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Related Questions
Katrin’s monthly payment for electricity went down from £38.60 to £34.20 she thinks this means that her monthly payment has gone by 1/6. Is katrin correct? Show how you think this?
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[tex]\frac{4.4}{38.6} = 0.114 \\ \\ \frac{1}{6} = 0.1\bar{6}[/tex]
The bill did not decrease by 1/6.
Katrin's claim about her monthly payment going down by 1/6 is incorrect.
Explanation:To determine if Katrin's monthly payment has gone down by 1/6, we need to compare the difference between her old monthly payment (£38.60) and new monthly payment (£34.20) with 1/6 of her old monthly payment. Taking 1/6 of £38.60, we get £6.43.
The actual difference between her old and new monthly payment is £38.60 - £34.20 = £4.40. This difference is not equal to £6.43, so Katrin's claim is incorrect.
Therefore, Katrin's monthly payment has not gone down by 1/6.
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How do you write 3.42 in words
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In the diagram ,M//N . Identify all of the angles that are congruent to 2
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Answer:
Angles 4, 6 and 8.
Step-by-step explanation:
Let α and β be two angles, these will be congruent angles if they have exactly the same measure, that is, α = β.
A line that cuts two parallels forms congruent angles.
When two intercept lines form 4 angles. Those that are opposite to each other are vertical angles, these are always congruent.
In the diagram you can see that the angles congruent to 2 are: 4, 6 and 8.
Angle 4 is opposite to the angle 2, therefore it is congruent.
Angle 6 has the same measure of angle 2 because the lines m and n are parallel.
Angle 8 is opposite angle 6, so it is congruent to angle 2 which is equal to angle.
Hope this helps!
you have been hired by a museum to make a scale drawing poster of a painting to sell at the gift shop the painting is 65in high by 105in wide. you are asked to use a 1in=5in scale. what will the dimensions of your poster be? show your work
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The painting is 65in high by 105in wide.
We have to use a 1in=5in scale to make a scale drawing poster of a painting to sell at the gift shop
The dimensions of the poster will be as follows:
Height of the poster = 65/5 = 13 in
Width of the poster = 105/5 = 21 in
Therefore, the dimensions of your poster be 13in high and 21in width
Hope this helps ..!!
Thank you :)
i really need help
;-;
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a. Okay. So we have to make a table for the amount of butterflies to total insects. Let's simplify the ratio. 36:100 simplifies to 9:25. We can use that ratio to make this table. Just multiply 25 by the amount it takes to get to 50 or 100, and multiply by the same amount at the top to find the amount of butterflies. If you do it correctly, your table should be as shown below in the image.
b. On that note, let's solve for the amount of butterflies in the conservatory. There are 450 total of them. Let's divide 450 by 100 to find the amount we will multiply by. 450/100 is 4.5. We will mutliply 36 by that amount to find the total amount of butterflies. 36 * 4.5 is 162. That's it. There are 162 butterflies in the conservatory.
Rearrange the formula, a=1/2bh , to solve for b in terms of A and h.
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a cross section of the prism shown is parallel to a base. The area of the cross section is 78.5 square feet. The ratio of AB to BC is 5:4. The length of AB is 10 feet. Find the volume of the prism.
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Area of cross section= 78.5 ft²
Ratio of AB to BC= 5 : 4
AB=10 ft
To find BC, we get
5/4=10/BC
5BC=40
BC=8 ft
Now formula for volume of prism:
V=Area of base x height
Put values
V=78.5 x (10+8)
V=78.5 x 18
V=1413 ft²
Answer: 1413 ft²
the local Swim Center is making a special offer they regular charge is $7 per day to swim at the pool the special offer would have swimmers pee in their room and fee of $30 and then a daily pass will only be $4 a day
Answers
Every day is 7 dollars, which you have already answered.
The second one would be =
day 0 = 30 dollars. And then it would be 4$ for days 1 through 10.
Hope this helps!
The regular and fixed charges are shown by forming the equation and shown in the table.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
Suppose the number of days be x.
Then, as per the question the cost as per the regular charge is $7x.
And, for the offer it is given as $30 + 4x.
Now, the cost for both charges can be calculated for 10 consecutive days as below,
Regular Charge :
For x = 1, 7 × 1 = $7
The table for the given case can be shown as below,
Number of Days Regular Charge Offer Charge
1 $7 30 + 4 × 1 = $34
2 7 × 2 = $14 30 + 4 × 2 = $38
3 7 × 3 = $21 30 + 4 × 3 = $42
4 7 × 4 = $28 30 + 4 × 4 = $46
5 7 × 5 = $35 30 + 4 × 5 = $50
6 7 × 6 = $42 30 + 4 × 5 = $54
7 7 × 7 = $49 30 + 4 × 5 = $58
8 7 × 8 = $56 30 + 4 × 5 = $62
9 7 × 9 = $63 30 + 4 × 5 = $66
10 7 × 10 =$70 30 + 4 × 5 = $70
Hence, the table for both the charges is formed.
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A circle has circumference of 20.7cm. What is the area of the circle? Using 3.14
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20.7=2pi*r
r=3.296 or 3.3
A=pir^2
a=34.1946 or about 34.19
Circumference = 20.7 cm
Circumference of circle= 2πr
20.7= 2×3.14×r
20.7=6.28×r
20.7/6.28= r
r= 3.29 cm
Area of circle = πr^2
Area= 3.14×3.29×3.29
Area= 33.98 cm^2
Hope it helps...!!!
Which point is a reflection of point R (-2, 9) first across the y-axis and then across the x-axis?
A : (-9, -2)
B: (-2,-9,)
C: (2, -9)
D: (9, -2)
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Final answer:
Explaining how to find the reflection of a point across the y-axis and then the x-axis that is option C is correct.
Explanation:
To find the reflection of point R(-2, 9) first across the y-axis and then across the x-axis, we apply the transformations for each axis separately. When reflecting across the y-axis, the x-coordinate changes sign, making it (-2, -9). Then, reflecting across the x-axis changes the sign of the y-coordinate, resulting in the final reflection at point (2, -9).
The line of best fit in a scatter plot is ___________________________.
A. the most accurate trend line for the data represented.
B. how well the equation fits the model.
C. one that forms four right angles on the plane.
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A car’s original price was $26,500. Mr. Thomas paid $21,730. What percent discount did Mr. Thomas receive on the car?
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Final answer:
Mr. Thomas received an 18% discount on the car purchased for $21,730 from an original price of $26,500.
Explanation:
Mr. Thomas received a discount on the car he purchased, and we can calculate the percent discount using the original price and the sale price. The formula for percent discount is: Percent Discount = ((Original Price - Sale Price) / Original Price) × 100%. Applying this to the given numbers:
Original Price = $26,500
Sale Price = $21,730
The difference between the original price and the sale price is the discount amount:
Discount Amount = Original Price - Sale Price
Discount Amount = $26,500 - $21,730
Discount Amount = $4,770
Now we use the formula to calculate the percent discount:
Percent Discount = ($4,770 / $26,500) × 100%
Percent Discount = 18%
Therefore, Mr. Thomas received an 18% discount on the car.
Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town.
Which statements are true? Select EACH correct answer.
A If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer.
B Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.
C To estimate the percentage well, she would need to collect data for all 35,000 families.
D Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.
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Statements A and B are true
Let's analyze each statement based on statistical principles:
A: This statement is true. Increasing the sample size to 1,000 families would yield a better estimate of the true proportion of families owning at least one computer. A larger sample size reduces the margin of error, making the estimate more precise.B: This statement is true. Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer. Random sampling helps in representing the population accurately.C: This statement is false. Collecting data from all 35,000 families, though more accurate, is impractical and unnecessary. A well-conducted survey with a good sample size can provide a reliable estimate.D: This statement is false. Even though the sample size is 500 families, it can still provide a reasonable estimate for the percentage of families owning a computer if randomly selected.Conclusion
Statements A and B are correct, as they follow good statistical sampling practices. Statements C and D are not accurate in the context of the given scenario.
Intervals should be of unequal size. True False
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The size of intervals depends upon the type of question. However, the equal intervals help in organizing and analyzing the data.
Most of the mathematical formula are also applicable only on equally sized interval data.
What is the perimeter of a 4 m and 5 m rectangle
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The answer is 18m.
Hope this helps!
Jennas garden is 5 yd long. How long is her garden in feet?
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How to answer it please please please help
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.. longest piece : shortest piece = 3 : 1
Then
.. longest piece : total length = 3 : (3 +1) = 3 : 4
or
.. (longest piece)/(total length) = 3/4
.. longest piece = (total length)*(3/4)
.. = (9.4 m)*(3/4)
.. = 7.05 m
.. ≈ 7.1 m . . . . . . rounded to the nearest tenth meter
what is the slope of the line that passes through the points (2 3) and (–2 6)?
A. -3/2
B. -3/4
C. 3/4
D. 0
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------------------------------------------
Work Shown
Slope Formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-2-2)
m = (3)/(-4)
m = -3/4
Basically what you do is subtract the y coordinates (6 and 3) and then do the same for the x coordinates (-2 and 2) in the same order. After subtracting, you divide the differences. Reduce the fraction if possible.
The slope of -3/4 means each time we go down 3, we move to the right 4 units. This line is going downhill as you read it from left to right.
Hello!
Answer:
B. -3/4
*The answer must have a fraction.*
Step-by-step explanation:
Slope: [tex]\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}[/tex]
[tex]\frac{6-3=3}{(-2)-2=-4}=\frac{3}{-4}=-\frac{3}{4}[/tex]
Slope is -3/4
Answer is -3/4
Hope this helps!
Thanks!
-Charlie
Have a great day!
:)
:D
Fun Zone offers four party packages. The prices for each package are $50 more on weekends than they are on weekdays, as shown in the table below.
Party Package Rates
Package number Weekend or weekday Price
___________________________________________________________
1 weekend $160
1 weekday $110
2 weekend $180
2 weekday $130
3 weekend $230
3 weekday $180
4 weekend $300
4 weekday $250
answers:
A) It is a function because there is a price given for every package.
B) It is a function because weekend packages are always $50 more than weekday packages.
C) It is not a function because each package number has two different prices.
D) It is not a function because there are two different packages available for $180.
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Option: C is the correct answer.
C) It is not a function because each package number has two different prices.
Step-by-step explanation:Function--
Function is a mapping from a set A to set B such that each element of set A is mapped to a unique number.
i.e. every element has a single image.
Here a package number has two different rates or prices.
(Since let set A is package number and set B is a price of the package. )
As element of set A has more than one image.
Hence, it is not a function.
If there was 7 ounces of meat and cheese on each sandwich how many sandwiches were made in the hour and the shop owner used total of 91 combained ounces of meat and cheese?
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Use the given set of data values to answer the question below. 32, 21, 68, 21 Which measure of central tendency would prove to be most effective in emphasizing how small the data values are?
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If there are 52 cards in a deck what is the probability of drawing two cards, and getting a king both times?
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There are two cases here:
Case 1: First card chosen is a queen
452∗351=1221452∗351=1221Case 2: First card chosen is not a queen.
4852∗451=162214852∗451=16221Adding both the cases, we get 1722117221 = 452452 = 113113
In a simpler case: Think about it this way: Shuffle a deck of cards randomly. The probability of drawing a queen as your second card is the same as the probability that the second card in the deck is a queen, which is clearly 4/52.
A square has an area of x^2+4x+4 square meters. Write an expression that best represents the length of one side of the square.
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1) Rewrite x^2+4x+4 as the square of a binomial:
(x+2)^2
2) So now you know that (x+2)(x+2)=x^2+4x+4 (the area)
3) The length is x+2
The expression that represents the length of one side of the square is (x+2)
What is Polynomial?In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Given,
Area of the square = [tex]x^{2} +4x+4[/tex]
Area of the square = l × l
were l is the length
Then,
[tex]x^{2} +4x+4=(x+2)(x+2)[/tex]
Hence, The expression that represents the length of one side of the square is (x+2)
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The scatterplot below shows a set of data points.
Which point would be considered an outlier?
(1, 5)
(3, 9)
(5, 4)
(9, 1)
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Answer:
Step-by-step explanation:
Definition of an outlier:
A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.
Here in the scatter plot we can see that
(3,9) deviates from other values very much.
Outlier An extreme value in a set of data which is much higher or lower than the other numbers. Outliers are to be removed to get accurate results since they have the power to affect the mean value of the data but have little effect on the median or mode of a given set of data.
That is why when outliers are present mean or mode is the better mode to measure central tendency.
1. which of the following is true and radio waves?
A. they have high energies
B. they reveal hot gasses
C. they can penetrate dist clouds
D. they have short wavelengths
2. which of the following is used in medical imagery?
A. ultraviolet light
B. blue light
C. radio waves
D. X-rays (I think this is it)
3. which of the following has the longest wavelength?
A. Red light
B. radio waves
C. microwaves (I don't know if this is like the kitchen appliance or something else)
D. infrared light
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Answer:
Step-by-step explanation: Sorry im late but here is answers pls brainliest
2.08 Quiz: Electromagnetic Spectrum
C) Radio waves can penetrate distant clouds, D) X-rays are used in medical imaging, and B) radio waves have the longest wavelength.
Explanation:1. C. they can penetrate distant clouds.
Radio waves have longer wavelengths than visible light, which allows them to easily pass through clouds. They are often used in weather radar to detect precipitation and study the atmosphere.
2. D. X-rays
X-rays are commonly used in medical imaging techniques such as X-ray machines and CT scans. They have higher energy than visible light and can penetrate through soft tissues, making them useful for examining bones and internal organs.
3. B. radio waves
Radio waves have the longest wavelength among the given options. They are used for various purposes, including communication, broadcasting, and studying celestial objects in radio astronomy.
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What is the volume of this prism? Rectangular prism composed of unit cubes. Prism is 6 units by 9 units by 7 units. units3
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________________________________________________
( 6 units) * ( 9 units) * (7 units) = (6 * 9 * 7) units³ = 378 units³ .
________________________________________________
Volume of the prism= Length x Width x Height
Let
L--------------> 6 units
W------------- > 9 units
H------------- > 7 units
then
Volume=6*9*7=378 units³
the answer is 378 units³
A certain recipe calls for 2 2/3 cups of sugar. If the recipe is to be doubled, how much sugar should be used?
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Which is then can be simplified to 5 1/3
hope it helps
Lorelei filled her 5-gallon jug water. How many times could she fill her 2-quart canteen with water from the jug? Explain.
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Answer: 10 times
Step-by-step explanation:
Solve for y 3x -4y = 12
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Answer:
y = 3/4x - 4
Step-by-step explanation:
Solving for y:
3x -4y = 124y = 3x - 12y = 3x/4 - 12/4y = 3/4x - 4Alesia , mama si bunica ei au primit , in total , 221 de martisoare . Alesia a primit de trei ori mai putine martisoare decat ama sa , insa de trei ori mai multe decat bunica. Afla cate martisoare a primit fiecare.
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Alesia, her mother and grandmother received a total of 221 marshmallows. Alesia received three times less marshmallows than his mother, but three times more than his grandmother. Find out how many marshmallows each received.
Let
x--------------------> number of marshmallows received for Alexia
y--------------------> number of marshmallows received for the mother
y--------------------> number of marshmallows received for the grandmother
we know that
x+y+z=221
x=y/3----> Alesia received three times less than his mother-----> y=3x
x=3z----> Alesia received three times more than his grandmother---> z=x/3
x+y+z=221-------> x+(3x)+(x/3)=221
4x+(x/3)=221--------> (12x+x)/3=221-----> 13x= 663
x=663/13=51
y=3x----> 3*51=153
z=x/3----> 51/3=17
the answer is
Alexia received 51 marshmallows
the mother received 153 marshmallows
the grandmother received 17 marshmallows
the answer in Romanian
lăsa
x--------------------> numărul de martisoare primit pentru Alexia
y--------------------> numărul de martisoare primite pentru mama
y--------------------> numărul de martisoare primite pentru bunica
noi stim aia
x+y+z=221
x=y/3----> y=3x
x=3z----> z=x/3
x+y+z=221-------> x+(3x)+(x/3)=221
4x+(x/3)=221--------> (12x+x)/3=221-----> 13x= 663
x=663/13=51
y=3x----> 3*51=153
z=x/3----> 51/3=17
raspunsul este
Alexia a primit 51 martisoare
mama a primit 153 martisoare
bunica a primit 17 martisoare