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 1

Answer:

180 miles is answer

cuz it takes 80 miled to travel in 12 hours

Answer 2

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


Related Questions

It was estimated that 650 people would attend bowling night, but 676 people actually attended.
What is the percent error, to the nearest percent of the estimate? Enter the answer in the box.

Answers

Simply divide 650/676=.9615 or 96.15%. So there was 3.85% error

The estimate's percent error is 4%, to the closest percentage.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Find the difference between the estimate and the actual value:

Actual value - Estimated value = 676 - 650 = 26

The absolute value of the difference is 26, indicating that the actual value exceeded the estimated value.

Next, we need to find the relative error, which is the difference divided by the estimated value:

Relative error = Difference / Estimated value = 26 / 650

Finally, we can convert the relative error to a percentage by multiplying it by 100:

Percent error = Relative error x 100 = 26 / 650 x 100 ≈ 4

Therefore, the percent error, to the nearest percent, of the estimate is 4%.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ2

please answer this question​

Answers

itss 11

Step-by-step explanation:

no worries about it is the same time for me

Explain how to graph the following including asymptotes and key features. f(x)=3^x+2

Answers

Answer:

y=2

Step-by-step explanation:

Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.

Answers

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Or

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

522 m^2

Step-by-step explanation:

I've circles the numbers that you actually need to solve this problem.

First, find the area of the bigger rectangle by multiplying the length and width.

24*21=504

Then find the area of the smaller rectangle the same way

3*6=18

then add them to get the total area

504+18=522

522 m^2

2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.

Answers

Answer:

No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.

Step-by-step explanation:

So we already know that 1 surving of soup is 275 milliliters.

We have 6 survings of this soup.

We need to see if these 6 servings will fit in a 1.5 liter jar.

To find the total amount of mililers, we must multipy this by 6:

275*6

=

1650

Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:

1650/1000

=

1.65

This number is greater than 1.5 liters, which is how much soup the jar can store.

So the answer is no, the 6 servings of soup cannot fit in the jar.

Which best describes the numbers satisfying the inequality x less-than 7?
A all numbers greater than 7
B all numbers less than 7
C all numbers greater than and including 7
D all numbers less than and including 7

Answers

Answer:

B   all numbers less than 7

Step-by-step explanation:

x < 7

B all numbers less than 7

----------------------

< is less than

≤ is less than or equal

> is greater than

≥ is greater than or equal

Answer:

b XD

Step-by-step explanation:

a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?​

Answers

Answer:

1080 cheeseburgers

Step-by-step explanation:

If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080

I do not know what to do with the Sunday information, so perhaps the question is not complete.

Hope this helps!

Solve: 10(0.5x- 2) = -3x + 20 + 8x

Answers

Answer: no solution

Step-by-step explanation:

Answer:

10 × 0.5 x = 5x

10 × -2 = - 20

(5x-(-20)) = 5x + 20

-3x + 8x + 20 = 5x + 20

the amount of gas used by a household is shown in the table. what is the slope of the data from the table

Answers

Answer. i cant answer this without a pic of the slope

Step-by-step explanation:

There is no picture provided

4. Solve the logarithmic equation for X:
log(x) -log(4) = 3

Answers

Answer:

X=7

Step-by-step explanation:

Convert. 2/3and 4/6 into like fraction

Answers

Answer:

Answer given below

Step-by-step explanation:

When we calculate the LCM, you get it as 6.

So both the fractions should have a denominator 6.

For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.

When we convert to like fraction, 2/3 becomes 4/6.

Now both the fractions have common denominator

Hope it helps.

The meaning of like is same and unlike means different. So to make it a like fraction the denominator needs to be the same 2 x 2= 4 3 x 3=6 = 4/6

The area of a rectangular shaped pool is 64 squared meters. The width is 9 meters. Write and solve an equation to determine the length of the pool. Show work.

Answers

Answer:

7.11

Step-by-step explanation: Area=lengthxwdth

64=lengthx9

64/9=length

7.11=length

A parabola y=x^2 is what type of function?

an even function
an odd function
an asymmetric function
a one to one function

Answers

Step-by-step explanation:

The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.

A golden rectangle has a length of 5 cm. Find the area of the rectangle to the nearest square centimeter.

Answers

Answer: is it 25? i am bad at math but i am guessign

Step-by-step explanation:

Ms. Silvia earns $3 every time she sells a cupcake. If she earns $15, how many cupcakes did she sell?

Answers

Answer:

Okay very easy, The answer is: She sold 5 cupcakes.

Step-by-step explanation:

She sold 5 cupcakes

Because if you add 3 till you get to 15 you get 5

Help please !!!!!!!!!!!!!!!!!!

Answers

Answer:

n = 59

Step-by-step explanation:

There's definitely a better way, i just did math randomly but here goes:

First i squared both sides. which gets you:

[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]

Cleaning this up gives you:

[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]

Now move everything to the other side so we can square this equation again

[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]

Divide both sides by -2

[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]

square again

[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]

subtract n^2 from both sides, add 6n, and add 50

[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]

Put this back into the equation and you get a correct answer!

sqrt(59 + 5) = sqrt(64) = 8

sqrt(59-10) = sqrt(49) = 7

8 - 7 = 1

Consider the salt shaker shown.

5 cm

cm

What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.

Volume of Salt Shaker =

Answers

Answer:

Volume of salt shaker  = 42.4 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of salt shaker = 5 cm

Diameter of salt shaker = 3 cm

Find:

Volume of salt shaker

Computation:

Radius of salt shaker = Diameter of salt shaker / 2

Radius of salt shaker  = 3 / 2

Radius of salt shaker = 1.5 cm

Volume of salt shaker  = Volume of cylinder + Volume of Hemisphere

Volume of salt shaker  = πr²h + (2/3)πr³

Volume of salt shaker  = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³

Volume of salt shaker  = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)

Volume of salt shaker  = 35.325 + 7.068

Volume of salt shaker  = 42.4 cm³ (Approx.)

Write an algebraic expression for each word expression.

A number, n, divided by 9

Answers

Answer:

n/9

Step-by-step explanation:

Answer:

n/9

Step-by-step explanation:

Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.

Answers

Answer:

SA = 56 sq mi

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

SA = 16 + 1/2(16)(5)

SA = 16 + 8(5)

SA = 16 + 40

Solve for the value of a

Answers

Answer:

a= 90 i think

hope this helped

The ___________ of a numerical set of data is the value that occurs most frequently.

Answers

The median is the answer

An object travels 8 miles in 20 minutes at a constant speed. What is the object's
speed in miles per hour?
A. 32
B. 28
O
C. 24
us
NE
US
An object travels 8 miles in 20 minutes what is the objects speed in miles per hour

Answers

It would be 24 miles per hour

You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place

Answers

Answer:

The answer is 4

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZ

Answer:

4

:P

Step-by-step explanation:

which measurement is closest to the area of the shaded region in square inches

Answers

The answer is 19 need any work?

I need the answers for this question please

Answers

its triangle and 7.3 and 23.7 hope this helps

Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.

If she spent $36 in all, what was the original cost of a shirt?

Answers

Answer:

OMG

Step-by-step explanation:

I had the same question

Answer:

$10.79

Step-by-step explanation:

x =  original cost of one t shirt

We can build this equation

x - (20/100) x + 3x- 5 = 36

-1/5x + 4x = 41

-x + 20x = 205

19x  = 205

x = $10.79


72% of what number is 144? Answer please

Answers

Answer:

103.68

Step-by-step explanation:

Answer:

103.68

To solve you would convert the percent to decimal form .72.

Then divide by 144

.72/144=103.68

your answer is 103.68

If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?

Answers

Answer:

A = $3,526.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = [tex]\frac{R}{100}[/tex]

r = [tex]\frac{3.5}{100}[/tex]

r = 0.035 rate per year,

Then solve the equation for A

A = P(1 + [tex]\frac{r}{n}[/tex])nt

A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)

A = 2,500.00(1 + 0.035)(10)

A = $3,526.50

Hence:

The total amount of over 10 years is $3,526.50.

What is the greatest common factor (GCF) of 24 and 40?

Answers

Question:

What is the greatest common factor (GCF) of 24 and 40?

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40=2×2×2×5

24=2×2×2×3 then we take the common 2×2×2=8

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