The constant of proportionality is 12.75
The constant of proportionality is the ratio of the constant values of two proportional quantities.
Two changing values are said to be in proportion when either their ratio or product results in a constant. The proportionality constant's value is determined by the Direct Variation and Inverse Variation types of proportions between the two supplied values.The direct proportionality equation, y = kx, shows that when x increases, y increases at the same rate. As an illustration, y x stands for the cost per item(y), which is inversely related to the quantity of items(x) bought.The indirect proportionality equation, y = k/x, shows that when y increases, x decreases, and vice versa.The direct variation is given by y = k x where k is the constant of proportionality.
Now the cost of 6 tickets is $76.50
76.50 = k × 6
or, k = 12.75
Therefore the constant of proportionality is 12.75
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How will the volume of a cube change if its edge becomes twice as long; 3 times as
long; 10 times as long; n times as long?
Answer:8s^3 , 27s^3 , n^3s^
Step-by-step explanation:
As we know that
Volume of the cube = side × side × side
let us assume that one side is s
side = 2s
Then,
Volume = 2s ×2s×2s
=8s^3
side =3s
Then,
Volume= 3s×3s×3s
=27s^3
side =ns
Then,
Volume= ns×ns×ns
=n^3 s^3
Find the median, mode, and range.
For the given discrete data series,
Median = 4'7"
Mode = 4'8"
Range = 1'3"
To begin with, let us arrange the given discrete data series in ascending order as follows:
3'7" 3'11" 4'3" 4'6" 4'7" 4'7" 4'8" 4'8" 4'8" 4'9" 4'10"
To identify the median, locate the data point that stands exact at midpoint of the series. It is the sixth entry from left and hence median = 4'7"
To identify the mode, count and identify which data points occurs highest in frequency. 4'8" is mode as it occurs highest number of times (3 times) in the series.
To calculate the range, we subtract the last entry. Thus Range = 4'10" - 3'7" = 1'3"
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mickey mantle played for the new york yankees for 18 years from 1951 to 1968. year by year he hit the following numbers of home runs: 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18. we represent these as a vector x in r by making the following assignmemt:
The sample mean of z = 247-925
Given Data:
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18.
Mickey Mantle played for the New York Yankees for 18 years, from 1951 to 1988. The average annual number of home runs he hit was as follows:
X < - C ( 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18)
Y < - Cumsum (X)
Y
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18
> W < - 714 - Y
> W
Y
13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536
> W < - 714 - Y
> W
701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178
> Z < - C (X, Y, W)
>Z
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18
13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536
701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178
a) Z's minimal value = 13
b) Sum of the element's squares in Z = 5853370
c) Z's sample mean = 247.9259
d) The variation of z in samples (variance) = 478133.92
e) Z's Standard Deviation = 218.6639
f) W's 18th element = 178
g) X's Sample Variance = 142.6536
h) The sample variance of 5x = 3566.34
i) Length of elements in 5x = 18
j) The unique (different) values are in Z = 52
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insert brackets to make the statement true 10 + 2 x 3^2 - 2 = 84
Inserting brackets to make the statement true 10 + 2 x 3^2 - 2 = 84 will be (10 + 2) × (3² - 2).
How to illustrate the informationIt should be noted that the information simply means that one had to put the bracket in the appropriate places on order to get the value of 84.
This will be illustrated thus:
= 10 + 2 × 3² - 2
= (10 + 2) × (3² - 2)
= 12 × (9 - 2)
= 12 × 7
= 84
Therefore, the expression is true.
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plsssssssssssssss help
Answer: Im not sure what is supposed to happen here but x=3
Step-by-step explanation:
What is the greatest common factor of 24, 36, 72?
The greatest common factor of 24, 36 and 72 is 12.
12 is the greatest common factor of 24, 36, and 72
what is the mean of 21,23,19,23,and 21
Answer:
21.4 (or 107/5)Step-by-step explanation:
what is the mean of 21,23,19,23,and 21?
Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.
(21+23+19+23+21) : 5 =
107 : 5 =
21.4 (or 107/5)
There are 11 cups. Six of the cups contain milk. One of them contains soda. Four of them contains water. What fraction of the cups contain water and milk
Answer:
10/11
Step-by-step explanation:
count how many cups and then what ones have water and milk
(100 points) While practicing a tightrope walk at a height of 20 feet, a circus performer slips and falls into a safety net 15 feet below. The function h(t) = -16t^2+20, where t represents time measured in seconds, gives the performer's height above the ground (in feet) as he falls. Write and solve an equation to find the elapsed time until the performer lands in the net. Will give brainiest to person who answers the questions correctly.
The equation to find the elapsed time is -16t^2 + 20 + 15 = 0 and the elapsed time is 1.479 seconds
How to determine the equation to find the elapsed time?The given parameters are:
h(t) = -16t^2 + 20
Also, we have:
Safety net = 15 feet below
This means that
h(t) = -15
Substitute h(t) = -15 in h(t) = -16t^2 + 20
So, we have
-16t^2 + 20 = -15
Add 15 to all sides
-16t^2 + 20 + 15 = 0
Using a graphing calculator, we have
t = -1.479 and t = 1.479
Time cannot be negative
So, we have
t = 1.479
Hence, the time is 1.479 seconds
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help please i really need help lol
Answer:
68
Step-by-step explanation:
because first u have to add it all up then take away
pls pls help whoever gets it right gets marked brainliest
Answer: a
Step-by-step explanation:
i think the answer is a
What is 22 divided by 1034
Answer:
47
Step-by-step explanation:
you said 22 divided by 1034, which is 0.02127659574 when i put it in my calculator, so im just going to guess that was a typo lol
22*47=1034, so 1034/27 is 47
Please help!!!!!!!!!
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What is the value of x in the triangle?
1. A grocery store sells salmon for $7.84 per pound. What would be the cost of 2 1/4
pounds of salmon?
Answer:
$17.64
Step-by-step explanation:
Multiply 7.84 by 2.25
7.84 x 2.25 = 17.64
Answer:
$17.64
Step-by-step explanation:
1 pound salmon = 7.84
2.25 (2 1/4) pound salmon = 17.64
3862 × 874 pls write step by step
надеюсь что объяснила точно и нормально
Order from least to greatest {-6,-8, 3,-1,-4}
Answer:
-8, -6, -4, -1, 3
Step-by-step explanation:
Hope it helps! =D
The ratio of boys to girls in a classroom is 3:5 If there are 35 girls
in the class, how many boys are in the classroom?
Boys to girls
3 : 5
? : 35
35/5 = 7
5 x 7 gives number of girls.
So, 3 x 7 will give number of boys, which is 21
Thus, there are 21 boys
(basically, you find the number you multiplied by 5 to get 35, then, multiplying that number on the other side, which was 3 in this case. )
Hope this helps!
Drawing 1 uses the scale of 1 cm to 5 mi
Drawing 2 uses the scale of 1 cm to 10 mi
Which drawing is SMALLER? Why?
is smaller because
The scale of 1 cm to 5 mi is smaller.
What is scale drawings?An object is enlarged in a scale drawing. An expansion increases or decreases the size of an object by multiplying each of its lengths by a scale factor. Consequently, when using scale drawings: Find out what the drawing's scale is. Use a ruler to measure the distance on the drawing (or, if available, count the number of squares). To get the distance in real life, multiply the measurement by the scale.
Given Data
Drawing 1 uses the scale of 1 cm to 5 mi
Drawing 2 uses the scale of 1 cm to 10 mi
the scale of 1 cm to 5 mi is smaller.
1 inch to 5 miles scale means that on the drawing, 1 inch corresponds to 5 actual miles. If a road is depicted on a drawing as being 2 inches long, it is actually 10 miles long.
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What is the circumference of a circular park with a radius of 100 meters?
(Round your answer to the nearest tenth.)
OA. 628.3 m
OB. 157.1 m
OC. 314.1 m
OD. 1256.6 m ?
find the equation of the line. a line that is parallel to the graph of 2x+3y=5 and conatians the point (3,-1)
The equation of the line. a line that is parallel to the graph of 2x+3y=5 and contains the point (3,-1) is y+1 = -2/3 (x - 3)
Equation of a lineA line is defined by the shortest distance between two points,
The equation of a line in point slope form is expressed as;
y - y₁ = m(x-x₁)
where
m is the slope
(x₁, y₁) is any point on the line
Given the following parameters
Point = (3, -1)
Given the equation 2x + 3y = 5
3y = -2x + 5
y = -2/3x + 5
Slope = -2/3
Substitute
y - (-1) = -2/3(x-3)
y+1 = -2/3 (x - 3)
This gives the required equation of the line.
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if a tv has a 30 inch screen and a height of 18 inches what is the width of the tv
Answer:
24 inches
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]18^{2}[/tex] + [tex]b^{2}[/tex] = [tex]30^{2}[/tex]
324 + [tex]b^{2}[/tex] = 900
[tex]b^{2}[/tex] = 576
[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{576}[/tex]
b = 24
Answer:
24 inches
Step-by-step explanation:
Since the size of the screen is measured from the lower corner to the opposite upper corner.
therefore it forms a right angled triangle.
given hypotenuse is 30inch
the height is 18 inches
using the Pythagorean theorem
[tex] {hypotense}^{2} = {width}^{2} + {height}^{2} [/tex]
then
[tex] {30}^{2} = {width}^{2} + {18}^{2} \\ 900 = {width}^{2} +324[/tex]
Subtract 324 from both sides
[tex]576 = {width}^{2} \\ width = \sqrt{576} = 24 \: \: inches[/tex]
Simplify: (8c3+c2d)−(9cd2−5d3)+(−3c2d−8cd2)
What is the value of (−13)3 when evaluated?
−169
39
−2,197
2,197
Answer: I pretty sure that the answer is -169
Step-by-step explanation: Because it's going to need the minus symbol and I don't think -2,197 because it is a huge number HOPE THIS HELPS!!!
The value of the expression (−13)³ when evaluate is equal to -2,197.
As given in the question,
Given expression is equal to :
( -13 )³
Property used while evaluating the expression:
( - ) × ( - ) = ( + )
( + ) × ( - ) = ( - )
Evaluate the given expression ( -13 )³ value we get,
( -13 )³
Multiply first two terms we get :
= ( -13 ) × ( -13 ) × ( -13 )
= ( 169 ) × ( -13 )
Now , multiply 169 to (-13 ) the value we get
= ( -2, 197 )
Therefore, the value of the expression (−13)³ when evaluate is equal to -2,197.
The complete question is:
What is the value of (−13)³ when evaluated?
a. −169
b. 39
c. −2,197
d. 2,197
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Which type of transformation would move figure 1 onto figure 2?
translation
reflection
rotation
dilation
The students in a class were asked wether they preferred football , tennis or hockey. The ratio of students who preferred football to tennis to hockeys is 14:8:3. What percentage of students preferred tennis
Answer:
32%
Step-by-step explanation:
Well, 14+8+3=25
So, 8/25=32/100, which means 32%
Answer:
Person above me is right
Directions: Rewrite each list of numbers in order from least to greatest 2%, 4¹ , 7/25, 2×10¹, √2, 0.2 repeating
Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹
What is basic algebra ?The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in all areas of mathematics, including trigonometry, calculus, and coordinate geometry. 2x + 4 = 8 is a straightforward algebraic expression. In algebra, symbols are used, and operators are used to connect the symbols to one another. It is more than just a mathematical idea; it is a skill that we all utilize on a regular basis without even being aware of it.
Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹
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A boat travels upstream on the Mississippi River for 3.5 hours. The return trip takes only 2.5 hours because the boat travels 2 miles per hour faster downstream due to the current. How far does the boat travel downstream?
The distance that the boat travel is 17.5 miles per hour.
How to calculate the distance?A boat travels upstream on a Mississippi river for 3.5 hours and the return trip takes 2.5 hours
The boat travels 2 miles per hour faster downstream
Let y = the speed that was traveled upsteam.
This will be illustrated as
3.5y = 2.5(y + 2)
3.5y = 2.5y + 5
3.5y - 2.5y = 5
y = 5
Therefore the distance travelled by the boat upstream will be:
= 3.5 × 5
= 17.5 miles per hour
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Janet picked a number, added 7 to the number, multipled the sum by 2,
and then subtracted 4. If the final result was 28, what number did Janet pick?
HELP PLEASE!!!!!
the number chosen by Janet was 9 .
What is linear / non-linear equation ?An equation is a statement in which the values of two mathematical expressions are equal. These statements consist of constants and variables. Constants are values that never change. Variables like y or x represent unknown numerical values. Nonlinear equations are equations that appear as curved lines when you graph them. After plotting pairs of values that make the equation true on a coordinate grid, you can't draw a straight line between the points.
Calculationfrom the question given we can come to an equation that is
2( x+7) - 4 = 28
if the number chosen by Janet is x
lets find x
2x + 14 - 4 = 28
2x = 18
x = 9
therefore the number chosen by Janet was 9 .
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Neil bought a house for £235 000
In the first year the value of the house depreciated by 4%
In each of years 2 and 3 the value of the house increased by 6%
Work out the value of the house at the end of year 3
Answer:
Based on the given conditions, formulate: 235000×(1+1-4%)
Calculate the sum or difference:235000×(2-0.04)
Calculate the sum or difference:235000×1.96
Calculate the product or quotient:460600
get the result:460600
So the answer is 460600
Answer:
£ 253,484.16
Step-by-step explanation:
Cost of house for first year = £235,000
Year 1
Depreciation for first year is 4% = 4/100
Depreciation in £ = 235,000 x 4/100 = £9,400
Effective value of house at end of first year
= 235000 - 9400 = £225,600
Year 2
In the second year the house value increased by 6% = 6/100
So total increase in £ at the end of year 2 with an initial value of £225,600 = £225,600 x 6/100 = £13,536
So actual value of house at end of year 2
= £225,600 + £13,536
= £239,136
Year 3
The value increased by 6% for year 3.
Value at beginning of year 3 = £239,136
Increase in value at 6% = £239,136 x 6/100 = £14,348.16
Total Value at end of year 3
= £239,136 + £14,348.16
= £253,484.16
Answer: £253,484.16
Note
Another way of quickly calculating this is noting that 4% depreciation means the new value is (1 - 4%) of initial value = 1 - 4/100 = 0.96
An increase of 6% means the new value will be 1.06 times the initial value
So the value of the house after 4% depreciation for the first year and 6% appreciation for the next 2 years
= 235000 x (0.96)(1.06)(1.06) = 253,484.16