A motorboat travels 102 miles in 3 hours going upstream. It travels 186 miles going downstream in the same amount of
time. What is the rate of the boat in still water and what is the rate of the current?

Rate of the boat in still water:

Rate of the current:

Answers

Answer 1

Answer:

Rate in still water = 48 mph.

Rate of current = 14 mph.

Step-by-step explanation:

Let the rate in still water be x and rate of the current be y miles per hour.

Upstream:

x - y = 102/3

Downstream:

x + y = 186/3

Adding the 2 equations

2x = 102/3 + 186/3 = 34 + 62

2x = 96

x = 48 mph.

So 48 - y = 34

y = 48 - 34 = 14 mph.


Related Questions

Find the circumference of the coin. Use 3.14 or 22/7 for pi. Remember to have the correct units.
1) Show work on how you got your answer!
2) NO LINKS!
3) NO silly answers!
~Hocus Pocus

Answers

Answer: 12.56 cm

Step-by-step explanation:

Pi looks like this π or 3.14 or 22/7

A formula for circumference is: C = 2π r

The radius or r listed in the diagram is 2cm.

1) Plug r into the equation...

C = 2π 2

2) Simplify the equation

C = 4π

3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)

However both answers come out to be 12.56

Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}

Answers

Answer:

the inverse for each relation:

1. {(1,-2), (2, 3),(3, -3),(4, 2)} is

{(-2,1),(3,2),(-3,3),(2,4)}.

Twenty times the square of a non-zero number is equal to 20 times the number. ​

Answers

Answer:

the number could be 0 or 1

Step-by-step explanation:

20x² - 20x = 0

20x(x - 1) = 0

20x = 0

x = 0

x-1 = 0

x = 1

Why is there a letter also on Mathematics?

I mean, there is a letter in English...

I don't know why there is a letter like 2x + 19 and x + 23.

It's really frustrating that there's a letter in Mathematics

They can just do "3*4" instead of "x*4 when x=3"

I know... I know... It's a silly question.

Answers

Answer:

Not silly, i understand but "x" is supposed to be a subsitute for a number after the many equations youll be learning in algebra. x can be anything, it isnt set to anykind of specifac number but rather an output of an equation. It is fustrating but i reccomend khan acdemy videos or math nation since they specialze in thses kinds of maths

Step-by-step explanation:

Which of the following is NOT a way to write a probability?
O Decimal
O Percent
O Fraction
O Mr. Eisenberg

Answers

I’m really sure it’s D. Mr. Eisenberg

the product of 6 less than a number and 4 more than the
number

Answers

Answer:

(x-4)(x+8)

Step-by-step explanation:

Based on the definition of independence, which THREE statements are correct?
P(A) ,
A)
1
1
and B)
12
Events A and B are independent.
12
35
Events A and B are independent.
P(A) = 4, P(B) = , P(A and B) =
B)
1
1
P(A)
A B
10
Events A and B are independent.
P(A) = , P(B) = , P(A and B) =
7.
12
D)
Events A and B are dependent.
PLA) = }, PB) - to, P(A and B) - 1 2 3
E)
Events A and B are independent.

Answers

Answer: A, D, and E

Step-by-step explanation:

what is 3 /8 times 4/7 in simplest form

Answers

Answer:

3/14

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4\text{ in}10.4 in and the height of the pyramid is 9.6\text{ in}9.6 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

21.6in^3

Step-by-step explanation:

\text{Volume of Pyramid:}

Volume of Pyramid:

V=\frac{1}{3}Bh

V=  

3

1

​  

Bh

Where B is the area of the base

\text{Perimeter of base}:

Perimeter of base:

\,\,10.4

10.4

\text{Side length of base}:

Side length of base:

\,\,\frac{10.4}{4}=2.6

4

10.4

​  

=2.6

Divide perimeter of square by 4 to get side length

\text{Area of base}:

Area of base:

\,\,2.6^2=6.76

2.6  

2

=6.76

Area of a square is s^2

B=

B=

\,\,6.76

6.76

h=

h=

\,\,9.6

9.6

given

V=

V=

\,\,\frac{1}{3}Bh

3

1

​  

Bh

V=

V=

\,\,\frac{1}{3}(6.76)(9.6)

3

1

​  

(6.76)(9.6)

Plug in

V=

V=

\,\,21.632

21.632

V\approx

V≈

\,\,21.6\text{ in}^3

21.6 in  

3

February has 28 days. It rained on [tex]\frac{3}{4}[/tex] of the days in February. What was the total number of rainy days during this month?

Answers

Answer:

21

Step-by-step explanation:

28x3/4

21 because if you find half of 28 which is 14 and that is 2/4 and 1/4 equals 7 so just add 14 plus 7.

Used car auctions give car dealers an opportunity to increase their used car inventory by purchasing cars used as rental cars, assigned to company executives, and other similar activities. Suppose population 1 is all black cars sold at used car auctions, and population 2 is all white cars sold at used car auctions. Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions. Based on this, using both the appropriate symbol and in words, state the one parameter of interest.

a. The parameter of interest is μ the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
b. The parameter of interest is μ1, the mean sale price of all black cars sold at used car auctions.
c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
d. The parameter of interest is μ2, the mean sale price of all white cars sold at used car auctions.

Answers

Answer:

c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions

Step-by-step explanation:

Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.

The parameter of interest is the difference. Suppose we have that [tex]\mu_1[/tex] is the mean sale price of all black cars sold at used car auctions, while [tex]\mu_2[/tex] is the the mean sale price of all white cars sold at used car auctions. Since the parameter of interest is the difference, it is [tex]\mu_1 - \mu_2[/tex], and the correct answer is given by option c.

The equation y+6=1/3(x-9) is written in point- slope form. What is the equation written in slope-intercept form?

Answers

Your answer would be option three,  y = 1/3 x -9 :)

what is
1/3 x (15+6)

Answers

Answer:

First, you do 15+6 (because of the parentheses)

You get 21

then you have to do 1/3 times 21 and you get 7

Answer:

7

Step-by-step explanation:

Using BODMAS which stands for:

(Bracket, of, Division, Multiplication, Addition and Subtraction)

We first treat the bracket

  (15+6)=21

We then treat the division

(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)

[tex]\frac{1}{3}[/tex]

Then we move onto the multiplication which is the last part

[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7

HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD

Answers

I think that the answer is A.

A translation is applied to the triangle formed by the points A (-1,4), B(-1,10), and C(3,6). The image is the triangle that has vertices. A’(3,4), B’(3,10), and C’(7,6).

The triangle was translated…

The answers:

4 units to then left

4 units up

4 units to the right

4 units down


Answers

4 units up i believe

How to do y=5x+2 and 3x=-y+ 10

Answers

answer:
y = 5x + 2
5 is the slope 2 is the y-intercept
3x = -y + 10 turns into y = -3x + 10
-3 is the slope 10 is the y-intercept
they intersect at (1, 7)

step-by-step explanation:
I’m not sure what you are wanting me to do with these but i will give you all the information about them
y = 5x + 2 is already in slope-intercept form
5 being the slope and 2 being the y-intercept
to solve for 3x = -y + 10
-3x+y +y-3x
y = -3x + 10
the slope is -3
the y-intercept is 10
they intersect at (1, 7)

Which of these could be the graph of F(x) = 3 • (0.5)^x?

Answers

The answer is C, good luck!

The graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph of the function is cutting an intercept at point 3 at the y-axis and is lying about the x-axis. The graph of the function is attached with the answer below.

Therefore, the graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ5

7.
Which number line represents the solution to 2x + 3 < 5?

Answers

I think it's option 2.

Answer:

Option 2

Step-by-step explanation:

Option 2 is the answer

hope it helps uu

brainliest pls

I need help please urgent

Answers

Answer:

its ok don't worry

Step-by-step explanation:

its a mental answer

A cross section is made parallel to the bases of a right triangular prism. Which of the following statements is true regarding the area of the cross section and the area of the base?

The area of the cross section is less than the area of the base.
The area of the cross section is greater than the area of the base.
There is insufficient data to determine these area relationships.
The area of the cross section is equal to the area of the base.

Answers

Answer:

The area of the cross section is equal to the area of the base.

Step-by-step explanation:

Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression

Answers

Answer:

x^2 -2x-24

Step-by-step explanation:

Answer: (x+4)(x-6)

Step-by-step explanation: Plato Answer

A litter of kittens consists of two gray
females, one gray male, two black
females, and two black males. You
randomly pick one kitten. The kitten is
gray or male.

Answers

the kitten would be gray

if sides of a triangle have lengths 8 ft and 12 ft.

Answers

Answer:

[tex]20 > c > 4[/tex]

Step-by-step explanation:

Given

[tex]Sides =8\ and\ 12[/tex]

Required

The third side

To do this, we make use of the triangle inequality theorem which implies that:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

Where

[tex]a,b,c\to sides[/tex]

So, we have:

[tex]8 + 12 > c[/tex]

[tex]8 + c > 12[/tex]

[tex]12 + c > 8[/tex]

Solve all inequalities

[tex]8 + 12 > c[/tex]

[tex]20 > c[/tex]

[tex]8 + c > 12[/tex]

[tex]c > 4[/tex]

[tex]12 + c > 8[/tex]

[tex]c > -4[/tex]

Ignore negative inequalities.

So, we have:

[tex]20 > c[/tex] and [tex]c > 4[/tex]

Combine

[tex]20 > c > 4[/tex]

The above implies that the third length is between 5 and 19 (inclusive)


Pls someone help me

Answers

area of triangle = base x height over 2
triangle 1
10 x 12 = 120
120/2 = 60
triangle 2
10 x 12 = 120
120/2 = 60
triangle 3
18 x 12 = 216
216/2 = 108
triangle 4
18 x 12 = 216
216/2 = 108

add
108 + 108 + 60 + 60 = 336 square units

please help asap!!! 20 points!! 6th grade math.

Answers

Answer:

What? i can't even read it

Step-by-step explanation:

help I don't know the answer​

Answers

answer:
p = 6,000

step-by-step explanation:
I = PRT
just add in the numbers
14,400 = p0.08(30)
14,400 = 2.4p
/2.4 /2.4
6,000 = p

helppppp! how do I find this?

Answers

Answer:

y=3x-6

Step-by-step explanation:

(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.

(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.

Plugging in the two points from the graph.

Hence, y=3x-6

A boat travels 120 miles with the current down the river in less time than it takes to travel 80 miles against the current up the river. The boat makes the entire trip in 12 hours. The speed of the boat, without the current, remains constant at 20 miles per hour what is the speed of the current.

Answers

Answer:

180 miles is answer

cuz it takes 80 miled to travel in 12 hours

Answer:

The speed of the current is 10 mph

Step-by-step explanation:

x= speed of the current

[tex]\frac{80}{20-x} + \frac{120}{20+x} = 12[/tex]

80 (20+x) + 120 (20-x) = 12 (20-x) (20+x)

x=10

Help!!!
A) Mode
B) Mean
C) Median

Answers

Answer:

Median

Step-by-step explanation:

Median will be misleading  are not asking for the midd;e price they are asking for the average price in this case you will use mean to find

Enter the values for the highlighted variables to
complete the steps to find the sum:
az
b =
3x 9
+
2x - 6 6 - 2x
CE
d =
3 x
9
+
2x-6 al 2x-6)
3x b.
+
2x-6 2x - 6
3х – с
2x-6
d{x - e)
f(x-3)
= 9
e =
f=
III
g=
DONE

Answers

Answer:

a = - 1

b = - 9

c = 9

d = 3

e = 3

f = 2

g = 3/2

Step-by-step explanation:

For a;

6 - 2x = - (2x - 6)

For b;

-1 * 9 = - 9

For x ;

3x + (-9) = 3x - 9

3x - 9 = d(x - e)

Factorizing :

3(x - 3)

d = 3 ; e = 3

2x - 6 = f(x - 3)

Factorize :

2x - 6 = 2(x - 3)

3(x - 3) / 2(x - 3)

g = 3/2

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