Marcus can drive his boat 36 miles down the river in 3 hours but takes 4 hours to return upstream. Find the rate of the boat
in still water and the rate of the current.

Answers

Answer 1

Answer:

With river 12 miles per hour

Against river 9 miles per hour

wv = water velocity  vsw = boat velocity in still water

vsw +wv =  12 mph

vsw -wv = 9 mph

2 * vsw = 21 mph

boat velocity in still water = 10.5

Since vsw + wv = 12 then

water velocity = 1.5 mph

Step-by-step explanation:

Answer 2

Answer:

speed in still water: 10.5 Current: 1.5

Step-by-step explanation:


Related Questions

can someone help me? im really stumped, i will give brainliest. so please help. thanks. i really need it

Answers

Answer:

The answer is A.

Step-by-step explanation:

The question is basically asking which number, added to 3.5, gives you -4.3.  You just have to do the operation -4.3 - 3.5 to get the answer.  You just need to do the inverse.  You should end up with -7.8.

Write the answer in simplest form 3/8 + 1/6

Answers

Answer:

13/24

Step-by-step explanation:

3/8+1/6=9/24+4/24

Answer:

13/24

Step-by-step explanation:

3/8 + 1/6 - (3/3 x 3/8) + (4/4 x 1/6) - 9/24 + 4/24 - [tex]\frac{9+4}{24}[/tex] = 13/24

help please tell me if its a b c or d​

Answers

Answer:

C

Step-by-step explanation:

just did it

An 5 in. by 7 in. photo is reduced so that the width (the shorter dimension) is 4 in.
What is the length of the reduced photo?

What is the length of the reduced photos
4in
3.75 in
5.25 in
5.60 in

Answers

Answer: 5.60 in

Step-by-step explanation:

4 / 5 = x / 7 Multiply both sides by 7

28/5 = x Divide 28 and 5

5.6 = x

So the answer would be 5.60 inches.

The length of the reduced photo will be 5.60 in.

What is proportion?

A proportion is a comparison of two numbers that each represent the parts of a whole.

Given that, An 5 in. by 7 in. photo is reduced so that the width is 4 in

Since, there is a reduction occurring then the new and original dimensions will be in equal proportion,

Therefore,

4 / 5 = x / 7

28/5 = x

5.6 = x

x = 5.6

Hence, the answer would be 5.60 inches.

For more references on proportion, click;

https://brainly.com/question/3254974

#SPJ2

Which of the following statements is true?


1. Simple interest can be found by the formula I = Prt. T stands for time in months.

2. Compound interest can be found by a formula that gives both the original principal plus the amount of interest.

3. When you calculate compound interest, only the amount of interest is found.

4. When you calculate simple interest, I = the amount of interest plus the principal

Answers

I have a lot to say

3/2+b=7/4 what is the value of B

Answers

b = 1/4

b = 0.25

Move all terms not containing  b  to the right side of the equation.

Answer:

b=1/4

Step-by-step explanation:

Jonathan invested $930 in an account paying an interest rate of 3.1%
compounded continuously. Assuming no deposits or withdrawals are made,
how much money, to the nearest ten dollars, would be in the account after 11
years?

Answers

Answer:

1310

Step-by-step explanation:

Answer:

  1310 .

Step-by-step explanation:

 

f(x) = x + 8; translation 5 units down

Answers

Answer:

Please check the graph diagram attached.

From the diagram,

The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3

It is clear the parent function f(x) = x+8 has been translated down 5 units.

Step-by-step explanation:

The rule to determine the translating down 'b' units:

f(x) – b

It means if we have to translate a function f(x) 'b' units down, all we need is to subtract the 'b' units from the function output.

Given the function

f(x) = x + 8

In order to translate 5 units down, all we need is to subtract 5 units from the function.

i.e.

f(x) = x + 8 - 5

f(x) = x+3

Thus, we conclude that f(x) = x+3 is the translated function.

Please check the graph diagram attached.

From the diagram,

The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3

It is clear the parent function f(x) = x+8 has been translated down 5 units.

I really need help on this question.!

Answers

Answer:

[tex]b = 135 \\ a + c = 45(ie \: 180 - 135) \\ a = \frac{45}{2} \\ a = 22.5[/tex]

Can someone PLEASE answer 5 and 6 for me?this assignment is due in a few minutes

Answers

Answer:

Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour

As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches

Step-by-step explanation:

I hope this helps and I’m not to late.

hellllllllllllllllllllllllllllllllllp​

Answers

Answer:

I think it's A. 32.0

Step-by-step explanation:

4/5 + v = 41/20
solve this plz and show me how you got the answer

Answers

Answer:

v = 1 1/4   (1.25)

Step-by-step explanation:

4/5 + v = 41/20

16/20 + v = 41/20

16/20          16/20

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

v = 41/20 - 16/20 = (41-16)/20 = 25/20 = 5/4 = 1 1/4

Mrs Vargas bakes a pie for her book club meeting. The shaded part of the diagram below shows the amount of pie left after the meeting. That evening Mrs Vargas eats 3/8 of the whole pie. Which fraction represents the amount of pie remaining?

Answers

Step-by-step explanation:

there is a typo

4(3+c)+c=c+4 ???????????????????????????

Answers

Answer: = - 2

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

4(3+4) so you do multiplication because there is a parenthesis and you do the 4 multiply the number that is inside the parenthesis so 4x3 + 4x4 you do that and then multiply it then we will have 12+16 and we add that we get 28 and that’s the answer I hope it helps you

14,219.92 The 9 in the ones place is _______ the value of the 9 in the tenths place.

Answers

Answer:

less

Step-by-step explanation:

Answer: 14,219.92 The 9 in the ones place is 10 times the value of the 9 in the tenths place.

which trends are reshaping the business, microeconomic and microeconomic environment and competitive arena?​

Answers

Honestly I don’t even know what this is sorry I tried

Select the correct answer.

15

If no denominator equals zero, which expression is equivalent to I

7

+

I + 62

6

OA.

OB.

221 + 132

12 - 36

221 48

12 - 36

22

12 – 36

221 + 48

12 – 36

O C.

OD.

Reset

Next

Answers

Answer:

See Explanation

Step-by-step explanation:

Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.

So, I'll make use of the following expression:

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

When you follow the steps I'm about to provide, you'll arrive at the right answer

Required

Determine an equivalent expression

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

Step 1: Take L.C.M of the denominators

[tex]LCM = (n+3)(n-4)[/tex]

Step 2: Evaluate the fractions

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]

Step 3: Open the brackets at the numerator

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]

Step 4: Collect and evaluate like terms

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]

Follow the above steps, and you'll be able to solve your question.

Andrea earns $32.25 a day. After 9 days , about how much will she have earned?

ESTIMATE

Answers

270? not completely sure.

The basketball team went out for pizza after their championship game.
The total bill was $125. The tax rate was 7%. The coach left a 25% tip for the waitress because she worked very hard serving all of the kids.
Determine the total bill.

Answers

Answer:

$165

Step-by-step explanation:

Find what 7% of $125 is. (Multiply 125 times .07)

Find what 25% of 125 is (Multiply 125 times .25)

Add everything together

You get an answer of $165

Hope I helped!! :)

Pls mark brainliest!!!

If 2x +9= 23, then 3x =

Answers

Answer:

21

Step-by-step explanation:

First you have to solve for x in the equation 2x + 9 = 23. Cancel 9 on both sides. You cancel 9 by subtracting 9 on the left side and on the right side:

23 - 9 = 14.

Now, you have 2x = 14. To isolate the variable, divide by 2 to cancel out 2.

14 / 2 = 7.

This will give you x = 7. Now that you know what x equals, you can substitute x in 3x. This would make it 3(7), or in other words 3 x 7.

3 x 7 = 21.

This means that 3x would be equal to 21. Hope it helps!

Answer:

to solve typical question like this first u have to find (x)

[tex]2x + 9 = 23 \\ x = \frac{23 - 9}{2 } \\ x = \frac{14}{2} = 7[/tex]

therefore x = 7 then substitute the answer u got for (x) to the 3(x)

3x3×7 = 21


A cylinder has a radius of 7 meters. Its volume is 3,077.2 cubic
meters. What is the height of the cylinder?

Answers

Answer:

19.99cm

Step-by-step explanation:

[tex]\pi r^{2}h = 3077.2\\[/tex]

plug in 7 for r and you get:

49pi x h = 3077.2

h = 19.99m

1.Tara buys 6 cakes, each costing 23p. How much will they cost?

2. She pays with a £5 note. How much change will she get?
pls answer!!!

Answers

Answer:

£ 3.62

Step-by-step explanation:

Cost of 6 cakes = 6 * 23

                          = 138 p

                          = £ 1. 38

Balance money = 5 - 1.38

                          = £ 3.62

i thinks it is 3.62 i believe

What is the opposite of the opposite number located at point b? A) −2 B) −1 2 C) 2 D) 1 2​

Answers

Answer:

Hope it help

Step-by-step explanation:

Letter c

Help with this please!! Asap I’m not sure of the answer

Answers

Answer:

135

Step-by-step explanation:

135+45=180

Pls help
(Pls just give answers, I’m really tired ok )

Answers

Answer:

See attached

Step-by-step explanation:

The answers are in the picture below

Answer:

1) 11-y= -9

2)41+w= 26

3)r/6= 4

4)18×p= 54

5)v/-4= 13=>v= -54; yes

6)108= -36z=>z= 108/(-36)=>z= -3; yes

7)27=n-16=>n=27+16=>n=43;not a solution

8)84=78+t=>t= 84-78=>t= 6; not a solution

9)a/2=36------------B. What number divided by 2 equals 36?

10)2a=36------------C. 2 times what number equals 36?

11)2+a=36-----------D. 2 plus what number equals 36?

12)a-36=2-----------A. What number minus 36 equals 2?

Bella needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the area of the two triangles that need to be painted?
Dimensions:
Triangle 1: 6 by 2
Triangle 2 5 by 9​

Answers

Answer:

It would be 28.5. First, you would find the area of the smaller triangle by using the formula a=.5bh (area=.5xbasexheight) and then when you get that, you should get 6. Then, you do the same for the larger triangle and you should get 22.5. Then, 22.5 + 6 = 28.5, giving you that answer.

Step-by-step explanation:

Please Help with math word problem.

A community drama centre sells tickets to a play. They sell 216 tickets. Adult tickets cost $10.25 and students tickets cost $8. The total number of sales was $2117.25. How many students tickets were sold, how many adult tickets were sold?

Please show me how its done

Will make brainlist, thanks

Answers

Answer:

Adult Tickets: 173

Student Tickets: 43

Explanation:

To solve this problem, you'll need to set up a system of equations.Assume a = # of adult tickets soldAssume s = # of student tickets sold

2: a + s = 216; 1: 10.25a+ 8s= 2117.25

2: <<As the total number of tickets sold from both sides is equal to 216>>

1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>

Note that there are two ways to solve systems of equations (by elimnation and substitution), in this case I'll use elimnation as substitution requires one of the variables in one of the two equations to be isolated.

In this case, I'll elimnate a.

a + s = 216

10.25a + 8s = 2117.25

In order to elimnate a, it has to be equal to - 10.25 so that it cancels out + 10.25 (so you have to multiply everything on the first equation by 10.25 ((what you do to one part, you'll do to all the other parts)).

-10.25a -10.25s = -2214

10.25a + 8s = 2117.25

a cancels, and now you solve accordingly.

-2.25s/-2.25 = -96.75/-2.25

s = 43

You could solve for a using this same method, but it's easier to use the first formula <<a+s=216>> to find a.

a + 43 = 216

- 43 -43

a = 173

What is the equation of the line that passes through the point (2, -2) and has a
slope of -1/2

Answers

Are you looking for this ?
I took this last year it’s -1/2 for school and it’s rights

graph the opposite of the opposite og 10 on the number line click on the number line to identify the numer location​

Answers

Answer:

the answer would be -10

Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?




10 ÷ 40​​

40⋅10 ​

40 + 10​​

40 ÷​ 10​ PLEASE HELP ASAP

Answers

40 • 10 i believe is the answer
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