The total price of four oranges and five pears is $32 while the total price of three oranges and two pears is $17. How much is a pear?
Answer:
A pear is 3.4
Step-by-step explanation:
Answer: A pear cost $4.
Step-by-step explanation:
If the total price of four oranges and five pears is $32 then we could represent it by the equation 4x + 5y = 32 where x is cost of one orange and y is the cost of one pear.
The same way we could represent the second statement by the equation
3x + 2y = 17
We know have the two systems of equations:
4x + 5y = 32
3x + 2y = 17 Solve using the elimination method
Multiply the top equation by -3 and the down equation by 4 to eliminate x.
-3(4x + 5y) = -3(32) = -12x - 15y = -96
4(3x +2y) = 4(17) = 12x + 8y = 68
We now have the two new equations:
-12x -15y = -96 Add both equations
12x + 8y = 68
- 7y = -28
y= 4
Which means the cost of one pear is $4.
Does this graph represent a function?
Does this graph represent a linear rule?
Explain your answer!
PLS HELP THIS IS TEST
Answer:
it is a function because it passes a vertical line test.
Step-by-step explanation:
Juan went out to eat dinner, and the meal cost $60.00. If Juan received an 18% discount, what was the total value of the discount?
Answer:
The total value of the discount was $10.80.
Step-by-step explanation:
Since we are finding the value of the discount, we just need to find 18% of 60.
We can convert 18% into a decimal.
18%=0.18
Multiply.
0.18*60=10.8
The total value of the discount was $10.80.
Suppose a random sample of size 50 is selected from a population of values with a standard deviaiton of 10. What will be the standard error of the sample mean if the population size is 500
If the population size is 500, then the standard error of the sample mean is approximately 0.447.
The standard error of the sample mean is a measure of how much the sample mean differs from the true population mean on average. The formula for calculating the standard error of the sample mean is:
SE=σ/√n
where σ is the standard deviation of the population, n is the sample size.
Using the given values, we can calculate the standard error of the sample mean as follows:
σ = 10
n = 50
SE = σ/√n = 10/√50 = 1.41
When the population size is very large relative to the sample size (n), the standard error of the sample mean can be approximated as:
SE=σ/√N
where N is the population size.
Using the given values, we can calculate the approximate standard error of the sample mean as follows:
N = 500
σ = 10
SE = σ/√N = 10/√500 = 0.447
Thus, the standard error of the sample mean, when the population size is 500, is approximately 0.447.
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Por favor help me . I’m struggling on this specific topic and need to know how to resolve it. Thanks in advance
Using the graph of h we get (a) Value of function h at x=5 is 8
(b) Limit of h(x) at x=5 does not exist
(c) Value of function h at x=7 is 4
(d) Limit of h(x) at x=7 does not exist
(e)Limit of h(x) at x=8 is 5
What is limit of a function how to find limit using graph?Limit : Limit is the value that a function output approaches as the input approaches to a certain value.
For any function g(x) , \(\lim_{x \to \22} g(x)\) refers to the value that the g(x) approaches as the x approaches to 2 from either left hand side or from right hand side
From any graph we can easily see that to what value g(x)=y on the curve is approaching when the x is approaching to some value on x axis and if the graph is splitting into different functions on the value of x where x is approaching then the limit does not exist for that value of x.
For given graph h(x)
We can see value of value of function h at x=5 is 8 and value of function h at x=7 is 4
As the graph of h(x) has a hole in the graph when x=5, breaking its function into two different function on x=5 then or limit of h(x) at x=5 does not exist
As the graph of h(x) has a hole in the graph when x=7, breaking its function into two different function on x=7 then or limit of h(x) at x=7 does not exist
As the graph is not breaking at x=8or we can say that graph of g(x)is approaching to 5 as x approaches to 8 then limit of h(x) at x=8 is equal to g(1) that is 5
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21x + 862=? x= 4 I know how to do it but im too lazy to do it
946
Hope this helps o(*^▽^*)┛
For a given set of populations and house sizes, different methods of apportionment
may lead to different apportionments.
True
False
Answer: the answer should be true
The long jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of wood to frame the pit. Each piece of wood provided measures 6 feet, which is approximately 1.8287 meters. 2.75 meters 9.54 meters.
Determine the amount of wood, in meters, needed to rebuild the frame.
The long jump pit was recently rebuilt to make it level with the runway. the amount of wood, in meters, is 12.29 meters.
What is the amount of wood, in meters, needed to rebuild the frame.?Generally, To determine the amount of wood needed in meters, you will need to convert the length of each piece of wood from feet to meters. You can use the conversion factor that 1 foot is equal to approximately 0.3048 meters.
To convert the length of the wood from feet to meters, you can use the formula:
length in meters = length in feet * 0.3048
Using this formula, you can calculate that 2.75 meters is equal to approximately 9 feet, and 9.54 meters is equal to approximately 31.25 feet.
Therefore, the total amount of wood needed in meters is 2.75 meters + 9.54 meters = 12.29 meters.
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\(128^3+272^3 /128^2-128*272+272^2\)
wait do you want it step by step or just the answer?
the answer is 400
Which shows the list of numbers in order from least to greatest?
|-4.2|, |-4/5|, |-1|, -2, |3.5|
A. -2, |-4/5|, |-1|, |3.5|, |-4.2|
B. -2, |-1|, |3.5|, |-4.2|, |-4/5|
C. -2, |-4/5| |-1|, |-4.2|, |3.5|,
D. |3.5|, |-4/5|, -2, |-1|, |-4.2|,
Answer:
The answer is A.-2, |-4/5|, |-1|, |3.5|, |-4.2|
Step-by-step explanation:
Please help me with this question
Answer:
x = 21.8°
Step-by-step explanation:
tan = opposite / adjacent
tan x = 8/20
tan^-1 = 21.8°
Who took tiny pieces of mail across country over a hundred years ago?
The estimated number of pieces of mail are sent each year worldwide is equal to 425 billion.
Percent of world's total mail US Postal Service handles = 40% .
Let X be the total number of pieces of mail sent worldwide each year.
The US Postal Service handles pieces of mail each year = 170,000,000,000 .
Which is equal to 40% of X.
Required equation for the estimated data we have,
170,000,000,000 = 0.4X
Solve for X.
Divide both sides of the equation by 0.4 we get,
⇒ X = 170,000,000,000 / 0.4
⇒ X = 425,000,000,000
Therefore, it is estimated that approximately 425 billion pieces of mail are sent each year worldwide.
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The given question is incomplete, I answer the question in general according to my knowledge:
The U.S postal service handles 170,000,000,000 pieces of mail each year. this is 40% of the worlds total. How many pieces of mail are sent each year?
Which of the following statements is true for a function with equation f(x) = 5(3)x?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
What is the function?A function in mathematics is a connection between a set of inputs (sometimes referred to as the domain) and a set of outputs (also referred to as the range). Each input value is given a different output value.
The y-intercept lies at (0, 5) because the value of the function at x=0 is 530 = 5. The 'constant ratio' is 3, meaning that any increment of 1 in x causes the function value to grow by a factor of 3. (That serves as the exponential term's foundation.)
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Missing parts;
Which of the following statements is true for a function with equation f(x) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.
3, 7, 4, 3, 2, 0,6 What is the median?
Answer:
the median would be 3
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!
Answer: 5 up 10 over
Step-by-step explanation:
I had this on my quiz
SOLVE FOR X please help !!!!!!!!!!!
think of it as half a circle which all equals up to 180 degrees
subtract 180 degrees with 62 degrees which 62 degrees is in the problem.
180-62=118 degrees
so your answer is C) 118 degrees
hope that helped you out:)
Please mark my answer brainiest
5. Find the distance between (5,7) and (-3,2)
Answer:
\(\sqrt{89}\)
Step-by-step explanation:
You want to use the distance formula which is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
So if you just plug in the numbers correctly and solve correctly then you should get \(\sqrt{89}\)
Where does the plus minus come from (+-) ???
pls I need help
the idea of the ± in an even root, well, square root is an even root, however 4th, 6th and so on are also even roots and this applies to all even roots, is that, even root of some number say "x" is "y", that means that if we squared "y", we'd get "x", but but but if we square the negative of "y", we'd also get the same "x", so either the positive or negative version will really give us "x", that's a bit mumbled, let's put it this way
\(\sqrt{16}=4\implies 16=4^2\qquad \textit{well, to be honest}\qquad 16=(-4)^2\qquad too \\\\\\ \textit{how do we know }\text{\LARGE 16}\textit{ came from }(+4)^2 ~~ or ~~ (-4)^2 ~~ ?\quad \textit{ we really don't know} \\\\\\ \textit{so we } incl ude \textit{ both and say }16=(\pm 4)^2\implies \sqrt{16}=\pm 4\implies \mp\sqrt{16}=4\)
so the even root could have come from either the negative or positive version of the same value, because once the power is even, any negatives will turn to positives.
Please help ASAP T-T Will mark brainiest if you answer correctly and show all your work! Random answer will be reported. Thank you!
Answer:
This is "vanessahu2007" 's another account. I answer this question in order to mark "eliamns" brainiest. Please do not report.
Step-by-step explanation:
factorial calculator create a program that calculates the factorial of the number entered by the user
In order to create a program that calculates the factorial of the number entered by the user, follow the steps given below:
Step 1: Start the program.
Step 2: Take input from the user in the form of an integer.
Step 3: Initialize a variable to store the factorial of the input integer. Let's name it 'fact'.
Step 4: Assign the value of fact to 1.
Step 5: Start a for loop and run it from 1 to the input integer. Assign the loop variable to i.
Step 6: Inside the loop, update the value of fact as fact=fact*i.
Step 7: End the loop.
Step 8: Print the value of fact as output.
Step 9: End the program.
Here is the code that implements the above steps:
import java. util.Scanner;
public class Main {public static void main(String[] args)
{
Scanner input = new Scanner(System.in);
System. out.println("Enter a number: ");
int n = input.nextInt();
int fact = 1;
for (int i=1; i<=n; i++)
{
fact = fact * i;
}
System.out.println("Factorial of "+n+" is "+fact);
}
}
The above program first prompts the user to enter a number.
Then it calculates and prints the factorial of the number entered by the user using the formula given below:
n! = n*(n-1)*(n-2)*...*3*2*1
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Sean and his mom will start running around in one mile track at the same time. Sean runs one mile every 8 minutes his mom runs 1 mile every 10 minutes and how many minutes will they be together at the starting line again
Answer:
80 minutes
Step-by-step explanation:
You multiply 8 x 10 = 80
-6x -6= help pls i don’t understand
The answer here is \(x=-1\)
\(Explanation\)
___________________________________________________________
\(-6x -6 = 0\)
\(-6x - 6 +6 = 0+6\)
\(-6x = 6\)
\(-6x/-6 = 6/-6\)
\(x = -1\)
Give the geometric representation of 2x+ 1= x-4 as an equation in (a) one variable (b) two variables
please help
Answer:
Step-by-step explanation:
2x+1=x-4
2x-x= -4-1
1x=-5
x=-5luke earned a score of 850 on exam a that had a mean of 750 and a standard deviation of 50. he is about to take exam b that has a mean of 38 and a standard deviation of 5. how well must luke score on exam b in order to do equivalently well as he did on exam a? assume that scores on each exam are normally distributed.
To determine how well Luke must score on exam B in order to do equivalently well as he did on exam A, we need to first standardize his score on exam A using z-scores.
A z-score represents the number of standard deviations a given data point is away from the mean. The formula for calculating z-scores is:
z = (x - μ) / σ
where x is the data point, μ is the mean, and σ is the standard deviation.
In this case, Luke's score on exam A has a z-score of:
z = (850 - 750) / 50 = 2
This means that his score on exam A is 2 standard deviations above the mean.
To do equivalently well on exam B, Luke needs to achieve a score that has the same z-score of 2. We can use the formula for z-scores again to determine what score he needs to achieve:
2 = (x - 38) / 5
Solving for x, we get:
x = 48
Therefore, Luke needs to score 48 on exam B in order to do equivalently well as he did on exam A.
It's important to note that we're assuming that the distributions of the two exams are both normal distributions. If this assumption is not valid, then our answer may not be accurate.
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How many times larger is (5.4×10^6)than (9×10^3)?
Answer:
600 times
Step-by-step explanation:
5400000 ÷ 9000 = 600
Determine whether an observational study or an experimental study is used. Two groups of grocery shoppers were randomly selected. The individuals in Group shopped at a health food supermarket. Group individuals shopped at a neighborhood grocery store. At the end of one month, the average food costs of the two groups were compared.
Since the researcher is merely observing and comparing existing groups without any manipulation or intervention, this study is classified as an observational study.
In an observational study, the researcher observes and collects data on existing groups or individuals without intervening or manipulating any variables. In this case, the researcher selected two groups of grocery shoppers (one group shopping at a health food supermarket and the other at a neighborhood grocery store) and observed their food costs over a month. The researcher did not control or manipulate any factors or assign participants to specific groups.
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a doctor knows that the disease meningitis causes the patient to have a stiff neck 50 % of the time. the doctor also knows that the probability that the patient has meningitis is 1 in 50,000. and the probability that any patient has stiff neck is 1 in 20. find the probability that a patient with the stiff neck has meningitis.
The probability that a patient with a stiff neck has meningitis is very low at 0.002%.
To find the probability that a patient with a stiff neck has meningitis, we can use Bayes' theorem.
Let A be the event that the patient has meningitis and B be the event that the patient has a stiff neck.
We know that P(B|A) = 0.5, meaning that if a patient has meningitis, there is a 50% chance they will have a stiff neck. We also know that P(A) = 1/50,000, meaning that the probability that any patient has meningitis is 1 in 50,000. Additionally, we know that P(B) = 1/20, meaning that the probability that any patient has a stiff neck is 1 in 20.
Using Bayes' theorem, we can find the probability that a patient with a stiff neck has meningitis:
P(A|B) = P(B|A) * P(A) / P(B)
P(A|B) = 0.5 * (1/50,000) / (1/20)
P(A|B) = 0.00002 or 0.002%
Therefore, the probability that a patient with a stiff neck has meningitis is very low at 0.002%.
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Simplify the expression.
x - 9 - 5x+7 - 2y
Answer:
add the like terms then look for a gcf to take out atleast for this one
so -9+7= -2
-5x + 1x = -4x
and -2y
we can take -2 out of all those
so our answer is -2(2x+y+1
Which are solutions of 1 < 3x – 2 < 13?
Answer:
0.076 or 4.409 try both its one of those two
Step-by-step explanation:
what digit in the thousands place in the decimal 5765.903
Answer: 5
Step-by-step explanation:
5765.903
going backwards-in front of the decimal -5 ( ones place) 6 (tens place) 7 ( hundreds) 5 (thousands) .
.9 ( tenths) 0 (hundredths) 3 (thousandths)