A certain triathlon consists of a 3.1-mile swim, a 120-mile bicycle ride, and a 26.6-mile run. At one point, a participant had completed four times as many miles as the
number of miles left to complete. How many miles had he completed at that mark?

Answers

Answer 1

Answer:

26.6a

Step-by-step explanation:

possible derivation:

[tex]\frac{d}{da\\}[/tex] (a 26.6)

Factor out constants:

= 26.6 [ [tex]\frac{d}{da}[/tex] (a) ]

the derivative of a is 1 :

= 1  26.6


Related Questions

A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note

Answers

Answer:

$3762.50

Step-by-step explanation:

From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:

$3762.50

Why is 2/10 equivalent to 1/5?

Answers

Answer:

If you divide both top and bottom of [tex]\frac{2}{10}[/tex] by 2, you get [tex]\frac{1}{5}[/tex]

Answer:

because you have to find common denominators

2/10= 1/5

2/10= 1x2/5x2

Whatever you do to the bottom, you do to the top so that is why i also multiplied the numerator by 2.

2/10=2/10

Hope it helped!! Pls mark brainliest :)) Have a good day

Step-by-step explanation:

Zack and Noah jogged 2/5 of a mile and walked another 1/4 of a mile. How far did they go in all?

Answers

Find a common denominator. The lowest one would come from you multiplying 2/5 by 4 on each side and 1/4 by 5 on each side. You are left with 8/20 and 5/20, added together would be 13/20.

7)
Which of the following points would fall on the line produced by the point-slope form equation y - 6 = 7(x + 4) when graphed?


(2, 20)


(-3, 13)


(0, -34)


(-1, 28)

Answers

Answer:

b (-3,13)

Step-by-step explanation:

simplify the equation into slope intercept form (y=mx+b) and then graph it

HELP!!! NEED HELP! It is a very confusing lesson

Answers

2 bags have exactly 42 jellybeans.

Explanation: stem equals the first digit of the number, the stem equals the second digit of the number.
If you see that there is a 4 under the stem, and 2,2,3 under the leaf, that would mean that the numbers are 42, 42, 43

2.5% of what number is 14?

Answers

Answer: 560

Step-by-step explanation:     2.5 percent (calculated percentage %) of what number equals 14? Answer: 560.

The unknown number will be; 560.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent considered thing is of "a" is b%. Then the percent shows per 100 (since cent means 100).

a x b/100 = a x b%

WE need to find the 2.5% of unknown number is 14.

Let the unknown number be x

Then;

2.5% of x = 14.

Simplify;

2.5/100 × x = 14

0.0025 × x = 14

x = 14/0.0025

x = 560

Hence, the  unknown number will be; 560.

Learn more about percent here:

https://brainly.com/question/11549320

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The two trapezoids below are similar. What is the length of EF

Answers

The two trips episodes below are similar what is the length to EF2 +2 is 4-1 that’s three quick maths

Answer:

answer is 6

Step-by-step explanation:

i know answer is 2 weeks late

Y-21<85 help me pls
I don’t get this stuff lol

Answers

Answer:

it is y<106

Step-by-step explanation:

remember to add 85 and 21 together :)

5. Mai attempted 40 free throws and was successful 25% of them. How many free throws did
she make?

Answers

Answer:

10 were successful

Step-by-step explanation:

40x25%=10

Answer:

10

Step-by-step explanation:

40*.25 = 10

Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12

A. Step 1
B. Step 2
C. Step 3
D. Step 4

Answers

I think it’s step 2 or 3 I’m not sur

Answer:The answer is B, step two

Step-by-step explanation:5x-6x equals to -1x

What is the value of the 5 in 564,242?

Answers

500,000 is the answer for this

Answer:

500,000

Step-by-step explanation:

the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.

have a wonderful  day

Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is:

Answers

Answer:

y + 1 = 8 (x + 7)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

So replace the y1 with the y point, and the x1 with the x point

y - (-1) = m (x - (-7) )

then replace the m with the slope

y - (-1) = 8 (x - (-7) )

now solve

y + 1 = 8 (x + 7)

Solve g(x) = 22 + 12x – 5. Submit the sum of your solutions

Answers

Answer:

-17/11

Step-by-step explanation:


What is the area, in square yards, of
the rectangle shown below?
12 yd
15 yd

F 225 square yards

G 54 square yards
H 180 square yards
J27 square yards

Answers

Answer:

area of rectangle=length ×breadth

area of rectangle=12yd×15yd

area of rectangle=180yd²

How would I prove KM = HM?
Given that GJ is the perp bisector of HK

Answers

Answer: See step by step

Step-by-step explanation:

Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J  is the midpoint we can construct a congruence statement of  KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.

This 3rd and 2nd grade lvl paper

Answers

Answer:

This is the

Step-by-step explanation:

This is te changes of the eart

Across

2: Transpiration

3: Atmosphere

5: Potential

6: Precipitation

7: Condensation

Down

1: Evaporation

4: Condensation

Given: 33 + 6p = 2(p-1) - 3p
Prove: p = -5

Answers

Answer:

Let us prove that p=-5

33+ 6p= 2p-2-3p33+6p= -1p-2 33+7p=-2 7p=-35 p=-5

33 + 6 x -5 = 2(-5 - 1) - 3 x -5

3 = 3

Consider the sample space given below.

A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.


S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}

Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.

Answers

Answer:

1 / 6

Step-by-step explanation:

Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.

The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.

The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.

n(S) = 36

Let E be an event that the numbers showing face up are the same.

E = {11, 22, 33, 44, 55, 66}, n(E) = 6

The probability of E = P(E) = number event / number of possible outcomes =

P(E) = n(E) / n(S) = 6 / 36 = 1 / 6

If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65

Answers

Answer:

D. 0.65

Step-by-step explanation:

Do 52/80 to get the answer which is D.

A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get

Answers

Answer:

The best possible final average this student can get is 94.

Step-by-step explanation:

The average score is given by the sum of the scores of all tests divided by the number of tests.

In this question:

First three tests: Mean score of 92, so total score of 92*3 = 276

Best possible score, with 4 tests:

In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:

[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]

The best possible final average this student can get is 94.

A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)

Answers

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5 percent of these are defective.

This means that [tex]p = 0.05[/tex]

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]

0.0025 = 0.25% probability that both are defective

The line shown the line of best fit. The slope should and the y-intercept should​

Answers

the line shown ISN'T the line of best fit. The slope should INCREASE and the y-intercept should REGRESS.

The line shown is not the line of best fit. The slope should increase and the y-intercept should regress.

We have given the graph of the regression line.

What is the graph of the regression line?

Regression lines can be used as a way of visually depicting the relationship between the independent (x) and dependent (y) variables in the graph.

A straight line depicts a linear trend in the data

Therefore, from the graph, we can conclude that,

The line shown is not the line of best fit.

The slope should increase and the y-intercept should regress.

To learn more about the regression line visit:

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Divide. Reduce the answer to lowest terms. 2/7 • 15/7

Answers

30/49
the fraction cant be reduced so the final answer is just 30/49

There are 600 members of a sports club.
The ratio of men to women is 2:3
1/4 of the men are under 30 years old
20% of the women are under 30 years old
HOW MANY MEMBERS ARE OVER 30?

Answers

9514 1404 393

Answer:

  468

Step-by-step explanation:

Men:

  (3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30

Women:

  (4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30

The total number of members over 30 is ...

  180 +288 = 468 . . . members over 30

Match each sum or difference with the correct simplified expression.

(x - 5) - (x - 1)

2x - 4

(x - 5) + (x + 1)

2x - 6

(x - 5) - (x + 1)

4.

(x - 5) + (x - 1)

-6

Answers

Answer:

[tex](x-5)-(x-1)=-4[/tex]

[tex]=2x-4[/tex]

[tex](x-5)+(x+1)=-6[/tex]

[tex](x-5)+(x-1)=2x-6[/tex]

Step-by-step explanation:

In each of the expressions we first need to open the brackets and change the sign according to the sign preceding the bracket. After that we perform simple arithmetic to find the result.

[tex](x-5)-(x-1)=x-5-x+1[/tex]

[tex]=-4[/tex]

[tex](x-5)+(x+1)=x-5+x+1[/tex]

[tex]=2x-4[/tex]

[tex](x-5)-(x+1)=x-5-x-1[/tex]

[tex]=-6[/tex]

[tex](x-5)+(x-1)=x-5+x-1[/tex]

[tex]=2x-6[/tex]

The answers are

[tex](x-5)-(x-1)=-4[/tex]

[tex](x-5)+(x+1)=2x-4[/tex]

[tex](x-5)+(x+1)=-6[/tex]

[tex](x-5)+(x-1)=2x-6[/tex]

Answer:

Step-by-step explanation:

I got it right on edge 2022!

The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples is a bushel of large apoles, how many small apples are in 1 lb of apples?​

Answers

Answer:    4 apples in 1 lb

Step-by-step explanation:

Since there are twice as many apples as large apples, you would multiply

2 x 84 = 168

To find the apples per pound we want to divide the total number of apples, which is 168 by the weight of the bushel which is 42 lbs.

168/42=4

Therefore, there is 4 apples in 1 lb.

Hope this helped!, come back if i am wrong! :) ( I can redo the problem if it is)

Have a nice day! :)

What is equivalent to 2/3?

Answers

Answer:

2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number.

What are the angles sizes

Answers

Answers:
(x+2) = 55 degrees

x = 53 degrees

the given is 72 degrees


Explanation:
A triangle always equals 180 degrees. It was given that one of the angle measures is 72 degrees. 180-72=108. Now I need to find the value of x. (x+2)+x=108. Solving this equation I get x=53. Substitute this back into the angle measures and u get the answers as stated above.

(x2 - 3)(x2 + 12) = 0

Answers

Answer:

x=1.7320508075688772 or x=−1.7320508075688772

Step-by-step explanation:

(x2−3)(x2+12)=0

x4+9x2−36=0

(x2−3)(x2+12)=0

x2−3=0 or x2+12=0

x=1.7320508075688772 or x=−1.7320508075688772

Given f(x)= 5x®, what is the domain? O 5

Answers

25 is the answer I think

Answer:

all real numbers (D)

the range is y>= 0 (option B)

Step-by-step explanation:

the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0

hope this helps and you have a very nice day !! :)

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