A boat goes 24 miles at a constant speed in 4 hours against a river current.
It takes the boat 3 hours to go the same distance at the same speed with the
current of the river. What is the speed of the boat and what is the current of
the river?

Answers

Answer 1

The speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

A boat goes 24 miles at a constant speed in 4 hours against a river current.

It takes the boat 3 hours to go the same distance at the same speed with the current of the river.

Let's suppose the speed of the boat is x miles/hour and the current of the river is y

x- y = 24/4

x - y = 6 ..(1)

x + y = 24/3

x + y = 8  ..(2)

Adding equation (1) and (2):

2x = 14

x = 7 miles/hour

y = 8 - 7 = 1 miles/hour

Thus, the speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.

Learn more about the distance here:

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Related Questions

What is the slope of a line perpendicular to the line whose equation is 12x-3y=81. Fully reduce your answer.

Answers

Answer:

-1/4

Step-by-step explanation:

-3y = 81-12x

y= 4x - 27

4m = -1 x 1/4

= -1/4

Can someone help me on this! plz help me and tell me how u got the answer.
and plz dont troll.....

Answers

Answer: The last choice, 2x + 3y = 10

Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.

Solve the system by substitution.
y = -3x + 4
y = -7x
Submit Answer

Answers

Answer:

{y,x} = {7,-1}

Step-by-step explanation:

(-7x) + 3x = 4

- 4x = 4

 4x = - 4

x = - 1

   y = -7x

   x = -1

   y = -7(-1) = 7

I need an answer for both of these

Answers

Answer:

1. x < -2

2. x < -9

Step-by-step explanation:

1. x + 15 < 13

Minus 15 on both sides.

x + 15 - 15 < 13 - 15

+15 - 15 makes a 0.

x < -2

2. x + 11 < 2

Minus 11 on both sides.

x + 11 - 11 < 2 - 11

+11 - 11 makes a 0.

x < -9

Answer:

1. x < -2

2. x < -9

3. x < 15

Step-by-step explanation:

Treat the < and > symbols as an equals sign to make it less confusing to solve. Then solve for x like you normally would.

1. x+ 15 = 13

subtract 15 from both sides

x=-2, or x < -2

2. x + 11 = 2

Subtract 11 from both sides.

x=-9, or x <-9

3. 19 > x + 4

19 = x + 4

Subtract 4.

15 > x, or x < 15

Which of the following linear equations has exactly one solution?
OA = 2
OB +1 = 2
OC -1 = 3 - 2
OD 2+1= + 2

Answers

D the answer is because

Body temperatures that are 0.9°F above or below 98.6°F are considered normal. What equation can be used to determine the least and greatest normal temperatures? What are Ithe temperatures?

pls help fast

Answers

Answer: i got a for your answer choice

Step-by-step explanation:

Noah collected five water samples from local streams. Each sample was the same size, and he collected 4.35 liters of water in all. What was the volume of each water sample?​

Answers

Answer:

4.35/5= 0.87 liters

you divide the total by how many to find out what the unit rate is for each sample

Step-by-step explanation:

????????????????????last one loll

Answers

Answer: Hope this helped you!

Step-by-step explanation:

If you start of will 10 and you eat 6 you ate 6/10 which is equal 60%

Start by 10 its gonne equal88

If anyone could answer this it would be great!!

Answers

Answer:

27/8

Step-by-step explanation:

first you would convert -.5 to -1/2 and add everything up by getting the same denominator

Answer:

3.375

Step-by-step explanation:First convert the 2 1/4 and the 1 5/8

then you just add it with the 0.5 or just use a calculator  

2 1/4 = 9/4

1 5/8= 13/8

okay now do this ---> 0.5 + 9/4 +13/8 =3.375

Claudia spends $2.15 day for lunch.Her cafeteria lunch account has a balance of 48.00.Which equation can be used to determine the maximum number of days,d,that she can eat without adding money to her lunch account?

Answers

Given :

Claudia spends $2.15 day for lunch.

Her cafeteria lunch account has a balance of 48.00 .

To Find :

The maximum number of days, d that she can eat without adding money to her lunch account.

Solution :

Number of days she can eat without adding money in her account is :

[tex]n = \dfrac{Remaining \ Balance }{2.15}\\\\n = \dfrac{48}{2.15}\\\\n = 22.325[/tex]

But, number of days cannot be in decimal.

Therefore, maximum number of days she can eat without adding money to her lunch is 22 days.

HELP PLEASE!!!! I ONLY HAVE 3 MORE MATH RIDDLES LEFT!!!!

Answers

Answer:

97

Explanation:

Buddy- 6

Hermey-3

____________________________________________________________

It takes Buddy 94 years to be 100 so you would add 94 to both boys ages!

6+94=100 years old!

3+94= 97 years old!

Answer:

He is going to be 50 years old

Step-by-step explanation:

if he was 3 when his brother was 6 then it would mean that when his brother is 100 he should be 50  because that would be half. You can divide it if you want some extra proof :)

A private college allows local residents to use athletic facilities such as the gym and the pool for a fee. The college charges a one time registration fee of $25 and also charges a fee of $18 per semester of use. complete the table to show the total cost of using the athletic facilities after each semester listed.

Answers

Step-by-step explanation:

1) 43

2) 61

3) 79

4)97

5)115

Answer:

popoverlover20 is correct I got it right

Step-by-step explanation:

can someone help me ​

Answers

Answer:  B) 6 minutes

============================================================

Explanation:

Let's find the slope of the table. This will tell us the rate of change.

m = slope

m = (y2-y1)/(x2-x1)

m = (25250 - 26375)/(2 - 1) .... I used the first two rows

m = -1125/1

m = -1125

The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.

Since we're told the initial altitude was 27500 ft, this means b = 27500

This means y = mx+b turns into y = -1125x+27500

x is the number of minutes and y is the altitude at time x

As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.

------------------

Now plug in y = 16250 and solve for x

y = -1125x+27500

16250 = -1125x+27500

-1125x+27500 = 16250

-1125x = 16250-27500

-1125x = -11250

x = -11250/(-1125)

x = 10

It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.

Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.

Please help this is due right now!

Answers

Answer:

i believe its B

Step-by-step explanation:

Okay. B because your paying more than store A so B will pay the phone off faster than store A . if i am wrong let me know.

A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house. How much did she earn on the sale? Round your answer to the nearest cent. Pls help i need thins in less than 5 minuets pls

Answers

$5,520.00 there ya go

What is this i dont know pls help me

Answers

I’m going to say it is A hope this helps

Kyle is buying a book online for $14.58. It is on sale for 10% off. What is the sale price with a 8.25% tax?

Answers

First, find the discount by finding 10% of $14.58. To do this, convert 0% into a decimal and multiply by $14.58.

14.58 x 0.1 = 1.458.

Since this a sale price, how much he is getting off, subtract from the total.

14.58 - 1.458 = 13.122.

We still have to find the sales tax. Solving is similar to finding the discount.

13.122 x 0.0825 = 1.082565.

Now, since it is a tax, add to the total.

13.122 + 1.082565 = 14.204565

Round to the nearest hundredth, and you have $14.20.

The sale price with after tax is $14.20.

Planes A and B are shown. If a new line, p, is drawn parallel to line l, which
statement is true?
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same plane as line l.
O Line p must be drawn in the same plane as line n

Answers

Answer: the second one

Step-by-step explanation:

I’m smart I have al a’s

The true statement is - Line p must be drawn so that it can lie in the same plane as line l.

What is plane?

"It is a two-dimensional flat surface with no edges or thickness."

What are parallel lines?

"Two lines in the same plane that are at equal distance from each other and never meet."

For given question,

Planes A and B are shown.

If a new line, p, is drawn parallel to line l,  must be drawn so that it can lie in the same plane as line l.

Line l lie in plane A.

So, the line p must be drawn in the plane A.

Therefore, the true statement is - Line p must be drawn so that it can lie in the same plane as line l.

Learn more about parallel lines here:
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someone pls explain how to do this step by step

Answers

Answer:

7

Step-by-step explanation:

12=5+4p+3p ---> subtract the 5 to the other side

12-5=4p+3p ---> combine like terms

7=p

Hope this helps! :)

Which pair of angles are complementary but not adjacent?

O 1 and 25
O 1and 3
O 4 and 1
O 4 and 5

Answers

1 and 3 is the answer

In 2020, the United States population is 3.31 x 108. What is this number in standard form?
А
33,100,000
B
331,000,000,000
С
331,000,000
D
3,310,000
anybody know the answer??

Answers

Answer:331,000,000

Step-by-step explanation:

The length and width of one rectangle are 8 and 5.

The width of the other rectangle is 5, but its length is unknown so we label it `x`.

Answers

Answer:

fksfk

Step-by-step explanation:

Answer: x is 8

Step-by-step explanation:

HELPP ASAPPPP

Evaluate the expression 10m - 11
if m=4

Answers

Answer:

is the answer 45444.2453 jd

Step-by-step explanation:

Answer:

10m -11 ( plug in the given value for m)

10 (4) -11  (do multiplication first because of PEMDAS)

40 -11  (subtract)

29 (the answer)

PLEASE HELP PLEASE EMERGENCY

Answers

1, 5, 4, 2, 3 in that order

Answer:First one is first step. 2 is Last step. 3 is fourth step. 4 is second step. 5 is Third step

Step-by-step explanation:

I went down the column

4 T =
fl OZ
(T = Tablespoons)

Answers

Answer:

2 fl oz

Step-by-step explanation:

Answer:

4 tablespoons is = to 2 fl oz

can someone help me with these two please , i’ll cashapp

Answers

3. 180 - (53+68) = 59

The answer is B. 59°

4.
Part A: The measure of a is 70°.

Explanation: The angle sum in any triangle is 180°. 70 + 40 is 110. To find the final angle, subtract 110 from 180. 180 - 110 = 70

Part B: The length of x is 5m.

Explanation. The triangle is an isosceles triangle. We know this because the two angles on the base are equal. Since this is an isosceles triangle, the two longer sides are the same length. Therefore: x = 5 m.

rewrite y=-8x+1 in standard form

Answers

Answer:

8x+y=1

Step-by-step explanation:

Hope this helps!!

Abby bought one package of cookies that weighed 24 ounces and another package that weighed 2 pounds 2 ounces. What was the combined weight of the two packages of cookies she bought?

Answers

Answer: If you place 10 packages per box, each box will weigh 10(3 lb 4 oz). This is 30 lb 40 oz. For 4 boxes you would have 4(30 lb 40 oz). This is 120 lb 160 oz. To put you answer in the correct form you need to change the 160 oz to pounds and ounces. 16 oz is equal to 1 pound, so divide 160 by 16. The 160 oz is equivalent to 10 lbs. Therefore the total weight of 4 boxes is 120 + 10 which equals 130 lbs.

please help! What is true about the graph on the interval from point c to point d?

Answers

Your selected answer is correct

please help someone​

Answers

m2 is 49 and m1 is 131

Answer:

m1 =131 degrees

m2=49 degrees

Step-by-step explanation:

Alternate interior angles are always congruent, so they will be equal to each other, so m1=131 degrees.

Straight angles always add up to 180 degrees, so 180-131=49, so m2=49 degrees

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