Given a scale drawing of the square with a horizontal scale factor of 40% and a vertical scale factor of 240%, what are the dimensions, in units, of the scale drawing?
Your answer should fit the following format:
The length of the shorter side is _________ units, and the length of the longer side is _______ units.
Answers
Answer: The shorter side is 2 units, and the longer side is 12 units.
Step-by-step explanation: The original square is 5 units. multiply by decimal equivalents to find the new scaled units
40% of 5 is 2 That is: 0.4 × 5 = 2.0
240% of 5 is 12 That is 2.4 × 5 = 12.0
240
Related Questions
Select the line plot with a median score of 6.
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Reason: all plots have twenty dots. Count from either side. If the tenth and eleventh are both on six than that plot is correct. Top left is the only one like that. (the median of 20 being between 10 and 11)
What is the solution of the equation n+13=30 ?
Answers
Answer:17
Step-by-step explanation:
1) 30 -13=17
n=17
Jin’s mother estimates there is a half gallon of fruit punch remaining in the container. There is actually 72 ounces of fruit punch in the container. What is the percent error of Jin’s mother’s estimate, rounded to the nearest tenth?
PLS I NEED HELP ITS DUE IN 10 MINUTES!!!!!!
Answers
Answer: 0.7 I think
Step-by-step explanation:
The percent of error of Jin's mother's estimate is 4,9% (4,9 percent)
The Percent of error of Jin's mother's estimate can be calculated as follows ?
The first step is to convert a half gallon to ounces
1 gallon = 153,722 ounces
= \(\frac{1}{2}\) × 153,722
= 76,861 ounces
The next step is calculate the error between Jin's mother's estimate (76,861 ounces) and the actual amount of fruit punch in the container (72 ounces)
The error = 76,861 - 72
= 4,861
Third step is to round the calculated the percent error to the nearest tenth.
4,861 ÷ 100 = 4,861%
The final step is to round it to the nearest tenth by round the second digit behind the coma which has value more than 5 to the higher number of the first digit behind the coma.
4,861% = 4,9%
Hence, the percent error of Jin's mother's estimate is 4,9% (4,9 percent)
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Jaha has designed a rocket. She determines the initial velocity of her rocket is 36 meters per second. She uses the function h(t) = - 9.8t ^ 2 + 36t to find the height, h(t) based on time, t, in seconds. Jana wants to know approximately when her rocket will be at the following heights:
24 Meters
36 Meters
Answers
To find when the rocket will be at a certain height, we can set the equation for height, h(t), equal to the given height and solve for t.
For 24 meters:
-9.8t^2 + 36t = 24
-9.8t^2 + 36t - 24 = 0
We can solve for t using the quadratic formula:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = -9.8, b = 36, and c = -24. Plugging in these values, we get:
t = (-36 ± sqrt(36^2 - 4(-9.8)(-24))) / 2(-9.8)
t ≈ 1.87 seconds or t ≈ 3.14 seconds
So the rocket will be at a height of 24 meters approximately 1.87 seconds after launch and again approximately 3.14 seconds after launch.
For 36 meters:
-9.8t^2 + 36t = 36
-9.8t^2 + 36t - 36 = 0
Using the quadratic formula again, we get:
t = (-36 ± sqrt(36^2 - 4(-9.8)(-36))) / 2(-9.8)
t ≈ 1.16 seconds or t ≈ 3.66 seconds
So the rocket will be at a height of 36 meters approximately 1.16 seconds after launch and again approximately 3.66 seconds after launch.
What is the interquartile range of the data displayed in this box-and-whisker plot?
A) 7
B) 12
C) 22
D) 49
Answers
How do i measure the diameter of a circle?
Answers
Answer:
Step-by-step explanation:
If you know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter
hope that helps!
The steps to measure the diameter of a circle is shown below.
You must perform the following steps in order to determine a circle's diameter:
1. Lay a ruler or measuring tape over the circle's centre, making sure it goes through the widest point.
2. Check to make sure the ruler or measuring tape is straight and correctly positioned.
3. Check the measurement at the intersection of the circle's two sides using the ruler or measuring tape.
4. Make a note of the measurement you took.
5. To find the circle's diameter, multiply the measurement you took by two.
The piece of a straight line that connects two places on the circumference and travels through the centre of a circle is known as the diameter.
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Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Please help,i really dont understand
Answers
Answer: 1,100ft2
Step-by-step explanation:
Look at the photo
Solve for c:
5(8 + c) = 55
answer choices
c = 3
c = 11
c = 5
c = 4
Answers
plz help, will give brainllest to the one correct
Answers
Answer:
1. (3 * 6) + (3 * x) = 24
2. 18 + 3 * x = 24
3. 6 + x = 8
Step-by-step explanation:
We have the equation which is:
3 * (6 + x) = 24
The order of the solution would be as follows:
First step:
(3 * 6) + (3 * x) = 24
Second step:
18 + 3 * x = 24
Third step:
6 + x = 8
The rest of the steps are wrong, and have nothing to do with solving the equation.
1. Can someone help me with math
Answers
Answer:
I am pretty sure it is 1.
Step-by-step explanation:
I am doing addition and subtraction methods.
Anna Beth has two fish tanks. They are both cubes. The side length of one of the tanks is 15 cm. The side length of the other is 45 cm. What is the ratio of the volume of the smaller tank compared to the volume of the larger tank?(1 point)
The options are
45/15
1/27
1/3
27/1
Answers
Question 1)
Volume of Tank A = Sum of volume of its two parts.
So,
Volume of Tank A = 24 + 96 = 120 cubic feet
Question 2)
Volume of Tank B and Tank A is the same. So, Volume of Tank B = 120 cubic feet
One section of Tank B = 45 cubic feet
So, volume of other section of tank B = 120 - 45 = 75 cubic feet
hope this helps sorry
The ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27. Option B is correct.
Ratio of the volume of the smaller tank compared to the volume of the larger tank = Volume of smaller tank/Volume of larger tank.
Volume of cube = a³
a = length of side of cube.
Length of the side of the smaller tank = 15cm.
Length of the side of the larger tank = 45cm.
Volume of smaller tank = (15)³ = 3375 cm³
Volume of larger tank = (45)³ = 91125 cm³
Ratio of the volume of the smaller tank compared to the volume of the larger tank = 3375/91125 = 1/27.
Therefore the ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27.
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whats 9 plus 10 i need a answer soon its really hard
Answers
Answer:
19
:) BRAINLIEST
first here
Answer:
the answer is 19
Step-by-step explanation:
9+10=19
hope this helps, have a good day : )
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
Which describes the spread of the data in the two box plots?
The data in shelter A show more spread than the data in shelter B.
The data in shelter B show more spread than the data in shelter A.
The data in shelter A range from about 17 to 28, while the data in shelter B range from about 16 to 20.
The data in shelter A range from about 21 to 28, while the data in shelter B range from about 18 to 20.
Answers
Answer:
The data in shelter A shows more spread than the data in shelter B
-And-
The data in shelter A range from about 17 to 28, while the data in shelter B range from about 16 to 20
For the range/span you look at where the actual box lies and for the spread use the whisker span.
can someone please solve these equations asap with step by step explanation you can also write an answer in the comments if u are unable to answer
1.7x × 2y - 4y × 3x
2.3x × 2x - 4y × 3y
3. (4x)(5x) - (5x)(4x)
Answers
\(1.7x \times 2x - 4y \times 3x \\ 7x \times 3x - 4y \times 2y \\ 21x ^{2} - {8}y^{2} \\ 2.3x \times 2x - 4y \times 3y \\ 6x ^{2} - {12y}^{2} \\ 3.4x \times 5x - 5x \times 4x \\ {20x}^{2} - {20x }^{2} \\ 0 \)
Please help due today
Answers
Mean: 20.33 repeating (repeating digit: 3). Answer: Correct
Median: 19 Answer: 19/not filled in
Peak: 19.5 (between 19 and 20 [19+20/2) (between numbers 6 and 7 out of 12) Answer: 19.5/incorrect
Outlier: None, unless on a close scale, 17. Answer: None/Incorrect
Distribution Type: asymmetrical (I think) Answer: Asymmetric/possibly correct
Please give brainliest :D
Answer
Median: 19 & 20
Gap: (Left: 14, 15, & 16) (Right: 22, 23, and 24)
Step-by-step explanation:
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
This question has two parts.
Answers
Answer:
Part A: $6.76
Part B: 135.2 ounces
Step-by-step explanation:
33.8/5 = 6.76
27.04(5) = 135.2
Part A.
Cost: $6.76
Step-by-step explanation:
33.8/5= 6.76
Answer: $6.76
Part B.
Ounces of Water: 135.2
Step-by-step explanation:
27.04(5)= 135.2
Answer: 135.2
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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50 Points mathematics answer all questions correctly.
Graphing on the coordinate plane
Answers
Answer:A.(4,9)
B.(6,3)
C.(1,3)
D.(8,7)
E.(8.9)
i dont know part A though
part B is the 2nd one
Step-by-step explanation:i have had the worksheet
Find the missing number so that the equation has infinitely many solutions.
4x + ? – 6x = – 2x – 9
Missing Number = ?
Answers
Which ordered pair is located on the x-axis?
(0, -5)
(0, -5)
(1, -5)
Answers
Answer:
-5,0
Step-by-step explanation:
Can someone please help me. Due tomorrow.
Answers
Answer:
Rate of change = 142/5 = 28.4
Initial population = 5,428 - 142(5)
= 5,428 - 710
= 4,718
Rate of change/Initial population
= 28.4/4,718 = 71/11,795 = about .602%
The cost of renting an inflatable bounce house for 2 hours is $53.50. At this rate, what is the cost of renting the bounce house for 5 hours?
Answers
Answer:80.25
Step-by-step explanation:
Pablo has 20 balloons for his party. He will either take 2 for a stack or 3 for a stack. How many more stacks will Pablo need if he takes 3 on each stack?
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First Answer is the brainlest 15 points
Which product is negative?
−3⋅(−4)⋅(−9)⋅0
−7⋅(−3)⋅(−5)⋅(−8)
−2⋅(−4)⋅8⋅(−1)
6⋅(−2)⋅(−3)⋅1
Answers
Answer:
−7⋅(−3)⋅(−5)⋅(−8)
Step-by-step explanation:
Why:
-2•(-4)=+8
8•8=64
64• (-1) = -64
You guys are annoying!
Answers
the reason for the annoying behavior that you see in us is because you do not understand us. if you were a proper weirdo, you would know this.
can somebody do my math for me ill give you brainlist and 50 points
Answers
PLLSS HELP MEEE ASAPPP!!!!
A veterinarian divided 2/3 of a bottle of medicine equally among some sick cats. She gave each cat 1/3 of a bottle of medicine. How many sick cats were there?
Answers
Answer:
2 cats im pretty sure if you think about it you can divide 3/3 by 3cats and they use 2/3 of a bottle and where they give 1/3 to a cat it has to be 2 cats.
Can someone help with this real quick just 1 question.
Answers
Answer:
3825 in.^3
Step-by-step explanation: