Answer:
3/6=7/2/7 the blank is 7/2
It took 6 minutes to pick 24 apples. How many apples could be picked in 8 minutes at the same rate? Dennis said, "I should divide 24 by 6 to get a rate of 4 apples per minute. So, if I multiply 4 apples per minute by 8 minutes, the answer would be 32 apples." Which statement best describes Dennis' reasoning? A. Dennis is correct. B. Dennis is incorrect because he should've devided 6 by 24 to find the answer.. C. Dennis should have divided 8 by 4. D. He should've added 2 to 24.
It would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.
Dennis' reasoning is incorrect.
To determine the rate of picking apples per minute, Dennis correctly divided the total number of apples (24) by the time it took (6 minutes), resulting in 4 apples per minute. However, his approach to calculating the number of apples that could be picked in 8 minutes is flawed.
Dennis multiplied the rate of picking apples per minute (4 apples) by the given time (8 minutes), assuming that the rate remains constant. This approach would be valid if the rate of picking apples per minute were constant, but in this scenario, it is not necessarily the case.
The rate of picking apples could vary depending on factors such as fatigue, efficiency, or other variables. Therefore, it is not accurate to assume that the rate of picking apples per minute remains the same over a longer duration of time.
To determine the number of apples that could be picked in 8 minutes, it would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.
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SOMEONE PLEASE HELP ME QUESTION 5 2 PARTS IN THE PICTURE!!!!!
Answer:
x ≥ 6; see below for a graph
Step-by-step explanation:
First inequality
7x -6 > 8
7x > 14 . . . . . . add 6
x > 2 . . . . . . . .divide by 7
Second inequality
3x+4 ≥ 22
3x ≥ 18 . . . . . . subtract 4
x ≥ 6 . . . . . . . . divide by 3
The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)
The solution to the inequalities is x ≥ 6.
__
Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.
Solve using elimination.
-2x - 5y = -2
-x - 5y = -11
Answer:
x = -9
y = 4
Step-by-step explanation:
-2x - 5y = -2
-x - 5y = -11
Time the second equation by -2
-2x - 5y = -2
2x + 10y = 22
5y = 20
y = 4
Now put 4 in for y and solve for x
-2x - 5(4) = -2
-2x - 20 = -2
-2x = 18
x = -9
Let's check
-2(-9) - 5(4) = -2
18 - 20 = -2
-2 = -2
So, x = -9 and y = 4 is the correct answer.
( 2x^2-xy-3y^2)/(2x^2-11xy+12y^2)
Answer:
x+y over x-4y
Step-by-step explanation:
i know math
If the perimeter of the square is 48 m. Find the area of a
circle whose circumference is the same as the square.
The area of the circle is 201 m².
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.So, the area of the circle:
The perimeter of square: 4aCircumference of the circle: 2πrWe know that 4a = 2πr, now calculate r as follows:
4a = 2πr48 = 2πrr = 48/2πr = 48/2(3.14)r = 48/6.28r = 7.64Rounding off: 8m
Area of circle:
πr²3.14(8)²3.14(64)200.96Rounding off: 201 m²
Therefore, the area of the circle is 201 m².
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Lonnie has three whole packages of pasta and 1/3 of a fourth package of pasta he writes the amount of packages of pasta as three and three over four, explain and correct Lonnie’s error
To correct the error, Lonnie should write 3 3/4 instead of three and three over four.
What is the fraction?A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.
Here,
Lonnie has made a mistake in writing the number of packages of pasta. The correct way to write the amount of pasta is 3 3/4 packages. The fraction 1/3 of a fourth package of pasta means that Lonnie has 1/3 of the fourth package and the three whole packages, making it a mixed number, which is a whole number and a fraction combined. To correct the error, Lonnie should write 3 3/4 instead of three and three over four.
Thus, to correct the error, Lonnie should write 3 3/4 instead of three and three over four.
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a city department of transportation studied traffic congestion on a certain highway. to encourage carpooling, the department will recommend a carpool lane if the average number of people in passenger cars on the highway is less than 2 2 . the probability distribution of the number of people in passenger cars on the highway is shown in the table. number of people 1 1 2 2 3 3 4 4 5 5 probability 0.56 0.56 0.28 0.28 0.08 0.08 0.06 0.06 0.02 0.02 based on the probability distribution, what is the mean number of people in passenger cars on the highway? responses 0.28 0.28 0.28 0.56 0.56 0.56 1.7 1.7 1.7 2 2 2 3
The mean number of people in passenger cars on the highway is 1.7.
The mean is a measure of central tendency that represents the average value of a set of data. In the context of probability distributions, the mean is also referred to as the expected value. It is calculated by multiplying each possible value of the random variable by its probability of occurrence and summing up the products
To find the mean number of people in passenger cars on the highway, we need to multiply each possible number of people by its corresponding probability, and then add up these products.
So,
mean = (1 * 0.56) + (2 * 0.28) + (3 * 0.08) + (4 * 0.06) + (5 * 0.02)
mean = 0.56 + 0.56 + 0.24 + 0.24 + 0.1
mean = 1.7
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jill counted 20 pigs and chickens in the farmyard. jack counted a total of 54 legs for the 20 animals. how many pigs and how many chickens were there?
As average animal has four legs, there were ten pigs and ten chickens, giving a total of 54 legs: 10 x 4 = 40 legs, 10 x 2 = 20 legs.
10 pigs and 10 chickens were present. 10 pigs have 4 legs each, for a total of 40 legs. 10 chickens have 2 legs each, for a total of 20 legs. 40 + 20 = 54 legs. Jill counted the animals in the farmyard and found twenty. The 20 animals had a total of 54 legs, according to Jack. We can perform a straightforward step-by-step computation to determine the number of pigs and chicks present. Since each pig has four legs, we may generate 40 legs by multiplying the number of pigs, 10, by 4. Similar to humans, chickens have two legs each, so multiplying 10 by 2 results in 20 legs. The sum of the two figures gives us 54 legs, which is the same as Jack's estimate. Hence, the farmyard contained 10 pigs and 10 hens.
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At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and standard deviation of 0.1 cm. A random sample of 12 computer chips is taken.
Above what value do 2.5% of the sample means fall?
A. 1.051
B. 1.960
C. 1.645
D. 1.053
E. 1.057
The correct option is D, the 2.5% of the sample means falls above 1.053
Above what value do 2.5% of the sample means fall?To determine the value above which 2.5% of the sample means fall, we need to calculate the z-score corresponding to the 2.5th percentile of the standard normal distribution.
The formula for the z-score is given by:
z = (x - μ) / (σ / √n)
Where:
x is the value we want to find,μ is the population mean (1 cm in this case),σ is the population standard deviation (0.1 cm in this case),n is the sample size (12 in this case).To find the z-score corresponding to the 2.5th percentile, we look up the z-score in the standard normal distribution table or use a calculator. The z-score that corresponds to the 2.5th percentile is approximately -1.96.
Now, we can solve for x using the formula:
-1.96 = (x - 1) / (0.1 / √12)
Multiplying both sides by (0.1 / √12):
-1.96 * (0.1 / √12) = x - 1
Simplifying the left side:
-1.96 * 0.1 / √12 ≈ -0.05385
Adding 1 to both sides:
-0.05385 + 1 ≈ 0.94615
Therefore, the value above which 2.5% of the sample means fall is approximately 0.94615 cm.
None of the provided answer choices match this value exactly. However, the closest option is: D. 1.053
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Which of the following is a foci of x^2/16-y^2/4=1
Answer:
x(8;2)
Step-by-step explanation:
i think that
Name the minor arc and find its measure.
Answer: Choice B
\(\overset\frown{AB} ; \ 115\)
=================================================
Explanation:
The measure of any minor arc is always less than 180 degrees. So it will have a smaller measure than a semicircle. Arc ADB is over 180 degrees, so we can rule that out. Minor arc AB is the measure from A to B following the shorter path along the circle, which would be 115 degrees (the longer path would be 360-115 = 245 degrees)
In other words, the central angle ACB is equal in measure to minor arc AB. Both describe the same basic idea when it comes to circles and their angle measures.
Answer:
unit 5 lesson 10 area unit test
Step-by-step explanation:
1. a 60 cm
2. b m<1 = 45 m<2 67.5
3. b 7/2 49/4
4. c 247.7 in
5. b ab 115
6. a 30 pi in
7. b 10.89 pi m2
8. c 16.5 m2
9. d 270 pi + 81 sq 3 m2
please help, i would really appreciate your help
Answer:
x = 7
Step-by-step explanation:
Since the lines are parallel, we know that the two angles are equal. So you can write (7x - 4) = (5x + 10). Then you just solve for x.
7x - 4 = 5x + 10
add 4 from both sides to get
7x = 5x + 14
subtract 5x from both sides to get
2x = 14
divide both sides by 2 to get
x = 7
Corresponding angles are Same
7x-4=5x+107x-5x=10+42x=14x=14/2x=7what do you think about stopping the line? what is the cost of a chord pull resulting in a stoppage of 1 minute? 30 minutes? 60 minutes? do you think the line should be stopped when the station identifies a defective seat?
The decision to stop the line depends on the cost associated with a chord pull resulting in a stoppage. The cost of a one-minute stoppage, 30-minute stoppage, and 60-minute stoppage needs to be considered. Whether the line should be stopped when a defective seat is identified depends on the cost of the stoppage compared to the potential consequences of allowing a defective seat to proceed.
When considering whether to stop the line, the cost of a stoppage is a crucial factor. The cost can vary depending on the duration of the stoppage. A shorter stoppage may have a lower cost compared to a longer stoppage. It is important to assess the impact of the stoppage on productivity, labor costs, and potential revenue loss during the halted production. Additionally, the decision to stop the line when a defective seat is identified depends on the consequences of allowing a defective seat to continue down the line. If a defective seat could lead to safety concerns, product recalls, or customer dissatisfaction, it may be necessary to stop the line to address the issue promptly. However, if the potential consequences of allowing a defective seat to proceed are minimal or can be rectified at a later stage, it might be more efficient to continue production and address the defect during subsequent processes. Ultimately, the decision to stop the line should be based on a careful evaluation of the cost of the stoppage in relation to the potential risks and consequences associated with allowing a defective seat to progress further down the production line.
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This year, Zachary has been babysitting his young cousins after school for $70 a month. His uncle also
gave him an extra bonus of $100 for his excellent work. Since school started, Zachary has earned more
than $500. How many months ago did school start?
Answer:
8
Step-by-step explanation:
A boat is 450 m from the foot of a cliff that is 110 m high. Find the angle of elevation of the top of the cliff from the boat. Include a diagram to illustrate your answer.
I will willingly give brainliest to any answers that include a diagram and a detailed explanation.
Answer:
The diagram is omitted--please sketch it to confirm my answer.
Set your calculator to degree mode.
\( \tan( \alpha ) = \frac{110}{450} \)
\( \alpha = {tan}^{ - 1} \frac{11}{45} = 13.74 \: degrees\)
The angle of elevation is 13.74°.
Graph y = 1 - x 2 and y = e -x on the same set of coordinate axes. Use the graph to find the positive solution of the equation 1 - x 2 = e -x to the nearest tenth. Will Give Brainlest
Ok Give Brainliest Ty :)
it takes 6 painters 4 1/2 hours to paint these classrooms .calculate how long 3 painters will take to compete the same job . is this direct or indirect proportion
Answer:
9 hours
Step-by-step explanation:
What is the answer to this- 76.2 divided by 18.4 ?
Answer:
-4.14130434783
Step-by-step explanation:
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
\(-16t^2 +170t+40=10\\\\16t^2 -170t-30=0\\ \\ t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)\)
This histogram shows the number of peanuts per bag of trail mix. Choose ALL statements about the data that are true? A) The most common range of peanuts per bag is 30-39. B) There are more bags with 10-19 peanuts than 40-49. C) The least common range of peanuts per bag is 10-19. D) The ranges with the same number of bags are 10-19 and 40-49. E) The ranges with the same number of bags are 20-29 and 50-59.
Answer:
A), C), E)
Step-by-step explanation:
For any correlation, people often assume that change in one quantity causes change in the second quantity. This is not always true. For each situation, do you think that change in the first quantity causes change in the second quantity? What else may have affected the change in the second quantity?
number of miles driven and fuel expenses
For the given situation, we can clearly say that the change in one quantity will also cause a change in the second quantity.
Correlation is a relationship between the values of two variables. A scatter plot is a useful tool for displaying data about two variables as a series of points in the x and y plane and determining whether there is a correlation between the variables.
Causality means that one event causes another. Well-designed experiments can only determine causality. In such experiments, similar groups receive different treatments, and the results of each group are examined.
The collected data on the number of miles driven and fuel expenses. we found that number of miles driven tended to be lower when fuel expenses were high, and the number of miles driven tended to be higher when fuel expenses sales were high.
We do not conclude that more fuel expenses mean fewer miles driven. Likely, an Increased in fuel expenses and the number of miles driven may be caused by a third factor, car mileage. So, the present case is a case of negative correlation.
Negative correlation: y decreases as x increases.
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Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?
Answer:
D. Kari added the compatible numbers –12 and 4.
Step-by-step explanation:
Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?
-12 1/5 ÷ 4 2/5 = -8
A. Kari multiplied the compatible numbers –12 and 4.
-12 * 4 = 48
A. Is not correct
B. Kari found that the quotient of a negative number and a positive number is negative.
Example:
-a/a = -1
The rule is right
C. Kari found that the quotient of a positive number and a negative number is positive.
a/-a = -1
The rule is wrong
D. Kari added the compatible numbers –12 and 4.
= -12 + 4
= -8
Therefore, Kari error was that she added the compatible numbers –12 and 4.
Show the family of conics with the same focus
x^2/a^2+C + y^2/b^2+C = 1
is its own orthogonal family of curves.
The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.
To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.
First, we take the derivative of the equation with respect to x:
2x/a^2 = -2y/b^2 * dy/dx
Simplifying, we get:
dy/dx = -b^2*x/a^2*y
Now, we set this equal to -1/b^2:
-b^2*x/a^2*y = -1/b^2
Cross-multiplying and simplifying, we get:
x/a^2*y = 1/b^2
Finally, we can rearrange this equation to get:
y = b^2*x/a^2
This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.
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How do you find the scale factor given a center of dilation an image and a Preimage?
STEPS to find the find the scale factor given a center of dilation an image and a Preimage are given below
What is Scale factor, pre-image and dilation?
Dilation: A dilation is a stretch or a contraction in a figure or point's size and placement.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.
Scale Factor: In a dilatation, the scale factor refers to how much the figure is enlarged or contracted.
Step 1:
By comparing the length of one side of the pre-image to the corresponding side of the post-image, one may determine the dilation scale factor. The pre-image must be multiplied by the scaling factor to equal the post-image. If the side of the pre-image is the length of \(lpre\)and the length of the corresponding side of the post-image is \(lpost\),
, then the scale factor is given by k in the equation = \(lpre\) \(k\)=\(lpost\).
We can solve for k algebraically.
Step 2:-
Choose a matching group of spots on the pre-image and picture. the main point
(x1,y1) being the focal point of the pre-image (x2,y2) be the Centre of the enlarged picture.
By resolving the following two equations, you may get the coordinates of the Centre of dilation,
Step 3:-
Find the coordinate of center of dilation,
\(x_{0}=\frac{kx1 - x2}{k-1} \\\\y_{0}=\frac{ky1 - y2}{k -1}\)
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Can an acute triangle measure 90 degrees?.
The acute triangle can not measure 90 degrees because the criteria requires angles to be less than 90 degrees.
Acute triangle is the triangle with all the angles less than 90 degrees. However, the acute angles should always add up to 90 degrees. There are different types of acute triangles such as scalene, isosceles and equilateral triangle.
Acute Equilateral triangle has all the equal sides, acute isosceles triangle has two equal sides and acute scalene triangle has three different sides with different lengths.
Apart from acute angles, there are many other types of angles like obtuse angle and right angle. Right triangle has a 90 degree angle and obtuse triangle has more than 90 degrees angle.
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PLEASE HELP. GIVING BRAINLIEST TO THE TOP 15 PEOPLE WHO ANSWER CORRECTLY
she wrote divide 2 on both sides and also she wrote plus 11 which should be minus 11
Answer:
2x + 11= 71
-11 -11
2x/2 = 60/2
x= 30
2 x 30 + 11= 71
Step-by-step explanation:
:))
What is the y-coordinate of the red point ?
A. -3
B. 2
C. -2
D. 3
Answer:
A is the y-coordinate of the red point.
A)
b)
answer it
all right
Which set of ordered pairs is not a function?
1) {(3,1),(2,1),(1,2), (3, 2)} 2) {(4,1),(5,1). (6, 1), (7, 1)}
3) {(1,2), (3,4),(4,5),(5,6)} 4) {(0,0),(1, 1), (2, 2), (3, 3)}
Answer:
Set 1 is not a function
Step-by-step explanation:
You can have the same y value multiple times in a function, but you cannot have repeating x values. In set 1, there are two x values that are the same (3,2) and (3,1), so it is not a function.
in words explain how to determine the y intercepts of a rational function. be sure to include if theres a specific way to easily find the y intercept and the possible number of y intercepts
Answer:
evaluate f(0)there will be 0 y-intercepts if f(0) is undefined, 1 otherwise.Step-by-step explanation:
You want to know how to determine the y-intercepts of a rational function, and their possible number.
Rational functionA rational function f(x) is the ratio of two polynomial functions p(x) and q(x):
f(x) = p(x)/q(x)
As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...
f(0) = p(0)/q(0)
The values of p(0) and q(0) are simply the constant terms in those respective functions.
The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.
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