending on degrees of freedom. They are always skewed to the right Previous Only saved at 4:44pm
The statement "The mean decreases as the degrees of freedom increase" is not true about chi-square distributions.
Is it true that the mean of a chi-square distribution decreases as the degrees of freedom increase?In fact, the mean of a chi-square distribution is equal to its degrees of freedom. It does not decrease as the degrees of freedom increase.
The mean remains constant regardless of the degrees of freedom. This is an important characteristic of chi-square distributions.
Regarding the other statements:
The statement "OPG? < 0) = 0" is true. The probability of a chi-square random variable being less than zero is always zero, as chi-square values are non-negative.The statement "OPU2 > 3) is larger for a chi-square distribution with df = 10 than for df = 1" is true. As the degrees of freedom increase, the right-tail probability of a chi-square distribution also increases.The statement "There are an infinite number of chi-square distributions, depending on degrees of freedom" is true. The number of chi-square distributions is infinite because the degrees of freedom can take any positive integer value.The statement "They are always skewed to the right" is generally true. Chi-square distributions tend to be skewed to the right, especially when the degrees of freedom are small.In summary, the statement that is not true about chi-square distributions is that the mean decreases as the degrees of freedom increase.
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Ingrid is planning to expand her business by taking on a new product that costs $6.75. In order to market this new product, $1427.00 must be spent on advertising The suggested retail price for the product is $12 92 Answer each of the following independent questions (a) if a price of $15.30 is chosen, how many units does she need to sell to break even? (b) If advertising is increased to $1690.00, and the price is kept at $12.92, how many units does she need to sell to break even? KIZ (a) If a price of $15.30 is chosen, the number of units she needs to sell to break even is (Round up to the nearest whole number) (b) if advertising is increased to $1690 00, and the price is kept at $12 92, the number of units she needs to sell to break even is (Round up to the nearest whole number)
a) if a price of $15.30 is chosen, the units needed to sell to break even is 167 units.
b) If advertising is increased to $1690.00, and the price is kept at $12.92, the units needed to break even is 274 units.
What is the break even?The break even is the sales units or amount required to equate the total revenue with the total costs (variable and fixed costs).
At the break-even point, there is no profit or loss.
Variable cost per unit = $6.75
Fixed cost (advertising) = $1,427.00
Suggested retail price = $12.92
Chosen price = $15.30
Contribution margin per unit = $8.55 ($15.30 - $6.75)
a) if a price of $15.30 is chosen, the units needed to sell to break even = Fixed cost/Contribution margin per unit
= $1,427/$8.55
= 167 units
b) New fixed cost = $1,690
Contribution margin per unit = $6.17 ($12.92 - $6.75)
If advertising is increased to $1,690.00, and the price is kept at $12.92, the units needed to break even = Fixed cost/Contribution margin per unit
= 274 ($1,690/$6.17)
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The same as in part (a), except for the fixed costs, which are now $1690.00. (1690 + 6.75) / 12.92 = 1250
(a) If a price of $15.30 is chosen, the number of units she needs to sell to break even is 522 (rounded up to the nearest whole number).
To break even, the total revenue must equal the total costs. The total revenue is equal to the number of units sold times the price per unit. The total costs are equal to the fixed costs, which are the advertising costs, plus the variable costs, which are the cost per unit.
The number of units she needs to sell to break even is:
(fixed costs + variable costs) / (price per unit)
Substituting the values gives:
(1427 + 6.75) / 15.30 = 522
(b) If advertising is increased to $1690.00, and the price is kept at $12.92, the number of units she needs to sell to break even is 1250 (rounded up to the nearest whole number).
The calculation is the same as in part (a), except for the fixed costs, which are now $1690.00.
(1690 + 6.75) / 12.92 = 1250
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which of the contexts below could be modeled by a linear function? the amount of a certain medication in a person's bloodstream decreases by 1/3 every week. a town's population shrinks at a rate of 2.2% every year. a certain population of 4 aggressive zombies quintuples every hour. snow was falling at a rate of 2 inches per hour.
The context that could be modeled by a linear function is "snow was falling at a rate of 2 inches per hour."
What is function?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, a function takes an input and produces a corresponding output. It is often represented as a mathematical equation or a graph. Functions are used to model real-world phenomena and are an important tool in many areas of mathematics, science, and engineering.
Here,
A linear function describes a constant rate of change, and in this context, the rate of snowfall is constant at 2 inches per hour. The other contexts involve exponential or percentage change, which cannot be modeled by a linear function.
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a. What is an equation of the circle for a circular irrigation field that has radius 12 and center (7,-10) ?
The equation of the circle for a circular irrigation field with radius 12 and center at (7 , -10) is (x - 7)^2 + (y + 10)^2 = 144.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circular irrigation field, substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (7 , -10)
r = 12
(x - 7)^2 + (y - -10)^2 = 12^2
(x - 7)^2 + (y + 10)^2 = 144
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Pls help! I need to submit this ASAP.
Find the Value:
Answer:
343
Step-by-step explanation:
Since you are multiplying exponents with the same bases, you can combine them (you just add the exponents up).
So 7^2*7^5*7^4/7^3*7^4*7^2
simplify
7^11/7^8 = 7^3 = 343
(when dividing exponents with the same base, you subtract the exponent).
Answer:
1,977,326,743 / 5,764,801 or 1,977,326,743 over 5,764,801
Step-by-step explanation:
7^1 is 7
7^2 is 7 x 7
7 x 7 = 49
7^3 is 7 x 7 x 7
7 x 7 x 7 = 343
7^4 iS 7 x 7 x 7 X 7
7 x 7 x 7 x 7 = 2,401
7^5 is 7 x 7 x 7 x 7 x 7
7 x 7 x 7 x 7 x 7 = 16,807
top row:
49 x 16,807 x 2,401 = 1,977,326,743
bottom row:
343 x 2,401 x 7 = 5,764,801
The Fraction:
1,977,326,743/5,764,801
i hope this helps
please help me answer this in variable terms and constant terms -5.6x + 7 + 24y - 9
Answer:
Variable terms:
x and y
Constant terms:
7 and -9
Coefficient terms:
-5.6 and 24
which numbers below represents a repeating decimal?
Answer:
3/9
Step-by-step explanation:
3/9 = 0.33333333
0.333333
is a reeating decimal
Can someone draw the right answer
Answer:
the coordinates are(5,2)
ratio analysis can be made more meaningful in all the following ways except by?
Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.
Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.
In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.
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The full question:
ratio analysis can be made more meaningful in all the following ways except by?
Suppose the derivative of function f is
f'(x) =(x+1)^2(x-3)^5(x-6)^4
On what interval is f increasing?
The function f is increasing on the interval (6, ∞).
The function f will be increasing in the intervals where f'(x) > 0.
To find these intervals, we can examine the sign of each factor of f'(x), which is (x + 1)²(x - 3)⁵(x - 6)⁴.
We can analyze the sign of f(x) by considering the factors individually:
(x+1)²: This factor is always positive since it is the square of a real number.
(x - 3)⁵: This factor is positive when x>3 and negative when x< 3.
(x - 6)⁴: This factor is positive when x>6 and negative when x< 6.
We need to consider the overlapping regions of positivity for each factor.
When x>6, all three factors are positive, so f ′ (x) is positive.
When 3<x<6: In this interval, the factor (x+1)² is positive, but both (x−3)⁵ and (x−6)⁴ are negative.
Thus, f ′ (x) is negative.
When x<−1: In this interval, (x+1)² is negative, while (x−3)⁵ and (x−6)⁴ are positive.
Hence, f ′ (x) is negative.
Therefore, the function f(x) is increasing on the interval x>6.
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Please help! The answer isn’t 36!
Find the value of the expression:
Answer:
3.6
Step-by-step explanation:
Hi there!
We are given this expression:
.6√36 (.6*√36)
And we want to find the value of it
.6 can be re-written as 0.6
In that case,
0.6*√36
First, simplify what's under the radical: √36, which is equal to 6 (6*6=36)
The expression then becomes:
0.6*6
Multiply those numbers together
0.6*6=3.6
Hope this helps!
help please thank you!
Step-by-step explanation:
Apply Quotient of Powers:
\( \frac{ {9}^{9} }{ {9}^{3} } = {9}^{9 - 3} = 9 {}^{6} \)
The 2nd question is the first option
The 3rd question is the third option
Answer:
1st one: 9^6
2nd one: m^3
3rd one :a^3b^5
(im not entirely sure about the second one)
Please help me on 4 and 5
Answer:
there is nothing there
Step-by-step explanation:
Answer:
what's the question ?
.
.
.
U6W3 A1.1.1.5.1 Mastery Check Polynomial Operations April 25 Perform the following operation with the polynomial and pick the correct answer:
(2x-3)(2x+3)
A 4x^2 + 12x - 9
B 4x^2-9
C 4x + 12
d 4x+9
give me an answer asap
The correct answer of the operation is option B: 4x^2 - 9.
To perform the operation (2x-3)(2x+3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's go through the steps:
First: Multiply the first terms of each binomial.
(2x)(2x) = 4x^2
Outer: Multiply the outer terms of each binomial.
(2x)(3) = 6x
Inner: Multiply the inner terms of each binomial.
(-3)(2x) = -6x
Last: Multiply the last terms of each binomial.
(-3)(3) = -9
A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant, a binomial is an expression that has two unlike terms connected through an addition or subtraction operator in between.
Now, let's combine the like terms:
4x^2 + 6x - 6x - 9
Notice that the terms 6x and -6x cancel each other out.
Simplifying further, we have:
4x^2 - 9
The correct answer is option B: 4x^2 - 9.
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Jack and Cameron are riding their bikes. Jack bikes 1/6 mile. Cameron bikes 12 times as far as Jack. How far did Cameron bike?
Answer:
2 miles
Step-by-step explanation:
1/6 × 12 = 2
You can work it as fractions to understand better
1 over 6 × 12 over 1. It's the same as 12÷6
What is the formula for the indicated variables? A-lw wh + lh, for w
Hello there. To solve this question, we have to remember some properties about solving equations for a variable.
Given the following equation:
\(A=lw+wh+lh\)We want to solve it for w.
First, notice we can group some factors
\(A=w\cdot(l+h)+lh\)Subtract lh on both sides of the equation
\(A-lh=w\cdot(l+h)\)Assuming l + h is not equal to zero, divide both sides of the equation by this factor
\(w=\dfrac{A-lh}{l+h}\)This is the answer to this question.