Answers
Answer:
m∠P = 116°
m∠Q = 21°
m∠R = 43°
Step-by-step explanation:
To solve, remember that the sum of all angles in any triangle is 180°. So, m∠P+m∠Q+m∠R=180°.
The problem states:
m∠P = (5x-14)°
m∠Q = (x-5)°
m∠R = (2x-9)°
So, for this problem,
\((5x-14)+(x-5)+(2x-9)=180\\5x+x+2x-14-5-9=180\\8x-28=180\\8x-28+28=180+28\\8x=208\\(\frac{1}{8})8x=208(\frac{1}{8})\\x=26\)
Use this value of x and the given conditions to find each angle measure:
m∠P = [5(26)-14]° = 116°
m∠Q = [(26)-5]° = 21°
m∠R = [2(26)-9]° = 43°
To check:
116°+21°+43°=180°
180°=180°
Related Questions
Help please don’t troll I beg
Answers
The values of the dependent variable associated to corresponding linear equations are listed below:
x = - 12x = 13 / 2How to find the values associated to the results of a linear function
Herein we find two cases of linear equations in slope-intercept form, in which we need to clear the independent variable (x) associated to given values in the dependent variable (y). The equation of the line in slope-intercept form is described below:
y = m · x + b
Where:
m - Slopeb - InterceptBy algebra properties, the value of the independent variable can be defined by the following expression:
x = (y - b) / m
Now we proceed to determine the values of x:
Case 1: y = - x - 14, y = - 2
x = (- 2 + 14) / (- 1)
x = - 12
Case 2: y = - (3 / 2) · x - 9, y = - 48
x = (- 48 + 9) / (- 3 / 2)
x = - 39 / (- 3 / 2)
x = 13 / 2
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Can u guys help me with this question!! :)
Answers
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2
name the property of real numbers illustrated by each equation
Answers
The property of real numbers illustrated by each equation depends on the specific equation. However, some common properties of real numbers include the commutative property, associative property, distributive property, identity property, and inverse property.
The property of real numbers illustrated by each equation depends on the specific equation. However, there are several properties of real numbers that can be applied to equations:
commutative property: This property states that the order of addition or multiplication does not affect the result. For example, a + b = b + a and a * b = b * a.associative property: This property states that the grouping of numbers in addition or multiplication does not affect the result. For example, (a + b) + c = a + (b + c) and (a * b) * c = a * (b * c).distributive property: This property states that multiplication distributes over addition. For example, a * (b + c) = (a * b) + (a * c).identity property: This property states that there exist unique elements called identity elements for addition and multiplication. For addition, the identity element is 0, and for multiplication, the identity element is 1. For example, a + 0 = a and a * 1 = a.inverse property: This property states that every real number has an additive inverse and a multiplicative inverse. The additive inverse of a number a is -a, and the multiplicative inverse of a non-zero number a is 1/a. For example, a + (-a) = 0 and a * (1/a) = 1.Learn more:About property of real numbers here:
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Use synthetic division to find the quotient and remainder when x³ + 9x² + 12x - 5 is divided by x+7 by completing the parts below.
(a) Complete this synthetic division table.
-7)
19 12 -5
000
OOOO
(b) Write your answer in the following form: Quotient +
3
x³ + 9x² +
+ 9x + 12x-5
x+7
=
x+7
Remainder
x+7
X
Answers
The division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75
What is synthetic division ?
Synthetic division is a simplified method of polynomial division that can be used to divide a polynomial by a linear binomial. It's used to find the quotient and remainder of a polynomial division without having to perform long division.
In synthetic division, the coefficients of the polynomial are arranged in a table along with the coefficients of the divisor, and then divided and multiplied using the same rules as in long division. The remainder of the division is the last entry in the table, and the quotient is the polynomial whose coefficients are the entries in the table, excluding the remainder.
To perform synthetic division, we divide x³ + 9x² + 12x - 5 by x + 7 by dividing each coefficient by x + 7 and then writing the result in a table with the dividend on top and the divisor on the bottom. Here's what the table would look like:
+ 7 | 1 9 12 -5
-------------------
x^3 | x^3 9 12 -5
x^2 | x^2 +7x 3 -35
x | x +7 10 -70
-------------------
10 43 -75
The quotient of the division is x² + 7x + 10, and the remainder is -75.
Therefore, the division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75
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(the cube root of 125 − 14 ÷ 2)(3 − 5)2 step by step
Answers
Answer:
18
Step-by-step explanation:
\( \sf( \frac{ ∛125 \: - \: 14 }{2})(3 - 5)2\)
Apply rule: (\( a\)) = \( a\)
\( \sf( \frac{ ∛125 \: - \: 14 }{2}) = \: \sf\frac{ ∛125 \: - \: 14 }{2}\)
\( = \sf \frac{∛125 \: - \: 14 }{2}(3 - 5)2\)
Substract the numbers (3-5) = (-2)
\( = \sf \frac{∛125 \: - \: 14 }{2}( - 2)2\)
Change 2 to fraction: \( \sf \frac{2}{1} \)
\( = \sf \frac{∛125 \: - \: 14 }{2} \times \frac{2}{1} ( - 2)\)
Cross- cancel common factor 2
\( = \sf \frac{∛125 \: - \: 14 }{1} ( - 2)\)
Let's calculate \( \sf \frac{∛125 \: - \: 14 }{1} \)
\( = \sf \frac{∛125 \: - \: 14 }{1} \)
Apply a fraction rule = a/1 = a
\( = \sf ∛125 \: - \: 14 \)
\( \sf = - 9\)
\( \sf \: = - 9( - 2)\)
\( \sf \: = 18\)
Please explain steps and formulas used.
Trader Bubba Industries must choose between solar and an electric-powered forklift truck for moving materials in its factory. Because both forklifts perform the same function, the firm will choose only one. (They are mutually exclusive investments.) The solar truck will cost more, but it will be less expensive to operate; it will cost $30,000, whereas the electric-powered truck will cost $20,000. The life for both types of truck is estimated to be 8 years, during which time the net cash flows for the solar-powered truck will be $8,000 per year and those for the electric-powered truck will be $5,000 per year. Trader Bubba Industries' assets are $400 million, financed through bank loans, bonds, preferred stocks, and common stocks. The amounts are as follows: Bank loans: $50 million borrowed at 3% Bonds: $200 million, paying 4% coupon with semi-annual payments, and maturity of 10 years. Trader Bubba sold its $1,000 par-value bonds for $1020 and had to incur $20 flotation cost per bond. Preferred Stocks: $100 million, paying $15 dividends per share. Trader Bubba sold its preferred shares for $220 and had to incur $20 per share flotation cost. Common Stocks: $50 million, beta is 2, the risk-free rate is 2percent, and the market rate is 6%. Tax rate: 40 percent Please answer the following questions using the information above. Don't forget to show all your work. a) What is the after-tax cost of the loans? b) What is the after-tax cost of the bonds? c) What is the after-tax cost of the preferred stocks? d) What is the after-tax cost of the common stocks? e) Calculate the weighted average cost of capital (WACC). Please show your work precisely by indicating each component and weight. f) Calculate the NPV and IRR for each type of truck and decide which to recommend. (Use the cost of capital you found in "e" when calculating the NPV and IRR)
Answers
Trader Bubba Industries should recommend buying the solar truck as it has a higher NPV than the electric-powered truck.
a) After-tax cost of the loans
The cost of the loan is given as $50 million borrowed at 3%. The tax rate is 40%.
Formula to calculate the after-tax cost of debt: After-tax cost of debt = cost of debt * (1 - tax rate)
After-tax cost of the loan = 3% * (1 - 0.4) = 1.8%
b) After-tax cost of the bonds
The cost of the bonds is given as $200 million, paying 4% coupon with semi-annual payments, and maturity of 10 years. Trader Bubba sold its $1,000 par-value bonds for $1020 and had to incur $20 flotation cost per bond. The tax rate is 40%.
Formula to calculate the after-tax cost of debt: After-tax cost of debt = cost of debt * (1 - tax rate) * (1 - flotation cost) / (1 - tax rate)
After-tax cost of bonds = 4% * (1 - 0.4) * (1 - 0.02) / (1 - 0.4) = 2.424%
c) After-tax cost of the preferred stocks
The cost of preferred stocks is given as $100 million, paying $15 dividends per share. Trader Bubba sold its preferred shares for $220 and had to incur $20 per share flotation cost. The tax rate is 40%.
Formula to calculate the after-tax cost of preferred stocks: After-tax cost of preferred stocks = cost of preferred stocks * (1 - flotation cost / market price) / (1 - tax rate)
After-tax cost of preferred stocks = $15 * (1 - 20 / 220) / (1 - 0.4) = 9.75%
d) After-tax cost of the common stocks
The beta of common stocks is given as 2, the risk-free rate is 2%, and the market rate is 6%. The tax rate is 40%.
Formula to calculate the after-tax cost of common stocks: After-tax cost of common stocks = risk-free rate + beta * (market rate - risk-free rate) * (1 - tax rate)
After-tax cost of common stocks = 2% + 2 * (6% - 2%) * (1 - 0.4) = 5.2%
e) Weighted average cost of capital (WACC)
WACC = w1r1 + w2r2 + w3r3 + w4r4
Where w = weight,
r = cost of capital.
W1 = $50 million / $400 million = 0.125 or 12.5% (weight of loans)
W2 = $200 million / $400 million = 0.5 or 50% (weight of bonds)
W3 = $100 million / $400 million = 0.25 or 25% (weight of preferred stocks)
W4 = $50 million / $400 million = 0.125 or 12.5% (weight of common stocks)
WACC = 0.125 * 1.8% + 0.5 * 2.424% + 0.25 * 9.75% + 0.125 * 5.2% = 3.874%
f) Net Present Value (NPV) and Internal Rate of Return (IRR) for both types of trucks
Formula to calculate NPV: NPV = -Initial Investment + ∑(Net Cash Flows / (1 + r)t)
Where Initial Investment is the cost of the truck,
Net Cash Flows are the cash flows of each year,
r is the discount rate, and
t is the year.
For the solar truck,Initial investment = $30,000
Net Cash Flows per year = $8,000
Discount rate = WACC
NPV = -$30,000 + $8,000 / (1 + 3.874%) + $8,000 / (1 + 3.874%)2 + ... + $8,000 / (1 + 3.874%)8 = $28,845.80IRR = 12.23%
For the electric-powered truck,Initial investment = $20,000
Net Cash Flows per year = $5,000
Discount rate = WACC
NPV = -$20,000 + $5,000 / (1 + 3.874%) + $5,000 / (1 + 3.874%)2 + ... + $5,000 / (1 + 3.874%)8 = $17,716.80IRR = 13.15%
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What is the missing side length in this right triangle? Round the answer to the nearest tenth.
A: 4.7 units
B: 6.6 units
C: 15.6 units
Answers
Answer:
The answer is B. i.e. 6.6units.
There are 35 questions total!! Please answer with an explanation and whoever answers correctly will get BRAINLIEST!!
Answers
Answer:
I think the answer will be weak positive
BRAINLIEST +20 pts!!!!
Given trapezoid ABCD with vertices A(1,2) B(7,5) C(5,7) and D(3,6)
The length of the midsegment in simplest radical form is_________
The equation of the line containing the midsegment is____________
Answers
Answer:
Distance formula: (x1,y1), (x2,y2)
d = √[(x2-x1)2+(y2-y1)2]
d = √[(5-2)2+(4-1)2]
d = √(32+32)
d = √18
d = 3√2
double this distance: The length is 6√2
it's of first one
Step-by-step explanation:
its of second one
The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2. Substituting in the two x coordinates and two y coordinates from the endpoints, we get (–1 + 3)/2
Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.
Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.
Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.
Answers
Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
What is the reference as the equation?In its most basic form, an equation is an assertion that demonstrates that two formulas are equal. 63x + 5 = 14, for example, is an equation wherein 63x + 5 and 14 are two representations separated by a 'equal' sign.For the given question;
Let the pounds of dried chili peppers be 'd'.Let pounds of corn husks be 'h'.Chili peppers cost $16.95 per pound Corn husks cost $6.49 per pound.The equation becomes;
16.95 d + 6.49 h
16.95 (1.5) + 6.49 (3)
25.425 + 19.47
44.895 < $50
Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
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Which graph best describes a system of equations that has no solution
Answers
An animation features an airplane flying in a straight line across the screen from (0, 10) to (45, 160) in 5 seconds. Which parametric equations represent the onscreen path of the airplane?
Answers
Answer:
X(t)= 9t and y(t)= 30t+10
Step-by-step explanation:
Im pretty sure that’s it bc 45/5 is 9 which would be per second how far x is goin up, and 160-10 (the starting point) is 150. 150/5 is 30 so that’s the rate and 10 is the starting point you add to it.
The parametric equations that represents the onscreen path of the airplane are; x(t)= 9t and y(t)= 30t + 10
How to define Parametric Equations?
Correct answer is; x(t)= 9t and y(t)= 30t + 10
Proving the answer;
At t(0,10), x = 0 and y = 10
Thus;
For X-coordinate;
x(0) = 9(0)
x(0) = 0
Similarly;
For y-coordinate;
y(0) = 30(0) + 10
y(0) = 10
That corresponds with the coordinate t(0, 10).
At t = 5 seconds, we have;
For x-coordinate;
x(5) = 9(5)
x(5) = 45
Similalry, for the y-coordinate;
y(5) = 30(5) + 10
y(5) = 160
That corresponds with (45, 160)
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help me out here and show work please
Answers
Answer:
x = 3, x = 15, x = 12, x = 1
Hope this helps :)
Step-by-step explanation:
1.) 4x - 1 = 2x + 5
+1 +1
4x = 2x + 6
-2x -2x
2x = 6
x = 3
2.) 3x - 5 = 2x + 10
+5 +5
3x = 2x + 15
-2x -2x
x = 15
3.) 4x + 2 + 30 = 8 + 6x
4x + 32 = 8 + 6x
-8 -8
4x + 24 = 6x
-4x -4x
24 = 2x
x = 12
4.) 4( x - 1) + 5 = 2x + 3
4x -4 + 5 = 2x + 3
4x + 1 = 2x + 3
-1 -1
4x = 2x + 2
-2x -2x
2x = 2
x = 1
Use the distributive property to write an equivalent expression.
8(69 - 5h + 8)
Submit Answer
Answer:
Answers
Answer:
- 40h + 616
Step-by-step explanation:
8(69 - 5h + 8)
8(69) - 8(5h) + 8(8)
552 - 40h + 64
-40h + 616
PLEASE Please PLEASE HELP LOTS OF POINTS!!!!!!
What is the slope and Y-intercept of this graph?
Answers
Answer:
Well the slope of this is 49 and y intercept is 28, hooe this helped
Answer:
Slope: 2/2 = 1
y-intercept: 2
Step-by-step explanation:
if the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, what is the mean weight of the 11-person team
Answers
If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.
What is the mean?The mean refers to the average of the data value.
The mean can be computed as the quotient of the total value divided by the number of items in the data set.
The mean weight of 4 backfield members on the football team = 211lb
The total weight of the 4 backfield members = 844lb (211 x 4)
mean weight of the 7 other players on the football team = 203lb
The total weight of the 7 other players = 1,421lb (203 x 7)
The total weight of the 11 football team members = 2,265lb (844 + 1,421)
The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)
= 206lb
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PLZ HELP WILL GIVE BRAINLIEST!!!!!!! Write each repeating decimal using bar notation.
. 0.9222….
Answers
Answer:
\(0.9\bar{2}\)
Step-by-step explanation:
since the bar or line over the number means that it is repeated. This is also equivilent to the rational fraction 83/90
please help this is an 8 grade question
Answers
i got -5… idek! i’m sorry!
the given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.
Answers
The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.
The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.
The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.
By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.
Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.
Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.
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Question
The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.
33=10∙q+r cual es el valor de q y r
Answers
Answer:
Q=33/10-r/10 R=33−10q
Step-by-step explanation:
Espero que sea correcto para ti también puedes hacerme más inteligente si es correcto
Given that u= [6/5] and v=[-6/4] find 1/3( u-1/2v)
Answers
Answer:
\(\frac{-7}{10}\ or \ 0.7\)
Step-by-step explanation:
step 1.
\(\frac{1}{3} (\frac{-6}{4}-\frac{1}{2}(\frac{6}{5}))\)
step 2.
put it in a calculator
step 3
=\(\frac{-7}{10}\ or \ 0.7\)
Find the area of the parallelogram.
Answers
The area of the parallelogram is 500 in squared
What is a parallelogram?A parallelogram is a four sided polygon that has opposite sides parallel to each other.
The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
A= bh
From the figure, b = 20 in, h= 25 in
Area = 20*25 = 500 in square
Conclusively, taking into consideration the height of the parallelogram as 25 in and the base as 20 in, the area is given as 500 in square
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Which of the following is not a type of effectiveness MIS metric?
Customer satisfaction
Conversion rates
Financial
Response time
Answers
"Financial" as it is not an effectiveness MIS metric.
To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.
Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.
Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.
Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.
Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.
Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.
In summary, the answer is "Financial" as it is not an effectiveness MIS metric.
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2. (2 points) the central limit theorem. before starting to play the roulette in a casino, you want to look for biases that you can exploit. you therefore watch 100 rounds that result in a number between 1 and 36, and count the number of rounds for which the outcome is odd. if the count exceeds 55, you decide that the roulette is not fair. assuming that the roulette is fair, find an approximation for the probability that you will make the wrong decision.
Answers
The probability of making the wrong decision is approximately 0.0082.
According to the central limit theorem, the distribution of the sample mean of a large number of independent and identically distributed random variables approaches a normal distribution. In this case, the random variable is the number of odd outcomes in 100 rounds of the roulette.
As each outcome has an equal probability of being odd, the distribution of the number of odd outcomes is binomial with parameters n=100 and p=1/2.
Using the mean and variance of a binomial distribution, we have:
mean = np = 100 x 1/2 = 50
variance = np(1-p) = 100 x 1/2 x (1 - 1/2) = 25
The standard deviation of the distribution is the square root of the variance, which is 5. Therefore, the z-score for a count of 55 is:
z = (55 - 50) / 5 = 1
Using a standard normal distribution table or calculator, we find that the probability of a z-score greater than 1 (i.e., a count of 55 or more) is approximately 0.1587. However, we are interested in the probability of making the wrong decision, which is the probability of a count of 55 or more given that the roulette is fair.
This probability is equal to the significance level of the test, which is the probability of rejecting the null hypothesis (fair roulette) when it is actually true.
Assuming a significance level of 0.05, the probability of making a Type I error (rejecting a true null hypothesis) is 0.05. Therefore, the probability of making the wrong decision is approximately 0.05 x 0.1587 = 0.0082.
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So I need help again so here is the question “My mom is baking cookies for a party. The recipe requires 2 eggs for every 4
cups of sugar To have enough cookies for the party, she determined she would
need 12 eggs. If my mom has 25 cups of sugar in the pantry, does she heve
enough sugar to make the cookies”
Answers
Answer:
She has enough sugar.
Step-by-step explanation:
Let x = cups of sugar needed
eggs/cups of sugar = 2/4 = 1/2
12 eggs/x = 1/2
24 = x
Since she as 25 cups available and she needs 24 cups, it looks like she has enough sugar with 1 cup left over. I hope she is making chocolate chip cookies.
What is the slope of y=5/4x-7/4
Answers
The answer is:
5/4
Work/explanation:
Let's work out the slope of the line.
The equation is in y = mx + b form where m = slope; b = y intercept.
Similarly, in y=5/4x - 7/4, the slope is 5/4.
Hence, the answer is 5/4.Find the precision and accuracy for each of the following: a) 4.01sec. b) 40sec. c)420.1sec
Answers
Answer:
hola. amiga como estas
one hose can fill a small swimming pool in 55 minutes a larger hose can fill the pool in 45 minutes how long will it take the two hoses to fill the pool working together?
Answers
J in 55min
J in 45min ( bigger hose)
\(\begin{gathered} \frac{1}{55}+\frac{1}{45} \\ \frac{45(1)+55(1)}{55(45)} \\ \frac{100}{2475} \\ \text{Take the reciprocal} \\ \frac{2475}{100} \\ 24.75\text{ minutes} \end{gathered}\)Alternative method
The trick is to convert the numbers you are given to numbers that you can add together.
You have minutes per pool. You can’t work with that. But if you take the reciprocal of each you get pools per minute.
So if the first hose fills 1/55 = 0.01818 pools per minute and the second one fills 1/45 = 0.0222 pools per minute, then both of them will fill 0.1818 + 0.0222 = 0.04040 pools per minute. If we take the reciprocal of that we end up with 1/0.04040 = 24.75 minutes per pool.
9) Simplify by rewriting the expression using positive
exponents: (-3x2)4
Answers
Answer:
-3^8
Step-by-step explanation:
do you mean (-3^2)^4?
so its becomes (-3)^2x4 = -3^8
Matthew needs to fill a tub that can hold no more than 45 liters of water. The bucket already contains 15 liters of water. The inequality shown can be used to find, w, the number of liters of water that Matthew still needs to add to the tub.
w plus 15 is less than or equal to 45
Which inequality represents all possible values of w?
Answers
Therefore , the solution of the given problem of inequality comes out to be add any amount of water up to 30 liters to the tub and still not exceed its capacity of 45 liters.
What does inequality actually mean?A mathematics inequality is a relationship or set of variables, minus the equal sign. Equity usually comes after equilibrium. When two parameters are not equal, inequality results. Between equality and inequality, there are differences. Since the values are not the same or equal, it was determined to use the most common symbol (). Any disparity, no mater how few or numerous, can be utilized to compare values.
Here,
Given :
The given inequality is:
w + 15 ≤ 45
To isolate w, we need to subtract 15 from both sides:
w + 15 - 15 ≤ 45 - 15
w ≤ 30
Therefore, the inequality that represents all possible values of w is:
w ≤ 30
This means that Matthew can add any amount of water up to 30 liters to the tub and still not exceed its capacity of 45 liters.
Therefore , the solution of the given problem of function comes out to be add any amount of water up to 30 liters to the tub and still not exceed its capacity of 45 liters.
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