The Jones family took a 16 mile canoe ride down the Indian River in two hours. After lunch, the return trip back up the river took four hours. Find the rate,
in mph, of the canoe in still water and the rate of the current.

Answers

Answer 1

9514 1404 393

Answer:

canoe 6 mphcurrent 2 mph

Step-by-step explanation:

The speed downriver was (16 mi)/(2 h) = 8 mph. The speed upriver was (16 mi)/(4 h) = 4 mph. The canoe's speed in still water is the average of these speeds: (8+4)/2 = 6 miles per hour.

The current's speed is the difference between the actual speed and the canoe's speed: 8 -6 = 2 miles per hour.

The speed of the canoe in still water is 6 mph; the rate of the current is 2 mph.


Related Questions

What is the value of y in the equation 3(3y-12)=0

Answers

Answer:

y = 4

Step-by-step explanation:

use the distributive property

9y - 36 = 0

     +36  +36

9y = 36

divide by 9

y = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

You are going to visit your aunt who lives 25 miles away . You have already traveled 7.7 miles. What percentage of the trip is still ahead of you?

Answers

The percentage of the trip that is still ahead of you is 69.2%.

What is the percentage?

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

You are going to visit your aunt who lives 25 miles away. You have already traveled 7.7 miles.

The percentage of the trip that is still ahead of you is calculated as,

P = [(25 - 7.7) / 25] x 100

P = (17.3 / 25) x 100

P = 0.692 x 100

P = 69.2%

More about the percentage link is given below.

https://brainly.com/question/8011401

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I'll give points and brainalist for answer / explanation

Answers

Answer:

D. 28.26 in²

Step-by-step explanation:

Area of a circle= πr²

r= 3

π= 3.14

A= (3.14)(3)²

A= 28.26 in²

Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?

A-5
B-6
C-7
D-8
E-9

Answers

Answer: E) 9

Step-by-step explanation:

1.12/4 = 0.28

2.52/0.28 = 9

Answer:

9

Step-by-step explanation:

To find how much each apple costs, you have to divide the price by how many apples he brought.

1.12/4 = 0.28

Each apple costs $0.28

Now, you have to divide 2.52 by 0.28.

2.52/0.28 = 9

He can buy 9 apples at the same price with $2.52.

A 7-kg bag of apple for $10 ________ per kg

Answers

Answer:

10/7= $1.43 per kg

...........

0.7 kg = $1

7 kg - $10

? kg - $1

7 / 10 = 0.7

0.7 kg = $1

Let me know if I did something wrong :)

The answers please. Don’t know how to do #1

Answers

Your correct. It is what you put down

You move right 3 units. You end at (5, 2). Where did you start?

Answers

Answer:

8,2

Step-by-step explanation:

ANSWER:
You started at (2,2)

EXPLANATION:
you subtract the 5 by 3 because moving to the right affects the x axis, and (x,y), so the 5 is what is being affected


Need help with this

Answers

oh wow that’s a lot that’s crazy

Prove that a+b/2≥√ab

Answers

Start by squaring both sides got remove the sqrt
[(a+b)/2]^2 ≥ ab
(a^2 +2ab +b^2 )/4≥ ab
Multiply both sides by 4
a^2 +2ab +b^2 ≥ 4ab
Subtract 2ab from both sides
a^2 + b^2 ≥ 2ab
Subtract 2ab from both sides
a^2 - 2ab + b^2 ≥ 0
Use quadratic equation to solve where a = 1 and b = -2b
2b ± sqrt[(-2b)^2 - (4x1xb^2)]/(2x1)
2b ± sqrt[4b^2 - 4b^2]/2
(2b ± 0)/2
a = b
Substituting for b in the equation a^2 + b^2 ≥ 2ab
2a^2 ≥ 2a^2

Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)

Answers

here you go! hopefully this helps :))

-2 x -4 x -1 - -2 x -4

Answers

Answer:

-16

Step-by-step explanation:

(-2 * -4 * -1) - (-2 * -4) **use parenthesis to make easy

Multiply first parenthesis:

= -8

Multiply second parenthesis:

= 8

Combine (subtract):

-8 - 8 = -16

Answer:

-32

Step-by-step explanation:

your required answer is

-2 × -4 × 1 × -4 = -32

Help plz need the answer asap

Answers

Answer:

The video is blocked but you can type your question on here1

Step-by-step explanation:

g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)

Answers

Answer:

0.0062 = 0.62% probability that the sample mean is less than $650.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $675 and a standard deviation of $80.

This means that [tex]\mu = 675, \sigma = 80[/tex]

A random sample of 64 families in this city paying for childcare is selected.

This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]

Find the probability that the sample mean is less than $650.

This is the pvalue of Z when X = 650.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{650 - 675}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

0.0062 = 0.62% probability that the sample mean is less than $650.

The probability that the sample mean is less than $650 is 0.62%.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]

From the normal distribution table:

P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%

The probability that the sample mean is less than $650 is 0.62%.

Find out more at: https://brainly.com/question/15016913

12x+6n-36 in standard form

Answers

6n+12x-36 . hope this helps

What is the value of n

Answers

Answer: n=10
Explanation: sin(30°)=n/20 multiply 20 to sin(30°) and you get 10

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

slope:

11 - (-1) / 2 - (-2) = 12/4 = 3

slope intercept form is y = mx + b, so right now you have m = 3:

y = 3x + b

now, since you know x = -2 and y =-1 is a solution, you can plug those values in:

-1 = 3 * -2 + b

-1 = -6 + b

5 = b

This means the equation is y = 3x + 5

What does (2+4(6))/2 equal?

16
13
14
10

Answers

Answer : is 13 hope it helps you

Answer:

13

Step-by-step explanation:

You must use PEMDAS to solve this equation.

Solve everything in the parentheses first;

4(6) = 24

24 + 2 = 26

26 / 2 = 13

Final answer = 13

Find the slope of the line.

The slope of the line is ___.

Answers

Points: (-2,-4) and (2,6)
Use formula: (y2-y1)/(x2-x1)
(6-(-4))/(2-(-2)) = 10/4
The slope is 10/4

Answer:

5/2

Step-by-step explanation:

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

m=(6-(-4))/(2-(-2))

m=(6+4)/(2+2)

m=10/4

simplify

m=5/2

PLS HELP ME OUT WITH THIS
Student A: 78, 99, 80, 85, 95, 79, 85, 96
Student B: 100, 80, 79, 75, 92, 93, 75, 78, 84

Student A Mean:

Student A Mean Absolute Deviation:

Student B Mean:

Student B Mean Absolute Deviation:

Answers

Student A Mean:

(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125

Student A Mean Absolute Deviation: 7.15625

Student B Mean:

(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84

Student B Mean Absolute Deviation: 7.33

Can somebody help me please

Answers

Step-by-step explanation:

First, find complete data.

That would be 2, 12 and 5, 30

Divide the output by the input to get the relationship/constant.

12/2 = 6     30/5 = 6

So...

1 x 6 = 6

and

48 / 6 = 8

9514 1404 393

Answer:

  (b)  Output 6, Input 8

Step-by-step explanation:

One of the things you can look at is the ratio of output to input. Here, it is constant, which makes things a lot easier

  output/input = 12/2 = 30/5 = 66/11 = 6

Then for input 1, output is 1×6 = 6.

For unknown input, we have ...

  input × 6 = 48

  input = 48/6 = 8

__

The two blanks are ...

 input: 8; output 6

Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.
Show all your work and explain why the triangles are similar or why they are not
Please help and give a good explanation

Answers

Answer:

RM / RP = 10/18 = 5/9

RN/RQ = 7/21 = 1/3

Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.

Step-by-step explanation:

The triangles PRQ and MRN are not similar.

Similar triangles:

Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:

∠R = ∠R

∠Q = ∠N

∠P = ∠M

The following proportion rule must apply below:

PR / MR = RQ / RN = PQ / MN

18 / 10 = 21 / 7

9 : 5 ≠ 3 : 1

Therefore, the triangles are not similar

learn more on similar triangles here: https://brainly.com/question/10810713

If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?

(3, -5)
(3, 5)
(-5, 3)
(5, -3)

Answers

You just swap the ordered pair units around. It’d be (-5, 3)

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

How to determine which of the following must be an ordered pair of the inverse of f(x)

To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.

Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.

Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:

x = f(y)

Substituting f(3) = -5:

3 = f(y)

Therefore, the inverse function of f(x) is y = 3.

Now, let's check which of the given ordered pairs satisfies the inverse function:

- For (3, -5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.

- For (3, 5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.

- For (-5, 3):

When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.

- For (5, -3):

When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

Learn more about inverse function at https://brainly.com/question/3831584

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If you don’t know I don’t answer (NO LINKS )

Answers

Uhh I might just answer this so the guy who did so much can get brainliest

You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.

Answers

Answer:

The expected rate of return is 6.3%.

The standard deviation is of 11.29%.

Step-by-step explanation:

Expected rate of return

Multiply each rate by its probability. So

[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]

The expected rate of return is 6.3%.

Standard deviation:

Square root of the difference squared between each value and the mean, multiplied by the probability. So

[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]

The standard deviation is of 11.29%.

For each of the following coordinate
pairs, write the Quadrant where they would
be located. You do not have to use Roman
numerals.

(-3, 2) Quadrant ?
(-6, -8) Quadrant ?
(4, 10) Quadrant ?
(9,-5) Quadrant ?

Answers

4, 3, 1, 2 are the answers

6/15=3/x
HELPP PLEASE

Answers

Answer:

15/2 or 7.5 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{6}{15} = \frac{3}{x}[/tex]

simply cross multiply

[tex]6x = 45[/tex]

divide both sides by 6

[tex]\frac{6x}{6} = \frac{45}{6}[/tex]

hence x will be equal to [tex]7.5[/tex]

Is it required to for it to be in decimals?

What is the horizontal asymptote of the function g(x)= 3(0.8)^x +6

Answers

Y = tan (x)
Y = 3x0.8x + 6
(0,0) (0,9)

Please help!!!!!!!!!!!

Answers

Answer:

Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm

Step-by-step explanation:

I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.

Answer:

1. I think 30ft 2. I think 4m 3.I think 10mm

Help me out pls and thank you very much !!!!!!!

Answers

Answer:

8

Step-by-step explanation:

Since this is a rectangle, the opposite sides are congruent.

So the lengths of DG and EF are equal

3x + 5 = 29

3x = 29 - 5

3x = 24

x = 24/3

x = 8

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

Its 10, because it repeats the most

Step-by-step explanation:

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