Answers
Answer:
The average speed of the athlete for the entire competition is approximately 21.23 km/hr
Step-by-step explanation:
The given parameters of the athlete performance in the triathlon are;
The length the athlete swims = 750 m = 0.75 km
The time the athletes spends swimming = 15 minutes = 0.25 hours
The speed with which the athlete cycles = 40 km/hr.
The time the athletes spends while cycling = 30 minutes = 0.5 hours
The distance the athlete ran = 5 km
The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.
The formula for average speed, s is Average speed = Total distance/(Total time)
The distance, ∑d, the athlete covered in the entire competition is given as follows;
∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km
The distance, ∑t, the athlete spends in the entire competition is given as follows;
∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;
Therefore;
The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.
Related Questions
30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily?
Answers
Answer:
Case1:
Men : 30
Work : 1
Time (day×hr): 56×6 = 336 hr.
Case2:
Men : let it be m men.
Work: 1
Time: 45×7 = 315 hr.
Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.
Product of men and time is constant in both cases.
Therefore, 30×336=m×315
Or, 30×336/315 = m
Or, m = 32.
Hence, required number of men is 32.
Step-by-step explanation:
30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?
Answers
Step-by-step explanation:
(30 men, 56 days, 6 hours daily)
=> (30 men, 48 days, 7 hours daily)
=> (45 men, 32 days, 7 hours daily)
Hence it will take 32 days.
The sum of two numbers is 23. The larger number y is 1 less than twice the smaller number x. Write and solve a system of linear equations to find the two numbers.
Answers
Answer:
15 and 8
Step-by-step explanation:
Abby spent 22 minutes working on her science project yesterday 34 minutes working on today. how many minutes did Abby spend working on her science project altogether
Answers
The number of minutes that Abby spend working on her science project altogether is 56 minutes.
How to calculate the value?From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.
Therefore, the time used altogether will be the addition of the time used for both occasions
= 22 minutes + 34 minutes
= 56 minutes
This illustrates addition.
Learn more about time on:
brainly.com/question/26046491
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Help me classify the triangles by its sides and measuring its angles :)
actually answer this
Answers
Answer:
1. isosceles
2. Right
Step-by-step explanation:
Here, we want to give the kind of triangle in each of the diagrams
1. From what we can see, we have two sides equal to each other using the given markings. More specifically, the base sides are equal and that makes the triangle an isosceles triangle
2. From what we can see here, we have an angle of 90 degrees on one of the sides of the triangle. In other words, we have a right angle on one of the sides.
This makes the triangle, a right triangle
Plz help with math plzlzlzlzl
Answers
what’s the quotent of -3/8 and -1/4
Answers
Answer:
1.5
Step-by-step explanation:
-3/8=-0.375
-1/4=-0.25
the negatives cancel each other out so it is 0.375/0.25
.25 goes into .375 1.5 times, so the answer is 1.5
Have a good day!
It needs to be 20 characters long so I’m just putting this so I can actually submit. The other guy already out the explanation so I’m proud of you and just tryna get points. Anyways the calculator is always available too if you need it
what is the bill for 10 day rental b = 45.95d + 38.5
Answers
Answer:
b = 498
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
b = 45.95d + 38.5
d = 10 days
Step 2: Evaluate
Substitute: b = 45.95(10) + 38.5Multiply: b = 459.5 + 38.5Add: b = 498Answer:
498 dollars
Step-by-step explanation:
So just plug in the 10 in the equation for D
45.95*10+38.5
Now just solve using order of operations
You would get 498
Factors of 49 that add to 14
Answers
Answer: (7, 7)
Explanation: To get to 49 and 14, you only have one option.
7+7=14
7*7=49
Find the slope of the graph
Answers
Answer:Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Step-by-step explanation:
ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.
Answers
Answer:
8.50f + 3.00h = 24
Step-by-step explanation:
Kayla won 37 super bouncy balls
playing hoops at her school's game night
Later, she gave two to each
of her friends. She only has 7
remaining. How many friends does she have?
Answers
Answer:
15 friends
Step-by-step explanation:
37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.
1. Which of the following is a solution to the
equation - 2/5x = 10?
a. X = -4
b. X = -25
c. X= 4
d. X = 25
Answers
The answer to X has to be negative. Since -2/5 is negative and we’re trying to get to 10, we need another negative to cancel out the negative into a positive. Multiply -2/5 by X (-25) so it’s -2/5 x -25/1. Negative times negative is positive. 2 x 25 is 50. 5 x 1 is 5. 50/5 is 10.
helpppppppppppppppppp
Answers
The 1st option is correct.
Answer:
m/15=-3
Step-by-step explanation:
When you see quotient it means to divide
is means equal
I hope this helps
what fraction is 3/4 equivalent to?
Answers
Answer:
6/8
Step-by-step explanation:
double both of them lol
Answer:
3/4 is equivalent to 6/8 and 12/16
Step-by-step explanation:
Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}
Answers
Hope this helps
Have a happy holidays
What is w²+2xy if x= - 3, w= - 2, and y=1?
Answers
(-2)^2+2(-3)(1)
then do your exponents:
-2 times -2 = 4
4+2(-3)(1)
multiply and add:
4+-6
answer:
-2
Answer:
-10
Step-by-step explanation:
w2 is -2x-2
2xy is getting times together -3x1
Write the equation, in slope-intercept form, of the line that passes through (-2,0) and is parallel to the line represented by 5x-3y=-17 .
Answers
Answer:
[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]
Step-by-step explanation:
Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule
[tex]m_1=m_2[/tex]
so we rewrite the equation in slope-intercept form:
[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]
and now we compare it with our slope-intercept form equation:
[tex]y=mx+b[/tex]
the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.
now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.
[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]
now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:
[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]
so this is our given line.
Raj polled 100 students in his class to compare the number of hours that boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?
Hours of Video Game Time per Week for Boys
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 9 to 17. A line divides the box at 14.5.
Hours of Video Game Time per Week for Girls
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 3 to 15. A line divides the box at 6.
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.
Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.
Answers
Answer:
c is the correct answer i took the test
Step-by-step explanation:
The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
How to find the interquartile range?For the males, the interquartile range will be:
= Third quartile - First quartile
= 17 - 9
= 8
For the females, the interquartile range will be:
= Third quartile - First quartile
= 15 - 3
= 12
Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Learn more about interquartile range on:
https://brainly.com/question/4102829
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If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?
A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd
Answers
Answer:
A
Step-by-step explanation:
because r is 1/2 of d so you would have 1 d instead of 2 r
Evaluate the expression yz when x= 3, y=6 and z=12.
Answers
Answer: 72
Step-by-step explanation:
y=6, z=12
yz=6 x 12=72
Classify the triangle. Check all that apply
Acute
Obtuse
Right
Scalene
Isoceles
Equilateral
Equiangular
None of the above
Answers
Answer:
The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.
Step-by-step explanation:
I hope this helps!
(-2,6) and (1,-1) whats the slope
Answers
Answer:
7/-3
Step-by-step explanation:
6--1=7
-2-1=-3
Answer:
The slope is m=-7/3
m=y²-y¹/x²-x¹
m=(-1)-6/1-(-2)
m=-7/3
Does Anyone Know This
Answers
Answer:
1 g-h
2 g^2-h
3 gh
4 g+h
5 h-g
6 g+h^2
Step-by-step explanation:
PLS ANSWER
Which number line represents the solutions to-2|x| =-6?
o
-8
8
Answers
ABCD is a rectangle. Find the mCED
Answers
Answer:8.5...
Step-by-step explanation:
7. 3, 19 25..
Find the formula for the nth term of the following sequence
Answers
Answer:
a+(n-1)d is the formula to calculate
Guys plz help plz on both plzzzzz
Answers
Answer:
The first one is 9/50 and the second one is 1/2
Step-by-step explanation:
you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)
please help me !!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
20
Step-by-step explanation:
15 is the mid so +5 is 20 thus 20 is the anser
NEED ASAPPPP
The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?
Answers
Answer:
(-3,4)
Step-by-step explanation:
to solve for x, make y=0
to solve for y, make x=0
Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)