Lance is an enthusiastic cyclist.
He uses an app on his phone to track each of his cycling sessions.
Below is shown some information about his last three.
In Lance’s last three cycling sessions.
(i) What was the shortest distance cycled?
(ii) What was the longest time that he cycled for?
(iii) Work out Lance’s cycling time.
Answers
Answer:
17.25 ; 1:01:13 ; 4 hours 47 minutes, 38 seconds
Step-by-step explanation:
From the picture attached :
The shortest distance cycled :
17.25 < 25.80 < 27.42
Hence, shortest distance cycled is : 17.25
Shortest cycling time :
1:01:13 < 1:50:05 < 1:56:20
Hence, shortest distance cycled is : 1:01:13
Total cycling time:
1:01:13 + 1:50:05 + 1:56:20
1 + 1 + 1 = 3 hrs
01 + 50 + 56 = 107 = 107/60 = 1 hr 47 minutes
13 + 05 + 20 = 38 seconds
Total cycling time :
(3 + 1 hr 47 minutes + 38 seconds) = 4 hours 47 minutes, 38 seconds
Related Questions
The ratio 2 centimetres to 5 metres can be written in the form
1
:
n
.
Find the value of
n
.
Answers
Answer:
n = 250
Step-by-step explanation:
To express the ratio, the quantities must have the same measures
2 cm : 5 m
= 2 cm : 500 cm [ 1 m = 100 cm ]
Divide both parts by 2
= 1 : 250 → with n = 250
In triangle ABC, A is a right angle and M B=45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
Answers
Step-by-step explanation:
- In a right triangle, if ∠B is 45°, then ∠C is too.
-- Since ∠B and ∠C are equal, the sides opposite them
are equal too. This is an isosceles right triangle. Its legs
are equal.
-- (The hypotenuse)² = (one leg)² + (the other leg)²
= (12-ft)² + (12-ft)²
= (144 x 2)
The hypotenuse = √(144 x 2) = 12√2 .
LOL
please help!!
i’m really stuck and confused!
Answers
Answer: a.2^3, b. 3^5, c. 4^3 + 5^2, d. 9^4 + 7^2
Step-by-step explanation:
i took this class already
Answer:
a) = 8
b)=243
c)=1 600
d)=321 489
Explanation
a) 2×2= 4×2= 8
b)3×3=9×3=27×3=81×3=243
c)4×4=16×4=64×5=320×5=1 600
d)9×7=63×9=567×9=5 103×7=35 721×9=321 489
Determine the INTEREST ONLY for $4,331.00 earning 5.5% for 4 years, compounded semi-annually.
Answers
34,648 + 5.5% = 36,553.64
to find interest:
36,553.64 - 34,648 = 1,905.64
THE INTEREST RATE IS $1,905.64
Find the volume of the cone. Use 3.14 for pi.
Answers
Answer:
V≈157.08
Step-by-step explanation:
I hope this helps
Please help!
Find the indicated side of the
right triangle.
60°
Х
3
30°
x = [?]
Enter
Answers
Answer:
x = 6
Step-by-step explanation:
sin 30° = 3/x
0.5 = 3/x
.5x = 3
x = 3/.5
x = 6
The indicated side of the right-angled triangle is 6.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
The triangle is a right-angled triangle.
So, we know,
SinФ = perpendicular / hypotenuse.
And here, perpendicular = 3 unit
And hypotenuse = x unit
Substituting the values,
Sin30° = 3/x
1/2 = 3/x
x = 6
Therefore, the value of x is 6.
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Why does stock have more potential for higher returns than bonds?
Answers
Answer:
Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.
Step-by-step explanation:
Hope this will help
Answer:
Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investments will be lost. However, a stock's price will also rise in spite of this risk when the company performs well, and can even work in the investor's favor.
Step-by-step explanation:
9. Spanky is four inches less than of Lanky's height. Write an expression for
Spanky's height.
Algebraic Expression:
Spanky
Lanky is 72 inches tall. How tall is Spanky?
Algebraic Expression
Numerical Expression
Answer
You pick the variable for
Lanky's height! Lanky
Answers
68 inches tall is Sparky
Step-by-step explanation:
just take of 4 tall of lanky then you will get the tall
The number y of calories burned after x minutes of kayaking is represented by the linear function y=4.5x . The graph shows the number of calories burned by hiking.
a. Which activity burns more calories per minute?
A) kayaking
B) hiking
Question 2
b. You perform each activity for 45 minutes. How many total calories do you burn?
You burn 472.5 calories.
Question 3
Justify your answer.
Answers
Step-by-step explanation:
Aswer:
22.5 more calories are burned
Hiking:
y=255
Kayak:
y=202.5
500g to 0.4kg as a ratio
Answers
Answer:
500 : 0.4
Step-by-step explanation:
3. A company makes a profit of $15 per software program and $10 per video game. The company can produce
at most 70 software programs and at most 80 video games per week. Total production cannot exceed 100
items per week. How many items of each kind should be produced per week in order to maximize the profit?
Use linear programming to solve. Show all your work.
Answers
Answer:
For the profit to be maximized, 20 software programs and 80 video games should be produced
Step-by-step explanation:
Let x represent the number of the software programs and let y represent the number of video games.
We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;
x ≤ 70
y ≤ 80
Also, we are told that the overall production cannot exceed 100. Thus;
x + y ≤ 100
Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;
15x + 10y
When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.
Thus, one point of maximizing values is; (70, 30)
Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.
Thus, second point of maximization is;
(20, 80)
Putting these points into the objective function, we have;
At (70, 30); 15(70) + 10(30) = $1350
At (20, 80); 15(20) + 10(80) = $1100
For the profit to be maximized, 20 software programs and 80 video games should be produced
Guided Practice
Determine whether the relation is a function. Explain why or why not.
{(3, 7), (3, 8), (3, –2), (3, 4), (3, 1)}
A.
No; the domain value 3 corresponds to multiple range values.
B.
Yes; there is no value in the domain that corresponds to more than one value of the range.
C.
No; a function must have multiple domain values.
Answers
Answer:
A. it is not a function because there are multiple y-values paired with a single x-value.
Step-by-step explanation:
Help I need to submit this ASAP
Answers
Answer: th
Step-by-step explanation:
9x^3- 18x^2 - 4x + 8 : x- 2
Answers
Answer:
Step-by-step explanation:
[tex]9x^3-4x-18x^2+8\\ \\ x(9x^2-4)-2(9x^2-4)\\ \\ (x-2)(9x^2-4)\\ \\ (x-2)(3x+2)(3x-2)\\ \\ \text{If you divide by x-2 you have}\\ \\ (3x+2)(3x-2)[/tex]
Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days
Answers
Answer:
Step-by-step explanation:
d+821=5323
d=4502
So the distance she climbed in the first four days was 4502 feet.
A triangle has sides of lengths 19 centimeters, 19 centimeters, and 26 centimeters and angle measures of 84º. 489 and 48°. Which image shows this triangle?
84
19 cm
19 cm
248
48
26 cm
48
19 cm
19 cm
O
84
48
26 cm
84
19 cm
26 cm
248
48
19 cm
48
26 cm
O
19 cm
18
84
19 cm
Answers
Answer:this is the answer
Step-by-step explanation:
Just did the test
A book store sells used
books.
Paperback books cost $1.00.
Hardback books sell for $5.00.
The store sold 100 books and made $260 from the sale.
How many paperback books did the store sell?
Α. 20
В. 40
C. 60
D. 80
Answers
Answer:
The correct answer is C
Positive
A line goes through the point (5,7) and has a slope m= -3
Answers
Answer:
y=-3x+7
Step-by-step explanation:
The slope form is y=mx+b
7 replaces B since the points intercept at positive 7. The slope is already given to you so that ur equations
plug in the given point and the slope into point slope form:
y-7 = -3 (x-5)
solve for y to get slope intercept form
y-7 = -3x + 15
y = -3x + 22
2+3.3x-1.7=5.25 solve for x
Answers
Answer:
1.5
Step-by-step explanation:
2+3.3x-1.7=5.25
=> 3.3x = 5.25 +1.7 -2
=> 3.3x = 6.95 - 2
=> 3.3x = 4.95
[tex] = > x = \frac{4.95}{3.3} [/tex]
[tex] = > x = \frac{49.5}{33} [/tex]
=> x = 1.5 (Ans)
Henry is trapped at the roof top of a burning building, which is 24 feet high. In order to rescue him, his father, Diego, must find a ladder which will be used to cross the river, which is 7 ft wide, and go up directly to the top of the building. Help Diego to find the appropriate length of ladder from the other side of the river to the top of the building.
Answers
Answer:
168
Step-by-step explanation:
so what you are going first is 24 times 7 which is
there are 250 chairs and 150 chairs are full what is the percentage of occupied chair what is the percentage of non occupied chair
Answers
Answer:
What is p% of x?
What is
150
%
of
250
?
y =
375
what is p% of x? formula
Step-by-step explanation:
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the
probability that it is purple or not red.
Answers
Answer:
97/139
Step-by-step explanation:
You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.
Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].
What is probability?The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.
According to the question
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.
You pick one candy at random.
We have to find probability that it is purple or not red.
Formula for probability:
[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]
Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]
Number of favorable outcomes = 32
Probability that it is purple or not red.
[tex]P(E)=\frac{32}{151}[/tex]
Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].
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Work out the following, giving your answers in their simplest form:
a) 2/3 divided by 1/4
b) 7 divided by 2/3
Answers
a) 2 and 2/3
b) 10 and 1/2
a)
Calculate the gradient of the line using rise/run method.
Answers
Given:
The graph of line.
To find:
The gradient of the line using rise/run method.
Solution:
We know that the gradient of a line is also known as slope.
[tex]Slope=\dfrac{Rise}{Run}[/tex]
Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.
[tex]Rise=-3[/tex]
[tex]Run=2[/tex]
Now,
[tex]Slope=\dfrac{Rise}{Run}[/tex]
[tex]Slope=\dfrac{-3}{2}[/tex]
The gradient of the line is [tex]-\dfrac{3}{2}[/tex].
Therefore, the correct option is C.
A man invests 10000 for 3 years at a certain rate of interest, compounded annually. At the
end of one year, it amounts to 11200. Calculate :
(i) the rate of interest per annum;
(ii) the interest accrued in the second year;
(ii) the amount at the end of the third year.
Answers
Step-by-step explanation:
10000, After 1 year amount = 11200 so interest after 1 year = 1200
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%
Interest for the second year = 11200(1+12/100)1 - 11200 = 1344
after 3 years = 10000(1+12/100)3 = 14049.28
Step-by-step explanation:
(I) Principle = Rs 10000, After 1 year amount
= Rs 11200 so interest after 1 year
= Rs 1200
R = 12%
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%——————————————————————————————————————
(Ii)Interest for second year = 11200(1+12/100)1 - 11200 = Rs 1344
(iii)Amount after 3 year = 10000(1+12/100)3 = Rs 14049.28
gamestop is losing value at 5% per day. if its 50 dollars per share to day, how much will it be worth at the end of the week
Answers
Answer:
GameStop will be worth $34.92 by the end of the week
Step-by-step explanation:
It's sad, but true lol
I need help on this.. First person to answer this correctly gets a BRANLIST
Answers
Answer: The relation is a function.
Step-by-step explanation: Since there is one value of y for every value of x in (-2,4), (3,7), (0,8), (5,8), and (1,6), this relation is a function.
I hope this helps you out!
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Answers
Have a nice day!
Please answer this today - First correct answer becomes brainliest
Suppose you know x+2y=-1 and 3y-x=-19. What is xy?
Answers
{ 3y-x = -19
{ x = -1-2y
{ -x = -19-3y
{ x = -1-2y
{ x = 19+3y
-1-2y = 19+3y
y = -4
x = 19+3(-4)
x = 7
(x,y) = (7,-4)
——
check solution
{ 7+2(-4)=-1
{ 3(-4)-7=-19
{ -1 = -1
{ -19 = -19
Caleb claims that the order pairs shown in the table below are from a nonlinear function.
x f(x)
0 2
1 4
2 8
3 16
please show your work
Answers
Caleb is correct bc he table doesnt have a constant rate of change so it cant be linear.
its a exponential function.
4/2 = 2; 8/4 = 2; 16/8 = 2.
i s#ck at answering lma*oo. hope this helped
Caleb is correct the table doesn't have a constant rate of change so it can't be linear.
What is a nonlinear function?Any function whose graph is not a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope. Every pair of points on the graph do not have the same slope.
The rate of change of the function is not constant for the given data so it can not be a linear function. It's an exponential function.
4/2 = 2; 8/4 = 2; 16/8 = 2.
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