Step-by-step explanation:
Given:
Work = 40 Bushels of Apples
Time of Nicole = 15 Hours
Time of Carlos = 11 Hours
Unknown:
N = Nicole's Rate
C = Carlos' Rate
Equation:
W = r * t
Solution:
First, get Nicole's Rate
40 = N * 15
N = 40 / 15
Second, get Carlos' Rate
40 = C * 11
C = 40/11
Then, get the time
40 = ( N + C ) * t
40 = ( 40/15 + 40/11 ) * t
40 = 208/33 t
40 / (208/33) = t
t = 165 / 26 or 6.3462 Hours
Statement:
Therefore, it would take them approxmately 6.35 hours if they worked together.
Lin-Tse buys 5 yards of cloth for $18.75.
Select the two answers that describe the unit price of the cloth.
The unit price of the cloth is $3.75
The unit price of the cloth is the price per yard of the cloth. It can also be described as the average cost of the cloth. The unit price of the cloth can be determined by dividing the total cost of five yards of cloth by 5
Unit price = total cost / total number of yards bought
Unit price = $18.75 / 5
Unit price = $3.75
In order to determine the unit price of the cloth, divide the total cost of the 5 yards that was bought by 5 yards
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Answer:
Each yard of cloth costs $3.75.
The cloth costs $3.75 per yard.
Step-by-step explanation:
EXPLAIN IN STEPS PLEASEE
y = 2x + 1
y = 6 -3x
7Y=-1X
Step-by-step explanation:
Ya me la pusieron a mi y soy muy bueno en matemáticas
Answer:
x = 1; y = 3
Step-by-step explanation:
Get the unknowns on one side of the equal sign and the known numbers on the other:
EQUATION 1: y = 2x + 1 (subtract 2x from both sides)
y -2x = 1
EQUATION 2: y = 6 -3x (add 3x to both sides)
y + 3x = 6
Now we have two simultaneous equations:
y -2x = 1
y + 3x = 6
subtraction gives -5x = -5 so x = 1
Substitute x = 1 into one of the original equations to find y.
y + 3x = 6 becomes y + 3 = 6, so y = 3
A farmer wants to have a water pipe installed from the water source to his farmhous
Their expertise will help optimize the water supply to the farmhouse, promoting efficient irrigation and reliable water access for agricultural activities.
A farmer wanting to have a water pipe installed from the water source to his farmhouse must consider various factors to ensure an efficient and reliable water supply. Here are some important considerations for the installation process:
1. Water Source: The farmer needs to identify a reliable water source that can provide sufficient water for agricultural needs. This could be a well, a nearby river or stream, or a municipal water supply.
2. Distance and Terrain: The farmer should measure the distance between the water source and the farmhouse. The length of the pipe required will affect the cost and feasibility of the installation. Additionally, the terrain between the source and the farmhouse must be assessed. If there are any hills, valleys, or obstacles in the way, it may require additional planning and equipment to overcome them.
3. Pipe Material: Selecting the right type of pipe material is crucial. Common options include PVC (polyvinyl chloride), HDPE (high-density polyethylene), or metal pipes. Factors such as durability, cost, and compatibility with the water source need to be considered.
4. Pipe Size: The pipe size will depend on the desired water flow rate and the pressure needed at the farmhouse. Calculating the required flow rate involves considering the water demand for irrigation, livestock, and household use. Consulting with an expert or a professional plumber can help determine the appropriate pipe size.
5. Pump System: In cases where the water source is at a lower elevation than the farmhouse, a pump system may be required to lift the water to the desired height. The type and capacity of the pump should be selected based on the total head (vertical lift) and the flow rate required.
6. Safety and Regulations: Compliance with local regulations and safety standards is essential. The installation should follow any specific guidelines, such as burying the pipes at the appropriate depth to protect them from freezing or damage.
7. Maintenance and Access: Consideration should be given to the accessibility of the pipes for maintenance and repairs. Having easy access points along the pipeline will allow for efficient monitoring and addressing any potential issues.
8. Budget: The farmer should determine a budget for the installation, including the cost of materials, labor, and any additional equipment required. Obtaining quotes from multiple contractors or suppliers can help in making an informed decision.
It is advisable for the farmer to consult with professionals, such as plumbers, irrigation specialists, or agricultural engineers, to ensure a well-designed and properly installed water pipe system. Their expertise will help optimize the water supply to the farmhouse, promoting efficient irrigation and reliable water access for agricultural activities.
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NOTE- THIS IS NOT MATHEMATICS QUESTION. IT IS SOCIAL STUDIES QUESTION
A cylinder has a diameter of 10 inches in the height four times the radius what is the volume
Answer:
500π in^3
Step-by-step explanation:
The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.
The equation for the volume of a cylinder is:
\(V = \pi r^{2}h\)
We can plug in the radius and height:
\(V = \pi \times (5)^{2} \times 20\\V = \pi \times 25 \times 20\\V = 500\pi in^{3}\)
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
How many classes would Gina need to take for the total cost to be the same at both dance studios?
Answer:
10 classes
Step-by-step explanation:
Given equations in the question
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
Where,
x = number of classes
Equate the total cost at both dance studios
15x = 25 + 12.5x
Collect like terms
15x - 12.5x = 25
2.5x = 25
Divide both sides by 2.5
2.5x / 2.5 = 25 / 2.5
x = 10 classes
x = number of classes = 10
Answer:
AStep-by-step explanation:
PLEASE SOLVE 17 POINTS
1.2x≤9.6
x=?
Answer:
x≤8
Step-by-step explanation:
x≤8
Which of the following is a geometric sequence?
Answer:
A
Step-by-step explanation:
Geometric sequence is when, during each successive number, a constant is being multiplied. In answer choice A, each number is getting multiplied by 3, so it is a geometric sequence.
Lusa sells stuffed animals. She sells a stuffed elephant for $34.90, and the sales tax is 9% of the sale price About how much
is the sales tax on the elephant?
Answer:
3.14
Step-by-step explanation:
Mika invested $200 into a certificate of deposit. After 6 months, the balance was $220. What was the interest rate on the deposit?
I = prt
20 = (200)(r)(0.5)
10%
20%
40%
50%
Answer:
The answer is 20%
pls follow
and mark as the brainliest
Answer:
it's 20%
Step-by-step explanation:
Find the coordinates of two points on the given line, and then use those coordinates to find the slope of the line 3x + 5y = 15
Answer:
slope is -3/5
Step-by-step explanation:
3x + 5y = 15
5y = -3x + 15
y = -3/5x + 3
slope is -3/5
Kate has a Major Medical Plan with a 75/25 coinsurance and a deductible of $25. How much will she have to pay if she, not having met any of her deductible, visits the doctor and receives a bill for $125?
Kate will have to pay $56.25 out of pocket for her doctor visit.
The formula for calculating coinsurance is Coinsurance = (Cost of Service x Coinsurance Percent) / 100.If Kate has not met her deductible yet, she will need to pay the full $25 deductible plus 25% of the remaining bill.
The formula for calculating the amount Kate needs to pay is as follows:
Cost to Patient (C) = Deductible (D) + Coinsurance (C) * (Bill – Deductible) In this case, Kate would need to pay (125 x 25) / 100 = $31.25. The extra $25 is the deductible, which is the amount she must pay before her insurance kicks in.This amount is due immediately upon the visit, regardless of whether or not she has met her deductible So in total, Kate would have to pay $25 + $31.25 = $56.25. In summary, Kate will have to pay $56.25 out of pocket for her doctor visit.
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The scatter shows the time spent texting, and the time spent exercisingby each of 23 students last week (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit b) Using your equation from part (a)predict the time spent exercising for a student who spends 4 hours texting Note that you can use the graphing tools to help you approximate the linear
SOLUTION
Consider the graph shown:
From the graph the equation is:
\(\begin{gathered} y-9.1=\frac{6.3-9.1}{3.5-0.9}(x-0.9) \\ y-9.1=-1.07(x-0.9) \\ y=-1.07x+10.06 \end{gathered}\)Therefore the approximate equation is:
\(y=-1.07x+10.06\)Substitute x=4 into the equation:
\(\begin{gathered} y=-1.07(4)+10.06 \\ y=5.72 \end{gathered}\)
Please help on 19 this needs to be finished tonight and I’m desperate I need help really bad my mom doesn’t understand this and my dad knows how to do it but can’t explain it and I don’t have any older siblings so I’m on my own when it comes to math please help me please
Step-by-step explanation:
\((4 {x }^{2} + 3 {y}^{2} ) {}^{0} \\ rule \: of \: zero = {x}^{0} = 1 \\ answer = 1\)
54 students failed a math test. This is 27 percentage of the total number of students. How many students passed the test?
Using the percentage formula, the number of students that passed the test is 146.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.
We can use proportions to solve this problem.
Let the total number of students be "x".
Then, we know that 54 students failed the test, which means that the number of students who passed the test is -
x - 54
We also know that 54 students is 27 percentage of the total number of students, or -
54 = 0.27x
To solve for x, we can divide both sides by 0.27 -
54/0.27 = x
x = 200
Therefore, the total number of students is 200.
To find the number of students who passed the test, we can substitute this value into our equation -
x - 54 = 200 - 54 = 146
Therefore, 146 students passed the test.
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√96 how do i solve this and it can't be a decimal
Melanie is going to invest in an account paying an interest rate of 3.1% compounded
daily. How much would Melanie need to invest, to the nearest dollar, for the value of
the account to reach $11,900 in 14 years?
Using compound interest, it is found that Melanie would need to invest a value of $7,710.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In this problem, we have that:
Rate of 3.1%, hence \(r = 0.031\).Compounded daily, hence \(n = 365\).Value of $11,900 in 14 years, hence \(t = 14, A(t) = 11900\).The amount she needs to invest is P.Hence:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(11900 = P\left(1 + \frac{0.031}{365}\right)^{365(14)}\)
\(1.54339P = 11900\)
\(P = \frac{11900}{1.54339}\)
\(P = 7710\)
Melanie would need to invest a value of $7,710.
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Question
Refer to the Newsela article, "Doctoral Student Played a Big Part in First Black Hole Photo."
How does Bouman contribute to taking the first photograph of a black hole?
Responses
Bouman is the first person to suggest that black holes exist in space.
Bouman invents a telescope that can gather images taken by eight telescopes located around the world.
She and her team create an algorithm that makes it possible to collect data and combine it into one image.
Her TED talks on black holes inspire other scientists to figure out how to photograph them.
Bouman contributed to taking the first photograph of a black hole as she and her team created an algorithm that makes it possible to collect data and combine it into one image.
What facts are drawn from Newsela article?The article highlighted the importance of Katie Bouman in leading her team who created a computer software capable of using an algorithm that analyzes data and creates an image based on it. Its elaboration took about two years to complete but the results were very promising and promoted a great advance for science.
In conclusion, Bouman and the team were able to develop series of algorithms that converted telescopic data into the historic photo shared by the world's media.
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A 90% confidence interval for the mean of a population is computed to be 135 to 160. Which one of the following claims would the interval tend to refute?A. The population mean is more than 110.B. The population mean is less than 150.C. The population mean is between 140 and 150.D. The population mean is more than 140.E. The population mean is less than than 125.
Therefore, the only claim that the interval would tend to refute is option E: The population mean is less than 125.
Based on the 90% confidence interval of 135 to 160, we can conclude that the population mean is likely to be within this interval with a 90% degree of confidence.
A. The claim that the population mean is more than 110 is not refuted by the confidence interval since the lower limit of the interval is above 110.
B. The claim that the population mean is less than 150 is not refuted by the confidence interval since the upper limit of the interval is above 150.
C. The claim that the population mean is between 140 and 150 is not refuted by the confidence interval since both values are within the interval.
D. The claim that the population mean is more than 140 is not refuted by the confidence interval since the lower limit of the interval is above 140.
E. The claim that the population mean is less than 125 is refuted by the confidence interval since the lower limit of the interval is above 125.
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how many ways are there to assign each of $6$ friends to either the chemistry class or the biology class if one of these six, manoj, refuses to be in a class without any of his friends?
There are 62 number of ways in which classes to these students can be assigned. It can be solved by using the fomula of combination.
What is the formula of combination?
Following is the fomula of combination:
\(^nC_r=\frac{n!}{r!(n-r)!}\)
Here, n is the total objects available and r is the number of object need to choose from n objects.
Let six friends are A, B, C, D, E, and manoj.
Consider all 6 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_6\)
Consider 5 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_5\)
Consider 4 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_4\)
Consider 3 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_3\)
Consider 2 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_2\)
Consider 1 friend is in chemistry class. Hence, number of ways in which it can be is,
\(^6C_1\)
Consider no friend is in chemistry class all are in biology class. Hence, number of ways in which it can be is,
\(^6C_0\)
Hence, total number of ways in which classes can be assigned to 6 students is,
\(^6C_6+^6C_5+^6C_4+^6C_3+^6C_2+^6C_1+^6C_0=64\)
Now, the number of ways in which mnoj is alon. There are two ways. Either he will be in the chemistry class or he will be in the physics class.
Hence, subtract 2 from 64 to get the answer.
\(64-2=62\)
Hence, there are 62 number of ways in which classes to these students can be assigned.
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The relationship between the actual air temperature (in degrees Fahrenheit) and the temperature y adjusted for wind chill (in degrees Fahrenheit, given a 30 mph wind) is given by the following
formula:
V = -26 + 1.3x
2.1 Estimate the actual temperature if the temperature
adjusted for wind chill is -35 degrees Fahrenheit.
The estimated actual temperature, when the temperature adjusted for wind chill is -35 degrees Fahrenheit, is approximately -6.923 degrees Fahrenheit.
To estimate the actual temperature if the temperature adjusted for wind chill is -35 degrees Fahrenheit, we can use the given formula:
V = -26 + 1.3x, where V represents the temperature adjusted for wind chill and x represents the actual temperature.
We are given that the temperature adjusted for wind chill is -35 degrees Fahrenheit.
Let's substitute this value into the formula and solve for x:
-35 = -26 + 1.3x
To isolate x, we can subtract -26 from both sides of the equation:
-35 + 26 = 1.3x
Simplifying the left side of the equation:
-9 = 1.3x
Now, divide both sides of the equation by 1.3:
-9/1.3 = x
Calculating the value:
x ≈ -6.923
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what is the value of the correlation coefficient between daily ice cream sales and maximum daily temperature
The correlation coefficient between daily ice cream sales and maximum daily temperature is a measure of the strength and direction of the linear relationship between these two variables.
To calculate the correlation coefficient, we need a sample of paired data that includes daily ice cream sales and the corresponding maximum daily temperature.
We can use a statistical software or a calculator to calculate the correlation coefficient. In this case, the correlation coefficient between maximum daily temperature and daily ice cream sales is 0.934, which indicates a strong positive linear relationship between these two variables.
This means that as the maximum daily temperature increases, the daily ice cream sales also tend to increase. Conversely, as the maximum daily temperature decreases, the daily ice cream sales tend to decrease as well.
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!!PLS HELP ASAP!!30 POINTS!!
Divide using synthetic division
\(x^4-3x^3-7x+1\)÷\(x+2\)
The quotient and remainder are x³ -5x² + 10x - 17 and 55.
What is Synthetic division?
When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.
Here, (x+2) is a linear factor which indicates that synthetic division can be applied.
So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.
(refer the attached solution)
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Help please
Simplify the expression: (a^5)^3 *
A.a^8
B.a^2
C.a^15
D.a^(-2)
D
Step-by-step explanation: im smart
2. Dado un número, la suma de su mitad, su doble y su triple es 55. ¿Qué número es?
Answer:
English
Step-by-step explanation:
can you speak English plzzz
we need that
Answer:
i dont speak taco ask again in english
Step-by-step explanation:
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 3, negative 5) and (0, negative 4). Everything to the right of the line is shaded. Which linear inequality is represented by the graph?
Answer:
y<= 1/3x-4
Step-by-step explanation:
Its an inequality thats why
Solve the system of equations 2x + 2y +6z = 12 5x + 3y - 3z = 14 3x + y - z = 10 Select the correct choice below and fill in any answer boxes within your choice. A . The one solution is x=___, y = ____ and z = _____ (Simplify your answers.) B. There are Infinitely many solutions. If z is allowed to be any real number, then x =____ dan y =_____ (Type expressions using z as the variable.) C. There is no solution
The correct choice is A, and the solution to the system of equations is x = 2, y = 1, and z = 1.The system of equations given is:2x + 2y + 6z = 12,
5x + 3y - 3z = 14, 3x + y - z = 10
To determine the number of solutions, we can use the concept of determinant. If the determinant of the coefficient matrix is non-zero, there exists a unique solution. If the determinant is zero and there are no inconsistencies, then there are infinitely many solutions. However, if the determinant is zero and there are inconsistencies, then there is no solution.
By calculating the determinant, we find that it is non-zero, which means the system of equations has a unique solution. Therefore, the correct choice is A.
Now, let's solve for x, y, and z. By using a method such as Gaussian elimination or matrix operations, we can find the values of x, y, and z that satisfy the given system of equations. The solution will be:
x = 2
y = 1
z = 1
Hence, the correct choice is A, and the solution to the system of equations is x = 2, y = 1, and z = 1.
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Please help, I’m so desperate for this answer. I’ve been here for two hours and no one wants to help :/ (find x)
Answer
i can't see the image can you post it again.
Step-by-step explanation:
Answer:
29 + 64 =x which is 93 for question 2
Step-by-step explanation:
Bruce flipped a penny 5 times. It landed on heads 2 times and tails 3 times. If he flips the coin a 6th time, what statement is true?
A. It is more likely to be heads.
BIt is equally likely to be heads or tails.
C. It is more likely to be tails.
D. It in not likely to be tails.
Answer:
B
Step-by-step explanation:
I would say B because they're only 2 options head and tails.
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Numerator 5 15 Denominator 8 ?
Answer:
5 15 means multiple
Step-by-step explanation:
=5×15÷8
=75÷8
=9.375
Monica thinks of a number. When she takes away 7 from 5/6 of the number, she gets 28. Find the original number she thought of.
Answer: 42
Step-by-step explanation:
5/6x - 7 = 28
Add 7 to both sides.
5/6x=35
Divide by 5/6 on both sides.
x = 42
To check your work, take 42 and multiply it by 5/6, then subtract it by 7. You shoulc end up with 28.
42(5/6) = 35
35 - 7 = 28
Answer:
42
Step-by-step explanation:
Forming an algebraic equation and solving:
Let the number she thought = 'x'
5/6 of the number : \(\sf \dfrac{5}{6}*x\)
\(\sf \text{take away 7 from $\sf \dfrac{5}{6}*x$} : \dfrac{5}{6}x - 7 \\\)
\(\sf \dfrac{5}{6}x-7 = 28\\\\\text{\sf Add 7 to both sides}\\\\ \dfrac{5}{6}x= 28 +7 \\\\ \dfrac{5}{6}x = 35\)
Multiply both sides by 6
5x = 35 * 6
Divide both sides by 5,
\(\sf x = \dfrac{35*6}{5}\\\\ x = 7 * 6\\\\\boxed{\text{\bf The number is 42}}\)