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
Dmitry_Shevchenko [17]
2 years ago
12

Don Williams uses his small motorboat to go 5 miles upstream to his favorite fishing spot. Against the current, the trip takes 1

/3 hour. With the current the trip takes 1/5 hour. How fast can the boat travel in still water?

Mathematics
2 answers:
Alex17521 [72]2 years ago
6 0
<span><span>12 MPH GOING UP STREAM.
</span><span>
</span></span>
castortr0y [4]2 years ago
5 0

Suppose x is the rate at which the boat travels at still water.
let y be rate in moving water
up stream is x-y 
down stream is x+y
the 1/3(x-y)=5
1/5(x+y)=5
solve the system
x-y=15
x+y=25
add the equation to cancel y
we get 2x=40
x=20 
therefore the boat is moving at rate of 20 miles for hour in still water 

You might be interested in
3 times what equals 14
ad-work [718]
4.67, it’s a repeating decimal
7 0
3 years ago
Read 2 more answers
Madison has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 12 o
Troyanec [42]

Answer:

12x+22(y+10)=1240, y=x

small cups=30

large cups=40

Step-by-step explanation:

let x be the number of small cups and y the number of large cups.

-Given that 10 more cups than small cups of lemonade were sold:

12x+22(y+10)=1240

#Before the 10 more were sold, the number of x and y sold were equal>

x=y\\\\\therefore 12x+22(x+10)=1240\\\\12x+22x+220=1240\\\\34x=1240-220\\\\34x=1020\\\\x=30

The number of small cups sold was 30

#Since, the number of large cups was 10 more, y=x+10=30+10=40

7 0
3 years ago
Read 2 more answers
Hey guys can you help me pls
hjlf

Answer:

the top is 16/4

Step-by-step explanation:

6 0
2 years ago
Lily said that n=3 is a solution of the equation 16+n=18.Is Lily correct ?Explain
MAVERICK [17]
No, Lily is not correct. This is because 16+3 does not equal 18. So to find N, you take 18 and subtract 16. 
18-16=n 
18-16=2
so n=2
16+2=18.
6 0
3 years ago
Read 2 more answers
The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

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

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


5 0
3 years ago
Read 2 more answers
Other questions:
  • A brick has a mass of 2,000 grams. What is the mass of the brick in kilograms?
    7·1 answer
  • 9.
    9·1 answer
  • One question please!!!!
    14·1 answer
  • What’s the x and y intercepts of this equation: -3x-7y=84
    14·1 answer
  • Solve 10 (2y +2) - y =2 (8y- 8)
    11·1 answer
  • F:R R,f(x)=x+4 cu axa Oy
    6·1 answer
  • Which fundamental identity is used in the second step of proof?
    12·1 answer
  • 2. Which statement is true?
    12·1 answer
  • Help please!!!!!!!!!!
    5·2 answers
  • Can someone help me please hurry
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!