1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irakobra [83]
3 years ago
15

A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. What is the rate of the current?

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0
With the current 40 miles per hour
Against the current 30 miles per hour
bv means boat velocity with NO current
cv means current velocity
A) bv + cv = 40 mph
B) bv - cv = 30 mph
Adding both equations:
2bv = 70
boat velocity with NO CURRENT = 35 miles per hour

Using equationA
bv + cv = 40
35 + cv = 40

current velocity = 5 miles per hour


Alchen [17]3 years ago
5 0

Answer:

Speed of current = 5 mph

Step-by-step explanation:

Let u be the speed of boat and v be the speed of current.

A boat makes a 120-mile trip downstream in 3 hours.

120 = 3(u+v)

u + v = 40

It makes the return trip in 4 hours.

120 = 4(u-v)

u - v= 30

Adding both equations

u + v + u - v = 40+30

2u = 70

u = 35 mph

35 + v = 40

v = 5 mph

Speed of current = 5 mph

You might be interested in
Find the value of X in each of the given triangles.​
ki77a [65]

<DSR + <SRD + <RDS = 180° (Angle sum property)

2x + x +3x = 180°

6x = 180°

x = 180°/6

x = 30°

So, <SRD = x = 30°

<RDS = 3x = 3(30°) =90°

<DSR = 2x = 2(30°) = 60°

Hope it helps !

✌️

Jai hind !

8 0
3 years ago
Read 2 more answers
Sam used 666 loaves of elf bread on an 888 day hiking trip. He wants to know how many loaves of elf bread (b)(b)left parenthesis
ipn [44]

Answer:

90909 pieces of elf bread

Step-by-step explanation:

666 divided by 888 is .75

.75 times 121212 is 90909

7 0
3 years ago
Read 2 more answers
the fastest train in the us can travel 2.6 miles per minute.At that speed how far does it go in half an hour?
Mama L [17]
The train good 2.6 miles in a minutes and you are looking for how far it does in 30 minutes you have multiply 30 times 2.6 and you get 78 miles
30•2.6 = 78
8 0
3 years ago
Read 2 more answers
Applications 24. A rocket is launched into the air. Its height in feet, after x seconds, is given by the equation The starting h
SVEN [57.7K]

The given function is

h(x)=-16x^2+300x+20

According to this function, the starting height of the rocket is 20 feet because that's the initial condition of the problem stated by the independent term.

Additionally, we find the maximum height by calculating the vertex of the function V(h,k).

h=-\frac{b}{2a}

Where a = -16 and b = 300.

\begin{gathered} h=-\frac{300}{2(-16)}=\frac{300}{32}=\frac{150}{16}=\frac{75}{8} \\ h=9.375 \end{gathered}

Then, we find k by evaluating the function

\begin{gathered} k=-16(9.375)^2+300(9.375)+20 \\ k=-1406.25+2812.5+20=1426.25 \end{gathered}

Hence, the maximum height is 1426.25 feet.

At last, to know the time need to hit the ground, we just use h=9.375 and we multiply it by 2

t=2\cdot9.375=18.75

Hence, the rocket hits the ground after 18.75 seconds.

6 0
1 year ago
Please explain how to do it
Juli2301 [7.4K]

Answer:

k = 4

Step-by-step explanation:

if direct variation exists,

input * k = output

here, number of baskets = input and cost = output

3 * k = 12

5 * k = 20

6 * k = 24

8 * k = 32

15 * k = 60

does this always work for one k?

let's try it out

3 * k = 12

divide both sides by 3 to solve for k

k = 4

5 * k = 20

divide both sides by 5 to solve for k

k = 4

6 * k = 24

divide both sides by 6 to solve for k

k = 4

8 * k = 32

divide both sides by 8 to solve for k

k = 4

15 * k = 60

divide both sides by 15 to solve for k

k = 4

as k = 4 no matter what, there is a direct variation with k = 4

4 0
3 years ago
Other questions:
  • What is the solution to the equation1 over the square root of 8 = 4(m − 2)? (1 point)
    7·1 answer
  • What is 12.462 rounded to ones
    13·1 answer
  • HELP a repeating decimal + A fraction...
    9·1 answer
  • If m&lt;VST = (5x + 23) and m&lt;VUT =<br>(8x - 49), find m&lt;SVT​
    7·2 answers
  • Decide whether the data in the table represents a linear function or an exponential function. Explain how you know.
    13·1 answer
  • - of a number is 27. What's the number?<br> k.
    6·1 answer
  • if you are looking to determine the range of the following set of numbers which number would you take as the smallest number? 2,
    8·1 answer
  • The sum of three consecutive numbers is138.what is smallest of. the three numbers?
    5·1 answer
  • The list shows the value of five accessories that Mary purchased for her cell phone. 29, 15, 22, 52, 38 What is the mean absolut
    11·1 answer
  • Adele has 19 stamps in her collection.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!