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
Rudik [331]
3 years ago
14

Samantha swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 12 m

inutes. If the river flows at 4 mph, how fast can Samantha swim in still water? 3 mph 6 mph 7 mph 8 mph
Mathematics
1 answer:
Sever21 [200]3 years ago
4 0

Answer:

The option B is correct, i.e. 6 mph.

Step-by-step explanation:

Suppose Samantha swim in still water at speed of X mph.

If the river flows at 4 mph,

Then Upstream speed = (X-4) mph.

And Downstream speed = (X+4) mph.

Samantha swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 12 minutes.

It means <u>Distance upstream = Distance downstream</u>.

Speed upstream x Time upstream = Speed downstream x Time downstream.

(x-4) * 1 = (x+4) * 12/60

x - 4 = 0.2x + 0.8

x - 0.2x = 0.8 + 4

0.8x = 4.8

x = 4.8/0.8 = 6 mph.

Hence, the option B is correct, i.e. 6 mph.

You might be interested in
4462 mm² in m²
Varvara68 [4.7K]

Answer:

0.004462m²

612000m²

0.0482m²

Step-by-step explanation:

Using the conversion

1mm² = 10^-6m²

4462mm² = x

Cross multiply

1 * x = 4462 * 10^-6

x = 4462 * 10^-6

x = 4.462 * 10^3 * 10^-6

x = 4.462*10^{3-6}

x = 4.462*10^-3

x = 0.004462m²

Hence 4462 mm² in m² is 0.004462m²

0.612 km² in m²

1km² = 10^6m²

0.612km² = y

Cross multiply

1 * y = 0.612 * 10^6

y = 0.612*1,000,000

y = 612000m²

Hence 0.612 km² in m² is 612000m²

482 cm² in m²

1cm² = 0.0001m²

482 cm²  = z

z = 482 * 0.0001

z = 0.0482m²

Hence 482 cm² in m² is 0.0482m²

6 0
2 years ago
Dividing the polynomial P(x) by x-6 yields a quotient by Q(x) and a remainder of 5.
bazaltina [42]

Dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.

As given in the question,

P(x) be the given polynomial

Dividing P(x) by divisor (x-6) we get,

Quotient = Q(x)

Remainder = 5

Relation between polynomial, divisor, quotient and remainder is given by :

P(x) = Q(x)(x-6) + 5   __(1)

Given Q(-6) = 3

Put x =-6 we get,

P(-6) = Q(-6)(-6-6) +5

⇒ P(-6) = 3(-12) +5

⇒ P(-6) =-36 +5

⇒ P(-6) = -31

Now x =6 in (1),

P(6) = Q(6)(6-6) +5

⇒ P(6) = Q(6)(0) +5

⇒ P(6) = 5

Therefore, dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.

The complete question is:

Dividing the polynomial P(x) by x - 6 yields a quotient Q(x) and a remainder of 5. If Q(-6) = 3, find P(-6) and P(6).

Learn more about polynomial here

brainly.com/question/11536910

#SPJ1

7 0
1 year ago
I need answer Immediately pls!!!!!!!
Anuta_ua [19.1K]

Answer:

1/14

Step-by-step explanation:

There is only 1 common multiple of 4 and 6 between 1 and 14.

So the probability is:

P = \frac{1}{14}

8 0
3 years ago
Read 2 more answers
Orly uses 3 cups of raisins for every 10 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cu
MrRa [10]
This is a proportion problem
3/10= 12/x
Now cross multiply and divide
12 x 10= 120
120/3= 40
Answer is 40
4 0
3 years ago
6n+7n<br> whats the answer
sergeinik [125]
13n





ahaha , it’s that easy !!






have a good day <3
3 0
2 years ago
Read 2 more answers
Other questions:
  • What is -4j –1–4j 6 in simplest form
    15·1 answer
  • (5x-6x^2y+x^2)-(-3x^2y+4x^2)
    12·1 answer
  • Which of the following describes point C<br> (-2,1)<br> (-2,-1)<br> (1,-2)<br> (-1,-2)
    14·1 answer
  • How to solve G(2x-3)= (2x-3+a)-(2x-3+a)
    7·1 answer
  • What graph shows percentages?
    14·2 answers
  • 8 rows of 7 squares.<br> What is 56 ÷ 7?
    6·1 answer
  • Please help me please please
    13·2 answers
  • Help quick what's 9+10
    9·1 answer
  • jessa jane, and dina bought materials for thir project in math worth 306.75 pesos the girls divided the amount equally among the
    14·1 answer
  • The interior angles formed by the sides of a hexagon have measures that sum to 720°.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!