So the other guy has the right work but at the end he messed up. The real answer is 10 miles.
By establishing the relationship between Ted's uphill and downhill travel times, we can set up an equation to solve for the one-way distance D of the hike. We find that the one-way distance D is 5 miles, making the total length of the hike 10 miles.
Explanation:On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, he runs at a rate of 5 miles an hour. If it takes him 40 minutes longer to climb up than run-down, we need to figure out the total length of Ted's hike.
First, let's establish the relationship between the times it takes Ted to hike up and run down the hill. If T is the time it takes to run down, then the time to hike up is T + 40/60 hours (since 40 minutes is two-thirds of an hour).
Let D be the distance of the hike one way. As Ted climbs up at a rate of 3 miles per hour, the uphill time is D/3. Running down at a rate of 5 miles per hour, the downhill time is D/5. We can set up the following equation:
D/3 = D/5 + 40/60
Multiplying through by 15 to eliminate fractions, we get:
5D = 3D + 10
This simplifies to:
2D = 10
Dividing by 2:
D = 5 miles
Since the total hike involves going up and then down the same distance, the total length of the hike is:
Total Length = 5 miles + 5 miles = 10 miles.
A equation whose solutions form a straight line on a coordinate plane is a what
Simplify 8 - (-5) - 4(-7).
-63
-15
41
68
The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes?
74.3%
55.2%
44.8%
37.2%
Actually variation is simply equivalent to the square of the correlation coefficient r. So we can say that:
variation = r^2
So given an r value of 0.743, so the variation is:
variation = 0.743^2
variation = 0.552
Answer:
55.2%
The lengths of the sides of a triangle are represented by 3 consecutive even integers. if the perimeter of the triangle is 72 feet, find the lengths of its sides
How many ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row?
1814400 ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row.
What is Permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangement.
[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
n=Total number of objects
r=Selected number of objects
Given,
There are ten number of seats
n=10
We have to arrange 8 students so r=8.
We need to arrange eight students in ten seats in a row.
So n=10, r=8
[tex]10P_{8} =\frac{10!}{(10-8)!}[/tex]
10P₈=10!/2!
=10×9×8×7×6×5×4×3×2/2
=10×9×8×7×6×5×4×3
=1814400
Hence in 1814400 ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row.
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3/8(z+11)=y solve for z in the literal equation
geometry proof
help please
solving for a variable in terms of other variables using addition or subtraction with division calculator
1) AB¯≅AD¯ Given
2)∠ACD is a right angle.- Given
3) m∠ACD=90° -Definition of right angle
4) m∠ACB=90° -Given
5) m∠ACB=m∠ACD -Transitive Property of Equality
6) ∠ACB≅∠ACD Definition of congruent angles
7) C is the midpoint of BD¯ Given
8)C bisects BD¯ ?
9) BC¯≅CD¯ Definition of bisect
10) AC¯≅AC¯ Reflexive Property of Congruence
11) △ABC≅△ADC -SAS Congruence Postulate
What is the correct reason for Statement 8?
Given
Definition of bisect
Definition of congruent segments
Definition of midpoint
Answer:
By definition of midpoint.
Step-by-step explanation:
proof:
1.Statement: [tex]\overline{AB}\cong \overline{AD}[/tex].
Reason: Given.
2.Statement: [tex]\angleACD[/tex] is a right angle.
Reason:Given.
3.Statement:[tex]m\angle ACD=90^{\circ}[/tex].
Reason: By definition of right angle.
4.Statement: [tex]m\angle ACB=90^{\circ}[/tex].
Reason: Given.
5.Statement: [tex]m\angle ACB=m\angle ACD[/tex]
Reason: Transitive property of equality.
6. Statement:[tex] m\angle ACB\cong m\angle ACD[/tex].
Reason: By definition of congruent triangles.
7.C is the midpoint of [tex]\overline {BD}[/tex].
Reason: Given.
8.Statement: C bisect [tex]\overline{BD}[/tex]
Reason: By definition of midpoint.
9.Statement:[tex]\overline{BC}\cong \overline{CD}[/tex]
Reason: By definition of bisect.
10.Statement:[tex]\overline{AC}\cong\overline{AC}[/tex]
Reason: By reflexive property of congruence.
11.Statement:[tex]\triangle ABC\cong \triangle ADC[/tex].
Reason: SAS congruence postulate.
What is the next number in the sequence? 3, 6, 12, , ... place an x by the pattern of the sequence. add 2 subtract 2 times 2?
Two sisters, Allie and Bonnie are saving money for a trip to Europe. Allie has $1500 and adds $500 each month to this amount. Bonnie has $2300 and adds $400 each month to this amount. How many months must Allie save to exceed the amount of money that Bonnie has saved
If 75 cans cost 56.25 dollars how much would it be for 3 cans
56.25 / 75 = 0.75 for each can
0.75 *3 = $2.25 for 3 cans
Under GAAP-based costing, what assumption justifies allocating organization-level manufacturing overhead among products?
If the boolean expression a is true and b is false, the value of the logical expression a and b is ________.
25% of what number is 9
can you explain how you got your answer and show your answer too.
Thank You
What is the LCD of 1/3 and 3/7
Jessie's bus ride to school is 5 minutes more then 2/3 the time roberts bus ride. if jessie's time riding the bus is y and robert's time riding the bus is x write an equation to represent the situation
Jessie's total bus ride time, represented by y, is 5 minutes longer than [tex]\frac{2}{3}[/tex] of Robert's bus ride time, which is represented by x, leading to the equation y = ([tex]\frac{2}{3}[/tex])x + 5.
Jessie's bus ride to school is 5 minutes longer than [tex]\frac{2}{3}[/tex] the time of Robert's bus ride. Given that Jessie's time riding the bus is represented by y, and Robert's time riding the bus is represented by x, the equation to represent this situation is:
y = ([tex]\frac{2}{3}[/tex])x + 5.
This equation indicates that if you take [tex]\frac{2}{3}[/tex] of Robert's ride time (x) and then add 5 minutes, you'll get Jessie's bus ride time (y).
Jan can type 61.3 words per minute. How many words can she type during a 15-minute test
Answer:
919.5
Step-by-step explanation:
How many integers less than 1000 have no factors (other than 1) in common with 1000?
Scientists estimate that sea level has risen about _____ over the past 100 years.
A. 10 to 25 meters
B. 0 to 1 centimeters
C. 10 to 25 centimeters
D. 100 to 250 centimeters
Answer: The answer is (C) 10 to 25 centimetres.
Step-by-step explanation: We are to select the correct range by which the sea level has risen about over the last 100 years.
Scientists estimates that because of warming of the ocean and increased melting of land-based ice such as glaciers and ice sheets, the level of sea has risen from 10 to 25 centimetres over the last 100 years.
Thus, (C) is the correct option.
If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function?
A. g(x) = (x – 12)2
B. g(x) = (x + 12)2
C. g(x) = x2 – 12
D. g(x) = x2 + 12
What is the area of the figure?
Assume that all angles are right angles.
A. 980 square inches
B. 1000 square inches
C. 1200 square inches
D. 1100 square inches
Round 28,573 to the nearest thousand
Evaluate the given expression if k=-84
5 |k+10| - |4k|
What is a cubic polynomial function in standard form with zeroes 1, –2, and 2?
Yesterday raina had c baseball cards .today she got 24 more . Using c , write an expression for the total number of baseball cards she has now .
Under which condition does a country with a small GDP have a large per capita income?
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.40. How many nickels and how many dimes are in the jar?
what is 4kx+10kx=7 solve for x
Final answer:
To solve the equation 4kx+10kx=7 for x, combine like terms to get 14kx = 7, then isolate x by dividing both sides by 14k, resulting in x = 1 / (2k).
Explanation:
The question asks: what is 4kx+10kx=7 solve for x. To solve this equation for x, we first need to combine like terms. We combine 4kx and 10kx to get 14kx. The equation then becomes 14kx = 7. To isolate x, we divide both sides of the equation by 14k. This gives us x = 7 / (14k). It simplifies further to x = 1 / (2k). Therefore, the solution to the equation is x = 1 / (2k).
If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 69 square meters. find the area of the original square.