the thief with the stolen accordion has been traveling on a raft for 2 hour 40 minutes from Village Ivanovo toward Village Sosnovka. Aniskin immediately leaves Sosnovka in a motorboat and travels upstream toward the raft. Aniskin catches the thief 27 km from Sosnovka. Find the speed of the raft if the speed of the motorboat in still water is 12 km/h and the distance from Ivanovo to Sosnovka is 44 km.

Answers

Answer 1

Answer:

3 km/h

Step-by-step explanation:

Let the speed of raft (current) - rSpeed of motorboat - 12 km/hThe distance between villages - 44 kmLet the time spent by Aniskin  - tThe time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + tThe distance the thief traveled = 44 - 27 = 17 km

We have following equations:

r(8/3 + t) = 17(12 - r)t = 27

Simplify the equations:

r(8/3 + t) = 17 ⇒ rt + 8/3r = 17(12 - r)t = 27 ⇒ 12t - rt = 27

Add up the equations and solve for r:

rt + 8/3r + 12t - rt = 448/3r + 12t = 44r = 16.5 - 4.5t

Substitute r into second equation:

(12 - 16.5 + 4.5t)t = 274.5t² - 4.5t = 279t² - 9t - 54 = 0

Solving we get

t = 3 h

Find r:

r = 16.5 - 4.5*3 = 3 km/h

Answer 2

Answer:

Step-by-step explanation:


Related Questions

Can someone please help me? I am trying to help my son. Here is the problem:
Catherine is hanging a string of lights 40 feet long around the three sides(two on the width and one on the length) of her rectangle patio, which is adjacent to her house. The length of her patio, the side of the house, is eight feet shorter than six times the width. Find the length and the width of the patio.


Thanks everyone!!

Answers

Answer:

Step-by-step explanation:

x = width

6x - 8 = length

2x + 6x - 8 = 40

8x = 48

width = 6 feet

length = 28 feet

WILL MARK BRAINLIST JUST HELP ME
What is the volume of the triangular prism?
A) 15 cm3
B) 18 cm3
C) 21 cm3
D) 24 cm3

Answers

Answer:

A

Step-by-step explanation:

thirty percent of all seventh graders own a bracelet. explain whether the sample closely estimates the percentage of seventh graders who own a bracelet.

30 seventh graders, 3 own a bracelet

Answers

it doesn’t. if there were 30 7th graders and 30% owned a bracelet that would mean 9 own a bracelet.

The sample of 3 seventh graders who own a bracelet out of 30 seventh graders does not closely estimate the thirty percent of all seventh graders owning bracelets.

What is a percentage?

Percentages are fractions where the denominator is 100.

We have,

Number of seven grade students = 30

Number of students who own a bracelet = 3

The percentage of seven grade student who owns a bracelet:

= (3 / 30) x 100

= (1/10) x 100

= 10 %

This means that 10% of seven grade student owns a bracelet.

Thus, the sample does not closely estimate the percentage of seventh graders who owns bracelets.

Learn more about percentages here:

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.jh ip i pk ih ih i i pi ih ih hjk i i ihh k k

Answers

Answer:

k k hhi i i kjh hi hi pi i i hi hi kp i pi hj

J is insists sis’s sjshjssjens jssbjss

determine the solution using substitution y=3/2x-6 2y=7-4x

Answers

Answer:

x = 19/7 , y= -27/14

Step-by-step explanation:

(19/7, -27/14) x= 19/7 y=-27/14

At a restaurant, Sherry leaves a tip of about 25%. If her bill is $41.33, what is the amount of the tip? What is the total price?

Answers

Answer:

10.333

Step-by-step explanation:

If you use percentage, we will get 10.3325.

But it's money, so we will have to round it up.

We then get 10.333.

I think the answer is $51.66 but I’m not sure , hope I can help though

PLS PLS ANSWER (NO UNKNOWN LINKS OR ILL REPORT U)

Answers

Answer:

the answer to your question is 100

x is 100 because the ‘blue angle’ and ‘green angle’ are opposite angles

A total of 12 runners complete in a race. The first three runners to cross the finish line will win medals. and how many different arrangements can the three medals be awarded?
A. 1,320
B. 79,833,600
C. 1,728
D. 220​

Answers

Don’t click linkkkkkkkkkk

A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what is the area of the remaining roof after the skylight is built?
a. 77^2 + 115 + 68
b. 77^2 + 105 + 28
c. 83^2 + 115 + 68
d. 77^2 − 105 + 28

Answers

Yea what the other girl said


LOTS OF POINTS IF U ANSWER

A 30-ounce jar of peanut butter costs $6.00. A 40-
ounce jar costs $7.20. Which jar of peanut butter is
cheaper per ounce? Be sure to justify your reasoning
and SHOW your WORK.

Answers

Answer:

The 40 ounce jar is cheaper

Step-by-step explanation:

how i did this was divide 6.00 by 30 to get 0.2 cents per ounce then 7.20 divided by 40 to get 0.18 cents per ounce so the 40 ounce jar would be cheaper, hope this helps.

The 40 ounce jar is cheaper

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

7/15

Step-by-step explanation:

Multiples of 3 = 3, 6, 9, 12, 15

Multiples of 5 = 5, 10, 15

3, 5, 6, 9, 10, 12, 15 = 7 numbers

Probability = 7/15

Hope that helps!

Answer:

7/15

Step-by-step explanation:

Because it is the "Correct Answer"

Ellie worked 6 hours on Monday, 4.5 hours on Tuesday, 4 hours on Wednesday, 5.75 hours on Thursday, and 3 hours on Friday. If she is paid $10.18 per hour. Find her gross earnings for the week.

Answers

Answer:

⚠️DO NOT RELY ON ME⚠️ But, just by doing It in my head i think it's 236.685, but I don't really know just my thought process and mental math

What is the correct answer I’m offering brainalist + 10 points don’t just say A please can you explain to me why you chose what you chose

Answers

Answer:

Answer is Complementary.

Step-by-step explanation:

This is because complementary angles add up to 90 degrees. In this example, the angles are exactly 45 degrees. Therefore, because there are two angles 45 * 2 is 90. Answer is B.

Answer:

D. vertical

Step-by-step explanation:

We can rule out A and B because they wont equal 180 or 90 they will be somewhere in between. We can rule out C because those are acute angles. So we are left with D. These angles are vertical because they are opposite angles made by two intersecting lines and they have equal values.

I'll mark brainliest!​

Answers

Answer:

C is your answerrrr

can i have brainliest?

Step-by-step explanation:

Answer:

The answer is c

this is the answer because Find the least common denominator or LCM of the two denominators:

LCM of 3 and 8 is 24

Next, find the equivalent fraction of both fractional numbers with denominator 24

For the 1st fraction, since 3 × 8 = 24,

1/3 = 1/3 × 3/8 = 8/24

Likewise, for the 2nd fraction, since 8 × 3 = 24,

3/8 = 3/8 × 1/3= 9/24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

8/24 < 9/24

or 1/3 < 3/8

What happen when you multiply a number by it's reciprocal?

Answers

Answer:

When you multiply the number by its reciprocal the numerator of the one becomes the denominator of the other and is equals to 1 .

what is the slope of a line passing through (2,-3) and (5,1)?​

Answers

Answer:

The slope of the line is ⁸/₅, or 1.6

Step-by-step explanation:

Slope is equal to Δy/Δx, so we have:

(1 - (-3)) / (5 / 2)

= 4 / 2.5

= 8 / 5, or 1.6

does 7/10 x 80 represent 70% of 80

Answers

Answer:

yes

Step-by-step explanation:

I say yes I did the math for it

Hello, Can you please answer this.​

Answers

Answer:

Hey!

V = 1906.624 cm^3

SA= 922.56 cm^2

Step-by-step explanation:

The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube.

Volume of a cube = side times side times side.

The automobile insurance
company receives 18 calls in 6
hours. How many calls do they
received in 11 hours?

Answers

Answer:

33

Step-by-step explanation:

An easy way to do this is create a proportion.

[tex]\frac{18}{6} = \frac{x}{11}[/tex]

Keep in mind you could also write this equation as  [tex]\frac{6}{18} = \frac{11}{x}[/tex] as long as you are consistent. The number of calls should be in the same place and the hours should also be in the same place (either the numerator or denominator).

Next, just cross multiply.

6x = (18)(11)

6x = 198

x = 33 calls

Answer:

They would get 33 calls!

Step-by-step explanation:

Hope this helps!

Quadrilateral ABCD is a parallelogram with < BCA= 50 , < DCA=60, find value of

Answers

Answer:

[tex]ADC = 70[/tex]

Step-by-step explanation:

Given

[tex]BCA = 50[/tex]

[tex]DCA = 60[/tex]

See attachment for parallelogram and complete question

Required

Find ADC

From the attachment:

[tex]BCD = BCA + DCA[/tex]

[tex]BCD = 50+60[/tex]

[tex]BCD = 110[/tex]

Adjacent angles add up to 180.

So:

[tex]ADC + BCD = 180[/tex]

[tex]ADC = 180-BCD[/tex]

[tex]ADC = 180-110[/tex]

[tex]ADC = 70[/tex]

What acceleration will result when a 12 N force is applied to a 6 kg object?
If you know please include the equation, it would really help me out, thanks so much!

Answers

Hi there!

[tex]\large\boxed{2 m/s^{2}}[/tex]

Use the equation F = m · a where:

F = Force (N)

m = mass (kg)

a = acceleration (m/s²)

Plug in the given values:

12 = 6a

Divide both sides by 6:

12/6 = a

a = 2 m/s²

There are 12 pieces of candy in a bowl. 6 are mints, 4 are Butterscotch, and 2 are Cinnamon.

What is the probability of Mr. Binder pulling
Butterscotch from the bowl, putting it back, and
then choosing mint? P(Butterscotch, then mint)

Answers

Answer:

1/6

Step-by-step explanation:

total = 12

number of butterscotch = 4

number of mint = 6

Since he replaces the mint, these events are independent events.

p(butterscotch, then mint) = p(butterscotch) * p(mint)

p(event) = (number of desired outcomes)/(total number of outcomes)

p(butterscotch) = 4/12 = 1/3

p(mint) = 6/12 = 1/2

p(butterscotch, then mint) = p(butterscotch) * p(mint)

p(butterscotch, then mint) = 1/3 * 1/2

p(butterscotch, then mint) = 1/6

Answer: 1/6

I don't understand how to solve Sequence dots? Can you show me step by step how to solve the first one A?

Answers

Answer how but just put it on brainly

Step-by-step explanation:

it tells you the answer

Jeremy users 18 inches of twine for each box he packs for shipping. how many yards of twine does he need to wrap 5 boxes?

Answers

Answer:

2.5 yards of twine

Step-by-step explanation:

1 box = 18 inches

5 boxes = 18 x 5 = 90 inches

90 inches = 2.5 yards

Which condition would prove ΔDEF ∼ ΔJKL?

Answers

Step-by-step explanation:

DE : JK

= 21 : 7

= 1 : 3

#CMIIW

The condition that proves congruent of two given triangles ΔDEF ∼ ΔJKL would be option A; DE : JK.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

we have given proof two triangles congruent by the postulate of SSS.

Since two corresponding sides of these triangles are congruent so additional third side should also be congruent to prove both the triangles congruent.

AC ≅ DF will complete the SSS property to prove both the triangles are congruent.

DE : JK

= 21 : 7

= 3 : 1

Learn more about triangle here:

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2
10 m
5 m

what is the hypotenuse

Answers

10 m cause it’s the largest.

Answer:

i don't know  the answer sorry

Step-by-step explanation:

Here's a challenge.... solve for this ​

Answers

I'm very bad in geometry. Sorry mom I failed geometry .

Which choice is a graph of the solution set for 12 - X < 8?
Pleaseeeee helpppppp NUMBER 14

Answers

Answer:

B

Hope this helps!

explanation:

we solve the inequality and to do that we must first subtract 12 from both sides, which gets us -x<-4, then we divide both sides by -1, which gives us x>4, since we have to flip the sign when we divide by a negative. when we graph this, there will be a circle around 4 and the arrow pointing to the right, since it's greater than.

How much force is needed to stop a 1,400 kg truck pulling up to a stop light if
the truck took 4 seconds to stop and was moving at 36 m/s? If you know the answer please include the equation, it would really help me out, thank you! This is not math is is science btw.

Answers

Hi there!

[tex]\large\boxed{-12,600 N}[/tex]

Recall that the equation to calculate force is:

F = m · a where m = mass, a = acceleration, and F = net force.

Since we are given the velocity, and time needed to stop, we can calculate the acceleration using the following kinematic equation:

vf = vi + at

The initial velocity is 36 m/s and the final velocity is 0 m/s, therefore:

0 = 36 + at

Move 36 to the other side and plug in the given time:

-36 = 4a

Divide both sides by -4 to find a:

-36/4 = a

a = -9 m/s².

Since the acceleration is -9 m/s² and the mass is 1400 kg, use the above force equation to solve:

F = -9 × 1400 = -12600 N. (negative refers to the force working in the opposite direction of the car's travel. If simply needing the magnitude of the force, it would be 12600 N)

Pls help I’ll brainlest ASAP

Answers

Answer: A

Step by step explanation:

Answer:

A. 100+25x= 700

Step-by-step explanation:

since he saves $25 per month you have to divide 700 and 25 and you get 28

if You aren’t sure Its right then multiply 25 and 28 and you get 700

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