Answer: Mean = 2.36 Median = 4 Range = 0
Step-by-step explanation:
Mean - the sum of the data values divided by the number of data values
Median - the middle number in an ordered set of data
Range - the difference between the greatest and least numbers in a data set
A boat covers 25 km upstream and 44 km downstream in t hours. Also, it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of the boat in still water and that of the stream.
9514 1404 393
Answer:
boat speed: (7t -95)/(6t² -110t +500)
stream speed: (37t -345)/(6t² -110t +500)
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...
25/(b-s) +44/(b+s) = t
15/(b-s) +22/(b+s) = 5
This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.
Subtracting the first equation from 2 times the second gives ...
2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)
5/(b-s) = 10 -t
5/(10 -t) = b -s
Substituting for b-s in the second equation gives ...
15/(5/(10-t)) +22/(b+s) = 5
30 -3t +22/(b+s) = 5
22/(b+s) = 3t -25
22/(3t -25) = b+s
Adding the equations for the sum and difference of speeds, we get ...
(b-s) +(b+s) = 5/(10-t) +22/(3t -25)
2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))
b = (7t -95)/(6t² -110t +500)
Subtracting the equations for sum and difference of speeds, we get ...
(b+s) -(b-s) = 22/(3t -25) -5/(10 -t)
2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))
s = (37t -345)/(6t² -110t +500)
__
The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.
The speed of the stream is (37t -345)/(6t² -110t +500) km/h.
__
Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.
I need help with some scientific notation problems
Answer:
1) 4.5 x 10^3 =4,500
2)5.78 x 10^-2
3) 5.7 x 10^1 = 57
4) 6.256 x 10^-3 = 0.006256
5) 7.3 x 10^2 = 730
6) 4.2 x 10^-5 = 0.000042
7) 7x10^-3 = 0.007
8) 2.563 x 10^1
9) 3.0025 x 10^2 = 300.25
10) 1.456 x 10^-1
Which statements are true about the x-intercepts of quadratic functions?
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
A quadratic function can have up to two x-intercepts.
An x-intercept of a quadratic function is also called a zero of the function.
If x = 0 is an x-intercept of a quadratic function, then (x + a) is a factor of the function.
Answer:
Step-by-step explanation:
The following statements are true:
1. A quadratic function can have up to two x-intercepts.
2. An x-intercept of a quadratic function is also called a zero of the function
Please help, i dont understand this
Answer:
lgma
Step-by-step explanation:
1/2x-5=10-3/4x please helpppppp
Answer:
x=12
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x ---> move like terms to the same side
1/2x + 3/4x = 10 + 5 ---> calculate
5/4x = 15 ---> multiply both sides by 4/5
x = 12
is y = 7/8x proportional or non-proportional??
Answer:
It is proportional
Step-by-step explanation:
May have brainllest I only need 39 more to get to genius
7. Jerry has 23 coins in nickels, n, and dimes, d. He
has $1.95 altogether. How many nickels does Jerry
have?
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
PLEASE HELP. no links.
Answer:
45 i think
Step-by-step explanation:
Please help!: Mrs. Carter baked a cake that was in the shape of a rectangular prism. The cake was 24 inches long, 15 inches wide and 3 inches high. She spread frosting on all four sides and the top. How many square inches of frosting did she use?
rectangle base: 24 x 15 = 360
triangle: 15 x 3 x 1/2= 45 x 1/2 = 22.5 x 4 (each side) 90 inches
total: 360 + 90 = 450 inches :)
Which equations are correct? Select each correct answer.
6a5(6a5)=36a25
6b4(−3b4)=−18b8
5x4(4x2)=20x6
3z7(4z2)=12z9
Answer:
2, 3, 4,
Step-by-step explanation:
I took the k12 quiz and i remeber putting these as my answer.
Hope this helps!
Please someone help, I know its kind of a lot, but I need these answers fast pls.
Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.
Answer:
Im not sure
Step-by-step explanation:
GOOD LOOK ON YOUR TEST HE DISCONN-ECTED
In which step did John first make a mistake?
look at photos
Answer:
John did not make a mistake
Step-by-step explanation:
he did everything correct
Anyone know how to answer this question
Answer:
x²+y²=225
Step-by-step explanation:
when centered at the origin the equation of a circle is x²+y²=r²
we are given x and y so 9²+12²=r²
[tex]r^{2} =9^{2} +12^{2}\\ =81+144\\ =225[/tex]
HELPPPPPPP!!!!!!!!!!!!!!
Answer:
the top and bottom ones
Step-by-step explanation:
Sin(x)=sqrt3/2 solutions of
Answer:
pi/3+2pin, 2pi/3+2pi(n)
Answer:
the next one is c - pi/2
Step-by-step explanation:
Use the information from the graphs to write the equation in y=ab*^x
Answer:
1). y = 4(1.75)ˣ
2). y = (2)ˣ
Step-by-step explanation:
1). Let the equation of the given exponential graph is,
y = a(b)ˣ
Graph of the given equation passes through two points (0, 4) and (0+1, 4+3)
For point (0, 4),
4 = a(b)⁰
a = 4
For point (1, 7),
7 = 4(b)¹
b = [tex]\frac{7}{4}[/tex]
b = 1.75
Therefore, equation of the function is,
y = 4(1.75)ˣ
2). Similarly, equation of the second graph will be same in the form of
y = a(b)ˣ
Second graph passes through the points (0, 1) and (2, 4)
For (0, 1),
1 = a(b)⁰
a = 1
For (2, 4),
4 = 1(b)²
b = 2
Therefore, exponential function representing the graph will be,
y = 1(2)ˣ
y = 2ˣ
you want to insert a fill color into a worksheet. what is the first step . Plzz help I’m literally stuck
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?
Answer:
380 cubic inches
Step-by-step explanation:
The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height
I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)
The Riddle Family has a total monthly budget of $3,400. If the utilities represent 15% of the budget, then how much money is the Riddle Family spending on
utilities each month?
Answer: $510
Step-by-step explanation:
Total monthly budget = $3,400.
Percentage of total budget spent on utilities = 15%
The amount that the Riddle Family spending on utilities each month will then be:
= 15% × $3400
= 15/100 × $3400
= 0.15 × $3400
= $510
Answer:
0.15 * 3400 = $________ utilities cost per month
Multiply the monthly cost by 12.
PLEASE HELP ASAP PLEASE
Answer:
3
plz follow me
potphcloysidyodoyzyozlhph
It takes 76 pounds of seed to completely plant an 11-acre field. How many pounds of seed are needed per acre?
Answer:
6 pounds and 9 ounces
or 7 pounds when rounded
given g(x)=2(x-4)+7 find 2g(-6)
Answer:
g(x)=2(x-4)+7
2g(-6)=2[2(-6-4)+7]
=2[2(-10)+7]
=2(-20+7)
=2(-13)
=-26
1.7. In a Maths class, the girl to boy ratio is 7:5.
If there are 20 boys, how many girls are in the class?
Answer:
28 girls
Step-by-step explanation:
Let total students be ‘X’
No of girls = (X-20)
Girls/Boys=7/5=(X-20)/20
7(20) =5(X-20)
140=5X-100
5X=240
X = 240/5
X =48
So, Total Students are 48
No of girls = (X-20) = 48-20 = 28
I don’t get this problem at all-
Answer:
2nd option
Step-by-step explanation:
If AB is a tangent to the circle then ∠ B is right angle
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides, then the triangle is right
longest side = 52 and 52² = 2704
48² + (10 + 10)² = 48² + 20² = 2304 + 400 = 2704
Then AB is a tangent to the circle since ∠ B is a right angle
Help ASAP, ACD and DCB form a linear pair
Answer:
40
Step-by-step explanation:
because 180- 140 = 40
a linear pair means they equal 180
The measure of angle ACD (∠ACD) is 40 degrees.
Given that angles ACD and DCB forms a linear pair, also m ∠DCB = 140°,
We are asked to find the measure of ∠ACD,
So,
If angles ACD and DCB form a linear pair, it means that their sum is equal to 180 degrees.
Let's denote the measure of angle ACD as x.
So, we have the equation:
m∠ACD + m∠DCB = 180°
Substituting the given value for m∠DCB:
x + 140° = 180°
To solve for x, we can subtract 140° from both sides of the equation:
x = 180° - 140°
x = 40°
Therefore, the measure of angle ACD (∠ACD) is 40 degrees.
Learn more about linear pair click;
https://brainly.com/question/1757859
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What is the area of the base ? / / / / /
Answer:
area of base = 20 in²
Step-by-step explanation:
area of base = 2 x 10 = 20 in²
find the probability that the pitcher will throw exactly 4 pitches
Answer:
[tex]\frac{3}{20}[/tex] = 0.15
Step-by-step explanation:
15 + 20 + 40 + 15 + 10 = 100
[tex]\frac{15}{100} = \frac{3}{20}[/tex] = 0.15
Construct the following shapes:
A concave hexagon with one angle of 45⁰ and one side length of 4 cm.
A trapezoid ABCD where AB = 8cm, and CD = 4 cm. What is the measure of each internal angle (use your protractor to measure)?
[To be solved on grid paper]
Which polygons are similar?
1
2
3
4
Triangle 1 and 4 are similar using AAA
number one and four.......
can someone help with just question 3 and 4 i will give brainliest