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
Tomtit [17]
3 years ago
9

Traveling with the current, a boat covers a distance 1.5 times greater than traveling against the current in the same amount of

time. What is the speed of the boat in still water if the speed of the current is 1.5 mph?
Mathematics
1 answer:
jeka943 years ago
4 0
Let the speed of the current equal c
and the speed of the boat in still water equal b.

b + c = 1.5 (b - c)
b + c = 1.5b - 1.5c
0.5b = 2.5c
b = 5c

The speed of the current is 1.5 mph so
b = 5 * 1.5 = 7.5 mph
You might be interested in
You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of
Firdavs [7]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How would you write in standard form 8 thousands+1200 hundreds
Alex_Xolod [135]
It is basically 8 thousand plus one thousand two hundred so your answer would be 9200
4 0
3 years ago
Ms. Gonzalez borrowed $4,500 from her bank to buy a jet ski. The loan has an 8.5% annual simple interest rate. If it takes Ms. G
Komok [63]

Answer:

765

Step-by-step explanation:

4500x8,5= 38250/100=382,5 x2= 765

4 0
3 years ago
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. At a historical la
Alborosie

Answer:

The number of candles will hold 2 candles

And large candle holder will hold 6 candles.

Step-by-step explanation:

Let the number of candles  small candle holder have x

And the number of candles large candle holder have y

So, according to the information given in the question:

17 small candle holders means 17 x

and 2 large candle holders means 2y

using a total of 46 candles means 17x+2y=46     (1)

Similarly, 8 small candle holders and 2 large candle holders, for a total of 28 candles gives:

8x+2y=28      (2)

We will solve equation (1) and (2) by elimination method:

Subtractijng the two equations we get:

9x=18

\Rightarrow x=2

Substitute x=2 in equation(2) we get:8(2)+2y=28

2y=12

\Rightarrow y=6

So, the number of candles will hold 2 candles

And large candle holder will hold 6 candles.

7 0
3 years ago
Other questions:
  • Which of the following could represent the scale factor of the smaller figure to the larger figure?
    12·1 answer
  • If x-15=30,what is the value of 2(x 5)
    6·1 answer
  • A population of 1,750 cheetahs decreases by 11% per year. How many cheetahs will there be in the population after 10 years?
    15·2 answers
  • How do you write this statement as a equation? 2 more than 3 times a number is 17
    7·2 answers
  • Write 0.31 as a fraction
    15·2 answers
  • Find the smallest square number that is divisible by each of the numbers 8, 9 and 10
    13·2 answers
  • A shoemaker bought 30 pairs of heels. How many individual heels did the shoemaker buy?
    6·1 answer
  • EXAMPLE How many inches are in 6 miles? (1 mile=5280 feet, 1 foot=12 inches)
    14·1 answer
  • The solution is {-8, 3} but I’m not sure how to graph it on a line, is it A B C or D?
    14·1 answer
  • Write the equation of a line in slope intercept form with the given slope and y-intercept
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!