SPEED, DISTANCE AND TIME
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1) A cyclist travels a distance of 90 miles in 5 hours. What
was her average speed?
2) How far along a motorway would you travel if you drove at
70 mph for 4 hours?
3) I drive to Bude in Cornwall from Sheffield in about 6
hours. The distance from Sheffield to Bude is 315 miles.
What is my average speed?
4) The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
5) How long will an athlete take to run 2000 m at an average
speed of 4 metres per second?
6) The distance between Sheffield and Land’s End is 420
miles.
a) What is the average speed of a journey from Sheffield to
Land’s End that takes 8 hours 45 minutes?
b) If Sam covered the distance at an average speed of 63
mph, how long would it take him?
Answer:
1. Speed = 18 miles per hour
2. The distance is 280 miles.
3. The average speed is 52.5 miles per hour.
4. The time to arrive in Leeds would be 11.50 am.
5. Time = 500 s (8 minutes 20 seconds)
6. speed = 48 miles per hour
b. time taken = 6 hours 40 minutes
Step-by-step explanation:
1. Distance = 90 miles and time = 5 hours
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{90}{5}[/tex]
= 18
average speed of the cyclist is 18 miles per hour.
2. speed = 70 mph, and time = 4 hours
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
= 70 x 4
= 280 miles
The distance is 280 miles.
3. distance = 315 miles, and time = 6 hours.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{315}{6}[/tex]
= 52.5
The average speed is 52.5 miles per hour.
4. distance = 210 miles, and speed - 90 mph.
speed = [tex]\frac{distance}{time}[/tex]
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{210}{90}[/tex]
= 2 hours 20 minutes
The time to arrive in Leeds would be 11.50 am.
5. distance = 2000 m, and speed = 4 m/s.
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{2000}{4}[/tex]
= 500 s
It would take the athlete 500 s (8 minutes 20 seconds) to cover the distance in the given speed.
6. distance = 420 miles, and time = 8 hours 45 minutes
But, 8 hours 45 minutes = 8[tex]\frac{3}{4}[/tex] hours.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{420}{8\frac{3}{4} }[/tex]
= 420 ÷ [tex]\frac{35}{4}[/tex]
= 420 x [tex]\frac{4}{35}[/tex]
speed = 48 miles per hour
(b) distance = 420 miles, speed = 63 mph.
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{420}{63}[/tex]
= 6 hours 40 minutes
time taken = 6 hours 40 minutes
If linda has borrowed 8 more books than susan from school library. Richard has borrowed half as many books as Linda has. If Richard has borrowed 17 books from library. How many books has susan borrowed
????????????????????????????
The number of books Susan borrowed is 30 books.
Given that
Richard borrowed 17 books.Richard borrowed half as many as Linda has, so For Linda, it should be 17 × 2 = 38 books.Linda borrowed 8 books more as compared with Susan.So, Susan should borrow books of
= 38 - 8
= 30 books
Therefore we can conclude that The number of books Susan borrowed is 30 books.
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What = 1 + 3/6? If it is right will mark the brainiest if wrong gets reported.
Answer:
1 and ahalf, so 1 1/2
Step-by-step explanation:
I have to use sin, cos, and tan on this problem and I'm stumped.
Answer: ahhh boohoo. Where’s the photo
Step-by-step explanation:
Ba
plss answer this because i dont known ehh
Write the number 255% as a fraction in simplest form.
Answer:
51/200.
Step-by-step explanation:
hope this helps
Answer:
51/20 or 2 11/20
Step-by-step explanation:
We know that percentages are fractions out of 100, so, our original fraction would be:
255/100
both of these numbers can be divided by 5, so:
255 ÷ 5 = 51
100 ÷ 5 = 20
51/20
This can also be turned into a mixed number, so:
2 11/20
300 – 7[4(3 +5)] + 33
Answer:
105
Step-by-step explanation:
your answer is 105.
What is the distance between the two points? Use
the distance formula:
d= V(x2 – «1)? + (y2 – yı)?
Answer:
[tex]d= 3.61\ units[/tex]
Step-by-step explanation:
The points (missing) from the question are:
-2,1 and -5,3
Required
Evaluate [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
In the points given:
[tex](x_1,y_1) = (-2,1)[/tex] and [tex](x_2,y_2) = (-5,3)[/tex]
Substitute these values in [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
[tex]d= \sqrt{(-5 - (-2))^2 + (3 - 1)^2[/tex]
[tex]d= \sqrt{(-3)^2 + (2)^2[/tex]
[tex]d= \sqrt{9 + 4[/tex]
[tex]d= \sqrt{13[/tex]
[tex]d= 3.61\ units[/tex] -- approximated
$70.00 at 5% for 2 years
Answer:
$7
Step-by-step explanation:
Hey there
to solve this kind of problem we use the formula:
[tex]\frac{p * t * r}{100}[/tex] if we solve it :First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 70 × 0.05 × 2 = 7
I = $ 7.00
The simple interest accumulated
on a principal of $ 70.00
at a rate of 5% per year
for 2 years is $ 7.00.
1/2x -5-1/3y when x =48 and y=15
If the fifth term in a geometric sequence is 1∕27 and the common ratio is 1∕3, find the explicit formula of the sequence.
Question 14 options:
A)
an = (1∕3)n – 1 for n ≥ 1
B)
an = (3) ⋅ (3)n – 1 for n ≥ 1
C)
an = (3) ⋅ (1∕3)n – 1 for n ≥ 1
D)
an = (1∕27) ⋅ (1∕3)n – 1 for n ≥ 1
Answer:
The answer is B
Step-by-step explanation:
Supposed that m=3 (x+2)
Question 1 of 5
Table A
Table B
Х
у
х
y
1
3
3
1
2
6
6
2
3
9
9
3
Graph A
Graph B
10
12
11
10
9
5
4
8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
Which table and graph represent the equation y = 3X?
The table and graph that represents the equation y = 3x are:
Table A
Graph B.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
y = 3x
This means,
For x = 0, 1, 2, 3,
y = 0, 3, 6, 9
Now,
The coordinates on the graph of the equation y = 3x will have:
(0, 0), (1, 3), (2, 6), and (3, 9)
We see that,
Graph A has the coordinates:
(0,3).
This is not possible.
And,
Table B has y = 1 when x = 3.
This is not possible.
Thus,
The table and graph that represents the equation y = 3x are table A and graph B.
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Please answer all of them
If 3 hippos eat 5 pumpkins, how many pumpkins per hippo is that?0.6 pumpkin per hippo
If there are 9 hippos, how many pumpkins do you need?
If 3 hippos eat 5 pumpkins, how many hippos per pumpkin is that?
If you have 30 pumpkins, how many hippos can you feed?
A high school teacher is interested to compare the average time for students to complete a standardized test for three different classes of students. The teacher collects random data for time to complete the standardized test (in minutes) for students in three different classes and the dataset is provided below. The teacher is interested to know if the average time to complete the standardized test is statistically the same for three classes of students. Use a significance level of 5%. The teacher has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal. (a) calculate the Test Statistic for this example (round your answer to 2 decimal places) (b) calculate the P-value for this example (round your answer to 2 decimal places)
Answer:
hello some parts of your question is missing attached below is the missing part
"Class A" Class B Class C
111 120 107
75 96 93
109 112 89
101 89 117
102 103 82
81 112 64
103 98 107
87 101 101
88 82 114
answer : a) Test statistic = 0.46
b) p-value = 0.64
Step-by-step explanation:
A) To calculate the Test statistic ; use excel software
steps involved :
i) import Data, ii) choose Anova; single factor
iii) choose input range and column in groups iv) choose output range
attached below is the table
b ) calculate the P -value
P-value = 0.64
The revenue equation of a company, in terms of the price of its product, is R(p) = -15p^2 + 300p + 12000.
find the revenue when the price is $10
Answer:
the answer is six thousand
can somebody please answer this equation
100,000 = y⁵ so y=
Answer:
7500
Step-by-step explanation:
I need help thank you
Answer:
Maybe three
Step-by-step explanation:
Im not sure
The probability of the chance of a tornado would be considered:
A) Empirical Probability
B) Theoretical Probability
C) Subjective Probability
D) Conditional probability
Answer:
B)
Step-by-step explanation:
I’m pretty sure but sorry if I’m wrong
¿Como se escribe 216 grados en minutos?
Answer:
12960 minutos de arco
Step-by-step explanation:
If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?
Answer:
how much money does it cost for one person??
Evaluate 8 * 3 ^ x for a ) x = - 2 and (b) * x = 3 Write your answers in simplest form
Answer:
a. [tex]\frac{8}{9}[/tex] b. 216
Step-by-step explanation:
write a poem and don’t plagiarize please helpppp
Answer:
that is major cheating, I am so sorry I can't help
Evaluate 4 ^ x for (a) x = - 2 and (b) x = 3 . Write your answers in simplest form
The value of 4ˣ for x = -2 and x = 3 is 0.0625 and 64 respectively.
What is an exponential function?The formula for an exponential function is f (x) = aˣ, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given function 4ˣ
when x = -2
4ˣ = 4⁻²
using a⁻ⁿ = 1/aⁿ
4⁻² = 1/4² = 1/16
4⁻² = 0.0625
and x = 3
4ˣ = 4³
4³ = 4 x 4 x 4 = 64
Hence the values are 0.0625 and 64 for x = -2 and 3.
Learn more about exponential function;
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Based on the graph, is there only one solution?
A. Yes
B. No
Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer: 53.5 seconds
Step-by-step explanation:
What is the present value of the following set of cash flows if the discount rate is 13.8%? (the cash flows occur at the end of each period) (round answer to nearest penny and enter in the following format 12345.67)
Year 0 cash flow = -3200 (a negative cash flow)
Year 1 cash flow = 900
Year 2 cash flow = 1000
Year 3 cash flow = 1500
Year 4 cash flow = 1900
Answer:
"flow" (and any subsequent words) was ignored because we limit queries to 32 words.
It looks like there aren't many great matches for your search
Tip Try using words
On a sample tray, 6 out of 20 cake samples are chocolate.
What is the probability that a randomly selected piece of cake will be chocolate?
Answer:
6/20 = 30%
30% is the probability that a randomly selected piece of cake will be chocolate
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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLS SHOW THE WORK!!!!!!!!
Answer:
The answer is (-4/11, -19/11)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation. Hoped this helped!
Brainly, Please?
2) 8x +9y = 82
2x + 2y = 20