Answer:
Distance between Henry and his uncle is 74.25km.
Step-by-step explanation:
Speed of Hawk with wind = 50+5
=55km/hr
Speed of Hawk against wind = 50-5
=45km/hr
we know that ,
[tex]Distance = speed \times time[/tex]
Let the distance between Henry and uncle is d,
According to the question ,
[tex]\frac{d}{55} + \frac{d}{45} = 3[/tex]
[tex]\frac{9d + 11d}{495} =3[/tex]
[tex]20d = 3\times 495[/tex]
[tex]d =\frac{3\times495}{20}[/tex]
d= 74.25km
Hence , the answer is 74.25km
The relation between speed, time, and distance is used. Then the distance between Henry's uncle from Henry is 74.25 miles.
What is speed?The distance covered in an hour is called speed. it is a scalar quantity.
What is relative speed?The concept of relative speed is used when two or more bodies moving with some speed are considered.
Henry sends his hawk with a message to his uncle.
The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip.
We know the relation
[tex]\rm speed = \dfrac{distance }{time}[/tex]
Let the distance between Henry's uncle from Henry be x.
The time of the trip is during the traveling remains constant. That is
[tex]\rm T = T_1 + T_2\\\\T = \dfrac{x}{v_1} + \dfrac{x}{v_2}[/tex]
The speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather. Then we have
[tex]\rm v_1 = 50 - 5 = 45\\\\v_2 = 50 + 5 = 55[/tex]
Then
[tex]\begin{aligned} \rm \dfrac{x}{45} + \dfrac{x}{55} &= 3\\\\\rm \dfrac{9x + 11x }{495} &= 3\\\\\rm 9x + 11x &= 1485\\\\\rm 20x &= 1485\\\\\rm x &= 74.25 \end{aligned}[/tex]
Thus, the distance between Henry's uncle from Henry is 74.25 miles.
More about the speed link is given below.
https://brainly.com/question/862972
The Sharks Aquatic Club recently held a fundraiser to raise money for a local charity. The swimmers received money for each lap that they swam during a one-week period. The three swimmers who raised the most money were Rita, John, and Rodell. Together they swam a total of 2125 laps. John swam three times as many laps as Rita, and Rodell swam 25 more laps than John. How many laps did each swimmer swim?
The number of laps covered by Rita, John, and Rodell will be 300, 900, and 925, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The three swimmers who collected the most cash were Rita (A), John (B), and Rodell (C). Together they swam a sum of 2125 laps. John swam threefold the number of laps as Rita, and Rodell swam 25 additional laps than John.
Then the equations are given as,
A + B + C = 2125 ...1
B = 3A ...2
C = 25 + B ...3
From equations 1, 2, and 3, then we have
B/3 + B + 25 + B = 2125
B/3 + B + B = 2100
(7/3)B = 2100
B = 2100 x 3 / 7
B = 900 laps
Then the value of A will be given as,
A = 900 / 3
A = 300
Then the value of C will be given as,
C = 900 + 25
C = 925
The number of laps covered by Rita, John, and Rodell will be 300, 900, and 925, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Is 3pi/4pi a rational number?
Answer:No
Step-by-step explanation:
Pi is irrational
The lines of the equations are parallel, perpendicular, or neither.
y=-x +3
y=-x-3
O parallel
O perpendicular
O neither
Answer:
Parallel
Step-by-step explanation:
The have equal slopes
This equation has one solution.
5(x - 1) + 3x = 7(x + 1)
What is the solution?
Answer:
x= 12
Step-by-step explanation:
I got it right on edge
Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a fraction.
Answer:
Multiply the first fraction by [tex]\frac{x+4}{x+4}[/tex]
Multiply the second fraction by [tex]\frac{x-4}{x-4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}[/tex]
Required
Make the denominator equal
[tex]\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}[/tex]
Factorize the denominator
[tex]\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}[/tex]
[tex]\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}[/tex]
Multiply the first fraction by [tex]\frac{x+4}{x+4}[/tex]
Multiply the second fraction by [tex]\frac{x-4}{x-4}[/tex]
[tex]\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}[/tex]
[tex]\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}[/tex]
[tex]\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}[/tex]
The expression now have the same denominator
need a lil help.. EDGE2020
Answer:
2nd option
Step-by-step explanation:
2 parts ginger ale to 3 parts raspberry juice
A train travels 100 miles per minute. One mile is about 1.61 kilometers and 1 hour is 60 minutes.
Convert train's speed in kilometers per hour?
Answer:
9660 kn per hour
Step-by-step explanation:
A construction company requires 25,400 bricks
for a job. If it allows 2% more bricks for breakage, how
many bricks must it order?
Luke had $9. He had to spend 3/4 of it for a birthday gift. How much cash money did
he spend?
Answer:
He spent $2.25.
Step-by-step explanation:
Multiply $9 by 3/4 and we get $6.75.
Now subtract $6.75 from $9.
We get $2.25
HELP I NEED TO TURN THIS IN
Answer:
4 Adults and 3 Kids
If f(x) = 1/9x-2, what is f^-1(x)?
Answer:
1/-9x-2
Step-by-step explanation:
Answer:
Can you tell me in what form
There are 27 campers this is nine times as many as the number of counselors how many counselors are there
Answer:
3
Step-by-step explanation:9x3
Answer:
3
Step-by-step explanation:
It’s 3 because its 27 which is 9 times the amount so it would be 9x3 which is 27
a line passes through the point (0,-4) and has a slope of 3/2. what is equation of the line?
Answer:
[tex]y=\frac{3}{2}x-4[/tex]
Step-by-step explanation:
Use the equation of a line: y=mx+b.
First, plug in all of the values that you know. In this case, we are given x, y, and m (the slope).
[tex]y=mx+b\\-4=(\frac{3}{2})(0)+b\\-4=b[/tex]
Now that we have the b value, we can create the equation:
[tex]y=\frac{3}{2}x-4[/tex]
if a man walks 16 km in 5 hours, how long would he take to walk 11.2km
Answer:
Time taken to walk 16 km =5hrs
Time taken to walk 1km =5/16 hr
Time taken to walk 11.2km =(5/16)×(112/10) = 3.5hrs
HOPE IT WILL HELP U..
PLZ MARK IT AS BRAINLIEST ANSWER..
Is this correct or no(Direct answer please
Make statement true 0.06 is 10 times
0.06 is 10 times 0.006; 0.06 = 10 * 0.006
You can find this by solving 0.06/10 = 0.006
Select three ratios that are equivalent to 11:1 A: 1: 11 B 22:2 C 55:5 D 9:99 E 110: 10
Answer:
B 22;2 c 55:5 E 110:10
Step-by-step explanation:
multiplying is key
Answer:
B,C,E
Step-by-step explanation:
divide each of them and if the result is equal to 11 so it is equivalent to 11:1
does anybody understand triangle angle theorems??
Answer:
It means that states that the three interior angles of any triangle add up to 180 degrees.
Have A Nice DAY!!!!!!
:-)
How are you doing today, if no answer thats fine to.
Answer:
I am doing great!
Step-by-step explanation:
Answer:
hello im doing good
Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answer:
a) A = (5, 1), b) A = (1,11)
Step-by-step explanation:
given A is (2,3), question a is represented by a shift of this point 3 units to the right, and 2 units down which means (x,y) → (x +3, y - 2) or T(3,-2)(x,y). (2,3) → (x + 3, y - 2) = (2 + 3, 3 - 2) = (5, 1).
Question b represents a shift of this point one unit to left, and 8 units up which is represented by (x,y) → (x -1 , y + 8) or T(-1,8)(x,y).
(2,3) → (x - 1, y + 8) = (2 - 1 , 3 + 8) = (1, 11).
2/3+1/4. Show me work
Answer:
11/12
Step-by-step explanation:
2/3 to 8/12
1/4 to 3/12
8/12+3/12=11/12
Answer:
11/12
Step-by-step explanation:
hi! let's start off by finding the LCM to find a common denominator for these fractions. the LCM of 3 and 4 is 12. so, we can look at what we need to multiply each denominator by to get 12.
3*4 is 12 and 4*3 is 12, so we have to multiply the first fraction by 4/4 (which is equivalent to 1) and we have to multiply the second fraction by 3/3.
this becomes 8/12 and 3/12, which are equivalent to their original forms.
now, we can add these by adding the numerators and keeping the denominators the same.
(8+3)/12
11/12
theres your answer!
what is the opposite of the integer 62?
Answer: -62
Step-by-step explanation:
Answer:
-62 is the correct answer
can someone help please?!!! im in a hurry :(
I'm pretty sure it would be 2 and 90, let me know if I'm wrong.
Answer:
2, 90
Step-by-step explanation:
Divide 54 by 3 to get how many licks are needed for ONE lollipop. Once you figure how many licks are needed for ONE, you can figure out how many it takes for any amount of lollipops.
54 licks / 3 lollipops = 18 licks / 1 lollipop
Divide 36 by 18 and multiply the quotient by 18 to find the number of lollipops 36 licks takes.
36 licks / 18 licks = 2 lollipops (this is your first answer)
Now multiply 18 by 5 like so: 18 * 5 = 90 (this is your second answer)
How many times greater was the temperature in Miami (45) than the lowest in San Diego (25)
Answer:
The temperature in Miami is 9/5 times the temperature in San Diego.
Step-by-step explanation:
Ratios
To compare the temperature in Miami (45) with the temperature in San Diego (25), we use the division or ratio between both numbers:
[tex]\displaystyle \frac{45}{25}[/tex]
Simplify the fraction dividing by 5:
[tex]\displaystyle \frac{9}{5}[/tex]
Since the relation between them is 9/5, it means the temperature in Miami is 9/5 times the temperature in San Diego.
Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?
Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2
A graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.
Answer:
Gloria's time was 2.5 minutes faster
Step-by-step explanation:
URGENT!!!! PLS HELP
Use the figure to find the measure of angle 5
what did the ancestral puebloans do to make the growing need for housing
Answer: How did the Ancestral Puebloans adapt their housing to the building materials that were available in the arid Southwest? They built some houses of stone blocks against canyon walls and built freestanding villages of stone and adobe brick.
Step-by-step explanation:
What is the fraction
12
30
in simplest form?
O
15
3
10
Answer:
2/5
Step-by-step explanation:
Statements with nested quantifiers: English to logic, part 4. About A student club holds an election for officers. Before the voting, members can nominate each other. It is also possible for a member to nominate himself or herself. Some of the members are new members. Some of the members are currently officers. The domain is the set of members of the club. One of the members of the club is named Sam. Define the following predicates. N(x, y): person x nominated person y for a position. W(x): person x is a new member. O(x): person x is currently an officer. Give a quantified expression that is logically equivalent to each of the following statements.
(a) All the new members nominated all the officers.
(b) One of the current officers did not nominate anyone.
(c) Everyone nominated someone.
(d) Someone nominated everyone.
(e) Everyone nominated someone other than themselves.
(f) Exactly one person nominated Sam.
Answer:
someone please answer this equation
Step-by-step explanation:
i have this on my test and i really need help with it
A school janitor has mopped 1/3 of the classroom in five minutes at what rate is he mopping
Answer:
1/15 per min
Step-by-step explanation:
3 times 5 equals 15
Put the 15 on the bottom of the fraction and then put the 1 on top of the fraction, there you go.