A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.


Hii! If someone can like show how they got this I would really appreciate it! Thank you so much. I kinda need it quick

Answers

Answer 1

Answer:

24 km/h

Step-by-step explanation:

The speed of the boat  in the lake = xThe speed of the current = 3 km/h

Required equation:

54 / (x + 3) + 42 / (x - 3) = 96/x9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)9x² - 27x + 7x² + 21x = 16x² - 1446x = 144x = 144/6x = 24 km/h


Related Questions

Factor completely. 5x^2-20x+20=5x 2 −20x+20

Answers

Step-by-step explanation:

5x^2 - 20x + 20 = 5x^2 - 20x + 20

5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)

(5 + 5) (x^2 - 4x + 4)

!!!!!URGENT!!!!FIND THE SLOPE
A. 3
B. - 3
X
O
12
14
6
D.

Answers

Answer:

3-2/6-3 =1/3

So the answer is 1/3'c'


BRAINLIEST BRAINLIEST BRAINLIEST PLEASE ANDSER IT IS TIMED THANK YOU SO MUCCH

Answers

Answer:

x=-b/2a

Step-by-step explanation:

hope that helps :)

mark as brainliest please :)

Answer:

The axis of symmetry is x

Give brailiest, i gave you correct answer

If the three lengths form a triangle, then determine if the three lengths form an acute, right, or obtuse triangle. Show your work. ​

Answers

Answer: Acute Triangle.

Step-by-step explanation:

3 square root 15 + 16 + 11 = 38.6189500386 degrees ughhhh why does this exist.

An acute triangle is less than 90 degrees so this an acute triangle.

Evaluate 7^35 7^-21 7^-8

Answers

Answer:

117,649

Step-by-step explanation:

7^35 x 7^-29

= 7^6

=117,649

The perimeter of a rectangle is 13 cm and its width is 2 ¾ cm. Find its length in cm.​

Answers

Answer:

length = 3 3/4

Step-by-step explanation:

13 = 2(2 3/4) + 2l

13 = 2(11/4) + 2l

13 = 22/4 + 2l

52/4 - 22/4 = 2l

30/4 = 2l

30/4 ÷ 2 = l

30/4 x 1/2 = l

30/8 = l

length = 15/4 or 3 3/4

Plz help i have been asking this question too much

Answers

Answer:

6

Step-by-step explanation:

1/6 of 36 is 6

2/3 of 36 is 24

6+24=30

36-30=6

<3

Answer:

if u search your question on brainly you'll see alot of answers! here is one of them!!!

1. $350 at 5% for 4 years

Answers

Answer:

425.43

Step-by-step explanation:

A = P(1+r)^n

A = 350(1.05)^4

A bag with 8 marbles has 2 blue marbles and 6 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.

Answers

Answer:

there are no red marbles. so 0/8 is the probability

Which fraction is the same as 4/8

Answers

Answer:

1/2 I believe is you answer darling

An owl ate 3 mice. Prior to being eaten, the 3 mice together consumed a small block of cheese. The cheese contained 60 kJ of energy. How many kilojoules of energy from the block of cheese did the owl obtain after consuming the 3 mice?

Answers

The answer is 0.6 kj of energy

the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​

Answers

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm west. Which equation could be used to determine how many miles Mary drives to work?

Answers

Mary drives 7 miles!2cm / 4mi = 1cm / 2mi1(2) + 2.5(2) = 7Please let me know if I am wrong.

LT1 10th grade level

Answers

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex]

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides [tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex]

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = 50 ft. /(100 ft.) =  [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex] = [tex]\overline{EF}[/tex]/120 ft.

[tex]\overline{EF}[/tex] = 120 ft. × 50 ft./(100 ft.) = 60 ft.

[tex]\overline{EF}[/tex] = 60 ft.

The distance between the pirate and the treasure, [tex]\overline{EF}[/tex] = 60 ft.

WHATS TYE ANSWER TO ALL OF THESE! I NEED TO KNOW ASAP! PLEASE!​

Answers

Answer:

[tex]x+3>27\\ x-8>12\\ 7x\leq 14\\ x+15\geq 4[/tex]

help I don’t know how I’m supposed to do this

Answers

Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this I think you should know what SOH-CAH-TOA is, if not here.

O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.

Equation time:

, we see that the x is on top so we just multiply....

[tex]cos36(10)[/tex]= 8.090

I hope this helps!

Which expression represents the phrase below?
8 less than the product of 6 and a number, x

8 - 6x B. 6x - 8

C. (6 + x) D. 8 - (6 + x)

Answers

Answer:

6x - 8 multiply 6 and x then subtract 8

math help pls answer

Answers

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

What is the area of this rectangle

Answers

Answer:

30 sq units

3 + 2 = 5

5 x 6 = 30

which histogram correctly display the information to the left?

Answers

Answer:

option 3 so the second to last

Answer:

b

Step-by-step explanation:

648/180 reduced? In fractions

Answers

Answer: 18/5

Step-by-step explanation:  hope this helps pls mark me brainliest

Find the value of x and y that will make each quadrilateral a parallelogram.​

Answers

Answer:

6

Step-by-step explanation:

Answer:

x = 15, y = 7

Step-by-step explanation:

opposite angles are congruent in a parallelogram:

=> 3x + 4 = 7y

=> 3x - 7y = -4

the same-side interior angles of a parallelogram are supplementary angles, which means they sum to 180°:

=> 8x + 11 + 7y = 180

=> 8x + 7y = 169

add the two equation 3x - 7y = -4 and 8x + 7y = 169 to eliminate y and solve for x:

=>  3x - 7y = -4

    8x + 7y = 169

+) ___________

    11x         = 165  => x = 15

plug  x = 15 into one of the two equation to solve for y:

=> 3(15) - 7y = -4

=> 45 - 7y = -4

=> 7y = 49

=> y = 7

PLS, I NEED HELP ASAP!!​

Answers

Answer:

3x+18

Step-by-step explanation:

3 times x

3 times 6

3x

18

3x+18

plz help and yes im lazy.

Answers

Answer:

38

Step-by-step explanation:

A=11

T=2

U=16

AxU (11x2)=22

22+16

38

38 is the final answer

Answer:

I think it would be 38

Step-by-step explanation:

v=16+11(2)

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

it's a parallelogram.

Step-by-step explanation:

reason Since the vertically opposite angles are equal definitely the sides must be parallel to each other there by making it a parallelogram

I need help on this math problem

Answers

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

Factor completely x2 + 25. (1 point)
O (x + 5)(x + 5)
O (x + 5)(x - 5)
O (x - 5)(x - 5)
O Prime

Answers

Prime x² + 25 is prime (unfactorable).
Here's what the other options come out to:
(x + 5)(x + 5) = x² + 10x + 25
(x + 5)(x − 5) = x² − 25
(x − 5)(x − 5) = x² − 10x + 25


Given that x = 7.4 m and θ = 31°, work out BC rounded to 3 SF
I NEED THIS ANSWER NOW​

Answers

Answer:

59.0

Step-by-step explanation:

c=31

b=90

90+31=121

180-121=59

56 rounded to the nearest 3 sf=59.0

please mark as brainliest if correct

thank you

Answer:

12.333 m

Step-by-step explanation:

The ratio x/BC is the tangent of angle theta:

 7.4

-------- = tan theta = 0.6

 BC

                                                                         7.4

Interchanging 0.6 and BC, we get    BC =  ------------ = 12.333 m

                                                                          0.6

A school’s auditorium can hold a maximum of 450 people. The school is holding a talent show
where 35 students will perform. The school pre-sold 345 tickets to the show and will now allow
the performers to use the remaining tickets for their friends and family. If each student
performing in the talent show can invite the same number of guests, select all of the following
that represents the possible number of guests that arrive for each performer.

Answers

Answer:

Each can invite 2 guest

Step-by-step explanation:

345+ 35= 380

450-380 = 70

70/35=2

Answer:

Each performer can get 2 guests.

Step-by-step explanation:

There are 35 performers and 345 pre-sold tickets, so we just need to subract them from the amount of people that the stadium can hold. 450 - 35 - 345 = 70 people left

Since there is space for 70 more people, each performer can get (70/35) = 2 guests

Round to the nearest tenth
1. Find x.

Answers

Answer:

x= 25.5 not rounded x=25.51393657

Step-by-step explanation:

Decide what trig ration you need/want to use. The 27 degrees are opposite of the 13 and adjacent to the x which means your ratio should be o/a or 13/x. The trig ratio needed is Tangent. Now you can write the equation as tan(27)=13/x and start solving.

tan(27)=13/x multiply the x on both sides and you'll have x * tan(27)=13 and decide which to put into your calculator and you'll get x=25.51393657 rounded as 25.5

Other Questions
Make a list of three works that can be done by yourself in your locality earth has a low air pressure zone at the equator because what Pls help :) grades are due friday i'm scared :(In Ponce de Leon Park there is a flagpole that is exactly 50 feet tall. Nearby there is a pine tree that appears to be nearly as tall as the flagpole. On a sunny afternoon the flagpole is casting a 15-foot-long shadow on the ground. The pine tree is casting a 12-foot-long shadow on the ground at the same time.How much taller than the pine tree is the flagpole?A.3 feetB.8 feetC.10 feetD.12 feet Can someone please help me with history. Why Was A Book In The Frying Pan On The Stove? Please help no links i keep getting them What caused the Soviet Union to get involved in countries as diverse as Egypt, the Congo and Vietnam?A they wanted to get rid of dictator ships around the wordB the goal of spreading communism throughout the worldC their alliance with China brought them to these countriesD a desire to increase trade with these nations what form of goverment would aliens have? i have to finish this today HELPPPP!a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply Help me out with those two letters pls **NOTE YOU WOULD GET 34 POINTS IF YOU ANSWER THIS** -4(w+1) = -244(w+1)=24minus, 4, left parenthesis, w, plus, 1, right parenthesis, equals, minus, 24 w =w=w, equals do u know about country Tibet.? Why do animals need carbohydrates in their diets?A) Carbohydrates can be used by the cells in the body for energy.()Carbohydrates are the building blocks for muscles and tissues.Carbohydrates are used in the absorption of water molecules.DCarbohydrates provide insulation for organs in the body. (05.03 LC)What is the initial value of the function represented by this graph? (5 points) Your friend thinks that the regular pentagon in the diagram has 10 lines of symmetry. Explain and correct your friend's error. Which group shows examples of precipitation?(2 points)Clouds, rain, snow, windHail, rain, sleet, snowSleet, clouds, snow, rainSleet, hail, water vapor, air I need help on this one mb- The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (2,100) and (4,200) to find the number of soda bottles the machine can make each minute The diagram shows the five kingdoms of life. The place where the circles intersect includeonly the characteristics that they have in common.Which characteristic belongs in the shaded area? Ted can read 135 pages in 3 hours.Which statement is true?A. The unit rate is 135 pages in 3 hoursB. The unit rate is 45 pages in 1 hourC. None of the statements are true