The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
What is the rate of speed?The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,
r=d/t
Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.
The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let t is the time the train has taken to travel and x is the distance it travelled. Thus,
[tex]t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}[/tex]
After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let t is the time the car has taken to travel and x is the distance it travelled. Thus,
[tex]t+2=3+\dfrac{(x-3\times35)}{51}[/tex]
As t is same, thus put the value of t in this equation,
[tex]\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6[/tex]
Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
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Using complete sentences, explain which function has the greatest y-intercept.
Answer:
Step-by-step explanation:
this is correct trust me im learning this and passing the concept h(x)=2+3
and f(x)=3x-2
Here is a tip use desmos it is a graphing calculater and will tell you the answer
EASY POINTS
Which of the following sets represents the range of the diagram below?
Answer:
D)
Step-by-step explanation:
This is a subjective function and range and co-domain are equal.
Range = {3 , 5 , 7}
For which values of x is the limit positive infinity when x
approaches the values from the left?
Answer:
The Answers are: 1) -3pi/2 & 4) pi/2
Step-by-step explanation:
I got it right!
find the perimeter of a triangle with vertices A(-3,5), B(-3,2), and C(1,2)
It takes $5 in gas to drive 26 miles. How much does each miles cost?
Answer:
$5.20
Step-by-step explanation:
divide 5 dollars by 26 miles.
26 miles÷ $5 = $5.20
A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $275 each, and the desktop computers cost $175 each. How much would it cost to buy 10 notebooks and 16 desktop computers? How much would it cost to buy nn notebooks and dd desktop computers?
Write the equation for total cost, nn notebooks and dd desktop computers:
The cost to buy 10 notebooks and 16 desktop computers is $5550
Cost of notebook computers = $275
Cost of desktop computers = $175 each
The cost to buy 10 notebooks and 16 desktop computers will be:
= 275(10) + 175(16)
= 2750 + 2800
= $5550
The cost to buy n notebooks and d desktop computers will be:
= 275(n) + 175(d)
= 275n + 175d
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The heights, in inches, of five people on a basketball team at listed below 65, 58, 64, 61, 67 explains the meaning of the meaning absolute deviation in context of the situation
Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.In this problem, the mean is given by:
M = (65 + 58 + 64 + 61 + 67)/5 = 63.
Hence the mean absolute deviation is given by:
MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.
The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
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74°
32°
to
Find the value of x
Answer: give the proper question
Step-by-step explanation: for solutions
find the total surface area of this cuboid
the cuboid has a length of 4cm and the width of 2cm and the height of 5cm
Answer:
SA = 76 cm²
Step-by-step explanation:
Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)
SA = 2(lw) + 2(wh) + 2(hl)
l = 4 cmw = 2 cmh = 5 cmSubstitute the values above and multiply:
SA = 2(lw) + 2(wh) + 2(hl)
SA = 2(4)(2) + 2(2)(5) + 2(5)(4)
SA = 2(8) + 2(10) + 2(20)
SA = 16 + 20 + 40
SA = 76 cm²
Final answer: 76 cm²
Hope this helps!
I need help plss, whoever answers me, I’ll give brainliest.
Answer:
12.
Step-by-step explanation:
36 = 3 * 12
48 = 4 * 12,
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2016 bacteria in two and a half hours. Find the hourly growth rate parameter.
so
number = a e^(kt)
2272 = 1800 e^(5k)
1.26222... = e^5k
ln 1.26222... = 5k
k = .04657.. <----- your hourly growth parameter
the instantaneous rate of growth is appr 4.657% per hour.
Can i get some help, please
Answer:
65 degrees
Step-by-step explanation:
The degrees always has to add up to 180 degrees, so if you add 90 degrees and 25 degrees, you get 115 degrees. So since it has to be 180 degrees, you add 65 to 115, and you get 180 degrees.
Answer: 65 degrees . HOPE IT HELPS .
Samantha has a solid with a certain density. She knows the mass of the solid is 170 grams and the volume of the object is 20 cubic centimeters. When she calculates the density of the solid, what units should Samantha use?
Answer:
Step-by-step explanation:
Comment
The formula for density is D = m/V
the units of mass are gramsThe units of volume is cm^3Therefore the units of density is
Density = grams/cm^3
At the Natural History Museum, tickets cost $12 for adults and $4 for kids under 12. What would be the total cost for 3 adult tickets and 8 kids tickets? What would be the total cost for aa adult tickets and kk kids tickets?
Total cost, 3 adult tickets and 8 kids tickets:
Total cost, aa adult tickets and kk kids tickets:
Answer:
68
Step-by-step explanation:
if tickets cost $12 for adults and there are 3 adult tickets being bought the total cost for adult tickets will be $36
Now for the kids, the tickets cost $4 and there are 8 kids, so the total cost for the kids tickets is $32
so the total price for 3 adult tickets and 8 kids tickets is $68
------
sorry if I didn't answer right I cant tell if the last part is a typo or a question
Answer:
see below
Step-by-step explanation:
ok so there are 8 children and $4 so 4x8=32 and 3 adults for $12 so 3x12=36
36 + 32
3+3=6
6+2=8
36+32= 68
determine the mass of a sample of silver if 705 j of heat are required to raise its temperature from 25 c to 35 c. The specific heat of silver is 0.235 j/g c
Answer:
300g
Explanation:
heat added=specific heat * m * change in temp
705= .235* x*(35-25)
solve for x, thus the answer being 300g
Find the product of smallest natural number and the smallest whole number , 보라해
Answer:
smallest whole number is 0 so product of 0 is 0
smallest natural number is 1 so product of 1 is 1
Find the degree of the monomial.4.5
8a b5
Answer: 17a
Step-by-step explanation: additon
Please help me math
Answer:
5.66
Step-by-step explanation:
→ State Pythagoras' theorem
a² + b² = c²
→ Substitute in the values
4² + 4² = c²
→ Simplify
32 = c²
→ Square root both sides
√32 = c
Answer:
Step-by-step explanation:
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
c= √32
c= 5.66
Solve this question for points
The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times, 26 repeated 1 time, and 27 3/4 repeated 1 time so on.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
Draw dots on each of the data element in the data set:
25 repeated 1 time
25 1/2 repeated 2 times
26 repeated 1 time
27 3/4 repeated 1 time
28 1/2 repeated two times
And so on.
Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times, 26 repeated 1 time, and 27 3/4 repeated 1 time so on.
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Find the domain and range of the relation graphed below.
Answer:
Domain: -4 < x < 2
Range: -3 < y < 3
An electrician uses 46 3/4 feet of push-back wire from a 200-foot roll. How many feet of wire are left on the roll?
Answer:
153 1/4 feet
Step-by-step explanation:
Remaining
200 - 46 3/4153 1/4 feetneed help ASAp pleaseeeeeeeeeeeeeeeee
A group of 9 friends received a combined total of 233 text messages in two hours. One person received 25 messages. How many text messages did each of the other 8 friends receive if they each received the same number of messages as each other
If one person received 25 messages. Then the number of messages received by each friend will be 26.
What is division?The division of something into distinct portions, or the sharing of something among other persons, locations, or things, is referred to as division.
A group of 9 friends received a combined total of 233 text messages in two hours. One person received 25 messages.
Then the number of the remaining messages will be
→ 233 - 25
→ 208
Then the number of the text messages that each of the other 8 friends receives is the same number of the messages. Then we have
Let each friend has an equal number of the messages be x. Then
[tex]\rm x = \dfrac{208}{8}\\\\x = 26[/tex]
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Geometry
PLS NEED HELP
Answer: B
All of the other options do not apply,
Translate the triangle.
Then enter the new coordinates.
Answer:
see explanation
Step-by-step explanation:
the translation < 3, 2 >
means add 3 to the original x- coordinate and add 2 to the original y- coordinate, then
A (3, 0 ) → A' (3 + 3, 0 + 2 ) → A' (6, 2 )
B (4, - 2 ) → B' (4 + 3, - 2 + 2 ) → B' (7, 0 )
C (1, - 3 ) → C' (1 + 3, - 3 + 2 ) → C' (4, - 1 )
Evaluate x + y when x = -19/12 and y = -7/5
Hey there!
x + y
= -19/12 + (-7/5)
= -19/12 - 7/5
= -95/60 + -84/60
= -95/60 - 84/60
= -95 + (-84) / 60 - 0
= -95 - 84 / 60
= -179 / 60
Therefore, the answer should be:
-179 / 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
x+y= -2 59/60
Step-by-step explanation:
=-19/12-7/5 = -95-84
60
=-179
60
= -2/59/60
The annual mean thickness of the ice cover declined from a peak of 3.71 m in 1980 to a minimum of 2.46 m in 2000, What is the percent decrease in the annual mean thickness of the ice cover?
Using it's equation, it is found that the percent decrease in the annual mean thickness of the ice cover was of 33.69%.
What is the percent decrease of an amount?It is given by the decrease divided by the initial amount and multiplied by 100%.
In this problem:
The initial amount was of 3.71 m.The decrease was of 3.71 m - 2.46 m = 1.25 m.Hence the percent decrease is given by:
P = (1.25/3.71) x 100% = 33.69%.
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Find the area of the composite figure. First, find the area of the triangle.
Please help
Answer:
triangle: 28cm² | parallelogram: 88cm² | composite: 116cm²
Step-by-step explanation:
Find area of triangle (1/2)(base)(height)
(1/2)(8)(7)
(4)(7)
28cm²
Find area of parallelogram (base)(height)
(8)(11)
88cm²
Add them together to get the composite area
28 + 88 = 116cm²
What is the answer to 8+9
the quotient of two numbers is 3 and their sum is 8 what are he two numbers
To change words into equations, we can recognize keywords that translate into operations and/or numbers:
quotient = dividea number/the number/two numbers = variables sum = addSolving the QuestionLet the two numbers be a and b.
We're given:
quotient of a and b is 3First, isolate a in the first equation and substitute it in the second equation to solve for b:
[tex]\dfrac{a}{b}=3\\\\a=3b[/tex]
[tex]a+b=8\\3b+b=8\\4b=8\\b=2[/tex]
Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for a:
[tex]a+b=8\\a+2=8\\a=6[/tex]
Therefore, the other number is 6.
AnswerThe two numbers are 2 and 6.