Neha drives a car that gets 25 miles per gallon when she is driving in the city and 40 miles per
gallon when she is driving on the highway. Her car's fuel tank will hold 15 gallons of gas. What
equation can we write to represent all the combinations of city miles and highway miles she can
drive on one tank of gas?
1. Record an equation that is a prediction.
Answers
Answer:
C/25 + H/40 = 15
Step-by-step explanation:
Let's call C the number of city miles, and H the number of highway miles.
The total gas used is therefore:
C/25 + H/40
The fuel tank holds 15 gallons, so:
C/25 + H/40 = 15
Related Questions
if Dora has 1 ice cream plus 78 ice cream times 4000 divided by 7 how much ice cream would Dora have?
Answers
Answer:
44,572.42
Step-by-step explanation:
Solve the equation for x:
5x – 4 – 9x
4(x - 5)
Answers
Answer:
x = 2
Step-by-step explanation:
5x – 4 – 9x = 4(x - 5)
-4x -4 = 4x -20
-4x -4x = -20+4
-8x = -16
x = -16/-8
x = 2
In ΔEFG, g = 34 inches, e = 72 inches and ∠F=21°. Find the area of ΔEFG, to the nearest square inch.
Answers
The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.
To find the area of triangle EFG, we can use the formula:
\(Area = (1/2) \times base \times height\)
In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.
First, let's find the length of FG. We can use the law of cosines:
FG² = EF² + EG² - 2 * EF * EG * cos(∠F)
EF = 72 inches
EG = 34 inches
∠F = 21°
Plugging these values into the equation:
FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)
Solving for FG, we get:
FG ≈ 83.02 inches
Next, we need to find the height. We can use the formula:
height = \(EF \times sin( \angle F)\)
Plugging in the values:
height = 72 * sin(21°)
height ≈ 25.52 inches
Now we can calculate the area:
\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)
Area ≈ 1060.78 square inches
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Goal and scope A. Selecting an appropriate functional unit is important, but may not be straightforward. Here, our functional unit will be 200,000 miles driven - in other words, the amount of driving a person could expect to do if they bought a new car and drove it until the end of its life. As we know, however, a variety of functional units may be acceptable. a. Briefly explain ( 1 sentence each) why each of the following alternative functional units would or would not be appropriate for our purposes. - "one vehicle" - "distance traveled in one full gas tank or battery charge" - "one year of normal commuting" -1kg of vehicle" b. Now let's say that, in addition to a conventional automobile and an EV, we also wanted to consider riding the public bus as a personal transportation option. In this case, would 200,000 miles driven still be an appropriate choice of functional unit? Why or why not? Which of the functional units from the above list might be more suitable? B. In order to capture the major sources of environmental impacts from "cradle to grave" we will consider three phases of the life cycle: Production, Use, and End-of-life. What is one other phase we could consider? Do you think that omitting this phase will have a significant impact on our conclusions? Why or why not? C. Since our stated purpose is to evaluate which option is more "climate-friendly," we will consider the impact category of global warming potential (GWP, units: kgCO eq). a. Before we begin our LCA, let's form some hypotheses about what we expect to find. Do you expect that EVs or conventional automobiles will be "better" from the perspective of GWP? Do you think that the Production, Use, and End-of-life phases will all contribute equally to GWP for conventional vehicles? How about EVs? Explain your reasoning for each answer. b. What is one other impact category we could consider? Would your answers to the above questions be the same for this impact category, or different? Why?
Answers
The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs. The distance traveled in one year of normal commuting could be more suitable in this case.
A. The functional unit, which is defined as the quantified performance of a product system or service that will be used as a reference for conducting the life cycle assessment, is important for evaluating the impacts of products or systems on the environment.
The following are the different functional units that are acceptable or not acceptable to assess the environmental impacts of the product or system.
The first functional unit, one vehicle, is not appropriate as it doesn't represent the amount of driving a person could expect to do if they bought a new car and drove it until the end of its life.
The second functional unit, distance traveled in one full gas tank or battery charge, would not be appropriate for our purpose as it is not clear what type of vehicle it will be used for.
The third functional unit, one year of normal commuting, would not be appropriate as it does not consider all the environmental impacts over the lifetime of the vehicle.
The fourth functional unit, 1 kg of vehicle, would not be appropriate as it is too small of a functional unit to evaluate the environmental impacts of the vehicle.
B. If we also wanted to consider riding the public bus as a personal transportation option, 200,000 miles driven would not be an appropriate choice of functional unit. This is because buses are used for transportation purposes, and they will have different environmental impacts than cars.
Therefore, the distance traveled in one year of normal commuting could be more suitable in this case.
C. One other impact category we could consider is the acidification potential. The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs.
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question is in the picture, please help! Im stumped
Answers
Answer:
slope=-3
y-intercept=-4
Step-by-step explanation:
slope= change in y/changes in x
pick any 2 co-ordinates (i'm using (-3,5) and (-1, -1))
5--1/-3--1=6/-2=-3
substitute that into the equation y=mx+c with m being the slope
y=-3x+c
-7=-3+c
c=-4
y intercept=-4
Simplify
4x + 2y + x2 - x + 3 - x2 - 5
A. 3x2 + 5y - 8
B. 2x2 - 3x + 2y - 2
C. -5x + 2y - 2
D. 4x2 - 2y + 5x + 8 help help help pls help
Answers
Answer:
b
Step-by-step explanation:
u just have to think about it
1. A beaker holding 1.5 litres of water is placed in a temperature-controlled room so that 120 mL of
water evaporates each day. Use "d' as the day and V(d) as the volume of water left in beaker.
a) Use function notation to write an equation for this situation.
b)
On which day there will be 900 mL of water left in the beaker? Show all calculations.
c)
Write the domain and range of the function in set builder notation (use variables provided).
Domain:
Range
Answers
Answer:
Oi tudo bem?
meu nome é Ana Kesia, e qual é o seu nome também?
Desculpe-me eu Nn consegui responder sua pergunta.
Mas mesmo assim, agradeço pelos pontos estava precisando.
tchau, tenha uma Ótima tarde!
Bons estudos nas suas atividades! ❤♥
Linda needs to buy some pencils. Brand A has a pack of 48 pencils for $7. 97. Brand B has a pack of 72 pencils for $9. 88. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent
Answers
Answer:
Brand B is the better price because it is approx $0.13 per pencil, and Brand A is more expensive because it is $0.17 per pencil.
Step-by-step explanation:
Brand A:
7.97/48 = 0.16604166666 = approx $0.17 per pencil
Branch B:
9/72 = 0.125 = approx $0.13 per pencil
Brand B is the better price because it is approx $0.13 per pencil and Brand A is more expensive because it is $0.17 per pencil.
Tony built 6 wooden toys. Each toy had a mass of 3/4 kilograms. What was the total mass of the toys that he built? Write your answer in simplest form.
Answers
Answer:
4 1/2
Step-by-step explanation:
3/4*6/1 = 18/4 = 4 2/4 = 4 1/2
Answer:
0.75
Step-by-step explanation:
0.75 is 3/4
markas brainliest please please I beg u
I need help, please?
Answers
Answer:
The answer is 21
Step-by-step explanation:
6+6 bc the other side is the same as the one that has 6. 6+6+9=21
2(7x + 13) - 16x = 3(x + 11) - 4x
Answers
Answer:
One Solution
x= -7
Step-by-step explanation:
2 times 7x is 14x
2 times 13 is 26
3 times x is 3x
3 times 11 is 33
Now the equation looks like this:
14x+26-16x=3x+33-4x
Now Simplify:
-2x+26=-x+33
Add x on both sides and subtract 26 on both sides:
-x=7
Divide by -1 on both sides:
x=-7
So one solution and the one solution is -7
Hope this helps!
x = -7
Explanation:
During a game of roulette, a wheel is spun and a ball drops randomly into one of the wheel's
numbered compartments. Then the process is repeated with another random spin.
Are these two events dependent or independent?
dependent
independent
Answers
Answer:
Independent is the correct answer
Step-by-step explanation:
A fair coin is tossed twice in succession. The sample space is shown, where H represents heads up and T represents tails. Find the probability of getting exactly onne tail.
Answers
Answer:
1/4
Step-by-step explanation:
The probability of getting heads once is 1/2.
To find the probability of getting heads twice, you would multiply 1/2 x 1/2.
Hence, the answer is 1/4.
Hope this was helpful!
Please mark this answer and the Brainliest!
A) A resistor has a resistance 1.5 ohm and a voltage 6.00 V across it. What is the current in the resistor? What power does it dissipate? Show your work.B) If the resistor above is immersed in water, how much energy does it deliver to the water in 350 seconds? Express answer in joules and in calories. Show your work.
Answers
A) Current (I)= 4A and power dissipated is 24W
B) The energy delivers to the water in 350 sec is 2009.57 cal.
We have, Resistance of the resistor, R = 1.5 ohm
The voltage across the resistor, V = 6.00 V
Let the current in the resistor be 'I'
By using Ohms' Law
I = V/R ⇒ 6.00 V / 1.5 ohm ⇒ 4 A
Therefore, the current in the resistor is 4 A.
The power dissipated by the resistor,
P = I²R ⇒ (4 A)² × 1.5 ohm ⇒ 24 W
Therefore, the power dissipated by the resistor is 24 W.
B) The energy delivered to the water by the resistor can be calculated using the formula:
E = P × t,
Where P = Power of the resistor = 24 W
t = Time = 350 seconds
Therefore, the energy delivered to the water by the resistor is:
E = Pt ⇒ 24 W × 350 s ⇒ 8400 J
Now, convert it to calories:
1 calorie = 4.18 J
Therefore, Energy in calories = Energy in joules / 4.18
⇒ 8400 J / 4.18
⇒ 2009.57 cal
Hence, the energy delivered to the water in 350 seconds is 8400 J or 2009.57 cal.
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I am a fraction. The ratio between my numerator and denominator is 2:5. My denominator is 6 more than my numerator. What fraction am I ?
Answers
Answer:
4/10
Step-by-step explanation:
Let the numerator be 2x and the denominator is 5x. The denominator is 6 more than the numerator so if we add 6 to the numerator both numbers should be equal.
Solve:
2x+6 = 5x
6 = 3x
x = 2
2x = 4
5x = 10
Step-by-step explanation:
Let the numerator be 2x and denominator be 5x,
A.T.Q,
2x+6 = 5x
2x-5x = -6
-3x = -6
3x = 6
x = 2
So, the fraction is 4/10 = 2/5
question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
Answers
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
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You need the sample for your survey to include people of different ages. You need some to be between the ages of 20-40, some to be between 40-60, and some to be 60-80. Which one of these types of sampling will help you get objects from each group:
Answers
Answer:
I would say a bar graph because it is used best for data that needs groups.
In order to get samples from each age group, you would need to use stratified sampling. This involves dividing the population into subgroups, or strata, based on a particular characteristic - in this case, age.
Once the population has been stratified, a random sample can be taken from each subgroup in proportion to its size.
For example, if the population consists of 1000 people, with 300 aged 20-40, 400 aged 40-60, and 300 aged 60-80, you would need to take a sample of 60 people (20% of the population) in order to get 20 people from each age group. This could be done by randomly selecting 18 people from the 20-40 age group, 24 people from the 40-60 age group, and 18 people from the 60-80 age group.
Stratified sampling is often used when there are important subgroups within a population that need to be represented in the sample. It can help to ensure that the sample is representative of the population as a whole, and can improve the accuracy of the survey results. However, it can also be more time-consuming and expensive than other sampling methods.
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I will give 15 points if your answers is correct
Answers
Answer:
the answer is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3 ÷ 3 = 1
6 ÷ 3 = 2
9 ÷ 3 = 3
12 ÷ 3 = 4
Hope it helps and have a great day! =D
~sunshine~
CAN SOMEONE PLS HELP MEE
Two triangles are graphed in the xy-coordinate plane.
Which sequence of transformations will carry △QRS
onto △Q′R′S′?
A. a translation left 3 units and down 6 units
B. a translation left 3 units and up 6 units
C. a translation right 3 units and down 6 units
D. a translation right 3 units and up 6 units
Answers
Answer:
the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.
Step-by-step explanation:
If the sales tax rate is 5% in California, then how much would you pay in Los Angeles for a coat that cost $120.00? ________
Answers
The sales tax rate being 5%, the total amount you would pay for a coat that cost $120.00 in Los Angeles is $126.00.
If the sales tax rate is 5% in California, then we have to find how much is needed to be paid in Los Angeles for a coat that cost $120.00.
The sales tax rate is 5%, thus to find out how much you have to pay in Los Angeles for a coat that cost $120.00, you can simply multiply the cost of the coat by 5% to get the sales tax rate then add that to the coat cost to get the total amount.
The formula for calculating the sales tax amount is:
S = P × r
Where,
S is the sales tax amount,
P is the price, and
r is the sales tax rate.
Thus, to find out how much you have to pay in Los Angeles for a coat that cost $120.00, you can do the following:
S = 120.00 × 5%
= $6.00
Therefore, the total amount you would pay for a coat that cost $120.00 in Los Angeles is $126.00.
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Please solve in EXCEL using an excel formula such as =npv
ou're buying a house that costs 300,000 with a down payment of \( 25 \% \) in cash and a 30 year mortgage for the rest at \( 2.75 \% \). What are your onthly principal + interest payments?
Answers
To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:
Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
Loan Amount = $300,000 - $75,000 = $225,000
Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.
Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.
Use the PMT function in Excel to calculate the monthly principal + interest payment.
Monthly Payment = -PMT(0.00229, 360, 225000)
The negative sign is used because the payment is an outgoing cash flow.
By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.
To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.
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The sum of a four-digit number and a one-digit number is 7,231. The product of the numbers is 28,908. What are the numbers?
Answers
Step-by-step explanation:
The numbers are 7227 and 4.
y=3/4x+2 linear or non linear
Answers
Answer:
linear
Step-by-step explanation:
Find the value of x.
Answers
Answer:
x = 17.5
Step-by-step explanation:
the segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, so
\(\frac{7}{4}\) = \(\frac{x}{10}\) ( cross- multiply )
4x = 70 ( divide both sides by 4 )
x = 17.5
Please help me answer I need one now
Answers
Answer:
\(\sqrt[7]{(-4)^{2} }\)
Step-by-step explanation:
using the clausius‐clapeyron equation determine what variables related to the measured values would be graphed on the x and y axes, along with what m and b would represent.
Answers
In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.
Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.
The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.
The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.
By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.
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Erin is pouring cake batter into a pan. The pan she is using is 8 inches wide,
11 inches long, and 7 cm deep. Erin has made 18 cups of cake batter.(1 cup =
14.44 cubic inches, 1 inch = 2.54 cm) What is the maximum volume, in cubic
inches, the cake pan can hold? (volume of a rectangle: volume-length x
width x height)
Answers
Answer:
242.52 cubic inches
Step-by-step explanation:
Volume of the cake pan = Length × Width × Height
From the about question, we have the following dimensions for the cake pan
8 inches wide = Width
11 inches long = Length
7 cm deep = Height
We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.
Converting Height in cm to inches
From the question,
2.54 cm = 1 inch
7cm = x inch
Cross Multiply
2.54 × x = 7 × 1
x = 7/2.54
x = 2.7559055118 inches
Volume of the cake pan =
8 × 11 × 2.7559055118
= 242.51968504 cubic inches
Approximately, the volume of the cake pan = 242.52 cubic inches
What is the maximum volume, in cubic
inches, the cake pan can hold is 242.52 cubic inches
the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54
Answers
The ratio of false positives to true positives is 8 over 54.
According to the Question
Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.
We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.
We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.
As a result, the ratio becomes 8% / 54%, or 8/54.
It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.
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Solve the equation below to two decimal places. 3^(X+1)=5
x = _______________________
Answers
Answer:
X = 0.46
Step-by-step explanation:
I used a calculator so it should be right :P
Assume an economy in which only broccoli and cauliflower are produced. In year 1, there are 100 million pounds of broccoli produced and consumed and its price is $0.50 per pound, while 30 million pounds of cauliflower are produced and consumed and its price is $0.80 per pound. In year 2, there are 80 million pounds of broccoli produced and consumed and its price is $0.60 per pound, while 60 million pounds of cauliflower are produced and its price is $0.85 per pound. ) Using year 1 as the base year, calculate the GDP price deflator in years 1 and 2, and calculate the rate of inflation between years l and 2 from the GDP price deflator. b) Using year 1 as the base year, calculate the CPI in years 1 and 2, and calculate the CPI rate of inflation. c) Explain any differences in your results between parts (a and (b
Answers
In year 1, the GDP price deflator is calculated to be 0.66 (or 66%), and in year 2, it is 0.77 (or 77%). The rate of inflation between years 1 and 2, as measured by the GDP price deflator, is approximately 16.67%. In contrast, the CPI rate of inflation is calculated to be 20%. The differences in these results can be attributed to the differences in the composition and weighting of the goods included in the GDP price deflator and the Consumer Price Index (CPI).
a) The GDP price deflator measures the average price change of all goods and services produced in an economy. To calculate the GDP price deflator in year 1, we use the formula: (Nominal GDP / Real GDP) * 100. Given the quantities and prices of broccoli and cauliflower in year 1, the nominal GDP is (100 million * $0.50) + (30 million * $0.80) = $65 million, and the real GDP is (100 million * $0.50) + (30 million * $0.50) = $55 million. Thus, the GDP price deflator in year 1 is (65/55) * 100 = 118.18%. In year 2, the nominal GDP is (80 million * $0.60) + (60 million * $0.85) = $88 million, and the real GDP is (80 million * $0.50) + (60 million * $0.50) = $70 million. Therefore, the GDP price deflator in year 2 is (88/70) * 100 = 125.71%. The rate of inflation between years 1 and 2, as measured by the GDP price deflator, is ((125.71 - 118.18) / 118.18) * 100 = 6.36%.
b) The Consumer Price Index (CPI) measures the average price change of a basket of goods and services typically consumed by households. To calculate the CPI in year 1, we assign weights to the prices of broccoli and cauliflower based on their consumption quantities. The CPI in year 1 is (100 million * $0.50) + (30 million * $0.80) = $65 million. In year 2, the CPI is (80 million * $0.60) + (60 million * $0.85) = $81 million. The CPI rate of inflation between years 1 and 2 is ((81 - 65) / 65) * 100 = 24.62%.
c) The differences in the results between parts (a) and (b) can be attributed to the differences in the composition and weighting of goods included in the GDP price deflator and the CPI. The GDP price deflator considers the prices of all goods and services produced in the economy, reflecting changes in production patterns and the overall price level. On the other hand, the CPI focuses on a fixed basket of goods and services consumed by households, reflecting changes in the cost of living. The differences in the weighting and composition of goods between the two measures result in variations in the calculated inflation rates.
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