A motorboat maintained a constant speed of 16 miles per hour relative to the water in going 55 miles upstream and then retuming. The total time for the tip was 8.0 hours. Use this information to find the speed of the current.​

Answers

Answer 1

Answer:

6 mph

Step-by-step explanation:

Let the speed of the current be c

Time upstream is

55/(16 + c)

Time downstream is

55/(16 - c)

Total time is 8 hours

55/(16 + c) + 55/(16 - c) = 855(16 -c + 16 + c)/(16 + c)(16 - c) = 855*32= 8*(16² - c²)220 = 256 - c²c² = 36c = 6 mph


Related Questions

HELP! WILL MARK BRAINLIEST, PAST DUE!!!

Answers

Answer:

1/2 and - 1/2

Step-by-step explanation:

umm ok so for slope you do m = y2-y1/ x2-x1 which can probably be any point since they havent specified so we will do

A)   L (-8,8) and (0,4)M

m= 4-8/0-8

=-4/-8

=  1/2

B ) now for b its asking for the certain points of

n and p

(4,2) N and (8,0) P

m= y2-y1/x2-x1 = 0-2/8-4= -2/4 = - 1/2 for ur slope

these should be right.

what is 30% as a fraction in simplest form.

Answers

Answer:

3/10

Step-by-step explanation:

3/10

In simplest form, 30% as a fraction is 3/10. We know that 30% = 30/100

Write an expression
You charge $10.50 per hour to babysit and you spent $15 on
candy.

Answers

Answer:

10.50x + 15 = y

Step-by-step explanation:

x = amount of hours spent babysitting.

y = total amount of money.

Please help! ! ! ! !

Answers

B is the answer how you do good

Mandy makes beaded bracelets and sells them for $5 each. If she sells the bracelets for 250% of the cost of her materials, how much does each bracelet cost to make?

Each bracelet costs $
to make.

Answers

Answer:

Each bracelet cost $2 to make.

Step-by-step explanation:

I did the assignment.

Answer:

$2

Step-by-step explanation:

(Brainliest plz) if im right

Use the Distributive Property to expand the expression you obtained in part B.

The expression is 2(100 − x).

Answers

Answer:

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

Answer:

2(100 − x)

Distribute the 2:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

Mark me brainliest please?

The gas tank in sampson car has a capacity of 19.1 gallons . on a Tripp to see his cousin , Sampson begins with 12.8 gallons if gas in the tank he stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons. When sampson arrives at his cousins house he has 3.7 gallons of gas left. How much gas , did sampson use on his trip

Answers

Answer:

23.5 gallons

Step-by-step explanation:

The gas tank in Daniel's car has a capacity of 19.1 gallons.  

On a trip to see his best friend Daniel begins with 12.8 gallons of gas in the tank.  

He stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons.  

When Daniel arrives at his friend's house, he has 3.7 gallons of gas left.  

Total amount of gas filled was (12.8 + 14.4) = 27.2 gallons.

The amount of gas remaining after the trip was 3.7 gallons

The amount of gas, in gallons, used by Daniel on his trip was 27.2 - 3.7 = 23.5 gallons

Answer:

fat nuts

Step-by-step explanation:

i forgor

A sporting goods store has 4 catchers mitts, 28 baseball gloves , 52 bats and 96 baseball in stock. What is the ratio of baseballs to baseball gloves

Answers

96:28

96 baseballs to 28 baseball gloves

(3x - 2)
(10x - 11)
(3x + 1)
Solve for the value of x.

Answers

Answer:

1. 2/3

2. 11/10

3. 1/3

hope it helps

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13

11

Answers

Answer:

use a2+b2=c2 so

Step-by-step explanation:

11(squared)+b(squared)=13(squared)

=121+b2=169

-121. -121

b2= 48

square root 48

Side B= 6.928

and then just round 6.928

hope this helped

Using the Pythagorean Theorem, it is found that the side length is of x = 6.93.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem, we have that:

[tex]h = 13, l_1 = 11, l_2 = x[/tex]

Hence, applying the Theorem:

[tex]h^2 = l_1^2 + l_2^2[/tex]

[tex]13^2 = 11^2 + x^2[/tex]

[tex]x^2 = 169 - 121[/tex]

[tex]x = \sqrt{48}[/tex]

x = 6.93.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675

#SPJ2

help me how do I solve 2(m+3) =22​

Answers

Answer:

m = 8

22/2 = 11

11 - 3 = 8

m = 8

Solve the equation using square roots.
2(x + 1)2 - 7 = 25
solution: x=

Answers

x=7

I'm sorry if I'm wrong


PLEASE HELP ASAP
Which criteria can be used to prove triangles are congruent? Select all that apply.
A.) ASA
B.) AAS
C.) SAS
D.) SSA
E.) HL

Answers

Answer:

A, B, C, and E

Step-by-step explanation:

SSA doesn't work because this leaves room for two possible answers in some situations.

The other postulate, HL (hypotenuse-leg) works for right triangles; it's basically a short cut for SSS postulate because if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg on another, the other side also has to be congruent.

The criteria can be used to prove triangles are congruent: ASA, AAS, SAS and HL.

What is Congruence in Triangles?

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

Two triangles are said to be congruent if they are of the same size and same shape.

Necessarily, not all the six corresponding elements of both the triangles must be found to determine that they are congruent.

Based on studies and experiments, there are 5 conditions for two triangles to be congruent.

They are SSS, SAS, ASA, AAS, and RHS congruence properties.

The postulate, known as HL (hypotenuse-leg), is applicable to right triangles.

As if a right triangle's hypotenuse and leg are congruent with those of another, then the other side must likewise be congruent.

Learn more about congruence of triangles here:

https://brainly.com/question/20521780

#SPJ5


Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?

Answers

9514 1404 393

Answer:

domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line test

Step-by-step explanation:

The domain is the list of x-values of the points on the graph. It is ...

  {-5, -4, 2, 5}

The range is the list of y-values of the points on the graph. It is ...

  {-6, 1, 3, 4, 5}

__

Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.

If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.

HELPPPP! ILL GIVE YOU BRAINLIEST!

Answers

Answer:Can you put the question?? Thank You

Step-by-step explanation:

Answer:

what can i help with?

Step-by-step explanation:

what is the measure of ABC?

Answers

Answer:

ABC = 55°

Step-by-step explanation:

Angle A plus Angle C equals Angles B.

Add them together then subtract from 180°.

68/125 Write a fraction as an equivalent fraction with a power of 10 in the denominator.Then write the fraction as a decimal

Answers

Answer:

[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]

Step-by-step explanation:

[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]

1. Andrew went to FYE to buy music for the band. He spent a total of $112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for $3. How much did Andrew pay for each music CD and each cassette tape? Enter your one-sentence interpretation in the space below.​

Answers

Answer:

Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100

Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12

Step-by-step explanation:

Given that:

Total money spent = $112

Number of music purchases = 14

Cost of one Music CD = $10

Cost of one cassette = $3

To find:

How much money was paid for each music CD and each cassette.

Solution:

Let the number of Music CDs purchased = [tex]x[/tex]

Money spent on Music CDs = [tex]\$10\times x[/tex]

Then the number of cassette tapes purchased = [tex]14-x[/tex]

Money spent on cassette tapes = [tex]\$3\times (14-x)[/tex]

As per the question statement:

[tex]10x+3(14-x)=112\\\Rightarrow 10x+42-3x=112\\\Rightarrow 7x=112-42\\\Rightarrow 7x=70\\\Rightarrow x =10[/tex]

Therefore, number of Music CDs purchased = 10

Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100

And number of cassette tapes purchased = 14 - 10 = 4

Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12

help!!
3x+6x+14=41
Solving Multi-Step Equations by Combining Like Terms

Answers

Answer:

x = 3

Step-by-step explanation:

Given

3x + 6x + 14 = 41, that is

9x + 14 = 41 ( subtract 14 from both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Answer:

x=3

Step-by-step explanation:

3x+6x+14=41

9x + 14 = 41

    - 14 = - 14

9x = 27

x=3

PLEASE HELP 30 POINTS...PLEASE HELP PLEASE

Answers

Answer:

u haven't attached anything

but if u need any help ask the question again or put it in the comments

ur welcome

Answer:

free points

Step-by-step explanation:

Only number 12 plz I’ll give brainliest(ASAP)

Answers

Answer:

120 m/h

120 m/(3600 seconds)

(1/3)m/s

15 * (1/3) = 5

He travels 5 miles in 15 seconds

Step-by-step explanation:

The atomic number of an element B is 17. The number of electrons in its ion B will be:
(a) 17 (b) 18. (c) 19. (d) 20.
answer with explanation

Answers

Answer:

18

Step-by-step explanation:

don't step answer. Because I am lol

You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2 gallons of gasoline. Another car is red. It can travel 25 3/5 on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon of​ gasoline?

Answers

Question:

You are running a fuel economy study. One of the cars you find is blue. It can travel [tex]44\frac{1}{2}[/tex] miles on [tex]1\frac{1}{4}[/tex] gallons of gasoline.

Another car is red. It can travel [tex]25\frac{3}{5}[/tex] on [tex]\frac{4}{5}[/tex] gallon of gasoline.

What is the unit rate for miles per gallon for each​ car?

Which car could travel the greater distance on 1 gallon of​ gasoline?

Answer:

(a)

[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]

[tex]Rate = 32\ miles\ per\ gallon[/tex]

(b)

The blue car will travel faster

Step-by-step explanation:

Given

Blue Car:

[tex]Distance = 44\frac{1}{2}\ miles[/tex]

[tex]Gasoline = 1\frac{1}{4}\ gallons[/tex]

Red Car

[tex]Distance = 25\frac{3}{5}\ miles[/tex]

[tex]Gasoline = \frac{4}{5}\ gallons[/tex]

Solving (a):

This is solved by dividing the distance travelled by the amount of gasoline.

i.e.

[tex]Rate = Distance/Gasoline[/tex]

Blue Car:

[tex]Rate = 44\frac{1}{2} / 1\frac{1}{4}[/tex]

[tex]Rate = \frac{89}{2} / \frac{5}{4}[/tex]

[tex]Rate = \frac{89}{2} * \frac{4}{5}[/tex]

[tex]Rate = \frac{89}{1} * \frac{2}{5}[/tex]

[tex]Rate = \frac{89 * 2}{1 * 5}[/tex]

[tex]Rate = \frac{178}{5}[/tex]

[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]

Red Car:

[tex]Rate = 25\frac{3}{5}/\frac{4}{5}[/tex]

[tex]Rate = \frac{128}{5}/\frac{4}{5}[/tex]

[tex]Rate = \frac{128}{5} * \frac{5}{4}[/tex]

[tex]Rate = \frac{128 * 5}{5 * 4}[/tex]

[tex]Rate = \frac{128}{4}[/tex]

[tex]Rate = 32\ miles\ per\ gallon[/tex]

(b)

In (a), we have:

[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex] --- Blue Car

[tex]Rate = 32\ miles\ per\ gallon[/tex] --- Red Car

By comparison:

The rate of the blue car is greater than that of the red

Hence, the blue car will travel faster

The product of 3 x is less than 9

Answers

3x-9 would equal 3(x-3) because you factor the 3 out of the 9.

Notebooks cost $1.39 each. What are the possible numbers of notebooks that can be purchased with $10

Answers

Answer:

7

Step-by-step explanation:

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

7 notebooks

Step-by-step explanation:

The total for the nine will be 9.73 I’d you get 8 notebooks it will be 11.12 with us too much.

please help! due soon :(

Answers

Answer:

60 degrees. Aaaaaaaaaa

please help me please

Answers

Answer:

42

Step-by-step explanation:

4x + 2 = 1/2 (4x + 44)                Be careful how you do this. I have multiplied both sides by 2

2(4x + 2) = 4x + 44                    Remove the brackets (distributive)

8x + 4 = 4x + 44                        Subtract 4x from both sides

8x-4x + 4 = 44                          

4x + 4 = 44                                Subtract 4 from both sides

4x + 4-4 = 44-4

4x = 40                                       Divide by 4

4x/4 = 40/4

x = 10

The mid line is 4x + 2

The mid line is 4*10 + 2

The mid line is 40 + 2

The mid line is 42

The base is 4x + 44

The base is 4*10 + 44

The base is 40 + 44 = 84 which is twice the midline. I did this just to show it is twice as big as the midline.

This table represents a linear function. Find the missing values to complete the table.

Answers

Answer:

(2,5) and (7,12.5)

Step-by-step explanation:

Solve for change in y over change in x using the points (3,13/2) and (6,11). You can then get the equation y=1.5x+2. Then plug in the values you are given from the missing points using the equation. Hope this helped! If it did, please mark the brainliest.

What is 254−−√+524−−√ in simplified radical form?


Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

2√54+5√24

2 * sqrt(9*6) + 5*sqrt(4*6)

2*sqrt(9) *sqrt(6) + 5*sqrt(4) * sqrt(6)

2*3 sqrt(6) + 5*2 sqrt(6)

6sqrt(6)+10sqrt(6)

16sqrt(6)

Answer:

16sqrt(6)

Step-by-step explanation:

A scale drawing of a rectangular flag is 12 inches long and 8 inches wide. If the scale is 1 inch: 2.4 feet, what is the length and width of the actual flag?

Answers

Answer: length = 28.80 feet

Width = 19.20 feet

Step-by-step explanation:

Scale used = 1 inch:2.4 feet

Length or scale drawing = 12 inches

Width of scale drawing = 8 inches

Length of actual flag = (12 × 2.4 feet) = 28.80 feet

Width of actual flag = (8 × 2.4 feet) = 19.20 feet.

Answer:Answer: length = 28.80 feet

Width = 19.20 feet

Step-by-step explanation

Scale used = 1 inch:2.4 feet

Length or scale drawing = 12 inches

Width of scale drawing = 8 inches

Length of actual flag = (12 × 2.4 feet) = 28.80 feet

Width of actual flag = (8 × 2.4 feet) = 19.20 feet.

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