The distance by rail from Leicester to Londonis 100 miles.
Assume that the train travels at an average speed of 80 mph.
Calculate the arrival time in London of a train that leaves Leicester at 11:50 a. M.
Input note: write your answer in 24 hour clock mode
The arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.
To calculate the arrival time in london of a train that leaves Leicester to london at 11:50 A.M, use use the formula below.
Formula:
Ta = [(d/s)+11:50]....... Equation 1Where:
Ta = Arrival timed = distance from Leicester to Londons = SpeedFrom the question,
Given:
d = 100 miless = 80 mphSubstitute these values into equation 1
Ta = [(100/80)+11:50]Ta = 1.25h+11:50Ta = 1 hours 15 minutes +11:50Ta = 13:05 pmHence, the arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.
Learn more about time here: https://brainly.com/question/4931057
Which of the following is the difference of two squares? 16a^2-9b^6 4g-16h 25m^2+100n^2 2x^2-4y^2
Answer:
16a^2 - 9b^6
Step-by-step explanation:
16a^2 - 9b^6 ---> 16a² is the square of 4a; 9b^6 is the square of 3b³
This is the difference of 2 squares
4g - 16h ---> 4g and 16h are not perfect squares.
25m^2 + 100n^2 ---> this is a sum of squares, not a difference of squares
2x^2 - 4y^2 ---> 2x² is not a perfect square
Answer: 16a^2 - 9b^6
Solve |d + 4| > 10
a.d<-14
b. d> 6
c. -14 < d<6
d. d<-14 or d > 6
Answer:
b. d > 6
Step-by-step explanation:
Answer:
D. d<-14 or d>6Step-by-step explanation:
To solve for d, isolate it on one side of the equation.
|d+4|>10
d+4<-10 or d+4>101. d+4<-10First, you have to subtract by 4 from both sides.
[tex]\sf{d+4-4 < -10-4}[/tex]
Solve.
Add or subtract the numbers from left to right.
-10-4=-14
[tex]\Longrightarrow: \boxed{\sf{{d < -14}}}[/tex]
2. d+4>10Subtract by 4 from both sides.
[tex]\sf{d+4-4 > 10-4}[/tex]
Solve.
Subtract the numbers from left to right.
10-4=6
[tex]\Longrightarrow: \boxed{\sf{d > 6}}[/tex]
Therefore, the correct answer is "D. d<-14 or d>6".I hope this helps. Let me know if you have any questions.
When f(x) = –3, what is x?
–29
–10
–3
–1
Answer:
x = - 1
Step-by-step explanation:
I hope this will help you
What is 3/4 of 8/9? Make sure the answer is fully reduced.
Answer:
[tex]\frac{2}{3}[/tex]
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Solve"Of" means to multiply, so start off the equation multiplying the top numbers by the top numbers, and the bottom numbers by the bottom numbers as though they are whole numbers.
[tex]\frac{3*8}{4*9} = \frac{24}{36}[/tex]
Find the greatest common factors of 24 and 36, starting with 24
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
As shown, the greatest common factors are 12, so divide by 12 to simplify.
[tex]\frac{24 / 12}{36/12} = \frac{2}{3}[/tex]
Two-thirds cannot be simplified, so that will be your final answer.
4x+3y=9 and 3x +4y = 36
The solution of the system of equations:
( -16.7, 19.28)
How to solve the system of equations?
Here we have the system:
4x+3y=9
3x +4y = 36
First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:
x = 36/3 - (4/3)y = 9 - (4/3)y
Now we can replace this in the other equation:
4*(9 - (4/3)y) + 3y = 9
36 - (16/3)y + (9/3)y = 9
- (7/3)y = -36 - 9 = -45
y = (3/7)*45 = 19.28
To get the value of x, we get:
x = 9 - (4/3)*19.28 = -16.7
Then the solution of the system is ( -16.7, 19.28)
If you want to learn about systems of equations:
https://brainly.com/question/13729904
#SPJ1
What is the exact circumference of a circle with a diameter of 18
inches?
Answer:
18 pi inches
Step-by-step explanation:
Circ of circle = pi * d
= 18 pi exactly
if the circumference of a circle is 6.28 what is the circles radius
Answer: 1
Step-by-step explanation: Circumference is 2 x 3.14 × radius
6.28 = 6.28 × radius
Radius is 1
Which of the following statements is true about the three quadrilaterals?
A and B are similar but not congruent.
A and C are similar but not congruent.
A and B are similar and also congruent.
B and C are similar and also congruent.
Select the correct answer from each drop-down menu. betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles. the probability that exactly 1 of the 4 marbles drawn is blue is . the probability that at least 1 of the 4 marbles drawn is white is .
The probability of exactly 1 of the 4 marbles drawn being blue and at least 1 of the 4 marbles drawn being white will be 0.3535 and 0.7454 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles.
The total number of the marbles will be
Total marble = 3 + 4 + 5
Total marble = 12
Then the probability of exactly 1 of the 4 marbles drawn being blue will be
[tex]\rm P(B) = \dfrac{^5C_1 \times ^7C_3}{^{12}C_4}\\\\P(B) = \dfrac{35}{99} = 0.353535[/tex]
Then the probability of at least 1 of the 4 marbles drawn being white will be
[tex]\rm P(W) = \dfrac{^{3}C_1\times \ ^{9}C_3}{^{12}C_4} + \dfrac{^{3}C_2\times \ ^{9}C_2}{^{12}C_4} + \dfrac{^{3}C_3\times \ ^{9}C_1}{^{12}C_4} \\\\\\P(W) = \dfrac{252}{495} + \dfrac{108}{495} + \dfrac{9}{495}\\\\\\P(W) = \dfrac{369}{495}\\\\\\P(W) = 0.745454[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
A. 0.3535.
B. 0.7455.
Step-by-step explanation:
The probability that exactly 1 of the 4 marbles drawn is blue is 0.3535. The probability that at least 1 of the 4 marbles drawn is white is 0.7455.
Can any one answer this correctly?
Answer:
A
Step-by-step explanation:
The Y-intercept is -3.
The gradient is -3/4 since it goes down 3 every 4 tiles.
Answer:
[tex]y=-\frac{3}{4}x -3[/tex]
Step-by-step explanation:
Hey there!
We can form this equation in slope-intercept form
This means, we have to find the slope and the y intercept of the line
First lets find the slope
The equation for slope is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In order to find y and x, we need to take two points on the line
(-4, 0) and (0, -3)
x1 y1 x2 y2
Plug it in:
[tex]\frac{-3-0}{0-(-4)} \\\\\frac{-3}{4} \\\\-\frac{3}{4}[/tex]
This means, the slope is -3/4
Now we have to find the y-intercept
The y-intercept is where the line intercepts the y-axis
The line intercepts the y-axis at the point (0, -3)
So now that we have the slope and the y-intercept, we can form the equation
[tex]y=-\frac{3}{4}x-3[/tex]
need help on this question
Answer: 4
Step-by-step explanation:
Cylinder A has a radius of 7 inches and a height of 5 inches. cylinder B has a volume of 490 pi. What is the percentage change in volume from cylinder A to cylinder B
Find the value of x (show all work on paper):
Adj: 48
Hyp: 50
A:42
B:10
C:14
D:70
Answer:
16.260 (3 d.p.)
Step-by-step explanation:
Use SOHCAHTOASince you have the adj and hyp, use CAHcos(x) = adj / hyp = 48 / 50x = cos-1(48/50) [What i mean by cos-1 is the inverse of cosine. You can find this by pressing shift + cos on most calculators)This gives you 16.260 (to 3 d.p.)A rectangular pool has a length of 10 feet, a width of 8 feet, and a height of 6 feet. What is the volume of the pool?
Answer:
volume = 10 x 8 x 6 = 480
Step-by-step explanation:
that’s the volume equation length x width x height
144=(n+1)^2 this equation should have 2 answers
Answer:
(12)^2=(n+1)^2
12=n+1
12-1=n
n=11
Step-by-step explanation:
another one
(12)^2-(n+1)^2=0
(12-n-1)(12+n+1)=0
either:-
n=11 or n=-13
[tex]~~~(n+1)^2 =144\\\\\implies n+1= \pm\sqrt{144}\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13[/tex]
100 Points and Brainly.
Write an Equation
Based on the information write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
This is my data
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3. I did the activity 105 Times in a minute and a half
4. The Dependent Variable is 105
5. The Independent Variable is 1 minute.
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Answer:
See below
Step-by-step explanation:
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.
Liked that. So let's be creative.
Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.
2. How long did you spend doing your activity?
Suppose it took you 5 minutes.
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
You did 100 joge suburi in 5 minutes. It means [tex]\frac{100}{5} =20[/tex] [tex]per[/tex] [tex]minute[/tex]
4. Which of these variables is your dependent variable?
If you want to calculate how much suburi you did in an amount of time , given the time in minutes, we can write the function
[tex]y=f(x)=20x[/tex]
Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.
Considering the example: I did 24 sit-ups in one minute.
sit-ups is the dependent variable and the number of minutes represents the independent variable.
Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be
[tex]g(x)=24x[/tex]
5. Which one is the independent variable?
The time in minutes.
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)
You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).
You may use the table below for your variables.
Time (minutes) Quantity of suburi
0 0
1 20
2 40
3 60
4 80
5 100
Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.
This part I will let it to your. But is is just a linear graph.
Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
[tex]y=f(x)=20x,[/tex] ∀[tex]x[/tex] ∈ [tex]Z[/tex][tex]\geq_0[/tex]
[tex]y:[/tex] [tex]number[/tex] [tex]of[/tex] [tex]suburis[/tex]
[tex]x:[/tex] [tex]time[/tex]
7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
For [tex]x=12[/tex]: [tex]y=f(12)=20*12=240[/tex]
240 suburis
8. How long would it take you to reach 100 for the number of times you did your activity?
5 minutes.
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.
The function is the best because it describes all the variables easily.
Can someone teach me how do this! Please and thanks!
Check the picture below.
In one-half hour, a car traveled 20 km. Find the average velocity in km/min. (Round to the nearest
hundredth)
Step-by-step explanation:
[tex]s = 20km \\ t = 30min[/tex]
[tex]v = \frac{s}{t} \\ v = \frac{2}{3} [/tex]
[tex]v = 0.67[/tex]
[tex]v = 0[/tex]
Please help! Please break down what equation or process I need to do to get the answer as well :/
Check the picture below.
What is the probability of rolling a dice and rolling a 5, then rolling it again and rolling an 6?
Answer:
1/6
Step-by-step explanation: Im going to guess the dice has 6 sides, rolling any number on that 1 dice would be a 1/6 chance. I hope this helps!
Which inequality is represented by this graph? A. B. C. D.
The correct answer is C. This is because the shaded part, the y, is less than the line, so it would be <, but the line is not dotted, so then it would be less than or equal to.
write 701.3% as a whole number or mixed number in simplest form
7013/10
Step-by-step explanation:
first, count the decimal to the right
as you can tell, we can only do it once so therefore we get 10
we then multiply 701.3/1 both sides with 10
then we get out answer 7013/10
Which triangle would be most helpful in finding the distance between the points (-4,3) and (1, -2) on the coordinate
plane?
Answer:
Right Triangle, the distance between these two coordinates is 5.83 in whatever unit you're measuring.
Step-by-step explanation:
Generally when you're using triangles to find the distance between two graphed points, you're using a right triangle.
[tex]9 + 25 = 34\\\sqrt{34}=5.83[/tex]The reason behind that being you can draw lines on the x and y axis of these points and find where they connect. After doing so, you can directly connect the two points and create a right triangle.
To find the distance between the two points using a right triangle, we can use the formula for the hypotenuse: [tex]a^2 + b^2=c^2[/tex]
A and B is the distance between the point and where the lines you've drawn intersect. C is the resulting distance between the two points.
Plugging in A and B, which is 3 and 5, we can find C. 3 squared is 9 and 5 squared is 25.
[tex]3^2 + 5^2 = 9 + 25[/tex]
Now we add the two and find the square root.
[tex]9+25=34\\\sqrt{34} =5.83[/tex]
Your answer is 5.83
Math question about geometry. (will give brainliest to whoever answers correctly with an explanation)
Answer:
72 cm³
Step-by-step explanation:
The formula to find the volume of a trianglular based pyramid is [tex]V=\frac{1}{3}bh[/tex], where V is the volume, b is the area of the vase, and h is the vertical heightSubstitute in the values[tex]V=\frac{1}{3}\times (\frac{1}{2}\times 12\times 4)\times 9 = \frac{1}{3}\times 48\times 9 = \frac{1}{2}\times 48\times 3 = 72[/tex]please help youll get brainliest
Answer:
B) f(x) = 2/5㏒(x) + 2Step-by-step explanation:
Given graph
f(x) = ㏒₂ xChanges
Transformed up by 2 unitsvertically compressed by factor of 0.4Solving
Shifted up by 2 units
f(x) = ㏒₂ (x) + 2Vertically compressed by factor of 0.4
f(x) = 2/5㏒(x) + 2What is the solution to the equation 2(×+2. 4)=6. 4
Answer:
0.8
Step-by-step explanation:
2x + 4.8 = 6.4
2x = 6.4 - 4.8
2x = 1.6
x = 0.8
Answer:
x = 0.8Step-by-step explanation:
In the question we're given with an equation that is 2 ( x + 2.4 ) = 6.4 . And we're asked to find the solution of the equation that means we have to find the value of x .
Solution : -
[tex] \longmapsto \: 2(x + 2.4) = 6.4[/tex]
Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :
[tex] \longmapsto \: 2x + 4.8 = 6.4[/tex]
Step 2 : Subtracting 4.8 on both sides :
[tex] \longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8[/tex]
On further calculations :
[tex] \longmapsto \:2x = 1.6[/tex]
Step 3 : Dividing by 2 on both sides :
[tex] \longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = \frac{1.6}{2} [/tex]
Calculating further :
Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10
[tex] \longmapsto \:x = \cancel { \frac{16}{2}} \times \frac{1}{10} [/tex]
Step 4 : Cancelling 16 by 2 :
[tex] \longmapsto \:x = \frac{8}{10} [/tex]
[tex] \longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}[/tex]
Therefore value of x is 0.8 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
2 ( x + 2.4 ) = 6.42 ( 0.8 + 2.4 ) = 6.42 ( 3.2 ) = 6.46.4 = 6.4L.H.S = R.H.SHence, Verified .Therefore, our value for x is correct .
#Keep LearningA microwave raises the temperature of water by about 90 F in 5 minutes . Which graph has the slope that represents this rate of increase
Answer:
B.
Step-by-step explanation:
Look at all graphs and find 90 deg on the left side. Follow it to the right until you intersect the graph. then go straight down. You must intersect the x-axis is 5 minutes. The only graph that does this is B.
Answer: B.
I think the answer is B because here's the explenation.
6.
April sold 85 tickets to a school play
and collected a total of $495. If adult tickets cost $10 each and child
tickets cost $5 each, how many adult tickets and how many child tickets did she sell?
Answer:
adult tickets =14
child tickets =71
Step-by-step explanation:
x is adult tickets
y is child tickets
x+y=85
10x+5y=495
y=85-x
2x+y=99
2x+(85-x)=99
x=99-85=14
y=85-x=85-14=71
50 POINTS PLEASE ANSWER ASAP
What is the diameter of a circle whose circumference is 5?
Answer:
[tex]4)\ = \frac{5}{\pi}[/tex]
Step-by-step explanation:
Formula:________________
circumference = Diameter × π
_______________________
Then
5 = Diameter × π
Then
[tex]Diameter \ = \frac{5}{\pi}[/tex]