A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?

solve using a system of equations. will mark brainliest for correct answer and working

Answers

Answer 1

Answer:

2 6/7 km/h

Step-by-step explanation:

t - time spent by boat, s - speed of the raft

time  = distance / speed

Equations:

t = 20 / 12t + 5 h 20 m = 20 / s

Time the patrol-boat spent:

t = 20/12 = 5/3 h

Time the raft spent:

5 h 20 min + t = 5 1/3  + 5/3 =16/3 + 5/3 =21/3 =7 hours

The speed of the raft:

7 = 20/ss = 20/7s = 2 6/7 km/h

Related Questions

d) A patient is given 11÷2ml of medicine three times a day. How long does a bottle of 132 ml of medicine last?​

Answers

Answer: 8 days.

Explanation;

11/2 = 5.5

5.5 x 3 = 16.5

132/16.5 = 8

Answer:

8 days

Step-by-step explanation:

So, 11/2 * 3 = (33/2) = 16.5 ml  

Let the number of days medicine last be 'x'.  

⇒ 16.5 * x = 132  

⇒ x = 132/16.5  

⇒ x = 8.  

Therefore, Medicines last for 8 days.  

Hope it helps!

I need help solve the equation

Answers

Answer:

  y = x +1

Step-by-step explanation:

The line meets the y-axis (on the left side of the graph) at y=1. This is the y-intercept (b).

The line goes up 1 grid square for each 1 grid square to the right. Its slope is ...

  m = rise/run = 1/1 = 1

Now, we know m and b so we can write the slope-intercept equation for the line:

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = x +1

A 95% confidence interval for the true proportion of teenagers who have been to a professional sporting event is
(0.289, 0.416). Is it reasonable to believe that more than 25% of teenagers have been to a professional sporting
event?
O Yes, because 0.3525 is in the interval.
O Yes, because the entire interval is greater than 0.25.
O No, because there are values in the interval greater than 0.3525.
O No, because the center of the interval is 0.3525, which is not statistically greater than 0.25.

Answers

Using the given confidence interval, it is found that the correct option is:

Yes, because the entire interval is greater than 0.25.

The 95% confidence interval is (0.289, 0.416).

Since the lower bound of the interval, which is of 0.289, is greater than 0.25, the belief is reasonable.

Using the above justification, the correct option is:

Yes, because the entire interval is greater than 0.25.

A similar problem is given at https://brainly.com/question/17097944

he population of a particular town is given by the function P(t) = 1,200(1.05)2t, where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) in 7 years?

Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t (4 points)

1,200, 5% annually, and 1,689
1,200, 50% semiannually, and 20,503
1,200, 10.5% per year, and 2,414
1,200, 5% semiannually, and 2,376

Answers

Answer:

Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t

1,200, 5% annually, and 1,689

1,200, 50% semiannually, and 20,503

1,200, 10.5% per year, and 2,414

1,200, 5% semiannually, and 2,376

In type 1 diabetes, the immune system attacks certain cells in the pancreas.

Question 2 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

The person's immune system specifically targets beta cells disrupting the production of insulin.

Multiply.

(−3 6/7)⋅(−3 1/3)

What is the product?

Enter your answer as a simplified mixed number in the box.

Answers

9514 1404 393

Answer:

  12 6/7

Step-by-step explanation:

The product of two negative numbers is positive, so we can ignore the signs.

  (3 6/7)(3 1/3) = (3)(3) +(3)(1/3) +(6/7)(3) +(6/7)(1/3)

  = 9 + 1 + 18/7 + 2/7

  = 10 + 2 4/7 + 2/7

  = 12 6/7

Solve for g.
16g–11g+g=6
g=

Answers

5g + g = 6
6g = 6
g = 6/6
g=1

30x^8-4x^7+6x^4/-6x^3 perform division

Answers

Answer:

[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]

Step-by-step explanation:

[tex]\frac{30x^8-4x^7+6x^4}{-6x^3}[/tex]

The first thing I would do is to factor the numerator. All coefficients there are divisible by 2, and all variables are divisible by x⁴. I'll also move the negative sign to the left.

[tex]-\frac{2x^4(15x^4-2x^3+3)}{6x^3}[/tex]

Next, you can simplify 2/6 to 1/3:

[tex]-\frac{x^4(15x^4-2x^3+3)}{3x^3}[/tex]

Finally, the last thing you can do is simplify x⁴/x³ to x/0:

[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]

That's as simplified as it gets.

Which graph represents the solutions to x > ?

Answers

Answer:

D because all the values are greater than the point and do not include the point

Answer:

The Answer Is D

Step-by-step explanation:

4) 4+ 1 =
a) 5
b) 572
12
c) 51
d) 572
6
12

Answers

Answer:

4+1=5

Step-by-step explanation:

Note down the below rules

(+)(+)=(+)(-)(+)=(-)(+)(-)=(-)(-)(-)=(+)

If p=7, then what is the value of 8×p−68×p-6?
A
6

B
9

C
50

D
56

Answers

Answer:

d

Step-by-step explanation:

you need to type it in the calculator and solve it

Solve for u.

7u–u+2u+11u=10
u=

Answers

Answer U = 10/19
Bc explain

an investment had return of 13% if inflation was 4.1% what was your real return ?

Answers

Answer: 8.9%

Step-by-step explanation: 13 - 4.1

Show all your working.
2
3
Income tax
Everyone can earn a certain amount of money without paying tax. This
is called a Personal Allowance. They must pay tax on any earnings
over this allowance.
4
5
6
£11 850
Income tax Personal Allowance, 2018/2019
7
8
This formula gives the amount of Income tax a person pays in a year
T = 0.2 (y-p)
9
10
where T = income tax for the year
y = money earned per year
p = Personal Allowance
11
12
13
14
15
A caterer earns £1375 per month.

Answers

Answer:

The gravitational force acting between the two bodies is given by:

F=G

r

2

m

1

m

2

G=

m

1

m

2

Fr

2

The dimension of the force is [MLT

−2

]

=

[M][M]

[MLT

−2

][L

2

]

=M

−1

L

3

T

−2

In 2021, Miranda records net earnings from self-employment of $158,500. She has no other gross income. Determine the amount of Miranda's self-employment tax and her for AGI income tax deduction.
In your computations round all amounts to two decimal places. Round your final answer to whole number

Answers

Answer:

We don't have the tax rate so I'll just explain how to do it

Step-by-step explanation:

158,500 multiplied by ( a unit of one subtracted (-) from the percentage of tax rate in decimal form ) is the total of money Miranda made after tax

Bella conducted a scientific experiment. For a certain time, the temperature of a compound rose
3
1
3
3
3
1

degrees in
15
15 minutes. What was the rate, in degrees per hour, that the temperature of the compound rose?

Answers

Answer: 13 1/3 degrees per hour

Explanation: 10/3 x 4 = 40/3

40/3 = 13 1/3

SOLVE PLZ I give brainlest
17+ -9

A. 26

B. 8

C. -8

D.-26

Answers

Answer:

B: 8

Step-by-step explanation:

When you add a negative number, it means you subtract that number.

[tex]17+-9=17-9=8[/tex]

Series
What number should replace
the question mark? (2,3)(3,22)(4,59)(5,?)

Answers

Answer:

120

Step-by-step explanation:

y = x³ - 5

A. What does each of these points represent in the is situation: (0, 0), (1, 55), and (5, 275)?

What does each of these points represent in this situation (0, 0), (1, 55) and (5, 275)? Graph shows Mr. Brown’s road trip, with time (h) on the x-axis and distance (mi) on the y-axis. Points marked on the line graph are at (0, 0), (1, 55) and (5, 275).

Answers

Step-by-step explanation:

[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{9999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]

write an equation to represent CJ’s total pay

Answers

Answer:

P = 15h

I hope it helps.

If cos θ = sin 2 θ, then the value of θ is = ___?​

Answers

Given that:

Cos θ = Sin 2θ

⇛ Cos θ = 2 Sin θ Cos θ

⇛ Cos θ / Cos θ = 2 Sin θ

⇛ 1 = 2 Sin θ

⇛ 1/2 = Sin θ

⇛ Sin θ = 1/2

⇛ Sin θ = Sin 30°

⇛ θ = 30°

Therefore, θ = 30°

Answer :-The value of θ for the given problem is 30°

Check:-

LHS = Cos θ

⇛ Cos 30°

⇛ √3/2

RHS = Sin 2θ

⇛ Sin (2×30°)

⇛ Sin 60°

⇛ √3/2

LHS = RHS is true for θ = 30°

»If you have any doubt, then you can ask me in the comments.

what is 2.4g-2.4g-9.8g

Answers

Answer:

2.4g-2.4g-9.8g "-9.8 grams".

Step-by-step explanation:

You just have to subtract the masses.

Hope this helps :)

167.67 divided by 8.1

Answers

Answer:

167.67 divided by 8.1 = 20.7

use a calculator its easy

whats the answer can someone answer please​

Answers

Answer:

both are c

Step-by-step explanation:

Cassidy places 40 stamps on each of 8 albums pages how many stamps dose she place

Answers

Answer:

Cassidy places 5 steps on each album page.

Cassidy places 320 stamps in total.

Step-by-step explanation:

40÷8=5 stamps on each album page

40×8=320 stamps in total

Function or not functional? Pls help tyyy

Answers

Answer:

not functional, 0 over laps with T and X. so that should make it not functional (I think )

I need the solution urgently plz help me with the question I will mark you brainleist​

Answers

Answer:

This is the answer thanks me later

The price of gas goes up to $3.24 per gallon after a 9.4% increase. What was the price before the increase?

Answers

Answer:

i think this correct

Step-by-step explanation:

3.24=(1+9.4/100) x

then x= 2.961 $

13. For a weekly car rental, a car-rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles.
16
Create a table of m and A values using the equation from part a for 150, 200, and
250 miles.

Answers

Answer:

a) y = 0.10(16) + 100

y = $ 101.60

b) y = 0.10(150) + 100

y = $115

c) y = 0.10(200) + 100

y = $120

d) y = 0.10(250) + 100

y = $125

Step-by-step explanation:

Next, Kevin makes a cylinder-shaped candle. He uses a metal can as a mold. The can has a radius of 6 centimeters and a height of 18 centimeters. How much wax is needed to fill the metal can?

Answers

Answer:

Kevin needs approximately 2034.7 centimeters of wax to fill the metal can.

Step-by-step explanation:

To find the how much wax is needed to fill the metal can we have to find the volume of the cylinder in which we use the equation, V = 3.14(r^2)(h)

V = 3.14(r^2)(h)

3.14(6^2)(18)

3.14(36)(18)

3.14(648)

V = about 2034.7 centimeters

Other Questions
Brainliest if correct 4.3 All-Black TownsAfrican Americans in Oklahoma and Indian Territories would create their own communities toA. escape discriminationB. have open markets for cropsC. acquire financial assistanceD. all of the above most deaths from ebola are due to loss or organ failure, despite the widespread bleeding characteristic of this disease. Find the positive integer of a two digit number such that the difference between the tens digit and the unit digit is 2. If the digits are reversed, the sum of the integer and its reverse is equal to 132. You need to collect at least 32 shells to create a necklace. Your friend gave you 14 and you already had 6. How many more shells do you need to make a necklace? * Use the graph below to answer the question. On a coordinate plane, a line goes through (0, 0) and (3, negative 3). What is the slope of a line that is perpendicular to the line in the graph? If you were to arrange materials or photographs to give a false impression, this would be an example of Libel Invasion of Privacy Censorship False Light 750[tex]\geq[/tex](12+x)(24+x) A photograph is 25 cm wide and 20 am hide. It might be reduced to fit a space that is 8 cm high. Find the wridth of reduced photographed. Melanie is getting "D" grades in several of her classes. To get Melanie to study more, her parents should V. Use a comma plus a coordinating conjunction to join the sentences in each cluster. Ex: a. He hung the picture.b. The wire was too thin. [, but]c. It fell off the wall. [, and] He hung the picture, but the wire was too thin, and it fell off the wall.1. a. Manny skated on the pond.b. Sandy went sledding on the hill. [, and] 2. a. You can taste-test the dessert yourself.b. You can ask me to test it for you. [, or] 3. a. He answered the letter late.b. He had the flu. [, for]4. a. We watched the news on television.b. We did not see the weather report. [, but] 5. a. The neighbors are on vacation.b. Perhaps they are not answering their door. [, or] 6. a. Allison completed her report on Monday.b. She practiced her presentation on Tuesday. [, and] 7. a. Harry trained for the race.b. He was a sure winner. [, and]c. He twisted his ankle the weekend before the event. [, but]8. a. Grandpa pitched the ball to me.b. I hit a home run. [, and]9. a. The tree grew tall.b. She pruned its leaves.c. It produced no apples.10. a. Her jewelry must be real.b. It must be expensive.c. It shines brilliantly.11. a. They went to hear the concert.b. They took some friends along. [, and] 12. a. She could go over to her friends house.b. She could talk to her on the phone. [, or]13. a. He especially liked peppers on his pizza.b. His friends wanted olives. [, but]14. a. We know Kelly arrived early.b. We saw her in the cafeteria. [, for]15. a. The math problem was not solved by me.b. It was [not] solved by anyone. [, nor]16. a. She could borrow her friends blouse.b. She could try to mend her own. [, or]17. a. The frozen yogurt was good.b. The toppings were delicious. [, and]c. The cone was soggy. [, but]18. a. Henry shoveled five driveways to earn money.b. He still didnt have enough to buy the disc player.19. a. The play was interesting.b. The actors were his friends. Question 6 (5 points)When did the written tradition become important in West Africa?abwhen the use of paper became widespreadafter Christianity spread to West Africawhen more people learned to writeafter Islam spread to West AfricaOOd if you are continuously working with the same range, then you may give a name to the range using _____ option in the data menu open office. a define data. b define range. c define reference. d define addres What is 924 \ 6 Please explain how you did it( BTW / stands for divided by)Tell me if Im reading this incorrectly just in case. Thanks! Write a linear function f with the given values. (-4,-2)(-2,-1)(0,0) A computer can download 250 megabyte (MB) of a movie file in 25 seconds thenHow long does the computer take to download the whole file of size 1.8 GB? PLEASE HELP ME FAST IF YOU CAN why do people continue to get sick with the common cold even after multiple bouts with this disease? f(x)=x^2-(7/2)x-.5 and g(x)= 2-(2/x) 3. He is not a great writer. He is very popular. (Change into a complex sentence.) Which of these is another way toexpand beyond acquiring land andbuilding a large navy?A. protecting your borders with a large armyB. influencing other countries to modernizeC. engaging in isolationismD. setting up trade tariffs to limit the movementof products