Answer: -9/5 or -1 4/5
Step-by-step explanation:
11= -5x+2
subtract 2 on each sides
9 = -5x
divide by 5
9/5=-x
so x = -9/5 or -1 4/5
A company made 700000 profit last year. It says this was 12percent more than the year before. What was the profit made the year before
Answer:
784000
Step-by-step explanation:
Given data
Profit = 700000
Let us begin by finding what 12% of 700000 is
=12/100* 700000
=0.12* 700000
=84000
Hence the profit made last years was
=84000+700000
=784000
Let us also recall that it took the bus 36 s to cover 400 m, that the student was 200 m ahead of the bus, and it took the student 1.70 s to accelerate.
(a) What is the distance covered by the bus, from the moment the student starts chasing it and till the moment when the bus passes by the stop? You can use either equations or the v(t) graph. Give your answer in meters.
(b) What is the distance covered by the students in these 36 s (from the beginning of her race and till the bus passes by the stop)? You can use either equations or the v(t) graph. Give your answer in meters.
(c) Hence, by how much does the student miss the bus? Give the answer in meters. Use your answers from parts (a) and (b)
(c) The student misses the bus by the difference between the total distances covered by the bus and the student.
(a) To determine the distance covered by the bus from the moment the student starts chasing it until the moment the bus passes by the stop, we need to consider the relative motion between the bus and the student. Let's break down the problem into two parts:
1. Acceleration phase of the student:
During this phase, the student accelerates until reaching the bus's velocity. The initial velocity of the student is zero, and the final velocity is the velocity of the bus. The time taken by the student to accelerate is given as 1.70 s.
Using the equation of motion:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can calculate the acceleration of the student:
a = (v - u) / t
= (0 -\(v_{bus}\)) / 1.70
Since the student starts 200 m ahead of the bus, we can use the following kinematic equation to find the distance covered during the acceleration phase:
s = ut + (1/2)at^2
Substituting the values:
\(s_{acceleration}\) = (0)(1.70) + (1/2)(-\(v_{bu}\)s/1.70)(1.70)^2
= (-\(v_{bus}\)/1.70)(1.70^2)/2
= -\(v_{bus}\)(1.70)/2
2. Constant velocity phase of the student:
Once the student reaches the velocity of the bus, both the bus and the student will cover the remaining distance together. The time taken by the bus to cover the remaining distance of 200 m is given as 36 s - 1.70 s = 34.30 s.
The distance covered by the bus during this time is simply:
\(s_{constant}_{velocity} = v_{bus}\) * (34.30)
Therefore, the total distance covered by the bus is:
Total distance = s_acceleration + s_constant_velocity
= -v_bus(1.70)/2 + v_bus(34.30)
Since the distance covered cannot be negative, we take the magnitude of the total distance covered by the bus.
(b) To determine the distance covered by the student during the 36 s, we consider the acceleration phase and the constant velocity phase.
1. Acceleration phase of the student:
Using the equation of motion:
s = ut + (1/2)at^2
Substituting the values:
\(s_{acceleration}\) = (0)(1.70) + (1/2\(){(a_student)}(1.70)^2\)
2. Constant velocity phase of the student:
During this phase, the student maintains a constant velocity equal to that of the bus. The time taken for this phase is 34.30 s.
The distance covered by the student during this time is:
\(s_{constant}_{velocity} = v_{bus}\) * (34.30)
Therefore, the total distance covered by the student is:
Total distance =\(s_{acceleration} + s_{constant}_{velocity}\)
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The length and width of a rectangle is 8 units and 4 units respectively. Find the area of the rectangle.
Answer:
32units
Step-by-step Explanation :
Area of rectangle = length × Width
x = 8 × 4
x = 32
Given,
• Length = 8 units
• Width= 4 units
Formula :-
★ Area of Rectangle = Length × Width
Now, Solve :
Area = 8 x 4 = > 32 square units
★ Hence, Area of Rectangle is 32 units.
\(\huge\red{✎﹏﹏﹏﹏﹏﹏﹏}\)find an interval, of length 1 and having integer endpoints, on which the function has a root.
In summary, to find an interval of length 1 and having integer endpoints on which the function has a root, we can use a trial-and-error method to identify intervals that satisfy the given criteria. The choice of interval may depend on the specific function and there may be multiple intervals that satisfy these conditions.
To find an interval on which the function has a root, we need to consider the function's behavior and identify any potential zero crossings. An interval of length 1 with integer endpoints can be represented as [a, a+1] where a is an integer.
One approach to finding a root is to plot the function and visually identify where it crosses the x-axis. Another approach is to use algebra and solve for when the function equals zero. However, without knowing the specific function, we cannot use these methods.
Instead, we can use a trial-and-error method to identify an interval that satisfies the given criteria. For example, we can start by choosing an integer a and evaluating the function at a and a+1. If the function has opposite signs at these two endpoints, then by the Intermediate Value Theorem, the function must have at least one root in the interval [a, a+1].
We can continue this process until we find an interval that satisfies the given criteria. Note that there may be multiple intervals that satisfy these conditions, and the choice of interval may depend on the specific function.
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A 60$ purse is on sale for 10% give the sell price
Answer:$54
Step-by-step explanation:
60(0.9) = $54
answer:
$54
step-by-step explanation:
sale means a decrease from the original amountsince there is a sale of 10%, we would multiply by 90% since we are trying to find the sale price60 X 90% - - > 60 X 0.90
you can convert 90% into 0.90 so it is easier to multiply60 X 0.90 = 54
= $54
Four friends each have some marbles. They work out that the mean number of marbles they have is 10. One friend leaves with 4 marbles. How many marbles do the remaining friends have together?
The remaining friends will have a total of 26 marbles together.
1. Let's assume the initial number of marbles each friend has as A, B, C, and D.
2. Since the mean number of marbles is 10, the sum of marbles the four friends have together is 10 x 4 = 40.
3. If one friend leaves with 4 marbles, the total number of marbles remaining with the other three friends is 40 - 4 = 36.
4. To find the number of marbles the remaining friends have together, we divide 36 by 3 (the number of remaining friends), resulting in 12.
5. Therefore, the remaining friends will have a total of 12 marbles together.
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Divide. Reduce the answer to lowest terms.
3/8 divided by 1/7
Answer:
\(2\frac{5}{8}\), or \(\frac{21}{8}\)
Explanation:
Use the Keep Change Flip method. Change the sign to multiplication and flip the second fraction. \(\frac{3}{8}\) × \(\frac{7}{1}\)
Multiply the numerators and the denominators separatley. \(\frac{3}{8}\)×\(\frac{7}{1}\\\)=\(\frac{21}{8}\)
This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction). \(\frac{21}{8} =2\frac{5}{8}\)
Match the vocabulary word with the correct definition.
polygon -- a closed figure made up of line segments
regular polygon -- a polygon whose sides are all the same length & whose angles are all the same measure
octagon -- a polygon with eight side
pentagon -- a polygon with five sides
quadrilateral -- a polygon with four sides
what is the answer to 6x+18+8x=180?
Answer:
=81/7
Step-by-step explanation:
Simplifying
6X + 18 + 8x + -2 = 180
Reorder the terms:
18 + -2 + 6X + 8x = 180
Combine like terms: 18 + -2 = 16
16 + 6X + 8x = 180
Solving
16 + 6X + 8x = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + 6X + -16 + 8x = 180 + -16
Reorder the terms:
16 + -16 + 6X + 8x = 180 + -16
Combine like terms: 16 + -16 = 0
0 + 6X + 8x = 180 + -16
6X + 8x = 180 + -16
Combine like terms: 180 + -16 = 164
6X + 8x = 164
Add '-8x' to each side of the equation.
6X + 8x + -8x = 164 + -8x
Combine like terms: 8x + -8x = 0
6X + 0 = 164 + -8x
6X = 164 + -8x
Divide each side by '6'.
X = 27.33333333 + -1.333333333x
Simplifying
X = 27.33333333 + -1.333333333x
my school's math club has $6$ boys and $8$ girls. i need to select a team to send to the state math competition. we want $6$ people on the team. in how many ways can i select the team without restrictions?
The number of ways to select a team of 6 people without restrictions is equal to 2002.
We can use the combination formula:
\($\binom{n}{r} = \frac{n!}{r!(n-r)!}$\)
where \($n$\) is the total number of members (boys plus girls) and \($r$\) is the number of people we want to select (in this case, 6).
So, \($\binom{14}{6} = \frac{14!}{6!(14-6)!} = \frac{14!}{6!8!} = 2002$.\)
Therefore, there are 2002 ways to select a team of 6 people from a total of 14 members without restrictions.
The number of ways to select a team of 6 people without restrictions is equal to 2002.
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The angles in a triangle are in the ratio 2 : 3:7.
Work out the size of the angles in the triangle.
Answer:
30°, 45° and 105°
Step-by-step explanation:
2 + 3 + 7 = 12 parts
180/12 = 15 degrees each part
First angle (2 parts)
2(15) = 30°
Second angle (3 parts)
3(15) = 45°
Third angle (7 parts)
7(15) = 105°
Hope this helps
Please answer this in two minutes
Answer:
x = 5.7 units
Step-by-step explanation:
By applying Sine rule is the triangle XYZ,
\(\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}\)
\(\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}\)
\(\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}\)
\(\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}\)
\(x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}\)
x = 5.69
x ≈ 5.7 units
At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "20% chance of winning!" What is the chance that a player may not win?
40%
50%
80%
90%
Answer:
80 %
Step-by-step explanation:
100 % - 20 % = 80 %
Answer:
yea i took the test its 80%
Step-by-step explanation:
please help!!
the rubric says to
discuss dashed vs solid line
discuss where to shade
discuss how to identify the solution
The graph is a solid line and requires no shading, the solution is the point of intersection
How to identify solid or dashed lineThere are some points that help in interpreting inequality graphs.
The equation must first be set up in the manner, with y acting as the subject of the formula and to the left.
Solid or dashed lines.
Solid lines indicate that there is equality in the inequality, while dashed lines indicate that less than or greater than no "equal to"
This equation has only equal to hence no dashed lines
The shaded area is another component.
greater than and less than are defined by shading above and below the line, respectively.
This equation has only equal to hence no shading is required
The point of intersection is the solution of the graph
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The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in 1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials.
Waste materials
1960
1970
1980
1988
Glass
0.20
0.34
0.36
0.28
Plastics
0.01
0.08
0.19
0.32
Metals
0.32
0.38
0.35
0.34
Paper
0.91
1.19
1.32
1.60
For glass, calculate the average rate of change between 1970 and 1980. Then interpret what this value means.
a.
From 1970 to 1980, the number of pounds of glass per person per day decreased by 0.002 per year.
c.
From 1970 to 1980, the number of pounds of glass per person per day increased by 0.002 per year.
b.
From 1970 to 1980, the number of pounds of glass per person per day decreased by 0.11 per year.
d.
From 1970 to 1980, the number of pounds of glass per person per day increased by 0.11 per year.
The correct option regarding the average rate of change for glass is given by:
c. From 1970 to 1980, the number of pounds of glass per person per day increased by 0.002 per year.
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
Looking at the table, in the 10 years from 1970 to 1980, the amount of glass changed from 0.34 pounds to 0.36 pounds, hence the rate is given by:
r = (0.36 - 0.34)/10 = 0.02/10 = 0.002.
Which means that option c is correct.
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Answer:Option C
Step-by-step explanation: Just simplifying the other guys answer
Which of the following describes the end behavior of the function below?
It is an odd-degree polynomial. Therefore...
As the coefficient is negative for x^9.
When x < 0 or x approaches negative infinity, y or f(x) will approach positive infinity.
When x approaches positive infinity, y or f(x) will approach negative infinity.
So it is the second and the third.
As \(x \to \infty, \ f(x) \to -\infty\)
As \(x \to -\infty, \ f(x) \to \infty\)
==================================================
Explanation:
The degree of this polynomial is the largest exponent. In this case, the degree is 9.
The degree being an odd number means that the end behavior has one end going up and the other end going down. The ends go in opposite directions.
As we move to the right, the curve goes downhill. We can say the curve "falls to the right". This is due to the fact that the leading coefficient is negative.
On the flip side, as we move to the left, the curve goes uphill. We can say the curve "rises to the left".
The graph below indicates these features. In this case, I chose b = 1 and c = 1. It turns out these values do not affect the answers mentioned at the top. The end behavior will be the same for any real numbers b and c. This is because the leading term -x^9 dictates entirely what the end behavior will be.
How do you do multiple long?
Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.
supporting answer:
what is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
body of the answer:
let us understand long multiplication by taking an example
Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.Multiply the top number's one digit by the bottom number's one digit.Put a 0 below the ones digit,Multiply the top number's ones digit by the bottom number's tens digit.Multiply the top number's tens digit by the bottom number's tens digit.6.Add the two partial products
final answer: by following above steps we can perform long multiplication
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Long multiplication is a method of multiplying two difficult-to-multiply numbers.
What is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
Let us understand long multiplication by taking an example
1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.
2. Multiply the top number's one digit by the bottom number's one digit.
3. Put a 0 below the one's digit,
4. Multiply the top number's ones digit by the bottom number's tens digit.
5. Multiply the top number's tens digit by the bottom number's tens digit.
6. Add the two partial products
By following the above steps we can perform long multiplication
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Stevens high school has 800 students every Wednesday 3% of the students stay after for chess club how many students attend chess club on Wednesdays
Answer: To find out how many students attend chess club on Wednesdays, we need to calculate 3% of the 800 students at Steven's high school. To do this, we multiply the number of students by 3% (which is equivalent to 0.03):
800 x 0.03 = 24
So, 24 students attend chess club on Wednesdays.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Lines BC and DE are both vertical.
What is the length of AD?
Answer:
The answer is 6
Learning Task 3 . Find the equation of the line. Do it in your notebook.
(a) In slope intercept form y = mx + b
(b) in standard form ax + by = c
1. The slope is 5 passing through (-1, 4).
2. The line passes through point (3, -4) and (-2, 2)
3. The slope is 3/4 and the y-intercept is (0,4)
4. The x intercept -3 and the y-intercept is 6
5. Passing through the points (-1, -2) and (5, 3)
Answer:
Step-by-step explanation:
1. The slope is 5 passing through (-1, 4).
y=mx+b
y=5x+b [slope is 5]
4 = 5(-1) + b [Find b by solving for b with the given point]
b = 9
y=5x+9
2. The line passes through point (3, -4) and (-2, 2)
Calculate slope from the "rise" over the "run."
Rise = (-4 - 2) = -6
Run = (3-(-2)) = 5
Slope - Rise/Run = -6/5 or -1.2
y = -1.2x + b
Use either given point to find b.
y = -1.2x + b for (3,-4)
-4 = -1.2(3) + b
-4 = -3.6 + b
b = -0.4
y = -1.2x - 0.4
3. The slope is 3/4 and the y-intercept is (0,4)
y = mx + b
y = (3/4)x + b
The y-intercept is 4: b = 4
y = (3/4)x + 4
4. The x intercept -3 and the y-intercept is 6
The x-intercept can be written as (-3,0) and the y-intercept as (0,6).
Calculate the slope between these two points (Rise/Run). Rise= (6-0), or 6, Run= (0-(-3)), or 3. Rise/Run (Slope) = 6/3 or 2
y = 2x + b b = 6 (y-intercept is (0,6)
y = 2x + 6
5. Passing through the points (-1, -2) and (5, 3)
y = mx + b
Slope: Rise = (3-(-2)) = 5, Run = (5-(-1))= 6 Slope = Rise/Run Slope = (5/6)
y = (5/6)x + b
Calculate b:
y = (5/6)x + b for (-1,-2)
b = y-(5/6)x
b =-2-(5/6)*(-1)
b = -2 + (5/6)
b = (-12/6) + (5/6) = -(7/6)
y = (5/6)x - (7/6)
====
For each problem, rearrange the solution to the standard form ax + by = c
1. y=5x+9
-5x + y = 9
2. y = -1.2x - 0.4
1.2x + y = -0.4
3. y = (3/4)x + 4
-(3/4)x + y = 5
4. y = 2x + 6
-2x + y = 6
5. y = (5/6)x - (7/6)
-(5/6)x + y = -(7/6)
helppppppppppp i will make as brainliset
Answer:
3
Step-by-step explanation:
15.839 rounded to the nearest hundredths place would be 15.83.
Answer:
4
Step-by-step explanation:
If rounded to the nearest hundredth of a second, you would get 15.84, as you round up if the last number is 5 or above.
A pair of adjacent angles, whose non-common sides are opposite rays, is known a. (a) adjacent pair. (b) alternate pair. (c) linear pair. (d) common pair.
The linear pair is the correct answer for a pair of adjacent angles whose opposite rays form their non-common sides.
What is a linear pair?When two lines meet at a single point, a pair of linear angles is formed. If the angles at the intersection of the two lines are next to one another, they are said to be linear. The total of the angles in a linear pair is always 180°.Meanwhile, the linear pair is not the only pair of angles. The other pairs are: complementary, supplementary, linear pair, vertically opposite, alternate interior, alternate exterior, corresponding, and adjacent angles.Learn more about the linear pair:
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What is the segment 7x+5=8
Step-by-step explanation:
7x - 5 = 8
7x = 8 + 5
7x = 13 (divide both sides by 7 to get x)
7x/7 = 13/7
x = 1.85714285714
A bakery is making whole-wheat bread and apple bran muffins. for each batch of break they make $35 profit. for each batch of muffins, they make $10 profit. the break takes 4 hours to prepare and 1 hour to back. the muffins take 0.5 hours to prepare and 0.5 hours to bake. the maximum preparation time available is 16 hours. the maximum bake time available is 10 hours. let x =
The number of batches of muffins and bread to be made in order to maximize the profits is 16 and 2.
Considering the x to be the number of batches of bread and y be the number of batches of muffins.
In the problem, it is mentioned that the preparation of both the bread and muffin takes 4 hours and 0.5 hours since the maximum preparation time is 16 altogether
The inequality equation for it will be \(4x+0.5y\leq 16\)
For baking the bread and muffin it takes 1 hour and 0.5 hours, the maximum baking time all together is 10
The inequality equation for it will be \(x+0.5y\leq 10\)
The profit got from one batch of bread if 35 $ and from one batch of muffins is 10$
f(x,y)= 35x+ 10y
for f(0,0)= 0, f(0,20)= 200, f(2,16)= 230 , f(4,0) =140
So it requires 2 batches of bread and 16 batches of muffins.
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A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. What constraints can be used to find the number of batches of bread and muffins that should be made to maximize profits?
John's son will start college in 10 years. John estimated a today's value of funds to finance college education of his son as $196,000. Assume that after-tax rate of return that John is able to earn from his investment is 8.65 percent compounded annually. He does not have this required amount now. Instead, he is going to invest equal amounts each year at the beginning of the year until his son starts college. Compute the annual beginning of-the-year payment that is necessary to fund the estimation of college costs. (Please use annual compounding, not simplifying average calculations).
John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.
To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.
The present value of an annuity formula is given by:
P = A * [(1 - (1 + r)^(-n)) / r],
where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.
In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:
196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].
Simplifying the expression inside the brackets:
196,000 = A * (1 - 0.469091).
196,000 = A * 0.530909.
Dividing both sides by 0.530909:
A = 196,000 / 0.530909.
A ≈ 369,238.68.
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Mrs. Feiner gets 80% right on a quiz with 20 questions.
How many questions does she get right?
A. 15
B. 16
c. 18
D.19
16 answer correct
80×20
_______. =16
100
Brainliest
help me please !!!!!
The distance between these two animals is
3850
The circle below represents one whole.
What percent is represented by the shaded area?
Answer:
it would be 50 in the khan academy quiz you are in.
if this helped you mark brainliest to me.
You spend $56 dollars on food and beverages. You spent $18 more on food than on beverages,
How much did yo spend on beverages?
How much did you spend on food?
What is the main purpose of Business sustainability 2. Research and discuss the role of environmental management in sustainable business development 3. Discuss on the pillars of sustainability development 4. Research and discuss The Role of Stakeholder Analysis for Sustainable Development: Experiences from Rubber Cultivation in Southwest China
The main purpose of business sustainability is to achieve long-term success by balancing economic, social, and environmental concerns. It involves integrating sustainable practices into business strategies to create positive impacts on the environment, society, and stakeholders while ensuring profitability and resilience.
Environmental management plays a crucial role in sustainable business development. It involves identifying and managing environmental risks, implementing eco-friendly practices, reducing resource consumption, minimizing waste generation, and promoting environmental stewardship. By incorporating environmental management into their operations, businesses can enhance their sustainability performance, comply with regulations, improve brand reputation, and contribute to a healthier planet.
Stakeholder analysis plays a vital role in sustainable development, particularly in the context of specific industries or sectors. In the case of rubber cultivation in Southwest China, stakeholder analysis helps identify and understand the diverse stakeholders involved, such as rubber farmers, local communities, government agencies, environmental organizations, and consumers. By analyzing stakeholders' interests, concerns, and power dynamics, sustainable development initiatives can be tailored to address their needs effectively. Stakeholder engagement and collaboration are crucial for promoting sustainable practices, ensuring social acceptance, mitigating conflicts, and achieving sustainable outcomes in rubber cultivation and other industries.
Environmental management plays a vital role in sustainable business development. It involves assessing and managing environmental risks, implementing eco-friendly practices, complying with environmental regulations, and monitoring environmental performance. By adopting sustainable production processes, minimizing resource consumption, reducing emissions and waste generation, and promoting environmental stewardship, businesses can enhance their environmental performance. Effective environmental management not only benefits the environment but also leads to cost savings, improved efficiency, enhanced brand reputation, and reduced regulatory risks.
The pillars of sustainable development provide a framework for addressing the interconnectedness of economic, social, and environmental aspects. The economic pillar emphasizes the need for sustainable economic growth, productivity, and innovation while ensuring equitable distribution of resources. The social pillar highlights the importance of social well-being, equality, human rights, and inclusivity. The environmental pillar recognizes the significance of environmental conservation, resource efficiency, pollution prevention, and climate change mitigation. These pillars are interdependent, and progress in one pillar can influence the others. Sustainable development requires a balanced and integrated approach that considers all three dimensions.
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