Answer:
$30
Step-by-step explanation:
To find the median, arrange numbers from smallest to largest
The # of data points in this scenario are 5, which is odd. If the # of data points is odd, the median is the data point in the center.
$28, $28, $30, $36, $40
if you wanted to find the median with an even # of data points, it's the average of the two middle data points.
The median price of the sport jerseys is : $30
Given the prices :
$28, $36, $40, $30, $28
To find the median price, we need to arrange the values in order :
Ordered prices = $28, $28, $30, $36, $40
The median formula = 1/2(n+1)th term
n = number of terms = 5
Hence,
Median price = 1/2(5 +1)th term
Median price = 1/2(6) = 3rd term
The 3rd term = $30.
Hence, the median price is $30
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Jonathon can jog 2 2/7 miles in 2/8 hour. Find his average speed of miles per hour.
Answer:
9.14 miles an hour
Step-by-step explanation:
Anyone know how to do this ( pls show work) pls help me
Answer:
Step-by-step explanation:
Temperature at 5 am = -7° F
Temperature at 9 am = 4° F
Temperature at 11 am =4 + 3.5 * 4 = 4 + 14 = 18° F
Total increase = 18 - (-4) = 18 + 4 = 22° F
Use #1-9 to identify each property below.
A. ab?.0=0
B. (7 + 5) + 1 = 7 + (5 + 1)
C. 6 = 6
D. 7(x – 3) = 7x - 21
E. x + (-x) = 0
F. if y = 3, then 3 = y
G. (a + b) + 0 = 0 + (a + b)
H. if x = -1, and -1 = z, then x = 2
I, 4x.1=4r
Here we need to see which axioms or properties are used in each case.
A: ab²×0 = 0
Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.
B: (7 + 5) + 1 = 7 + (5 + 1)
This is the associative property of addition, which says that we can perform the addition in any order we want.
C: 6 = 6
This is the reflexive property of equality, which says that every number is equal to itself.
D: 7(x – 3) = 7x - 21
This is the distributive property, which says that:
C*(A + B) = C*A + C*B
We can see that if we apply it to the left side we get:
7(x - 3) = 7x - 7*3 = 7x - 21
E: x + (-x) = 0
This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:
N + A = 0
Particularly, in the real set, we can see that A = -N
G: (a + b) + 0 = 0 + (a + b)
Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:
A + B = B + A
So the elements in the sum can commute.
H: if x = -1, and -1 = z, then x = z
This is the transitive property, we can apply it in the next way:
x = -1 = z
then x = z
So if both variables are equal to the same number, then the variables are equal.
I: 4x×1 = 4x
This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:
X*A =X
Particularly, A = 1.
X*1 = X.
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Answer:
Step-by-step explanation: I also need help
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
7/8
Step-by-step explanation:
1/4 + 5/8 = 2/8 + 5/8 = 7/8
= amount used for pepper and tomatoes
2 1/2 - 3/4 = 5/2-3/4 = 10/4 -3/4 = 7/4
= total amount used
so
7/4 - 7/8 = 14/8 - 7/8 = 7/8 for lettuce
The LCM of two numbers is 352
The HCF of the numbers is 4.
One of the numbers is 44.
Find the other number.
Answer:
Let the other number be
′
x
′
Given:LCM+HCF=600
⇒14HCF+HCF=600
⇒15HCF=600
⇒HCF=40
⇒LCM=14×40=560
Since HCFxLCM=Product of 2 numbers
=>40×560 = 280×x
⇒x=
280
40×560
⇒x=40×2
⇒x=80
hence the other number is 80.
Evaluate (2-5i)(p+q) when p=2 and q=5i
Answer:
(2-5i)(p+q)
p=2
q=5i
(2-5i)(2+5i)
a²-b²=(a+b)(a-b)
2²-(5i)²
4-(5i)²
i²=-1
4+25=29
answer 29
Imran can row at 3 m/s against the current and at 6 m/s with the current. Find the speed of the current.
komhnyrtgfdedavfbfsfb
A movie with an aspect ratio of 1.85:1 is shown as a letterboxed image on a newer 50-inch 16:9 television. Calculate the height of the image, the height of each barely visible black bar at the top and bottom of the screen, and the percent of the screen’s area that is occupied by the image. Use a variety of representations to justify your response.
The aspect ratio of a Television is the ratio of the width to the height of the television.
The height of image on the 50-inch television is 24.48 inchesThe height of each black bar is 23.52 inchesThe percentage of the screen area occupied is 96.08%The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the new 50-inch 16:9 TV is x.
The ratio is represented as:
[tex]Width : Height = 16 : 9[/tex]
Using Pythagoras theorem, we have:
[tex](16x)^2 + (9x)^2 = 50^2[/tex]
[tex]256x^2 + 81x^2 = 2500[/tex]
[tex]337x^2 = 2500[/tex]
Divide both sides by 337
[tex]x^2 = 7.42[/tex]
Take square roots of both sides
[tex]x = \sqrt{7.42[/tex]
[tex]x = 2.72[/tex]
So, the width of the image is:
[tex]Width = 16x[/tex]
[tex]Width = 16 \times 2.72[/tex]
[tex]Width = 43.52[/tex]
The height of the image is then calculated as:
[tex]Height = 9x[/tex]
[tex]Height = 9 \times 2.72[/tex]
[tex]Height = 24.48[/tex]
The height of the image is 24.48 inches
The height of each black bar is calculated as follows:
[tex]Width : Height = 1.85 : 1[/tex]
Express as fraction
[tex]\frac{Height}{Width}= \frac{1}{1.85}[/tex]
Make Height the subject
[tex]Height = \frac{1}{1.85}\times Width[/tex]
Substitute [tex]Width = 43.52[/tex]
[tex]Height = \frac{1}{1.85}\times 43.52[/tex]
[tex]Height = 23.52[/tex]
The height of each black bar is 23.52 inches
Lastly, the percentage of the screen’s area that is occupied by the image
First, we calculate the area of the bars
[tex]A_1 = Height \times Width[/tex]
Where:
[tex]Height = 23.52[/tex] and [tex]Width = 43.52[/tex]
So:
[tex]A_1 = 23.52 \times 43.52[/tex]
[tex]A_1 = 1023.59[/tex]
Next, calculate the area of the 50-inch TV
[tex]A_2 = Height \times Width[/tex]
Where
[tex]Width = 43.52[/tex] and [tex]Height = 24.48[/tex]
So:
[tex]A_2 = 24.48 \times 43.52[/tex]
[tex]A_2 = 1065.37[/tex]
So, the percentage occupied on the screen area is:
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]
[tex]\% Screen = \frac{1023.59}{1065.37} \times 100\%[/tex]
[tex]\% Screen = \frac{102359}{1065.37} \%[/tex]
[tex]\% Screen = 96.08 \%[/tex]
Hence, the percentage of the screen area occupied is 96.08%
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Given f(x) = 3x – 1, solve for x when f(x) = -7.
Answer:
x = -2
Step-by-step explanation:
Given f(x) = 3x – 1
f(x) = -7
3x-1 = -7
3x = -7+1
3x = -6
x = -2
Answer:
x = -22
Step-by-step explanation:
given:
[tex]f(x) = 3x - 1[/tex]
solve for x, when:
[tex]f(x) = -7[/tex]
replace x with -7
~~~~~~~~~~~~
➡️ [tex] x = 3(-7) - 1 [/tex]
➡️ [tex] x = -21 - 1 [/tex]
➡️ [tex]x = -22 [/tex]
Is the image an example of a ray?
B
A
O Yes; AB has an endpoint and continues in one direction forever.
O Yes; AB is one-dimensional.
O No; AB continues forever in both directions.
O No; AB has two endpoints.
Answer:
O No; AB has two endpoints.Step-by-step explanation:
Ray - a continuous line therefore, do not have two endpoints.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
AB is not a ray. It has two endpoints.
What is ray?"It is a part of a line that has a fixed starting point but no end point."
For given example,
We have been given a part of a line AB.
The starting point is A and the end point is B.
We know, one of the end of the ray is denoted by arrow.
Since both the ends of given figure are fixed, it is not ray.
AB is called as line segment.
Therefore, AB is not a ray. It has two endpoints.
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Write a proportion for the situation, and then solve.
1. A test is worth 36 total points, and you want to get an 87% on it. How many
points do you need to score?
mr. Johnson the owner of the candy store keeps 37 jars behind the candy counter each jar contains 286 pieces of candy how many pieces of candy are behind the counter all together
Answer:
10,582 pieces of candy.
Step-by-step explanation:
1 jar contains 286 pieces
Therefore, 37 jars contain:
37 × 286
= 10,582 pieces of candy.
Answer:
10,582 pieces of candy behind the counter
Step-by-step explanation:
multiply 37 by 286 and you get 10,582
a mivie is 1 7/8 hours long after 45 minutes, how much of the movies is left
What’s 9 2/3into as improper fraction .
Answer:
[tex]\frac{29}{3}[/tex]
Step-by-step explanation:
9*3+2
can you figure out what 2x° equals and (90-x)°
I HOPE IT WILL HELP YOU.
Have a great day ahead.
A toy manufacturer produces a set of blocks, with edge b, that can be used by children to build play structures. The production team is analyzing the amount of paint they need for a block
The expression for the total number of blocks is b³
This question seems to be incomplete. Here is the complete question :
A toy manufacturer produces a set of blocks that can be used by children to build play structures. The product packaging team is analyzing different arrangements for packaging their blocks. One idea they have is to arrange the blocks in the shape of a cube, with b blocks along one edge.
Write an expression representing the total number of blocks packaged in a cube measuring b blocks on one edge.
A cube is a 3-dimensional object that has six faces.
Characteristics of a cube
It has six faces It has twelve edges It has eight vertices Intersecting edges are perpendicularVolume of a cube = a³
Where a = length of a side
The expression that would be given is the volume of a cube. Since the length of the edge is b, the expression would be b³
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-6, 20, 4.3, 159/-9
Order from least to greatest
solve using substitution
y = 3x - 4
3x + y = -4
y= 3x –4
3x + y = –4
3x + (3x –4) = –4
3x+3x – 4 = – 4
6x = – 4 +4
6x=0 —> x= 0/6 —> x=0
x = 0y = 3x – 4 —> y = 3(0) – 4 = – 4
y = – 4So; (x , y) —> (0 , – 4 )I hope I helped you^_^
Answer:
(0,-4)
Step-by-step explanation:
3x + y = -4
3x + (3x - 4) = -4
3x + 3x - 4 = -4
6x = 0
x = 0
y = 3(0) - 4
y = -4
In 2003, the population of an African country was about 22.5 million people, which is 1 million more than
5 times the population in 1950.
Enter and solve an equation to find the approximate population p (in millions) in 1950.
An equation is
The approximate population in 1950 was
million people.
Answer:
Population of Africa in 2003 is 22.5 million
population of Africa in 1950 is 1 million - 22.5 million /5
21.5million / 5
21500000/5
4300000
4.3 million people
Reorder the numbers and combine like terms to simplify. 4.5 + 2 1/2 + 6.0 - 5 1/2
A. 8.5
B. 7.5
C. -7.5
D. 7m
Answer: B
Step-by-step explanation:
4.5+6=10.5
2 1/2 - 5 1/2 = 2.5 - 5.5 = -3
10.5 - 3 = 7.5
Which figure shows an example of symmetry?
A.
B.
C.
D.
Find the slope and y intercept
(Please show work)
Answer:
slope = - 6, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
0 = 2x - [tex]\frac{5}{3}[/tex] + [tex]\frac{1}{3}[/tex] y ( multiply through by 3 to clear the fractions )
0 = 6x - 5 + y ( subtract 6x - 5 from both sides )
- 6x + 5 = y , that is
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6 and y- intercept c = 5
PL help meeeeeee!!! Im stuck
plz answer it plz
step by step plz
Answer:
answer is subtract the 180-120=80
Answer:
Y = 60[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.
Answer:
Step-by-step explanation:
Let the greater part = x
Smaller part = 105 - x
2*(greater part) = (3*smaller part) - 15
2*x = 3*(105 -x) - 15
Use distributive property
2x = 3*105 - 3*x - 15
2x = 315 - 3x - 15
2x = 300 - 3x
Add 3x to both sides
2x +3x = 300
5x = 300
Divide both sides by 5
x = 300/5
x =60
Smaller part = 105 - 60 = 45
Greater part = Rs. 60
Smaller part = Rs. 45
Does #6 look right? Im struggling on this
Answer and Step-by-step explanation:
-2 is the correct answer.
But, you should set up your number line like this:
-6 4
<-|-----------|----------|->
-2
4 - 6 = -2
#teamtrees #PAW (Plant And Water)
I hope this helps!
Is -1 1/6 rational? HURRY
Answer:
yes
Step-by-step explanation:
since it can be expressed as a fraction, it is rational
Rational number between 3.623623 and 0.484848
Answer:
1
Step-by-step explanation:
A rational number between 3.623623 and 0.484848 is 1.
Answer:
Remember: rational numbers are numbers that can be written as fractions and decimals that either terminate or repeat. Here are some rational numbers:
0.5, 3/4, 1, 1.5...3, 3.5
Step-by-step explanation:
BRAINLIEST, PLEASE!
Cho 2 tập hợp A = {1;3;5;8}, B = {3;5;7;9}. Tìm A∩B và A∪B.
Answer:
gien
Step-by-step explanation:
How to do this? Please help
Step-by-step explanation:
This equations are quadratic equations, which is on standard form,
[tex] {ax}^{2} + bx + c[/tex]
where a is the leading coefficient, b is the second coefficient, and c is the constant.
Both a and b are in quadratic equation so we need to find the constant separately.
Both sides are equal to zero so we can just subtract the terms not containing a or b in them to the opposite side.
[tex] {x}^{2} - 4 x + a = 0[/tex]
[tex] {x}^{2} + a = 4x[/tex]
[tex]a = - {x}^{2} + 4x[/tex]
For b,
[tex]2 {x}^{2} - 6x + b + 7 = 0[/tex]
[tex] - 6x + b + 7 = - 2 {x}^{2} [/tex]
[tex]b + 7 = - 2 {x}^{2} + 6x[/tex]
[tex]b = - 2 {x}^{2} + 6x - 7[/tex]
