Which of the following statements about setting up equations to solve word problems is not true?
Answers
Answer:
The answer would be the first one.
Step-by-step explanation:
The first answer, any variable is not true because it would not be logical because when someone is checking your work, they wouldn‘t know what that variable is. And it is logical to list what the problem is asking, AND word problems CAN be solved using an equation.
Related Questions
Diana was running for two hours at a speed of 6 miles per hour. how far did she run?
Answers
Answer:12
Step-by-step explanation: 6 miles is traveled in 1 hour, if you multiply that by 2 you get 12.
The answer is:
12 miles
Work/explanation:
Were asked to find how far she ran. This means that we have to find the distance, given the speed and the time.
We will use the formula:
\(\boldsymbol{Distance=Speed\times Time}\)
Plug in the data
\(\boldsymbol{Distance=2\times6}\)
\(\boldsymbol{Distance=12\:miles}\)
Hence, the answer is 12 miles.
can someone help please
Answers
When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.
To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.
The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.
When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.
Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.
Therefore, the water will be approximately 7 inches deep in the larger container.
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this please I fricking can't understand the question
.............
Answers
Answer:
sorry i don't know
Step-by-step explanation:
I have a question can you help me solve this. m-8=3
Answers
You have the following algebraic expression:
\(m-8=3\)In order to solve the previous expression, you proceed s follow:
m - 8 = 3 First, you sum 8 both sides of the equation
m - 8 + 8 = 3 + 8 simplify (-8 + 8 cancel out, 3 + 8 is equal to 11)
m = 11
Hence, the solution to the equation is m = 11
Jonczyk Company is considering two different, mutually exclusive capital expenditure proposals. Project A will cost $454,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $68,000. Project B will cost $300,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $47,000. A discount rate of 9% is appropriate for both projects. Click here to view PV table.
Calculate the net present value and profitability index of each project. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round present value answers to 0 decimal places, e.g. 125 and profitability index answers to 2 decimal places, e.g. 15.52. For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124.)
Answers
Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.
A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.
Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14
Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96
The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.
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Which angle has sides DB and DC? Select all that apply.
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No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.
What is dilation?Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.
Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.
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In 1895 , the first a sporting event was held. The winner's prize money was $140. In 2007 , the winner's check was $1,171,000. (Do not round your intermediate calculations.) Required: (a)What was the percentage increase per year in the winner's check over this period? (b)If the winner's prize increases at the same rate, what will it be in 2040?
Answers
The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.
To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:
Percentage Increase = (Final Value - Initial Value) / Initial Value * 100
a. Calculating the percentage increase:
Initial Value = $140
Final Value = $1,171,000
Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%
b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.
Number of years = 2040 - 2007 = 33 years
Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33
Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69
Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.
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how do I solve 3+k/14=4
Answers
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}\)
Step-by-step explanation:
\( \bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}\)
\( \tt{Step \: 1 \: }\) : Do cross multiplication
\( \hookrightarrow{ \sf{3 + k = 4 \times 14}}\)
\( \tt{Step \: 2}\) : Multiply the numbers : 4 and 14
\( \hookrightarrow{ \sf{3 + k = 56}}\)
\( \tt{Step \: 3 \: }\) Move 3 to right hand side and change it's sign
\( \hookrightarrow{ \sf{k = 56 - 3}}\)
\( \tt{Step \: 4 \: }\) Subtract 3 from 56
\( \hookrightarrow{ \sf{k = 53}}\)
The value of k is 53
Hope I helped!
Best regards! :D
~TheAnimeGirl
Answer:
Step-by-step explanation:
k/14 + 3 = 4
k/14 = 1
k = 14
find the area of the triangle determined by the points
Answers
The area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.
To find the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9), we can follow these steps:
1. Calculate the vectors PQ and PR by subtracting the coordinates of P from Q and R, respectively.
2. Find the cross product of PQ and PR.
3. Calculate the magnitude of the cross product.
4. Divide the magnitude by 2 to find the area of the triangle.
Step 1: Calculate PQ and PR
PQ = Q - P = (-4 - 1, -3 - 1, -6 - 1) = (-5, -4, -7)
PR = R - P = (6 - 1, 10 - 1, -9 - 1) = (5, 9, -10)
Step 2: Find the cross product of PQ and PR
PQ x PR = ( (-4 * -10) - (-7 * 9), (-7 * 5) - (-10 * -5), (-5 * 9) - (-4 * 5) ) = ( 36 + 63, 35 - 50, -45 + 20 ) = (99, -15, -25)
Step 3: Calculate the magnitude of the cross product
|PQ x PR| = √( (99)² + (-15)² + (-25)² ) = √( 9801 + 225 + 625 ) = √(10651)
Step 4: Divide the magnitude by 2 to find the area of the triangle
Area = 0.5 * |PQ x PR| = 0.5 * √(10651) ≈ 51.61
So, the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.
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Complete question is below
Find the area of the triangle determined by the points p(1, 1, 1), q(-4, -3, -6), and r(6, 10, -9)
Ryan has $470 in his bank account. His bank
statement shows two transactions. He wrote a check
for $55 and made a deposit as $30. What is the
balance in his account now?
Answers
Answer:
He has 445$ in his account
Step-by-step explanation:
First, if he has 470 in his account and he makes a check for 55, 470 - 55 = 415, then he made a deposit his account now holds 445$, thus your final answer is 445$ is the balance in his bank account.
Hope This Helps!
how much more money will you make if you invest $740 at 5.1% interest compounded contiuously for 12 years than if he same amount was invested at 5.1% compounded daily for the same amount of time?
Answers
The amount of money we can make is $0.05.
We have,
P= $710
R= 5.1%
T= 12 year
Compounded Continuously:
A = P\(e^{rt\)
A = 710.00(2.71828\()^{(0.051)(12)\)
A = $1,309.32
Compounded Daily:
A = P(1 + r/n\()^{nt\)
A = 710.00(1 + 0.051/365\()^{(365)(12)\)
A = 710.00(1 + 0.00013972602739726\()^{(4380)\)
A = $1,309.27
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Write the equation of the line that passes through (-8,-4) and (-6,-1) in slop-intercept form
Answers
Answer:
y= 3/2x+8
Step-by-step explanation:
EASY POINTS
Thomas has some leftover paint that he would like to sell. He mixes
4 3/8
gallons of blue paint with 6 5/8
gallons of white paint. Then, he pours this light-blue mixture into
1/4
gallon containers. To find out how many of these
1/4
gallon containers he can fill, which two equations would you need?
Answers
Answer:
4 3/8+6 5/8=x and x÷1/4=number of gallons
Answer:
4 3/8+6 5/8=x and x÷1/4=number of gallons
Step-by-step explanation:
antonio purchased Adult and children tickets for the fair tickets cost $29.35 What each adult and $17.45 for a child let X represent the number of adult tickets purchased a member of an expression to represent the total cost of tickets antonio purchased
Answers
Answer: B
Step-by-step explanation:
Send help due today!
question 1
A coat is on sale for 33% off the original price. What percent of the original price would you have to pay to buy the coat?
question 2
If Juan bought a video game and paid 8% sales tax on his purchase, what percent of the purchase price of the game did he pay as the total bill?
Answers
You would have to pay 67% of the original price to buy the coat and Juan paid 1. 08% of the purchase price as the total bill.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
If the coat is on sale for 33% off the original price, then the price you would have to pay is equal to 100% - 33% = 67% of the original price.
So, you would have to pay 67% of the original price to buy the coat.
If Juan paid 8% sales tax on his purchase, then the total bill would be the original price plus 8% of the original price.
Let's say the purchase price of the video game is x.
Then, the sales tax would be 8% of x, which is 0.08x.
So, the total bill that Juan paid is x + 0.08x = 1.08x.
Therefore, Juan paid 1. 08% of the purchase price as the total bill.
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Which is the slope of a line that is perpendicular to the line that passes through the points (-9, -4) and (3, 4)?
Answers
The required slope is 2/3 which passes through the points (-9, -4) and (3, 4).
What is the slope?In mathematics, the slope or gradient of a line is a quantity that specifies both the direction and the steepness of the line.
A line's steepness can be determined by looking at its slope.
The slope is calculated mathematically as "rise over run" (change in y divided by change in x).
So, we have the points:
(-9, -4) and (3, 4)
The slope formula:
m = y2 - y1 /x2 - x1
Now, insert values and calculate as follows:
m = y2 - y1 /x2 - x1
m = 4 + 4 / 3 + 9
m = 8/12
m = 4/6
m = 2/3
Therefore, the required slope is 2/3 which passes through the points (-9, -4) and (3, 4).
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Peter and his 4 brothers combined all him money to buy a video game.If 25% of peters money is $5 how much do all 5 brothers have in total
Answers
All five brothers have a total of $100 combined.
Let's assume Peter's total amount of money is P dollars. We are given that 25% of Peter's money is equal to $5,
so we can set up the equation:
0.25P = 5
To solve for P,
we divide both sides of the equation by 0.25:
P = 5 / 0.25 = 20
Now that we know Peter has $20,
we can find out how much money all five brothers have combined. Since Peter and his four brothers combined their money, the total amount would be:
Total = Peter's money + 4 brothers' money
Total = $20 + 4 x (Peter's money)
Total = $20 + 4 x $20
Total = $20 + $80
Total = $100
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what percent of 32 is 5.6
Answers
Answer:
17.5 %
Step-by-step explanation:
5.6 is 17.5 percent of 32
ABCD and EFII GĦ. Use the figure above to find the value of each angle.
Give an explanation for each angle value.
Answers
Hope these help but i wrote all of it out with all its geometrical reasons
The half-life of carbon 14 is 5730 years. How much of a 50 gram sample would be left after 15,000 years?
Answers
\(\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill &\\ P=\textit{initial amount}\dotfill &50\\ t=years\dotfill &15000\\ h=\textit{half-life}\dotfill &5730 \end{cases} \\\\\\ A = 50\left( \frac{1}{2} \right)^{\frac{15000}{5730}}\implies A=50\left( \frac{1}{2} \right)^{\frac{500}{191}} \implies A \approx 8.15\)
After 15,000 years, there wοuld be apprοximately 3.125 grams οf the carbοn-14 sample remaining.
What is Expοnential Decay?Expοnential decay is a mathematical prοcess that describes the decrease οf a quantity οver time, where the rate οf decrease is prοpοrtiοnal tο the quantity itself. It is characterized by an expοnential functiοn, which decreases at a cοnstant percentage rate οver equal intervals οf time.
Tο sοlve this prοblem, we can use the fοrmula fοr expοnential decay:
A =
where:
Aₒ = initial amοunt
A = amοunt remaining after time t
T = half-life
We are given:
Aₒ = 50 grams (initial amοunt)
T = 5730 years (half-life)
t = 15000 years (time elapsed)
Substituting these values intο the fοrmula, we get:
\(A = 50 * (1/2)^{(15000/5730)\)
A = 50 * 0.0625
A = 3.125 grams
Therefοre, after 15,000 years, there wοuld be apprοximately 3.125 grams οf the carbοn-14 sample remaining.
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I REALLY NEED THIS !!! ITS AN EMERGENCYYYYYYY!!!!!!!! GIVING 25 POINTS
When she first purchased it, Soledad's computer had 500 GB of hard drive space. After six months, there were only 380 GB available. Enter and solve an equation to find the amount of hard drive space that Soledad used in the first six months. Use 's' as your variable.
Answers
Answer:220GB
Step-by-step explanation: 500-s=380
500 - x = 380
In order to solve this problem, we need to follow certain steps such as:
(a) As the first step, lets try to gather all the variable-related members in one side of the equation. In this case there is only one variable, so no need for this.
500 - x = 380
(b) Now lets eliminate 500 from the left side of equation
-x + 500 - 500 = 380-500 x = 87
Therefore. Soledad used 120 GB of hard drive space in six months.
Simplify
please answer this question and attach a photo of your solution
Answers
Answer:
7q
Step-by-step explanation:
that is the procedure above
Please help me with this question, I need to know what X equals
Answers
Answer: 11
Step-by-step explanation: m<2 is equal to 42. This also means that 3x+9 is equal to 42.
3x+9=42, solve for x. Subtract 9 from both sides. 3x=33, divide by three to get X isolated. X= 11
Economic growth typically results in rising standards of living and prosperity. However, it also invites negative externalities such as environmental degradation due to over- exploiting of natural resources. As such, the world is confronted with the dilemma of growth versus environmental sustainability. Developing a model explaining the disparity of economic development concentrating on drivers such as tourism sustainability, technological innovation and the quality of leadership would be important not only to facilitate future economic growth in developing countries, but also to the environmental and sociocultural sustainability which ultimately lead to global sustainable development. The present research objective is to develop and test framework of sustainable development by considering the elements of tourism, technological innovation, and national leadership. This further would facilitate growth, environmental and socio-cultural sustainability. Understanding the integration of these dimensions would enable the building of a Sustainable Development Framework (SDF) that would provide better insight in promoting the SDGS agenda. Ultimately, growth and environmental sustainability can be achieved which will benefit the society, the economy, and nations and of course for future sustainable policy recommendation. Based on the issue above, you are required to propose relevant econometric approaches with the aims to test sustainable development by considering the elements of tourism, technological innovation, and national leadership. Question 1 [10 marks] [CLO2] Based on the scenario above, a. Propose an appropriate model specification based on the scenario above. [4 marks] used in the [4 marks] [2 marks] b. Justify the selection of the dependent and independent variables model. c. Justify the selection of the sample period.
Answers
According to the given information, the sample period should be from 2010-2020.
a) Model specification
The model specification based on the scenario above is as follows:
SDF= f(T, TI, NL)
Where: SDF= Sustainable Development Framework
T= Tourism
TI= Technological innovation
NL= National leadership
b) Justification for the selection of the dependent and independent variables model:
Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.
Independent variables:
The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.
The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.
c) Justification for the selection of the sample period:
The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.
Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.
The sample period should be from 2010-2020.
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As the number of degrees of freedom for t distribution increase, the difference between the t distribution and the standard normal distribution _____.
a. becomes large
b. becomes smaller
c. stays the same
d. None of the above
Answers
Write the equation of this graph.
someone please help i will give you brainliest!!!
Answers
Answer:
y=-1/2x+2
Step-by-step explanation:
If you are supposed to put it in slope-intercept form,(y=mx+b), then this would be the answer because the slope (m) is -1/2, and the y intercept is 2. I hope this helps :).
1.5b=3
solve for b, it is multiplication
Answers
Answer:
Simple b is 2
Step-by-step explanation:
1.5(2)= 3
Answer:
2
Step-by-step explanation:
So you need to find how many times to multiply 1.5 to make 3.
Divide 3 by 1.5 and you will get 2.
Hope this helps! :D
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Other things being equal, compared to the paired-samples (or dependent) t-test, the independent t-test:
a.Has the same amount of power, the data are just collected differently.
b. Has more power to find an effect.
c. Is less robust.
d. Has less power to find an effect.
Answers
Compared to the paired-samples (or dependent) t-test, the independent t-test has less power to find an effect. The Option D is correct.
Why does independent t-test has less power to find an effect?This is because the independent t-test assumes that the two groups being compared are independent and have equal variances, which can reduce the precision of the estimate and increase the standard error of the mean difference.
In contrast, the paired-samples t-test assumes that the two groups are dependent (i.e., paired) and thus controls for individual differences between subjects, which can increase the precision of the estimate and decrease the standard error of the mean difference. Therefore, the paired-samples t-test is generally more powerful than the independent t-test for detecting differences between two groups.
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Plz help
The point of intersection of two function is also called the
A. Center
B. Equation
C. Vertex
D. Solution
Answers
Answer:
Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball
Hey guys wnna talk for a bit?
Answers
Answer:
what do u want to talk about
Step-by-step explanation: