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

6. What is the first step in financial planning?

Answers

Answer:

determining your current financial situation.

Step-by-step explanation:

Answer:

determining your current financial situation

Step-by-step explanation:

PLEASEEEEEEEEEEEEE HELPPPPPPPPPPPPPPP AM GOING TO FAIL

Answers

Answer:

2b + 10

Step-by-step explanation:

help me it’s more but i can’t post it

Answers

Answer:

( 2 x + 1 ) ( 3 x + 2)

Step-by-step explanation:

srry, i could only do the first one-

3. Eggs are shipped in large boxes that contain 20 egg cartons. Each egg carton holds 12 eggs. How many eggs are in 5 large boxes?​

Answers

Answer: Standard egg cartons have room for 10 or 12 eggs, but they can come in a variety of sizes, holding from three to 24 eggs.

Step-by-step explanation:

Answer:

20×12(12×5)

do this simplification

yo can get answer

solve the inequality please ​

Answers

Answer:

The solution is 4 >/= -21

4 is greater than or equal to negative 21

Step-by-step explanation:

7x + 4 >/= 7(x - 3)

We'll start by distributing the y7 to the items in parentheses

7x + 4 >/= 7x - 21

Subtract 7x from both sides

4 >/= -21

Help guys plzzzz I’ll part you brainlist !!!!

Answers

Answer:

> is the answer because 10 × X > 80

Okay the answer is >

I’m confused can someone help

Answers

9514 1404 393

Answer:

Landon's purchase: p +5g = 17.55Lesley's purchase: 4p +2g = 13.50pretzel: $1.80granola bar: $3.15

Step-by-step explanation:

The equation representing either purchase will multiply the number of items by their cost, for each item, and show the total as the cost of the purchase. Here, p is defined as the cost of a pretzel; g is defined as the cost of a granola bar.

Landon's purchase

 1 pretzel + 5 bars will cost 1p +5g

 That cost is 17.55, so the equation is ...

     p +5g = 17.55

Lesley's purchase

  4 pretzels + 2 gars will cost 4p +2g

  That cost is 13.50, so the equation is ...

     4p +2g = 13.50

__

To solve, you can subtract the second equation from 4 times the first:

  4(p +5g) -(4p +2g) = 4(17.55) -(13.50)

  18g = 56.70 . . . . collect terms

  g = 3.15 . . . . . . . . divide by 18

Then the cost of a pretzel can be found using the first equation.

  p + 5(3.15) = 17.55

  p = 1.80

The cost of a pretzel is $1.80; the cost of a granola bar is $3.15.

What is the measure of angle 1?

Answers

I think it’s 94 sorry if I’m wrong

Find the equation of the straight line which passes through (3,5) and makes y-inte
r-intercept.​

Answers

Answer:

Please restate your question.

It needs the y-intercept to be decipherable.

Step-by-step explanation:

Use the following number line to determine if the expressions are true or false.
A 0 B
<-------------l------------------l------------------l------------------l------------------l------------------l---------------->

true false
a > b [] []
lal > lbl [] []
a > lbl [] []

(the lines around the B and the A matter {for some reason}]
PLEASE HELP ME

Answers

Somebody said u look like da baby

Answer:

IT's a < b True /a/ =0 True /a/ < /b/ True

Step-by-step explanation:

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

Answers

Answer:

3/14

Step-by-step explanation:

275436
divisible by 11​

Answers

It’s not a perfect number to be divided by 11.

275436/11

=
rounded: 25,039.64

hope this helps

A politician claims that 20% of the millions of votes cast for his opponent are fraudulent. To test this claim, an investigator collects a random sample of 90 ballots and contacts the voters whose names appear on the ballots to determine if each ballot is in fact fraudulent. Use a normal approximation to find the probability that less than 10 of the selected ballots turn out to be fraudulent, assuming the politician's claim is correct.

Answers

Answer:

"0.0125" is the right solution.

Step-by-step explanation:

The given values are:

Random sample,

n = 90

Claims,

p = 20%

or,

  = 0.20

By using normal approximation, we get

⇒  [tex]\mu = np[/tex]

On substituting the values, we get

⇒      [tex]=90\times 0.20[/tex]

⇒      [tex]=18[/tex]

Now,

The standard deviation will be:

⇒  [tex]\sigma=\sqrt{np(1-p)}[/tex]

On putting the above given values, we get

⇒      [tex]=\sqrt{90\times 0.20\times (1-0.20)}[/tex]

⇒      [tex]=\sqrt{18\times 0.8}[/tex]

⇒      [tex]=\sqrt{14.4}[/tex]

⇒      [tex]=3.7947[/tex]

hence,

By using the continuity correction or the z-table, we get

⇒  [tex]P(x < 10) = P(x < 9.5)[/tex]

⇒  [tex]P(x < 10) = P(\frac{x-\mu}{\sigma} -\frac{9.5-18}{3.7947} )[/tex]

⇒  [tex]P(x < 10) = P(Z < -2.24)[/tex]

From table,

⇒  [tex]P(x < 10) = 0.0125[/tex]

Which inequality represents all possible solutions of -6n < -12

Answers

Answer:

The only solutions would be that the numbers HAVE to be greater than 2

Step-by-step explanation:

-6n < -12

-n < -2

n > 2

PLS HELP ME ASAP! FOR 15 POINTS AND DONT GIVE ME A LINK
Select the correct answer.
What is the solution to this system of equations?

x − 2y = 15
2x + 4y = -18

A. x = 1, y = -6

B. x = 1, y = -7

C. x = 3, y = -6

D. x = 3, y = -7

Answers

Answer:

C. x = 3, y = -6 is the answer.

Step-by-step explanation:

1. Isolate x for x = 2y = 15 -> x = 15 + 2y

2. Substitute x = 15 + 2y -> [2 (15 + 2y) + 4y = -18]

3. Simplify -> [30 + 8y = -18)

4. Isolate y for 30 + 8y = -18 -> y = -6

5. For x = 15 + 2y, substitute y = -6 -> x = 15 + 2(-6)

So, x = 3 and y = -6 are the solutions to this system of equations.

Hope this helps! :)

And also you should use Symbolab, it gives all the answers and steps

Solve the following system of equations using the elimination method.
5x + y = 9

Answers

Answer:

x= -1/5y+9/5

Step-by-step explanation:

5x+y=9

Step 1

First you need to add -y to both sides, basically subtracting y

5x+y-y= 9-y

Step 2

Divide both sides by 5, or multiply by 1/5. You want to do this because to cancel out 5, so you multiply the reciprocal, or divide the constant.

1/5*5x=-y+9/5

Then, you will get the answer

Hope this helps, sorry if it is wrong, I am just 4th grade :(

But I am sure this is correct :)

Which expressions listed on the left are equivalent to √36a^8/225a^2? Check all that apply. (Assume that a ≠ 0.)

Answers

Answer: ABE

Step-by-step explanation:

Answer: a b e

Step-by-step explanation:

Jason ran 2.8 miles yesterday and 3.4 miles today making his two day average 3.1 miles. How many kilometers does he average? Round your answer to the nearest hundredth.

a. 4.991 km
b. 4.99 km
c. 9.98 km
d. 4.51

Answers

Answer:

It’s C, 9.98 km

What is the value of the expression shown? 10 - 16:2
[tex]10 - 16 \div 2[/tex]

Answers

Divide 16 by 2 first following PEMDAS.

10 - 8

Solve

2

find the area of this parallelogram with the measurements 5.2cm and 8.4cm​

Answers

Answer:

43cm square

Step-by-step explanation:

A= bh

A=8.4cm x 5.2cm

A=43.68cmsqr

ben want to make pizza with salami He is going to make 3 pizza so he chops the salami into thirds
a) what fraction of the salami will go on the first pizza?
b)to make the first pizza he takes the first piece of salami and chops it into 15 equal slices. if he cuts all three parts the same way how many slices will there be in total
c)what fraction of the salmi goes on the pizza

Answers

Answer:

a) 1/3

b)45

Step-by-step explanation:

Answer:

a) 1/3

b)45

have a good day/night

Malik estimated that 150 people would attend a concert. The exact attendance was 215 What is his percent error, to the nearest percent? ​

Answers

Answer:

I think around 43.3%

Step-by-step explanation:

215-150

150

65

150          x 100

=43.3333333333333

Answer:

I think around 43.3%

Step-by-step explanation:

25 PTS PLEASE HELP QUICK
(not related to the question but please add thx i want friends)
OK THX THE QUESTION IS BELOW

Answers

Answer is 3
You do rise over run

Answer:

-3

Step-by-step explanation:

just plug in the points on the line into y2-y1/x2-x1

Tessellations

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)

a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)

Please select the best answer from the choices provided

Answers

Answer:

A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)

Step-by-step explanation:

I calculated it logically

Which describes how the figure below was transformed? ​

Answers

Answer: Rotation

Step-by-step explanation: This is a rotation because the figure is rotated 90°. This is not a translation because it isn't moved to a different position. This is not a reflection because it isn't mirrored. This is not a dilation because the size didn't change. Therefor, it is a Rotation, because this figure was rotated 90°

Examples are below if you still don't quite understand.

Naomi pays $1.50 each time she rides the city bus. She has already ridden the bus 18 times so far this year. The expression 1.50b+1.50(18) represents the amount of money she expects to spend on bus rides for the entire year.

What part of the expression represents the amount of money Naomi expects to spend on bus rides between now and the end of the year?

A
b

B
1.50

C
1.50b

D
1.50(18)

Answers

Answer:

D, 1.50(18)

Step-by-step explanation:

just guessing lol

I need help badly and don't send no links or you will be reported

Answers

Answer: - 3/2

Step-by-step explanation:

Use this formula to find the slope for any two given points.

(4, 3) and (6, 0)

↓   ↓            ↓  ↓

x1  y1           x2 y2

y2 - y1     0 - 3      

--------- = ---------- = -3/2

x2 - x1      6 - 4

Hope this helped! :)

P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.

Answers

Answer:

P

[tex] \alpha [/tex]

1/q²

P=k/Q²

K=P×Q²

Where P=9

Q=8

K=?

K=9×8²

K=9×64

K=573

So where K= 573

Q=3

P=?

P=K/Q²

P=573/3²

P=573/9

P=63.67

Johanna can jog 24 feet in 5 seconds. If she jogs at the same rate, how many feet can she jog in 8 seconds? PLSS help!

Answers

38.4? Since if she runs 24 feet in five seconds add that two times she would run 48 feet in ten second so.. divide 24 with 5 and get 4.8. So 48 minus 9.6 makes 38.4.

help on this question ​

Answers

Answer:

sec t = 1/(cos t) = 1/(-3/4) = -4/3

Other Questions
What is the reason water has so many special properties? Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale.Height is 11m and radius is 1.9m A. 75.449pi m3 B. 49.02pi m3 C. 41.8pi m3 D. 39.71pi m3 1. Why do you think Venture Smiths story continues to be told today? How might his storybe similar to or different from the experiences of other enslaved people?2. Venture Smith said, My freedom is a privilege which nothing else can equal. Explain in your own words what you think he meant by this. How does a computer get the server's IP and how does it know which way to the server? 1/). Help ASAP Find the area of each circle to the nearest tenth Name 4 reasons you think led to the end of the Roman Republic. explain all 4 reasonings What are the central ideas of this soliloquy? Select three options. Antony wants Caesar to forgive him for being nice to his conspirators. Antony is pleased by Caesar's death because he too saw Caesar growing strong with greed. Antony predicts that soon the land will be bloodied by men fighting men. Antony expects Caesar's ghost will eventually praise the conspirators for their bravery. Antony compares Caesar's wounds to mouths wishing to speak. Solve 5x Divide 6 = 20.The solution is x =____? I really need major help . A basket of snacks contains 8 packs of oreos, 2 bags of chips, 6 packs of gummies, and 4 granola bars. What is the probability a pack of oreos is chosen, replaced, and then a pack of gummies are selected second?PLEASE HELP MATH PROBABILITY* *(PUT IN FRACTION) PLZ Use I = PRT to find the total amount in the savings account.$1555.00 at 8% for 2 yearsPLEASE HELP ASAP there is a lot of poins pleas help meee Please i need help I will heart whoever answers. Thx how has trading affected southeast asia politically, culturally, and economically What does bile help absorb into the bloodstream? How do you write 4.789x10^7 in standard form? i think the answer is A what about yall? i know i could be wrong An investor invested a total of $2,700 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit of the investors total profit was $80 how much was invested in each mutual fund plz help me out !!Read and choose the right option.Hola, amigos! Soy Ral de Espaa. We begin the school year in September and end in June. We are off in July and August. In Spain, we have school shifts: some schools run from 9 a.m. through 5 p.m. with a two-hour lunch break; other schools may begin at 9 a.m. and end at 2 p.m., the typical lunchtime in Spain. Some schools may have only a one-hour lunch break and may or may not provide a cafeteria for children to eat at school.My friend Eloi attends a middle school in Honduras where he goes to the morning shift, but there's another shift in the afternoon. Most primary school children attend the first shift. A normal public-school day in Honduras begins at 7 a.m. and ends between 1 p.m. and 4 p.m. In Honduras, the school year runs from February to November, with a vacation during December and January.Source: https://www.scholaro.com/pro/countries/honduras/education-systemBased on the reading, what is one difference between schools in Spain and Honduras? The number of months off The lunch options in schools The months that school is in session. The number of school sessions My story is The Boy in the Striped Pajamas Use the text and your analysis to prepare two interpretive or evaluative discussion questions, then identify the type of question you have created. Question Is your question interpretive or evaluative? 1. 2.