If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.
The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.
To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.
First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.
Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:
⇒ Unit price = (Total cost)/(Weight of turkey in package),
⇒ Unit price = $9/1.25 pounds,
⇒ Unit price = $7.20 per pound,
Therefore, the unit price of turkey in the package is $7.20 per pound.
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The given question is incomplete, the complete question is
A store sells a 1(1/4) pound package of turkey for $9. What is the unit price of the turkey in the package?
the national average.
If the national average for a gallon of gas is $2.59, how much
should you expect to pay for gas in Philadelphia versus
Cleveland?
A. $3.03 / $2.75
B. $1.95 / $2.59
C. $2.34 / $2.75
D. $2.75 / $3.24
Philadelphia Clevland
Overall 92 78
Food 106 106
Housing 56 27
Utilities 130 126
Transportation 117 106
Health 102 113
The correct answer is D. $2.75 / $3.24
To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:
Philadelphia: $117
Cleveland: $106
To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:
Expected Gas Price = National Average * (Transportation Expense / National Average)
National Average for gas = $2.59
For Philadelphia:
Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30
For Cleveland:
Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51
Comparing the expected gas prices, we find that:
A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.
C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.
Therefore, the correct answer is:
D. $2.75 / $3.24
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the graph of y=(1/3)x-1
Answer:
Step-by-step explanation:
four time a number is no more than one hundred and eight
Answer:
</ is what I use for equal to or less than
4x </ 108 for the inequality
x </ 27
Step-by-step explanation:
Is that what you needed?
Equation:
4x=108
'x' being the number mentioned
Solved Equation: (isolate x)
4x/4=108/4
x=27
Plzz mark me brainliest, hope this helped.
4 Cassie made a total of $58 at her bake sale. She sold 4 cookies for $I each and 18 cupcakes for $2 each She sold macarons for $3 each Which equation can be used to determine m, the number of macarons she sold worth $3?
answer chooses
A. 3m - 40= 58
B. 3m - 54= 22
C. 3m + 40= 54
D. 3m + 54= 22
Answer:
A
Step-by-step explanation:
Draw a A PQR if PQ = 6.5cm, m< PQR=75 °and m <PRQ=45° using ruler and compasses
only.
Answer:
Check your question well
Step-by-step explanation:
U didn't ask to draw angle p so how can we get the angle r
Help please I will make you as brainlist it’s emergency
Answer:
D. Only 16 and 21
Step-by-step explanation:
Plug in 16 and 21 to replace the x and the answer will be bigger than 24.
Use the given values on the table to determine a pattern and complete the table.
1st - -15
2nd- -8
3rd- -1
4th - 6
5th - ?
6th - ?
7th - ?
8th - ?
Answer:
5th - 13
6th - 20
7th - 27
8th - 34
Step-by-step explanation:
You add seven
To raise money for the music program, your choir sells programs for $.50 and CDs of its music for $5. It costs $.15 to produce each program and $1.75 for each CD. Everything sells for $400 yielding a profit of $265. How many CDs were made?
Answer:
60 CDs
Step-by-step explanation:
Given that :
Price of program = $0.5
Price of music = $5
Cost of production :
Program = $0.15 per program
CD = $1.75 per CD
Revenue made= $400
Profit made = $265
Number of CD produced =?
Let Number of CD's = x and program = y
$(0.5y + 5x) = 400
Y = (400 - 5x) / 0.5
y = 800 - 10x
Production :
$(1.75x + 0.15y)
Total cost of production - Revenue made = profit
(1.75x + 0.15y) - (5x + 0.5y) = 265
1.75x + 0.15y - 5x - 0.5y = 265
1.75x - 5x 0.15y - 0.15y = 265
3.25x + 0.35y = 265 - - - (2)
Put y = 800 - 10x in (2)
3.25x + 0.35y = 265
3.25x + 0.35(800 - 10x) = 265
3.25x + 280 - 3.5x = 265
-0.25x = - 15
x = 15/ 0.25
x = 60
the first president of the usa
Answer:
George Washington.
Step-by-step explanation:
President Washington was elected President by a unanimous election of 69 voters in 1788, and served two terms. He set about creating a strong, well-funded national government that would maintain neutrality in Europe's raging wars, quell uprisings, and gain the approval of Americans of all types. His leadership style has established many forms and rituals of government that have been used, such as the use of a cabinet system and the swearing-in of oaths. Still, the peaceful transition from his presidency to the presidency of John Adams has created a tradition that continues into the 21st century. Washington was hailed as a patriarch, even during his lifetime.
suppose the length of the pool in Example 1 is
3 times the width. How does the function that
represents the combined area of the pool and
the deck change?
Question 10 of 10
If you know the circumference of a circle, which step(s) can you follow to find
its radius?
O
A. Divide by 2, then multiply by .
B. Divide by .
C. Divide by 2.
D. Divide by , then divide by 2.
Answer: Divide by \(\pi\), then divide it by 2
Step-by-step explanation:
Circumference formula: \(\pi\)*(r*2)
\(\pi\)*(r*2)/\(\pi\)=r*2
(r*2)/2=r
So, divide by exactly pi (or 3.14), then divide by 2. DON'T divide by 2 first, then pi because you won't end up with the same answer.
Would somebody help with this?
Answer:
Both A and D
Step-by-step explanation:
Not absolutely 100%, but I think it's the answer.
Find the general solution to the following system of differential equations. x' - (13) * G = X -3
Given differential equation is;x′−13g=x−3To find the general solution of the given system of differential equations.We first find the homogeneous solution of the differential equation by neglecting the constant term which is -3.
So, the given differential equation becomes;x′−13g=x
For finding the homogeneous solution, we assume that x(t) can be expressed in terms of exponential functions.
So, we have;x(t) = ce^{mt}
Now, substitute the above value in the given differential equation;x′−13g
=xmce^{mt}−13gcce^{mt}
= mce^{mt}m−13g
=0m
= 13g
Hence, the homogeneous solution is;x_h(t) = ce^{13gt}
Now, we have to find the particular solution to the differential equation with constant term (-3)
.Let the particular solution be of the form;x_p(t) = k
From the given differential equation;x′−13g=x−3x_p′−13g(x_p)
= x−3k′−13gk
= x−3
Equating coefficients of k on both sides;13gk = −313
g = −1
k = 3
Therefore, the particular solution is;x_p(t) = 3
The general solution of the given system of differential equation is;
x(t) = x_h(t) + x_p(t)x(t)
= ce^{13gt}+3Where c is a constant.
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Please take your time and answer both questions. Thank
you!
14. Find the equation of the parabola with focus at (3, 4) and directrix x = 1. Write the equation in rectangular form. 15. Find the vertices of the ellipse: 9x² + y² - 54x + 6y + 81 = 0
The equation of the parabola with focus at (3, 4) and directrix x = 1 in rectangular form is \((x - 2)^2\) = 8(y - 3).
The distance between any point (x, y) on the parabola and the focus (3, 4) is equal to the perpendicular distance between the point and the directrix x = 1.
The formula for the distance between a point (x, y) and the focus (h, k) is given by \(\sqrt{((x - h)^2 + (y - k)^2)}\). In this case, the distance between (x, y) and (3, 4) is \(\sqrt{((x - 3)^2 + (y - 4)^2)}\).
The equation for the directrix x = a is a vertical line located at x = a. Since the directrix in this case is x = 1, the x-coordinate of any point on the directrix is always 1.
By applying the distance formula and the definition of the directrix, we can set up an equation: \(\sqrt{((x - 3)^2 + (y - 4)^2) }\)= x - 1.
To simplify the equation, we square both sides:\((x - 3)^2 + (y - 4)^2\) = (x - 1)^2.
Expanding the equation gives: \(x^2 - 6x + 9 + y^2 - 8y + 16 = x^2 - 2x + 1\).
Simplifying further, we obtain: \(x^2 - y^2 - 4x + 8y + 25 = 0\).
Rearranging the equation, we get the equation of the parabola in rectangular form: \((x - 2)^2\) = 8(y - 3).
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A company’s stock was selling at $25 a share. A month later it was selling at $30 a share. What is the percent again?
If a company’s stock was selling at $25 a share. A month later it was selling at $30 a share then percent gain is 20%.
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%". For example, if 30 out of 100 students in a class are girls, we can say that the percentage of girls in the class is 30%. In other words, 30% means 30 out of 100, or 0.3 as a decimal
To calculate the percent gain, we first need to determine the difference between the two prices, which is:
$30 - $25 = $5
Then, we can calculate the percent gain by dividing the difference by the original price and multiplying by 100:
($5 / $25) x 100% = 20%
Therefore, the percent gain is 20%.
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what is the standard deviation of a sample mean xbar ap stats
the standard deviation of a sample mean, can be calculated by dividing the population standard deviation, σ, by the square root of the sample size, n.
In statistics, the standard deviation measures the dispersion or variability of a set of data. When calculating the sample mean, from a sample of data, the standard deviation of the sample mean, is a measure of how much the sample means vary from the true population mean.The standard deviation of the sample mean is determined by dividing the population standard deviation, σ, by the square root of the sample size, n. Mathematically, it can be expressed as:
sample mean = σ / √n,Where σ is the population standard deviation and n is the sample size.
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Which of the following numbers written in scientific notation is the least? A. -8 × 10-6 B. -5 × 10-5 C. -3 × 10-5 D. -6 × 10-6
The least number will have the smallest magnitude because each of equation these numbers has a distinct magnitude. Option A, which has a value of -8 10-6, is the least amount.
What is equation?In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. Through a mathematical statement, algebraic equations show that two mathematical expressions are equal. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. To comprehend the relationship between the two lines written on the opposing edges of a letter, use a mathematical formula. The logo and the specific program tend to correspond most of the time. An illustration would be 2x - 4 = 2.
We must compare the magnitudes of the provided numbers, which are their absolute values, in order to compare the numbers presented in scientific notation. By dividing the coefficient by a multiple of 10, you can determine the magnitude of a number in scientific notation.
So, using the values provided:
A's magnitude is |-8 10-6| or 8 10-6.
B's magnitude is [5 10-5] = 5 10-5, and C's is [3 10-5] = 3 10-5
D's magnitude is equal to |-6 10-6| or 6 10-6.
The least number will have the smallest magnitude because each of these numbers has a distinct magnitude. Option A, which has a value of -8 10-6, is the least amount.
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Which two angles do NOT represent adjacent angles?
A 21 and 26
B 23 and 22
C23 and 24
D 25 and 22
what is the calculation for 70 increased by 9%
Andrew has pencils and erasers. The ratio of the number of
his pencils to the number of his erasers is 2:6. If Andrew has
36 erasers, how many pencils does Andrew have?
pencils
Enter the answer
Answer:
12 pencils
Step-by-step explanation:
36/6 = 6
you need to divide 36 by 6 as there are 36 pencils.
= 2 * 6 = 12
What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?
3x - 4y = -17
3x - 4y = -20
4x + 3y = -2
4x + 3y =-6
Step-by-step explanation:
Let, the given point of the equation of the line are (3,-1) and (0,3) i.e
(x1,y1)=(3,-1) and (x2,y2) = (0,3)
Now,
The slope of the line (m1) = y2-y1 ÷ x2-x1
= 3-(-1) ÷ 0-3
= 3+1 ÷ -3
= 4/-3
since, the lines are parallel i.e.
m1 = m2
or, m2 = -4/3
Again,
The required equation of the line passing through the point (-3,2)=(x1,y2) is
y-y1 = m2(x-x1)
or, y-2 = -4/3 ( x +3)
or, 3(y-2) = -4(x+3)
or, 3y-6 = -4x - 12
or, 4x+3y = -12+6
Therefore, 4x+3y = -6 is the right answer.
Please help legit things only or you get banned thanks!!!!!!!!!!!!!
The remains of an ancient ball court include a rectangular playing alley with a perimeter of about 24m. The length of the alley is three times the width. Find the length and the width of the playing alley.The width is ? m and the length is ? m
ANSWER
Length of the playing alley = 9m
Width of the playing alley = 3m
STEP-BY-STEP EXPLANATION:
Given information
The perimeter of a rectangular playing alley = 24 m
The length of the alley is three times the width
Let l represents the length of the alley
Let w represents the width of the alley
Step 1: Write the formula for calculating the perimeter of a rectangle
\(\text{Perimeter of a rectangle = 2(l + w)}\)Where l is the length and w is the width of the rectangle
Recall, length = 3 times the width of the alley
Mathematically,
\(\begin{gathered} l\text{ = 3 }\times\text{ w} \\ l\text{ = 3w} \end{gathered}\)Step 2: Substitute the value of l = 3w into the above formula
\(\begin{gathered} P\text{ = 2(l + w)} \\ p\text{ = 24m} \\ l\text{ = 3w} \\ 24\text{ = 2(3w + w)} \end{gathered}\)Step 3: Solve for w
\(\begin{gathered} 24\text{ = 2(4w)} \\ 24\text{ = 8w} \\ \text{Divide both sides by 8} \\ \frac{24}{8}\text{ = }\frac{8w}{8} \\ w\text{ = 3 m} \end{gathered}\)From the calculations above, you will see that the width of the playing alley is 3m
Step 4: Solve for l
\(\begin{gathered} \text{Recall, l = 3w} \\ w\text{ = 3} \\ l\text{ = 3 }\times3 \\ l\text{ = 9m} \end{gathered}\)Hence, the length of the playing alley is 9m
what is the area of a circle with radius of 7cm using 3.14 for pi and round to he nearest tenth plz hurry
Answer:153.9 cm
Step-by-step explanation:
The area of a circle is found by pi × radius squared and pi is aprox 3.14 so 3.15×7² = 153.86 then round off to the nearest tenth you get 153.9
Express the statement as an algebraic expression, enter the answer in the box.
The total cost, in dollars, of 4 pencils and 5 pens if each pencil costs w cents and each pen costs 2w cents.
4w+5(2w)=t
You would multiply 4 by w (as it represents the number of cents each pencil costs), multiply 5 by 2w (as it represents the number of cents each pen costs), and then add them both. t would represent "total."
"My weight is 130 pounds and my height is 5'2 How can I solve
questions 1 and 2?
2. Record your weight and height in imperial and metric units (dream values ok to use!). Use the the following conversion factors: \( 1 \mathrm{lb}=0.45 \mathrm{~kg} ; 1 \) inch \( =0.0254 \mathrm{~m}"
To solve questions 1 and 2, convert your weight of 130 pounds to 58.5 kilograms by multiplying by 0.45. Convert your height of 5'2" to 1.57 meters by converting feet to inches and then to meters using the provided conversion factor.
For question 1, convert your weight from pounds to kilograms by multiplying it by the conversion factor 0.45 kg/lb. In this case, 130 pounds would be equal to 58.5 kilograms (130 * 0.45).
For question 2, convert your height from feet and inches to meters. First, convert your height in feet to inches by multiplying it by 12 (since 1 foot = 12 inches). Then, add the inches to the total. Next, convert the total inches to meters by multiplying it by the conversion factor 0.0254 m/inch.
In this case, 5 feet and 2 inches would be equal to 1.57 meters ((5 * 12 + 2) * 0.0254).
By converting your weight to kilograms and your height to meters, you can now express your weight and height in metric units.
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This question is from my final exam review:
Let n be a randomly selected integer from 1 to 15. Find P(n < 10 | n is prime). Round to the nearest hundredth and put your answer as a DECIMAL. So, if your answer is 37%, then put .37 in the answer box.
The probability P(n < 10 | n is prime) is 4/6, which simplifies to 2/3 or approximately 0.67 (rounded to the nearest hundredth).
To find the probability P(n < 10 | n is prime), we need to determine the number of prime integers less than 10 and divide it by the total number of integers from 1 to 15 that are prime.
The prime numbers less than 10 are 2, 3, 5, and 7. So, there are 4 prime numbers less than 10.
The total number of integers from 1 to 15 that are prime is 6 (2, 3, 5, 7, 11, and 13).
As a result, the chance P(n 10 | n is prime) is 4/6, which can be expressed as 2/3 or, rounded to the nearest hundredth, as around 0.67.
Thus, 0.67 is the answer.
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Solve the system using the elimination method. - Which one should I do first
3x-4y+z=-5
6x-4y+z=1
x+y+z=6
Answer:
first equation and second equation
Step-by-step explanation:
it is more easier because both of them have the same y
Answer:
Use equation (1) and equation(2) and eliminate 4y+z
Step-by-step explanation:
3x-4y+z=-5 ...(1)
6x-4y+z=1 ...(2)
x+y+z=6 ...(3)
First, you find the equation that you can use the elimination method on;
there are multiples of them.
However, I would use equation (1) and equation(2) and eliminate 4y+z :
3x-4y+z=-5
- 6x-4y+z=1
-3x=-6
x=2
As you can see, both the terms with y and z are eliminated in one step, exposing the variable x.
From here is just my advice:
There are multiple ways for you to answer this question. In math, the process may sometimes not matter if the answer was correct. Nevertheless, you should try finding one way that fits you or makes it easier to solve. I personally think that how I have been trying this helped me later when math got more complicated. (Also, it was fun for me to find another way that I was not taught of)
GOOD LUCK!! and I HOPE THIS HELPS YOU!!!!
If 10 healthy adults who received the influenza vaccination are randomly selected, the mean and standard deviation for the number protected from laboratory-confirmed influenza are 7.6 people and 1.5 people respectively
If 10 healthy adults who received the influenza vaccination are randomly selected, on average, 7.6 of them will be protected from laboratory-confirmed influenza. The actual number protected might vary by about 1.5 people from the average value.
If 10 healthy adults who received the influenza vaccination are randomly selected, the mean and standard deviation for the number protected from laboratory-confirmed influenza are 7.6 people and 1.5 people, respectively.
The mean, also known as the average, represents the central tendency of a set of values. In this case, it tells us that, on average, out of the 10 adults who received the influenza vaccination, 7.6 of them were protected from laboratory-confirmed influenza.
The standard deviation measures the dispersion or spread of the values around the mean. In this case, the standard deviation of 1.5 people tells us that the number of adults protected from laboratory-confirmed influenza varied by about 1.5 people from the average value of 7.6.
To better understand this, let's consider some examples: If we have a group of 10 adults, it is possible that all of them are protected from laboratory-confirmed influenza. Alternatively, some adults might not be protected, while others might be protected. The standard deviation of 1.5 tells us how much the actual number of adults protected might vary from the average value of 7.6.
In summary, if 10 healthy adults who received the influenza vaccination are randomly selected, on average, 7.6 of them will be protected from laboratory-confirmed influenza. The actual number protected might vary by about 1.5 people from the average value.
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A consumer watchdog organization estimates the mean weight of 1-ounce "Fun-Size"
candy bars to see if customers are getting full value for their money. A random sample
of 25 bars is selected and weighted, and the organization reports that a 95% confidence
interval for the true mean weight of the candy bars is 0.982 to 0.988 ounces.
a) What is the point estimate (=sample mean) from this sample?
b) What is the margin of error?
(Hint: find the distance between the sample mean and the upper limit).
c) Interpret the confidence level of 90% in the context of the problem?
Point estimate from the sample is 0.985, margin error is 0.003.
What is Confidence Interval?Confidence interval is defined as the interval which is the estimate for the parameter of the sample or population to be contained.
(a) To calculate point estimate or sample mean :
Point estimate is the mid point of the confidence interval.
Given that true mean weight of candy bars is 0.982 ounces to 0.988 ounces.
Point estimate = (0.982 + 0.988) / 2 = 1.97 / 2 = 0.985
(b) Margin error is the one half of the total width of the interval.
Margin error = (0.988 - 0.982) / 2 = 0.003
(c) The confidence level of 90% in this problem can be interpreted as , if we do the interval construction for many times, about 90% of the total constructed intervals has the true population mean of weight of fun size candy bars.
Hence the point estimate and margin error are 0.985 and 0.003 respectively.
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