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

Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary. x = in. y ≈ ° z ≈ ° A right triangle is shown. The hypotenuse has a length of x. The other 2 sides have lengths of 24 inches and 7 inches. The angle opposite to the side with length 7 inches is y, and the angle opposite to the side with length 24 inches is z.

Answers

9514 1404 393

Answer:

x = 25y = 16.3°z = 73.7°

Step-by-step explanation:

The length of the hypotenuse can be found using the Pythagorean theorem:

  x² = 7² +24² = 49 +576 = 625

  x = √625 = 25

__

The angles can be found from the sine relation.

  Sin = Opposite/Hypotenuse

  sin(y) = 7/25

  y = arcsin(7/25) ≈ 16.3°

The acute angles in a right triangle are complementary, so ...

  z = 90° -16.3° = 73.7°

Answer:

x = 25 in.

y ≈ 16.3 degrees

z ≈ 73.7 degrees

Step-by-step explanation:

which data set could not be represent by the box plot shown

Answers

Answer:

Mean, and the Mode

Step-by-step explanation:

the things it can represent are

Minimum: 4

Maximum: 14

First Quartile: 7

Second Quartile: 9

Third Quartile: 12

Median: 7.5

Use the graph of the exponential function to answer the following question.
1 x)
21
2
-2
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
A. The range is all real numbers.
B. f(x) is positive for all x-values less than 1.
C. As x increases, f(x) approaches, but never reaches, -1.
D. The x-intercept is 2.

Answers

B. F(x) is positive for all x-values less than 1

Question 2 of 5
✓25 =
O A. 10
B. 6
C. 4
D. 5

Answers

Answer:

The answer would be : D. 5

D or 5 is the answer

NEED HELP WITH THIS please

Answers

Answer:

Step-by-step explanation:

this is A
……………………………..

According to the graph, the __________________ is 57-43.

Answers

Answer:

Range

Step-by-step explanation:

The range is the max value minus the min value

Solve the equation 8-2x=-8x+14

Answers

Answer:

x= -3/5

Step-by-step explanation:

Which statement about 12 multiplied by 5/4 must be true?
•The product is greater than 12.

•The product is less than 5/4.

•The product is equal to 12 multiplied by the reciprocal of 5/4.
•The product is less than 12.

Answers

Answer:

The answer is A. The product is greater than 12

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.

Expand (x-2)^2 in polynomial form

Answers

Answer:

x^2 -4x +4

Step-by-step explanation:

(x-2)(x-2)

x^2 -2x -2x +4

x^2 -4x +4

What are the other side lengths of the triangle?

Answers

9514 1404 393

Answer:

  24, 26

Step-by-step explanation:

The shortest side of the given triangle is 10 units, so the similar triangle is larger by a factor of 20/10 = 2. The other two sides of the similar triangle are both 2 times the other two sides of the given triangle:

  2×12 = 24

  2×13 = 26

The other side lengths are 24 and 26 units.

You deposit $300 in an account that pays 1.48% annual interest. What is the balance after 1 year if the interest is compounded daily?

A. $368.57
B. $304,47
C. $301.48
D. $301.01

Answers

the answer to this is C

Answer:C. $301.48

Step-by-step explanation:

Find the area in square inches. <3

Answers

To find the area of a triangle you are supposed to use the formula:

1/2 x b x h

So we know the height and base is 9 and 12:

1/2 x 9 x 12

Multiply the newly made equation and you get:

54


Have an awesome day <3

3^4 + 3 • 5 =
(Input only whole numbers.)
Numerical Answers Expected!

Answers

Answer:

To write 3/4 as a fraction with a common denominator, multiply by 5/5

.

3/4⋅5/5+3/5

To write 3/5

as a fraction with a common denominator, multiply by 4/4

.

3/4⋅5/5+3/5⋅4/4

Write each expression with a common denominator of 20

, by multiplying each by an appropriate factor of 1

.

Tap for more steps...

3⋅52/0+3⋅42/0

Combine the numerators over the common denominator.

3⋅5+3⋅420

Simplify the numerator.

Step-by-step explanation:

If two angles are supplementary and one angle is xº what is the measure of the other angle?

Answers

Answer:

Supplementary angles are equal to 180 so whatever number is on one angle the number subract that number with 180 and then you have answer for x

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

i give points for answer that sounds like a good reward

Answers

Answer:

6(x+3)=24

x represents the price of one ticket

x = 1

You can figure out the last part

Step-by-step explanation:

The x represents the price of one ticket because you are paying for 6 tickets and 6 - $3 snacks

6(x+3) = 24

x+3 = 4

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

I neeed help on thesse last two my test ends in 3 min help

Answers

Answer:

cjones8806

Virtuoso

38 answers

183 people helped  

i need points sorry I cant help

Step-by-step explanation:

green box?

(srry if it isn't correct, but that's what I got!!)

rlly sorry

i hsve two questions, Matt is making a picture frame from a piece of wood trim that is 27 8 278 feet long. How can Matt rename the fraction as a mixed number?

and
Use comparative relational thinking to find the unknown number.


116
+
58
=
135
+
n
n
=
31
n is equal to 31

n
=
33
n is equal to 33

n
=
39
n is equal to 39

n
=
174

Answers

Answer:

Step-by-step explanation:

Pls need help Giving brainlest to the right anwser!!!

Answers

Answer:

1/6 or 3p = 1/2

Step-by-step explanation:

1/2 = 3p is the equation

So we need to divide 1/2 by 3 in order to get p

1/2/3 = 1/6

1/6 is p

3p = 1/2

The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.

Answers

Complete question :

The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples are surveyed to collect the hours per week the husband spends on child care. The sample mean is 7.0 hours per week, and the sample standard deviation is 2.4276 hours per week. Use Excel to answer the following questions. a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Time in your area? b. What is the test statistics of the population mean? c. Using a .05 level of significance, what are the critical values? d. What is your conclusion?

Answer:

H0 : μ = 6.4

H1 : μ ≠ 6.4

Test statistic = - 1.563

Critical value = ±2.023

Fail to reject the null ; there is no significant evidence to support the claim that mean number of hours spent differs

Step-by-step explanation:

H0 : μ = 6.4

H1 : μ ≠ 6.4

Test statistic, Z :

(Xbar - μ) / (s/√n)

(6.4 - 7) / (2.4276/√40)

-0.6 / 0.3838372

T= -1.563

α = 0.05 ; df = n - 1 = 40 - 1 = 39

Critical value(0.05, 39) = ±2.023

|T| > +Tcritical ; Reject the Null

Since |T| < +Tcritical ; then we fail to reject the Null, hence, we conclude that there is no significant evidence to support the claim that mean number of hours spent by married men in child care differs.

any help please .. using the last of my points for this :/

Answers

1. Exponential would be the best option to model the data because of the large increase. It would be more difficult to model it linear because the linear values would jump from 10 to 34 to 91 etc. there is a no correlation between them.
2. We can tell which function is the best based on the y values and x values. Especially with key words like double or triple we know that’s it going to be exponential. Linear would be like if we were presenting a graph for tickets and prices which is a straight line with increasing x and y values and the rate of change is constant.
Exponential usually have a consistent multiplier so it won’t be the same but there will be a pattern.
3. 4 data points would be 1,2,3,4 for x values and for y (2,4,6,8). I set up the data to be constant the x values are adding by 1 and the y values are added by 2. If we were graphing this it would obviously be a straight line.

Relationship in Figures

Fill in the blank:

If two triangles are in perspective, then the intersection points of corresponding sides of the two triangles will be ________.

a. coplanar
b. collinear
c. coangular
d. coagulate

Please select the best answer from the choices provided

Answers

Answer:

B. Collinear

Step-by-step explanation:

I calculated logically

3. The parallelogram which measure 15 cm by 25 cm and a square have the same
perimeter. What is the length of one side of the square?

answer pls i follow and like and rate​

Answers

Answer:

20 cm

Step-by-step explanation:

perimeter is found by add ing all sides, so 15+15+25+25 = 80

All sides of the square are equal so you divide the sum (80) by 4 which equals 20.

Answer:

20 cm

explanation: I think

Sana makatulong

pls answer ill mark brainlist in the screenie

Answers

Answer:

the green socks are cheaper than the orange

Step-by-step explanation:

common maths

Answer:

Green socks graph: 3-5, 6-10, 9-15, 12-20, 15-25

Orange socks graph: 5-9, 10-18, 15-27, 20-36, 25-45

Green socks are cheaper

Step-by-step explanation:

HELP FILE IS BELOW MATH QUESTION ABOUT ANGLES

Answers

Answer:

A

Step-by-step explanation:

In image

l

v

it took 5 hours to mow 6 yards. at the rate, how many yards can be mowed in 20 hours

Answers

Answer:

24 yards

Step-by-step explanation:

Given: 5 hours to mow 6 yards.

To find: At the same rate, how many yards can be mowed in 20 hours?

Solution: There are lots of different ways of solving this but I will show you setting up fractions to know how much 5 hours are for 6 yards let "x" be the variable

Step 1: Multiply all terms by the same value to eliminate fraction denominators

[tex]\frac{6}{5} = \frac{x}{20} \\\\20*\frac{6}{5} = 20 * \frac{x}{20}[/tex]

Step 2: Cancel multiplied terms that are in the denominator

[tex]20*\frac{6}{5} = 20 * \frac{x}{20}\\\\20 * \frac{6}{5} = x[/tex]

Step 3: Multiply the numbers

[tex]20 * \frac{6}{5} = x\\\\24 = x[/tex]

Step 4: Move the variable to the left

[tex]24 = x\\\\x = 24[/tex]

Therefore, 24 yards can be mowed in 20 hours.

I need help wants 13x+2y-10-7y (you have to simplify it)

Answers

Answer:

13x-5y-10

Step-by-step explanation:

Evaluate:
2451(4n + 9) = [ ? ]
Please help

Answers

Answer:

4545

Step-by-step explanation:

I used a spreadsheet to calculate the value....

n                               Sum

1        4n+9     13        13

2       4n+9     17        30

3       4n+9     21        51

.                                   .

.                                   .

.                                   .

44    4n+9     185        4356

45    4n+9     189        4545

I really need major help .

Answers

Answer:

Step-by-step explanation:

A)

exponential ,  b/c it curves upwards

B)

a linear graph with have a constant number of growth, and an exponential, needs that number to change, so that's why the exponent is required.

C)

Maybe a temperature function that could follow the outdoor temp over a few hour period , say in the morning.. as the temp goes up in a linear fashion.

maybe the temp at 8 am would be 50  then at 9 it would be 55 and at 10 it would be 60 and at 11 it could be 65  , something like that seems like it would be a good working example of a linear function that was not chosen

Other Questions
Answer plz, timed test What does the reference to the United States' ,begin emphasis,centennial,end emphasis, help the reader understand about the creation of Yellowstone National Park?1. Yellowstone National Park was established as a way of celebrating the hundredth anniversary of the United States.2.People had lived in the Yellowstone area of the United States for almost 100 years before it became the world's first national park.3.Other nations would follow the example set by the United States and establish their own national parks on their hundredth anniversaries.4. The United States government had the vision to create the world's first national park, even though the country was less than 100 years old. Hi it wont let me say hi cause its not 20 characters long so I gotta keep writing till its this long!! 1. Sandra is trying to determine the height of a light pole at the corner of the block onwhich she lives. The shadow cast by the light pole is 5 feet.If the angle of elevation from the sidewalk to the top of the light pole is representedas e, which equation could be used to find the height of the light pole? Who is my dad? Please help In the Month of March, Chester received orders of 195 units at a price of $15.00 for their product Creak, and in April receives an order for 49 units of their product Creak at $15.00. Chester uses the accrual method of accounting and offers 30 day credit terms. Chester delivers 0 units in March, 195 units in April and 49 units in May. They received payment for 195 units in April, and payment for 49 units in May. How much revenue is recognized on the March income statement from this order See above to see question PLZZZZZZZZZZZZZZ HELP ME WITH THIS The weight of an object is measured by an equal arm balance. True False Changed Question 1 with 1 blankEn qu piso est la cafetera? Est en el primer piso. changed Question 2 with 1 blankEn qu piso est el restaurante Vistas? You answered(blank) changed Question 3 with 1 blankEn qu piso est el gimnasio? Est en el tercer piso. changed Question 4 with 1 blankEn qu piso est la habitacin cuarenta y nueve? You answered(blank) changed Question 5 with 1 blankEn qu piso est la biblioteca? Est en el quinto piso. Calculate the concentration of NO2NO2 in an equilibrium mixture given that the concentration of N2O4=0.200MN2O4=0.200M and Keq=67.3Keq=67.3 for the reaction: 2NO2(g)N2O4(g)2NO2(g)N2O4(g). Calculate the concentration of in an equilibrium mixture given that the concentration of and for the reaction: . 18.3 M 0.00297 M 337 M 0.0545 M none of the above A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams. A confidence interval of 173.8 mg < < 196.2 mg is constructed for the true mean cholesterol content of all such eggs. It was assumed that the population has a normal distribution. What confidence level does this interval represent? Please help What is the value of x. Look at picture. A student measured the pH of his soda and found it to be 4.5. Calculate the [H3O+] in the soda. What action did Ida Tarbell takein order to address problems insociety? Consider the possible cross-sections of a square pyramid, a rectangular pyramid, and a cube.Which of the following statements are true?Choose both answers.Geometry Please help asap I will give branless What is product of 3x-4 an 5x^2-2x+6 help me please, please, please 4log(2) x + log(2)5 = log(2)405 Please please help me please please help please please