A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.

Answers

Answer 1

Answer:

32km

Step-by-step explanation:


Related Questions

A sphere has a radius of 6 centimeters.

Find the surface area of the sphere.

PLS HELP I'LL GIVE A LOT OF POINTS

Answers

Answer:

A sphere with a radius of 6 cm will have a surface area of about 452.39

Step-by-step explanation:

Answer: 452.39 cm^2.

SA = 4πr^2 = 4π(6)^2 ≅ 452.39 cm^2.

∴ the surface area of the sphere is around 452.39 cm^2.

is 600 : 450 and 4 : 3 equivalent

Answers

Answer:

Yes

Step-by-step explanation:

600/150=4

450/150=3

In two hours, Christopher can read 150 pages. At this rate, how many pages can Christopher read in three hours?

WILL RECIEVE BRAINLIST AND EXTRA POINTS

Answers

I guess the answer would be 225 if you do 150 divided by 2 it would be 75 and 75 x 3 would equal 225 so I think that’s your answer.

What is the value of j

Answers

the value of j is 66 degrees

180- 82= 98
98 - 32 = 66

So it’s 66

There are four blue marbles and 6 red marbles. What is the ratio of blue marbles to red marbles. Write the ratio in simplest form

Answers

Answer:

2:3

Step-by-step explanation:

2 is the greatest common factor, so divide both 4 and 6 by 2, which should result as 2:3.

hope this helps :)

Dexter rode his bike 2 kilometers. Then, he walked 955 meters more to go fishing. How many total meters did Dexter travel to go fishing?

Answers

Answer:

The Answer is 2955.

Step-by-step explanation:

First convert 2 km to meters. 1 km = 1,000 meters. So, 2 km = 2x1,000. Dexter walked 955 meters. We can add to find out how far he traveled all together. 2,000+955=2,955 meters. Dexter traveled a total of 2,955 meters to fishing.

Answer:

2955

Step-by-step explanation:

18. Leonardo lives in a 10-storey apartment
building. The building is 121 m tall.
All the storeys have the same height.
How high is each storey?

Answers

Answer:

12.1 m tall

Step-by-step explanation:

First you take 121 and divide it by 10 then you take the end number and add a m

Part A
Choose a writing prompt from the following list. Then brainstorm a topic by asking the questions in the table. Fill in the
table with the prompt, topic, and answers to the questions:
Recount a personal achievement that you're proud of.
• Describe a place that has helped make you who you are.
• Identify and describe your role model.
Examine something that you're afraid of..
Describe something that motivates you.
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AAEEE 3
Font Sures
3
5
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Writing Prompt
Topic
What?
Where?
When?
Who?
Why?
How?
I
I’m

Answers

Answer:

Step-by-step explanation:

you pick your topic

the what is what is your topic

where does your topic take place

who is in your topic or who is it talking about

why did you choose this topic

A company manufactures and sells x VCRs per month. If the cost and revenue equations are C(x) = 200 + 2x, R(x) = 20x − (x^2/50) , use differentials to estimate the change, ∆P, in profit when the production is increased from 100 to 101.

Answers

Answer:

ΔP  = 14

Step-by-step explanation:

Given

[tex]C(x) = 200 + 2x[/tex]

[tex]R(x) = 20x - \frac{x^2}{50}[/tex]

Required

Determine the change in profit

First, we need to determine the profit

[tex]P(x) = R(x) - C(x)[/tex]

[tex]P(x) = 20x - \frac{x^2}{50} - 200 - 2x[/tex]

Collect Like Terms

[tex]P(x) = - \frac{x^2}{50} + 20x - 2x- 200[/tex]

[tex]P(x) = - \frac{x^2}{50} + 18x- 200[/tex]

Differentiate wrt x

[tex]P'(x) = -\frac{x}{25} + 18[/tex]

When Profit increases from 100 to 101, the change becomes

ΔP  [tex]= -\frac{x}{25} + 18[/tex]Δx

Δx[tex]= (x_2 - x_1)[/tex]

Where

[tex]x_2 = 101[/tex]

[tex]x_1 = x = 100[/tex]

So, the expression: ΔP  [tex]= -\frac{x}{25} + 18[/tex]Δx becomes

ΔP  [tex]= (-\frac{x}{25} + 18)(x_2 - x_1)[/tex]

ΔP  [tex]= (-\frac{100}{25} + 18)(101 - 100)[/tex]

ΔP  [tex]= (-4+ 18)(1)[/tex]

ΔP  [tex]= (14)(1)[/tex]

ΔP  = 14

Hey I need help with this question:

6(x-3)^2-26 = 10

Answers

Answer:

x = 3 ±sqrt(6)

Step-by-step explanation:

6(x-3)^2-26 = 10

Add 26 to each side

6(x-3)^2-26+26 = 10+26

6(x-3)^2 = 36

Divide by 6

6/6(x-3)^2 = 36/6

(x-3)^2 = 6

Take the square root of each side

sqrt((x-3)^2) = ±sqrt(6)

x-3 =  ±sqrt(6)

Add 3 to each side

x-3+3 =3 ±sqrt(6)

x = 3 ±sqrt(6)

1. Which of the following statements best describes the patterns and trends of the Periodic Table?
a. The atomic number and atomic mass decrease from left to right across a period; energy levels
decrease from top to bottom down a group
b. The atomic number and atomic mass increase from left to right across a period; energy levels
decrease from top to bottom down a group.
c. The atomic number and atomic mass increase from left to right across a period; energy levels
increase from top to bottom down a group.
d. The atomic number and atomic mass decrease from left to right across a period; energy levels
increase from top to bottom down a group.

Answers

Answer:

Its C

Explanation

c. The atomic number and atomic mass increase from left to right across a period; energy levels

increase from top to bottom down a group.

most ants can lift 50 times their own weight. If an ant weighs 5 milligrams, how many ants would it take to lift a 500 gram bag of sugar?​

Answers

Answer:

2000

Step-by-step explanation:

5*50=250 mg

250*4=1000 mg

1000*500=500 m

4*500=2000

It would take 2,000 ants to hoist a 500-gram bag of sugar.

What is proportionality?

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, most ants can lift 50 times their own weight.

also given every ant has 5 mg weight.

So, 1 ant can lift = 5mg * 50 = 250mg

Since 1 gram has 1000 mg

Ant can lift = 1/4 grams

thus,

1/4 gram of sugar can be lifted by = 1 ant

1 gram of sugar can be lifted by = 4 ant

500 grams of sugar can be lifted by = 4 * 500 ant = 2000 ants

Therefore, 2000 ants would it take to lift a 500-gram bag of sugar.

Learn more about proportionalities here:

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Properties of the normal distribution include?

Answers

Answer:

Properties of a normal distribution

The mean, mode and median are all equal.

The curve is symmetric at the center (i.e. around the mean, μ).

Exactly half of the values are to the left of center and exactly half the values are to the right.

The total area under the curve is 1.

Step-by-step explanation:

The solution is , given below.

What is normal distribution?

A normal distribution is a type of continuous probability distribution in which most data points cluster toward the middle of the range, while the rest taper off symmetrically toward either extreme. The middle of the range is also known as the mean of the distribution.

here, we have,

Properties of a normal distributionThe mean, mode and median are all equal.The curve is symmetric at the center (i.e. around the mean, μ).Exactly half of the values are to the left of center and exactly half the values are to the right.The total area under the curve is 1.

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10/3 = x/ (-5/2) what does x equal

Answers

The answer to the equation is [tex]x=-\frac{25}{3}[/tex]

First, you must cross multiply the fractions.

[tex]10*-\frac{5}{2} =x*3[/tex]

[tex]-25=3x[/tex]

Then, you must flip the equation.

[tex]3x=-25[/tex]

Finally, divide 3 on each side

[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]

[tex]x=-\frac{25}{3}[/tex]

what value of x will make the equation f(x)=6 true ?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]f(x) = 6[/tex]

Required

Solve for x

The question is incomplete as the function f(x) is not given.

However, the following explanation will guide you

As a point of reference, we assume that f(x) is:

[tex]f(x) = 2x + 4[/tex]

To solve further, we substitute 6 for f(x)

[tex]6 = 2x + 4[/tex]

Then, we solve for x

[tex]2x = 6 - 4[/tex]

[tex]2x = 2[/tex]

Divide through by 2

[tex]x = 1[/tex]

So, in your case.

All you need to do is substitute 6 for f(x) then solve for x

help me please i’ll do anything

Answers

Answer:

in the first one, she makes $7.50 per box

Step-by-step explanation:

looking at the graph

Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?

A.
{-4, 4, 14}
B.
{2, 4, 9}
C.
{-12, -4, 6}
D.
{12, 4, -6}

Answers

Answer:

The range is {12, 4, -6} ⇒ D

Step-by-step explanation:

The range of the relation is the values of y corresponding to the values given for x which is the domain of the relation

∵ The relation is 12x + 6y = 24

∵ The domain of the function is {-4, 0, 5}

→ That means x = -4, 0, 5, we need to find their corresponding values of y

∴ Substitute the values of x in the relation

x = -4

∴ 12(-4) + 6y = 24

∴ -48 + 6y = 24

→ Add 48 to both sides

∴ -48 + 48 + 6y = 24 + 48

∴ 6y = 72

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{72}{6}[/tex]

y = 12

x = 0

∴ 12(0) + 6y = 24

∴ 0 + 6y = 24

∴ 6y = 24

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{24}{6}[/tex]

y = 4

x = 5

∴ 12(5) + 6y = 24

∴ 60 + 6y = 24

→ Subtract 60 from both sides

∴ 60 - 60 + 6y = 24 - 60

∴ 6y = -36

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{-36}{6}[/tex]

y = -6

∵ The range is the values of y which corresponding to the domain

The range is {12, 4, -6}

The answer is down below have a good day!!!

I am trying to choose a cellphone plan. Plan A charges $90 per month plus $0.15 per text message sent during the month. Plan B charges $60 per month plus $0.35 per text message sent during the month. In order for Plan A to be cheaper than Plan B, I would have to send how many messages in a month?

Answers

Answer:

258

Step-by-step explanation:

mark brainlest

Answer:

You will need to send 150 texts for them to be the same price

Step-by-step explanation:

A = .15x+90

B=.35x+60

.15x+90=.35x+60

      -60            -60

.15x+30=.35x

-.15x       -.15x

30=.2x

x=150

What is the scale factor of AABC to ADEF?
B
72
359
66
E
-35"
A 80°
12
80*
DS
11
42
65"
A. 6
B.
1
2
1
C.
02
D. 2

Answers

so we know that the size of the triangle is decreasing witch means that the scale factor is going to be a fraction. to find this fraction you are going to divide the smaller side by the corisponding longer side.

12/72= 1/6

the correct answer is c 1/6

The scale factor of triangles ABC and DEF is 6.

Option A is the correct answer.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

From the triangles,

The ratio of the corresponding sides of the two triangles must be equal.

The value of the ratio is the scale factor.

So,

AB/DE = BC/EF = AC/DF

This can be written as,

72/12 = 66/11 = 42/7

6 = 6 = 6

Thus,

The scale factor of triangles ABC and DEF is 6.

Learn more about scale factors here:

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Suppose n(t) = -51^2 + 10t + 3 represents the height of a

diver above the water (in meters), 1 seconds after

the diver leaves the springboard. Which of these

statements is true?

(А)

After 1 second, the diver will be 3 feet above

the water.

B

After 5 seconds, the diver will be 25 feet above

the water.

С

After 1 second, the diver will be 8 feet above

the water.

D

After 5 seconds, the diver will be 78 feet above

the water.

Answers

Answer:

The correct option is (c).

Step-by-step explanation:

The height of a diver abov the water is given by :

[tex]h(t) = -5t^2 + 10t + 3[/tex] ....(1)

Where h(t) is in meters and t is in seconds

Put t = 1 s, in equation (1) we get :

[tex]h(1) = -5(1)^2 + 10(1) + 3\\\\=8\ \text{feet}[/tex]

Put t = 5 s, in equation (1) we get :

[tex]h(1) = -5(5)^2 + 10(5) + 3\\\\=-72\ \text{feet}[/tex]

Out of the given options, "after 1 second, the diver will be 8 feet above  the water is (c)". Hence, the correct option is (c).

find the value of x. PLEASE HELP.
The answer is 25. Teacher gave us the answer, but I need to show my work.

Answers

Answer:

Step-by-step explanation:

2+5x+53=180

55+5x=180

5x=125

x=25

hope this helps :)

explanation:
2+5x and 53 are supplementary angles (they add up to 180), so you need to set an equation by adding them to equal 180:
2 + 5x + 53 = 180
combine like terms
55 + 5x = 180
we want the x by itself, so subtract both sides by 55
5x = 125
divide both sides by 5 to get:
x = 25°

Someone Help Me Please. ?

Answers

Answer:

I’m guessing number 3

Step-by-step explanation:

Is the answer x=6????

Answers

Answer:

x=12

Step-by-step explanation:

5x-2 = 58

5x = 60

x = 12

Which of the following is equivalent to 7^2•7^5•2^2/7^3•2^6

Answers

When you add, you subtract the exponents. When you divide, you subtract the exponents.

When you have multiplication and division in one expression, you do it from left to right.

7^2 times 7^5 = 7^ (2+5) = 7^7

7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2

7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8

Put it in a calculator.

614656.

That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!

If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.

Which number has the same absolute value
as 8

Answers

Answer:8

Step-by-step explanation:

Please help me if you know it thank you so much

Answers

Answer:

a) 9 beats

b) 9 beats per minute

c) y=9x

d) 180 times

Factorise fully
6x - 8​

Answers

Answer:

2(3x+ 4)

I hope it helps

Pls mark as brainliest

. If BC=46.5 and AC=82.3 Find AB.

Answers

82.3-46.5
Answer
35.8

what are the slopes of the two different lines? are they undefined?

Answers

Answer:

m = (y2 -- y1) / (x2 -- x1)

Step-by-step explanation:

A random sample of 17 hotels in Boston had an average nightly room rate of $165.40 with a sample standard deviation of $21.70. The critical value for a 98% confidence interval around this sample mean is ________.

Answers

Answer:

153.158 ; 177.642

Step-by-step explanation:

Given the following:

Sample mean (m) = 165.40

Sample standard deviation (s) = 21.70

Sample size (n) = 17

α = 98%

Confidence interval = m ± z(SE)

z at 98% = 2.326

SE = s/√n

SE = 21.70/√17 = 5.2630230

Hence,

Confidence interval = 165.40 ± 2.326(5.2630230)

165.40 - 12.241791498 OR 165.40 + 12.241791498

153.158 ; 177.642

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Is this a function or Not function? How do you know? Question 75 pts(03.02 MC)Gina made a down payment on a motorcycle. What incentive did she have for making a down payment?O A tax breakO A higher loan rateO A less secure loanO A reduced time in debt Select the correct answer.The table represents a proportional relationship.112BE224336 The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 53 out of 1252 movies with summer release date earned over 400 million dollars. They also counted that out of 544 movies released in the winter, 6 earned over 400 million dollars. Round all answers to four decimal places.Over 400 million USD Under 400 million USD TotalSummer release 54 1252 Winter release 6 547Total Required:a. What are the hypotheses for testing whether there is a significant difference in the proportion of movies who earn over 400 million dollars for the two release seasons?b. Calculate the difference in the proportions of movies that earned over 400 million dollars. Can someone answer this!!!!!! In Selection 1, the author includes a claim that the wild horses have Spanish origins. Which statement best delineates the claim? Most evidence suggests that the horses are in fact a native species, supporting the argument that the horses must have actually been in North America for more than 11,000 years. The horses' Spanish orgins have been verified by DNA analysis, and this common ancestry helps support the argument that there is now a serious problem of inbreeding in the horse population. Although the horses' orgins are not actually certain, the claim supports the argument that the horses have been wild on the barrier island for a very long time and should be treated as a native species. There is no evidence to suggest that the horses are actually from Spain, which supports the argument that the horses are recent additions to the island and their range should be limited to protect endangered species. A key difference between plants and animals is the method by which glucose is obtained to be converted to ATP. By what process do most plants obtain glucose for energy?A. PhotosynthesisB. Ingestion of organic materialC. Aerobic cellular respirationD. Anaerobic cellular respiration Find the slope of the line.The slope of the line is =(Simplify your answer. Type an integer or a fraction. 7 x7 dived by 5 plz helppppvme Explain this how this reasons played in the WW1 1) the new international expansionist policy undertaken by German Emperor Willian II in 1890. 2) conflicts between colonial power in Africa and Asia 3) territorial rivalry between France and Germany for the regions of Alsace and Lorraine 4) Rivalry between Russia and Austria-Hungary for the hegemon in the Balkans How were the colonists view on government influenced during the American Revolution? What is the slope of the line that passes through points (-4, 5) and (3, -2)? Find the cost price. selling price 6097 loss percent=9% graph for y=2/3x-4 Using exponents, what is the simplified form of (3x 4 y 2 ) 2 ? Renaissance art is often associated with the art of which country? a. England b. Italy c. Germany d. France Find the area of the rectangle. The length is 1.25 and the width is 0.8 inches Which of these is an example of a monarchy? A. A country B. A republic C. A democracy D. A kingdom How do you determine the absolute maximum and minimum values of a continuous function on a closed interval? A company had a tractor destroyed by fire. The tractor originally cost $141,000 with accumulated depreciation of $74,400. The proceeds from the insurance company were $36,000. The company should recognize: