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

Nia solved the equation -1.98 = 5.2 v + 13.1. Her answer was v = -2.9. She is fairly confident about her answer, but wants to do a quick check of her solution using estimation to make sure her answer is reasonable.

Which of the following shows a good check of her answer?

-2 = 5(-2) + 13
-1 = 5(-2) + 13
-3 = 5(-2) + 13
-2 = 5(-3) + 13

Answers

Answer:

you can obviously round the -2.9 to -3, check they distributed -3 to one and thats the answer!

what is the value of x

Answers

Answer:X= 41

Step-by-step explanation:

Solve for the value of q.

Answers

Answer:

q=13

Step-by-step explanation:

(8q-5)°+81°=180° (angles on a str line)

   8q-5+81=180

            8q=180+5-81

                =104

              q=104÷8

                =13

Using supplementary angle theorem

[tex]\\ \sf\longmapsto 8q-5+81=180[/tex]

[tex]\\ \sf\longmapsto 8q+76=180[/tex]

[tex]\\ \sf\longmapsto 8q=104[/tex]

[tex]\\ \sf\longmapsto q=13[/tex]

How is sin 10° = cos 80°??​

Answers

Check the picture below.

Answer:

See below.

Step-by-step explanation:

Location is Q1

Angle is less than 90

cos Ф = sin(90° - Ф)

cos 80° = sin (90° - 80°)

cos 80° = sin 10°                set your calculator in degree mode

Check

cos 80° = 0.1736481777

sin 10° =  0.1736481777

An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?
$36
$52
$76
$98

Answers

Answer:

$76.

Step-by-step explanation:

Here's Robert's spending diary for one week. It may not look like he's spending much. Use a calculator to add up Robert's total spending for the week. Monday Tuesday Wednesday Thursday Friday Saturday Sunday Lunch $7.00 Shampoo $6.00 Lunch $7.00 Jacket $40.00 Lunch $7.00 Breakfast $4.50 Coffee $2.00 Bus $3.00 CD $14.00 Lunch $7.00 Lunch $7.00 Movie $12.00 Haircut $40.00 Total: $21.00 $13.00 $10.00 $47.00 $19.00 $44.50 $2.00 How much does Robert spend on lunch in a week, in a year? If Robert continues to buy his lunch every weekday, he will be spending /week. S weeks in a year = $ spent during the year.​

Answers

The answer is 12 you welcome ma brotha

Use the figure below to answer the questions. Unit 1 Test, Part 2: Basic Tools and Transformations

Answers

Answer: 35

Step-by-step explanation:

Alan will spend at most $30 on gifts. So far, he has spent $19. What are the possible additional amounts he will spend?

Answers

Answer:

$11

Step-by-step explanation:

This is because If you subtract 19 from 30 your answer will be 19.

how many prime numbers are multiples of 8​

Answers

Step-by-step explanation:

four prime numbers..,..,,

Caroline opens a savings account at her local
bank. She plans to put of her net paycheck
10
in her savings account every week. In June, her
paychecks are $164.69, $177.86, $187.74,
and $163.04. How much money did Caroline
put in her savings account in June?

Answers

Answer:

So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account

Step-by-step explanation:

A circular garden has a diameter of 10 feet approximately how much edging trim is needed to surround the garden by placing the trim all along the gardens circumference

Answers

Answer: 31.4 feet

Step-by-step explanation:

For this, you basically need to calculate the perimeter of the circle. You do this using this formula:

diameter of the circle times Pie = the circumference of the circle

Since The number of Pie is infinite use the rounded version of pie to 2 decimal points which is 3.14(This is why the question asks for an approximate)

(Diameter = 10 Pie = 3.14 therefore circumference = 31.4)

10 times 3.14 = 31.4 feet

The amount of edging trim needed to surround the garden by placing the trim all along the gardens circumference is 31.4 ft.

The garden is circular in shape. Thereforem the trim that is needed to surround the garden is the circumfernce of the graden.

Circumference of a circle

The circumference of a circle is the perimeter of the circle. Therefore,

circumference = 2πr

where

r = radius

Therefore, the amount of edging trim needed to surround the garden by placing the trim all along the gardens circumference is as follows:

circumference = 2 × 3.14 × 5

circumference = 10 × 3.14

circumference = 31.4 ft

learn more on circumference here: https://brainly.com/question/25730499

Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

numbers are 24 and 210

Step-by-step explanation:

the number are : 24(2x2x2x3) and 210 (3x2x5x7)

GCF of 24 and 210 is 6

LCM of 24 and 210 is 840

9514 1404 393

Answer:

  a. numbers: 24, 210

  b. GCF = 6

  c. LCM = 840

Step-by-step explanation:

The number each circle represents is the product of the factors in that circle:

  red circle: 2×2×2×3 = 24

  blue circle: 2×3×5×7 = 210

The numbers represented in the diagram are 24 and 210.

__

The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:

  GCF = 2×3 = 6

__

The LCM is the product of all of the factors shown in the diagram:

  LCM = 2×2×2×3×5×7 = 840

_____

Additional comment

I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.

This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)

What is the numerical answer?
length = inches

Answers

Answer:

31.5 inches

Step-by-step explanation:

If 2 centimeters is 9 inches, then 1 centimeter is 4.5 inches. Then, just multiply by 7.

Add 1, multiply by 2. 2 First

Answers

Answer:

2+1×2=6

6+1×2=14

14+1×2=30

And so on

the given number line shows the solutions to which inequality
A)x + 4 ≥ 5

B)x – 2 > 7

C)x – 3 ≥ 6

D)x – 1 ≥ 8
—————————-


Answers

C) x – 3 ≥ 6

Solving this inequality by adding 3 on both sides, we get

x ≥ 9 which is shown on the number line

Molly needs to rent a car while on vacation. The rental company charges $19.95, plus 17 cents for each mile driven. If Molly only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Answers

Usually a company may charge a startup fee, is a charge for some things they need to do to start the service, in this case may just be paperwork, and it's $19.95, a fixed cost, and they're charging 17 cents or $0.17 for every mile driven, let's say that Molly is going to drive "m" miles, so the cost equation in "m" terms will be C(m) = 19.95 + 0.17m.

Now, we know she only has 40 bucks to spend, so, if she can keep her Cost to 40 bucks, how many miles can she go for?

[tex]C(m) = 19.95+0.17m\qquad \qquad \stackrel{\stackrel{cost}{\downarrow }}{40}=19.95+0.17m\implies 20.05=0.17m \\\\\\ \cfrac{20.05}{0.17}=m\implies 117.94\approx m[/tex]

now, if we were to round that up to whole miles, it'd be only 117.

Lin’s father is paying for a $35 meal. He has a 15%-off coupon for the meal. After the discount, a 4% sales tax is applied.

What is the discount amount? $
What is the subtotal? $
What is the amount of tax added? $
What does Lin’s father pay for the meal? $


also there are suppose to be 4 answers so if you do know it please tell me 4 answers

Answers

Answer:

discount: $5.25

subtotal: $29.75

added tax: $1.19

total: $30.94

Step-by-step explanation:

15% of 35 = $5.25

$35 - $5.25 = $29.75

$29.75 + 4% = $30.94  Sales tax = $1.19

Answer:

Step-by-step explanation:

100% - 15% = 85% = 0.85

$35 × 0.85 = $29.75 (Subtotal)

100% + 4% = 104% = 1.04

$29.75 × 1.04 = $30.94

~~~~~~~~~~~~~~~

What is the discount amount?

$35 × 0.15 = $5.25

What is the subtotal? $29.75

What is the amount of tax added?

$29.75 × 0.04 = $1.19

What does Lin’s father pay for the meal? $30.94

The mileage on Ori's car is 73,033 miles. What is the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again?

Answers

Answer:40

Step-by-step explanation:

The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that the mileage on Ori's car is 73,033 miles.

We need to find the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again.

Therefore, the mileage on Ori's car = 73,033 miles.

identical digits = 40

The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ3

Find the lengths of the sides of the triangle formed by the coordinates below. Then classify the triangle by sides.
A(1,1) B (4,1) C (4,5)

AB =
BC =
AC =

Number of congruent sides=

Then classify the triangle
Isosceles, scalene or equilateral

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]

[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]

well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.

Simplify the following and write your answer in simplest radical form: Multiply the polynomials

25a² + 10ab² + b²
X.................5a + b²
________________

Answers

Answer:

Step-by-step explanation:

125a³ + 50a²b² + 5ab² + 25a²b² + 10ab⁴ + b⁴

125a³ + 75a²b² + 5ab² + 10ab⁴ + b⁴

7. Given that 16 watermelons cost $48, which of these are equivalent ratios of number of watermelons to cost in dollars? Choose all that apply. A) 16:48 B) 3:1 © 1:3 D) 48:16 E) 3:9​

Answers

Answer:

c) 1:3

Step-by-step explanation:

Since 16 watermelons cost $48, the cost of 1 watermelon is 48 / 16 = $3.

Hence 1 : 3

The table shows a proportional relationship between x and y what is the unit rate of y per x ( 4, 5 , 6 , 7 ) (8 , 10 , 12 , 14 ) ?

Answers

Answer:

6

Step-by-step explanation:

9,962÷41. What dose it =

Answers

Answer:

242.975609756

Step-by-step explanation:

Answer:

242.975

Step-by-step explanation:

TIP: u can use a calculator if your teacher allows you, it would be faster :)

The difference of x and 8 is at least - 17.
I need helppp

Answers

Answer:

x - 8 < -17

8. 8

x > -9

Step-by-step explanation:

make sure to put a Line under the sign srry

708 Х 34

I have to Estimate I need help please I don't like math

Answers

Answer:

708 times 34 = 24,072

estimated = 710 times 30 = 21,300

Step-by-step explanation:

hope this helped!

mark me brainliest :D

Answer:

Estimate: 21,000 or 21,300 (the answer depends on what your teacher is looking for. you didnt give a lot of information so i apologise if its wrong)

Exact: 24,072

Step-by-step explanation:

Estimate -

700 x 30 = 21,000

or

710 x 30 = 21,300

Exact -

708 x 34 = 24,072

Hope this helps!! :)

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]

1. A ride descends from 100 meters straight down to 0 meters. The distance from the ground at any time is represented by the graph. The slope of the line is -4/5 between 0 and 125 seconds. How far did the ride descend in the time indicated by the marked vertical distance on the graph? (Orange line)






2. A car travels at a rate of 65 mph on a flat highway. How long did it take the car to get from a distance of 123 miles to 318 miles on its journey? (purple line)

Answers

9514 1404 393

Answer:

12 m3 hours

Step-by-step explanation:

1.

The slope of the line is "rise"/"run". Here, the "run" is given as (27 s -12 s) = 15 s. So, we have ...

  (change in distance)/(15 s) = -4/5 m/s

  change in distance = (-4/5 m/s)(15 s) = -12 m

The ride descended 12 meters in the time indicated on the graph.

__

2.

Again, the slope is "rise"/"run".

  65 mi/h = (318 mi -123 mi)/(travel time)

  travel time = (195 mi)/(65 mi/h) = 3 h

The car took 3 hours to get from 123 miles to 318 miles.

HELP PLSSSSSSSSSSSSSS

Answers

Answer:

120

Step-by-step explanation:

Answer:

x=17.7

Step-by-step explanation:

Pythagorean theory

a²+b²=c²

16²+7.5²=c²

256+56.25=c²

√312.25=√c²

c=17.7

June earned $ 75 last week. April earned $25. June earnings were how many times greater than April

Answers

Answer:

3 times

Step-by-step explanation:

25 times 3 is 75

This is what i think

The letter w represents a whole number such that 2021 + w is a multiple of 7. What is the smallest possible value of w?

Answers

Answer:

2

Step-by-step explanation:

2021/7 leaves a remainder of 5 so add 2 and that's the answer

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