please help me?!!
a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?
Answers
Answer:
The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
Step-by-step explanation:
Let u be the rate of the motorboat in still water (in kilometers per hour),
let v be the rate of the current.
Then the rate of the motorboat going downstream is u+v km/h,
while its rate going upstream is u-v km/h.
From the other side, the rate of the motorboat going downstream is 150/3=50km/h = 30 km/h.
Thus you have these two equations
u + v = 50 (1) (for the rate downstream), and
u - v = 30 (2) (for the rate upstream).
To solve the system, add equations (1) and (2). You will get
2u = 50 + 30 = 80; hence,
u = 80/2 = 40 km/h.
Then from the equation (1), v = 50 - u = 50 - 40 = 10 km/h.
ANSWER. The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
Related Questions
Please help, thank you! What is the difference between the probabilities of 4/4 and 100%?
(no choices)
Answers
Answer:
There is no difference
Step-by-step explanation:
because they are both equal to a 100% chance of that makes sense
hope that helps:)
What is the area of the figure below?
Answers
Answer:
3 x 3 = 9 + 3 x 3 = 9 which would be 18, then add 7 and 3 which would be 10 then multiply it by 5 which would be 50 then divided by 2 and you would get 25 add 25 two times which would be 50 once you do, you add the 18 which would be 68 in square.
Step-by-step explanation:
Mr. Martin and his son, Luke, decide to walk a 12
kilometer trail. Mr. Martin takes a 1-hour head start and
walks at a pace of 3 km/hr. Explain how fast Luke should
walk to reach the end of the trail in 3 hours, the same time
as Mr. Martin.
Answers
Answer:
4km/h
Step-by-step explanation:
we have the dad walking 3 km per hour but he had a headstart menaing he has 4 hours to do it, 3 times 4 is 12. now we have the son doing 12 kilometers in 3 hours so we divide 12 by 3 meaning he has to be going at a pace of 4 km per hour.
Answer:
It will take Mr. Martin 4 hours to walk the trail, and Luke should walk faster than Mr. Martin. Using the equation 12 = (3)(x), Luke should walk 4 km/hr to finish the trail in 3 hours.
Step-by-step explanation:
This is the sample on Edge.
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/afternoon/night!!!
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
First solve for x.
Answers
Answer:
2x + 7= 4x + 17
x=−5
Please help me find the value of x the answer must be exact
Answers
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:
[tex]leg=x\\hypotenuse=x\sqrt{2}[/tex]
Therefore, the value of x is 11.
You can double-check using the sine ratio:
[tex]sineX=\frac{opposite}{hypotenuse}[/tex]
Insert the values:
[tex]sin45=\frac{x}{11\sqrt{2} }[/tex]
Insert the equation into a calculator:
[tex]x=11[/tex]
:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
Pls help and show workings pls
It due ASAP
please
Answers
Answer:
C. ASA
Step-by-step explanation:
2 sides & 2 angles are equal as given.
Other 2 angles are equal on basis of vertical angles
What is the equation of the ellipse with major vertices at (-6, 0) and (6, 0) and minor vertices at (0, 3) and (0, -3)?
Answers
Answer:
b
Step-by-step explanation:
15 pointsss
The wholesale price of a dress at Macy's is $250 before they markup the product by 3/4. Sally, a customer, purchases the dress using a coupon giving her 1/5 off of the dress. How much does she pay after markup and discount is applied?
A. $200
B. $87.50
C. $250
D. $350
Answers
please help and show work if you can
Answers
Answer:
7. x = 5
8. x = 2, y = 6
9. x = 21, y = 39
Step-by-step explanation:
For a parallelogram, the lengths across intersection are equal.
7. For a parallelogram, the lengths across intersection are equal.
So that,
3x = 4x - 5
4x - 3x = 5
x = 5
8. For a parallelogram, the lengths across intersection are equal.
So that,
2x = 4
x = [tex]\frac{4}{2}[/tex]
x = 2
and
y - 1 = 2y -7
7 - 1 = 2y - y
y = 6
x = 2, y = 6
9. For a parallelogram, opposite angles have equal value.
Thus,
3x = (4x - 21)
3x = 4x - 21
x = 21
and
3y = (y + 78)
3y = y + 78
3y - y = 78
2y = 78
y = [tex]\frac{78}{2}[/tex]
= 39
y = 39
x = 21, y = 39
The marked price of a watch is Rs.2700. If the percentage of discount given on marked price is twice of the percentage of VAT and the value of the watch after adding VAT is Rs.2376.Find the rate of VAT
Answers
Answer:
24%
Step-by-step explanation:
Step one:
given data
The marked price of a watch is Rs.2700
The value of the watch after adding VAT is Rs.2376
let us find the discount
= 2700-2376
=324
then the percentage discount is
=324/2700*100
=0.12*100
=12%
The VAT is twice the discount, the VAT is 12*2= 24%
Paul cut a rectangular piece of paper. He then cut off a semi-circular piece from each end, as shown below. What is the area of the remaining paper? Use 3.14 for
Answers
Step-by-step explanation:
Area of remaining paper
= Area of rectangle - 2 * Area of semicircle
= Area of rectange - Area of circle
= (4in * 8in) - (π * 2in * 2in)
= 32in² - 4πin²
= 19.44in². (A)
PLEASE HELP!!!! will give brainliest!!!!
Answers
Answer: A Good luck :)
Jose has 3/5 kilograms of peppermints and 2/3 kilograms of of candy canes how much candy dose he have
Answers
Convert -2x+6y=-24 to slop intercept form
Answers
Answer:
y= 1/3x - 4
Step-by-step explanation:
hope this helps
Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!
Answers
Answer: (16/25)
Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.
UMS Grade 7 Math CUA- Unit 4 / 6 of 10
A garment is on sale for 35% off the regular price. If the regular price is $48.80, then what is the sale price?
O A $16.27
O B. $17.08
OC. $31.72
O D. $32.53
PLEASE HURRY IM DOING THE TESTTT NOWWWW
Answers
5j-5= 5
----
j5 true or false
Answers
If the area of a square table is 392 sq.ft. what is the length of each side?
Answers
Answer:
multiply 392 by 4 that should be your answer
Step-by-step explanation:
Suppose that 8 machines can complete a certain task in 9 days. if there are 18 machines, how many days would it take for them to finish the same task?
Answers
Answer:
It would require 4 days.
If there are 18 machines. Then the number of days would it take for them to finish the same task will be 4 days.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Time is inversely proportional to the number of the machines.
T ∝ 1/M
If the proportionality is removed, then a constant k is introduced.
Suppose that 8 machines can complete a certain task in 9 days.
Then the amount of the total work that is k will be
k = 8 x 9
k = 72
If there are 18 machines.
Then the number of days would it take for them to finish the same task will be
T = 72 / 18
T = 4 days
The number of days would it take for them to finish the same task will be 4 days.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
someone pls help me 10 points
Answers
I can do your homework for you
Answers
Answer:
thanks for the free points
Step-by-step explanation:
Answer:
can u answer these ones
Step-by-step explanation:
I need help please
4d + 8
Answers
Answer:
4 ( + 2 )
Step-by-step explanation:
Answer:
i am going to assume 4d+8=0 so 4d=-8 and d=-2
Step-by-step explanation:
1. What is the slope of a line that is perpendicular to the x-axis
Answers
Answer:
The slope of a line that is perpendicular to the x-axis is undefined.
Step-by-step explanation:
We know that the x-axis is a horizontal line.
We also know a line that is perpendicular to the x-axis is basically a vertical line.As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.Therefore, the slope of a line that is perpendicular to the x-axis is undefined.
For example, the slope between (1, 2) and (1, 4) is:
Using the slope formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [1 - 1]
= 2 / 0
= ∞
To factor a[tex]x^{2}[/tex]+bx+c, you have to group it as (a[tex]x^{2}[/tex]+ux)+(vx+c) so that uv=ac and u+v=b. Both addition and multiplication are commutative, so how do you determine which value is assigned to u and which to v? Or are they interchangeable?
Answers
For example, let's expand out (x+3)*(2x+1). Use of the FOIL rule should get to you 2x^2 + 7x + 3.
Now imaging that you handed 2x^2 + 7x + 3 to a friend to be factored. They do not know the factorization yet.
They would see that a = 2, b = 7, c = 3.
The friend needs to find two numbers u,v such that they multiply to a*c = 2*3 = 6 and add to b = 7
Through trial and error (I recommend making a table of values), your friend would get
u*v = 1*6 = 6u+v = 1+6 = 7But as you mentioned, your friend could easily swap the order of addition and multiplication to say
u*v = 6*1 = 6u+v = 6+1 = 7----------------------
If we go with the first option, then the factor by grouping looks like this
2x^2 + 7x + 3
2x^2 + 1x + 6x + 3 ... break up 7x into 1x+6x
(2x^2+1x) + (6x+3) .... group up the terms into pairs
x(2x+1) + 3(2x+1) .... factor each grouping
(x+3)(2x+1) ..... factor out the overall GCF
---------------------
Or we could have the factor by grouping looks like this
2x^2 + 7x + 3
2x^2 + 6x + 1x + 3 ... break up 7x as 6x+1x
(2x^2+6x) + (1x+3)
2x(x+3) + 1(x+3)
(2x+1)(x+3)
(x+3)(2x+1)
We end up with the same factorization.
The sales tax for an item was $36.90 and it cost $410 before tax. Find the sales tax rate. Write your answer as a percentage.
Answers
Answer:
36.90/410 = 0.09
0.09 X 100 = 9%
What is the distance between the points? Round to the nearest tenth if necessary
Answers
Answer:
5
Step-by-step explanation:
Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]
[tex]3^{2} + 4^{2} = c^{2}[/tex]
9+16=25
[tex]\sqrt{25}[/tex]=5
Please help me with these....or one and explain how to put into calculator please.....
Answers
Answer:
1. x= -20
2. x= 6.33
Step-by-step explanation:
Question 1:
10=7
x=x+6
(Cross multiply)
10(x+6)=7x
10x+60=7x
10x-7x=-60
3x=-60
x=-60/3= -20
Question 2:
6=4
8=x-1
(Cross multiply)
6(x-1)=4×8
6x-6=32
6x=32+6
6x=38
x= 6.33
hope it helps! please mark me brainliest
thank you! have a good day ahead
please help i’ll mark brainliest
A group of friends hires a bus for a day for
$480, agreeing to share the cost equally. At
the last minute, two more people decide to go
on the trip, and as a result each person pays
$8 less.
How many people go on the trip and how much
does each person pay?
Answers
Step-by-step explanation:
i think 52 people was there cause 8×60=480 and you said that in the last minute two more people decide to go so i added two more and 52 people was the result
67.50
Explanation:
First you add 8+8=16
Then 480+16=540
So you divide 540 ÷8=
So each of them pays 67.50$
Find x given Circle P.
PLEASE HELP !!!
Answers
Answer:
360 - 60 = 300
x = 300
Step-by-step explanation:
Tyesha has x feet of wood for a project. She has lengths of wood that are 7 1/2 feet, 5.25 feet, and 6 3/4 feet long. What is the total length of wood she has for this project?