luvenia can row 4mph in still water. She takes as long to row 7 mi upstream as 21 mi downstream. how ​

Answers

Answer 1

Answer:

The speed of the river is 2mph.

Step-by-step explanation:

I guess that we want to find the speed of the river.

First, remember the relation: speed*time = distance

If the speed of the river is Sr, when Luvenia moves downstream (in the same direction that the flow of the water) the total speed will be equal to the speed of Luvenia in still water plus the speed of the water:

Sd = 4mph + Sr

and at this speed, in a time T, she can move 21 miles, so we have:

Sd*T = (4mph + Sr)*T = 21 mi

When moving upstream, the speed will be:

Su = (4mph - Sr)

and in the same time T as before, she moves 7 miles, so we have the equation:

Su*T = (4mph - Sr)*T = 7 mi

Then we have two equations:

(4mph + Sr)*T = 21 mi

(4mph - Sr)*T = 7 mi

Now we can take the quotient of those two equations and get:

((4mph + Sr)*T)/((4mph - Sr)*T) = 21/7

The time T vanishes, and we can solve it for Sr.

(4mph + Sr)/(4mph - Sr) = 3

4mph + Sr = 3*(4mph - Sr) = 12mph - 3*Sr

4*Sr = 12mph - 4mph = 8mph

Sr = 8mph/4 = 2mph.


Related Questions

Which undefined term is used to define an angle

Answers

Answer:

The undefined term which is used to define an angle is line i.e., . Further explanation: In geometry the three terms which are considered to be undefined are line, point and plane.

Answer:

Line

Step-by-step explanation:

A line is a undefined term used to define a angle. An angle is the corner that is created where two non-parallel lines meet/ intersect

Please answer this correctly

Answers

Answer:

153 square feet is the area

Answer:

153 ft^2

Step-by-step explanation:

If the top side were 24 ft long and the right side 10 ft long, you'd have a yellow rectangle with area 10 ft * 24 ft = 240 ft^2.

Now we subtract the parts that are missing.

3 ft * 13 ft = 39 ft^2

3 ft * 16 ft = 48 ft^2

240 ft^2 - 39 ft^2 - 48 ft^2 = 153 ft^2

A.
B.
C.
D.

Does this table represent a function? Why or why not?

Answers

Answer:

Yes, Because every x-value corresponds to exactly one y-value.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Suppose that the functions u and w are defined as follows.

Answers

Answer:

- 3 and 3

Step-by-step explanation:

To evaluate (u ○ w)(- 1), evaluate w(- 1) then use this value to evaluate u(x)

w(- 1) = (- 1)² + 2 = 1 + 2 = 3, then

u(3) = - 3

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

To evaluate (w ○ u)(- 1), evaluate u(- 1) then use this value to evaluate w(x)

u( - 1) = - (- 1) = 1, then

w(1) = 1² + 2 = 1 + 2 = 3

A grocery store has a discount of 13% off hand soap. At the same time the hand soap manufacturer has a coupon for $2.00 off. Assuming both promotions can be applied at the same time how much more would you pay if you applied the coupon first?

Answers

Answer:

[tex]\$0.26[/tex] has to be paid more if the coupon is applied first

Step-by-step explanation:

Given: A grocery store has a discount of 13% off hand soap. At the same time the hand soap manufacturer has a coupon for $2.00 off.

To find: how much more would be paid if the coupon is applied first

Solution:

Let $ x denotes cost of hand soap

Case 1:

If the discount is given first,

cost of hand soap = [tex]x-\frac{13}{100} x=\$ \frac{87}{100}x[/tex]

If the coupon for $2.00 off is applied,

Final cost of the hand soap = [tex]\$\,(\frac{87}{100}x-2)[/tex]

Case 2:

If the coupon for $2.00 off is applied first,

cost of hand soap = [tex]\$(x-2)[/tex]

If the discount is given then,

final cost of the hand soap = [tex](x-2)-\frac{13}{100}(x-2)=\frac{87}{100}(x-2)[/tex] = [tex]\frac{87}{100}x-\frac{87}{50}[/tex]

Here,

[tex]\frac{87}{100}x-\frac{87}{50}-\frac{87}{100}x+2=\frac{13}{50}=\$0.26[/tex]

So, [tex]\$0.26[/tex] has to be paid more if the coupon is applied first.

Answer:

$0.26

Step-by-step explanation: I took the test

George is given two circles 0 and circles X as shown if he wants to prove that two circles are similar what would be the correct second step in his proof

Answers

Answer: Option A.

Step-by-step explanation:

Here we have two equations for the circumference, one for each circle:

C = 2*pi*r

C' = 2*pi*r'

now, if we take the quotient of those two equations, the left side must still be equal to the left side, this means that:

C/C' = 2*pi*r/(2*pi*r') = r/r'

So we have the relation:

C/C' = r/r'

And this is obtained for the division property of equality.

IF A = B, then as both numbers are equal, if we divide both sides by the same thing, then the equality must remain true.

Then the correct option is A.

Simplify -|-5 + 2|. this is all of the question

Answers

Answer:

-3

Step-by-step explanation:

-(absolute value of -3)

-(3)

-3

The answer is negative 3 , Hope this helps n

which law would you use to simply the expression 3^10/3^4 quotient power power of a quotient product of powers power of a product

Answers

ANSWER:
It will be like this 3^10/3^4
=(3)^10-4
=(3)^6
Law used x^m/x^n=x^m-n
HOPE IT HELPS!!!!!
PLEASE MARK BRAINLIEST!!!!


What is the vertex of f(x) = |x+ 8|– 3?
(-8, -3)
(-8,3)
(8, -3)
(8,3)

Answers

Answer:

The vertex is at (-8,-3)

Step-by-step explanation:

The function is of the form

y = a|x-h| + k  where (h,k) is the vertex

f(x) = |x+ 8|– 3

f(x) = |x - - 8|– 3

The vertex is (-8,-3)

Express this number in scientific notation. 5.3×104+4.7×104

Answers

Answer:

for [tex]5.3 * 10^4 + 4.7 * 10^4[/tex] the answer would be [tex]1 * 10^5[/tex]

Step-by-step explanation:

After adding like terms we would get [tex]10^4 *10[/tex]

Then we use the exponent rule and get [tex]10^1^+^4[/tex]

Which after adding would result in [tex]10^5[/tex]

Over which interval is the graph of fx =-x2 + 3x + 8 increasing

Answers

Answer:

Step-by-step explanation:

it is increasing in [tex]]-\infty;3/2][/tex]

because this is like

[tex]f(x)=ax^2+bx+c[/tex]

where a > 0

and -b/a=3/2

Does this graph represent a function? Why or why not?
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

As said in B, use the vertical line test. For any vertical line, does it hit the graph in two points? No. Therefore, the answer is B.

This particular function is f(x)=x^2.

Hope that helped,

-sirswagger21

Answer:

Yes is passes the vertical line test

Step-by-step explanation:

This parabola is a function. it has a one to one correspondence and passes the vertical line test

What weighs more a pound of feathers or a pound of pennies

Answers

They both weigh the same because it says a pound of feathers and a pound of pennies
So both the pennies and the feathers weigh 1 pound!

Hah I didn’t fall for it this time :))

Find the area of the circle. Use pialmost equals 3.14. Radius equals19 yd

Answers

the correct answer is 1,133.54 us

For the graph y = 4 find the slope of a line that is perpendicular to it.

Answers

Answer:

Slope is 4

slope of the line perpendicular to it: x=-1/4

7. Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first
three terms is 26.

Answers

Answer:

Step-by-step explanation:

Let the first term is n, then the second term must be an where a is a common ratio, and the third term is a^2 n

so, n + an = 24

n + an + a^2 n = 26

solve for a, then solve for n

Based on the measures shown, could the figure be a
parallelogram?

Answers

you forgot to include the picture or the measurements.

Answer:

its A

Step-by-step explanation:

ed 2020

If 20 drops fall in 76 seconds, how long will 8 drops take?

Answers

Answer:

x =30.4 seconds

Step-by-step explanation:

We can use ratios to solve

20 drops           8 drops

---------------  = ----------------

76 seconds      x seconds

Using cross products

20x = 8*76

20x =608

Divide each side by 20

20x/20 = 608/20

x =30.4 seconds

Answer:

30.4 secs = 30secs

Step-by-step explanation:

20 drops fall in 76s

Hence 1 drop is 76/20

Therefore 8 drops would be ;

76/20 × 8 = 30.4 secs

In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number of seats is no more than 50 inclusive. On the other hand, the profit on each seat will decrease 10 cents for each seat above 50.
a) Find the number of seats that will produce the maximum profit.
b) What is the maximum profit?

Answers

Answer:

a. 65  seats

b. $422.50

Step-by-step explanation:

We have the following two functions:

8 * x, {0 <= x <= 50}

x * (8 - 0.1 * (x - 50)), {x> 50}, solving we have:

-0.1 * x ^ 2 + 13 * x, {x> 50}

Now we derive both functions and we are left with:

8, {0 <= x <= 50}

-0.2 * x + 13 {x> 50}

we cannot equal to 0 the first function that is equal to 0, because it would be inconsistent, therefore we equal the second function to 0:

-0.2 * x + 13 = 0

0.2 * x = - 13

x = -13 / -0.2

x = 65

Now, test for increasing and decreasing on the intervals (0.65) and (65, infinity)

p '(60) = -0.2 * (60) + 13 = 1

since this value is positive the profit is increasing on (0.65)

p '(70) = -0.2 * (70) + 13 = -1

becuase this value is negative the profit is decreasing on (65, infinity)

Therefore 65 seats are needed to maximize profit

The maximum value would be:

P (65) = 0.1 * (65 ^ 2) + 13 * 65 = 422.5

That is, the maximum value is $ 422.50

In the expression what is the numerical coefficient in this question ?

Answers

Answer:

-7

Step-by-step explanation:

The numerical coefficient of [tex] - 7yz^2 [/tex] is - 7.

The coefficient of -7yz² is -7

In the given equation,

                                  5x⁶÷3xy-7yz²+2y÷z

the coefficient is -7 , because the coefficient is the constant term of an expression.

A numerical coefficient is a constant multiplier of the variable in a term. And here, -7 is preceded by -7yz²

Hence it is the numerical coefficient.

learn more about numerical coefficients:

brainly.com/question/25420238

So, the question is below, please help me find the answer. :)

Answers

Answer:

£2.70 fig rolls and £5.72 crisps

Step-by-step explanation:

£1.08+0.54+£1.08= £2.70 fig rolls

£1.43+£1.43+£1.43-£1.43= £2.86 x 2= £5.72 for 6 packets of crisps

£2.70+ £5.72= £8.42

for the crisps, for every 3 packets one is free. as you want 6 packets, 2 will be free. so 4 x 1.43 = £5.72

for the fig rolls, if you buy two one will be half price. as we want three, 2 will be normal price and 1 will be half price. 1.08 + 1.08 + 0.54 = £2.70

the total is £2.70+£5.72=£8.42

Sally earns $12.50 an hour cleaning houses. If she works from 8:00am to 6:00pm, how much money will she make?

Answers

$125.00
Because from 8 am to 6 pm thats 10 hour so you just multiply $12.50 by 10

Answer:

She will make 125 dollars

Step-by-step explanation:

First figure out how many hours are in between 8 AM and 6PM

Second multiply that number by the salary she makes per hour. In this case its 12.50*10

Lastly Get the answer and add a dollar sign :D

When Sunita weighed herself on Monday, she found that she had gained 1 1/4 kg. Earlier her weight was 46 3/8 kg. What was her weight on Monday? Please give me Statements! Please Do it fast(Its ok if you dont do it fast ok its not like that much of an urgent) #GoAwayCoronaVirus

Answers

Answer:

[tex]47\frac{5}{8}[/tex]

Step-by-step explanation:

Weight from before + Weight gained

[tex]46\frac{3}{8} +1\frac{1}{4}[/tex]

Convert to improper fractions.

[tex]371/8 + 5/4[/tex]

Find the common denominator.

[tex]371/8 + 10/8[/tex]

Add.

[tex]381/8[/tex]

Convert to a mixed fraction.

[tex]47\frac{5}{8}[/tex]

Answer:

47 5/8 kg

Step-by-step explanation:

Ealier weight + gained weight = Monday's weight

46 3/8 + 1 1/4

= 371/8 + 5/4

= 371/8 + 10/8

= 381/8

= 47 5/8 kg

What’s the correct answer for this?

Answers

Answer:

D

Step-by-step explanation:

It's a football ....=> So ... A sphere !!

A rectangle with an area of 25 square centimetres is rotated and reflected in the coordinate plane. What will be the area of the resulting image? Explain.

Answers

Step by step answer by answer choice by choice

3. Write 52/6
as a mixed number.
Give your answer in its simplest form.

Answers

Answer:

26/3 as an improper fraction in simplest form. :)

Step-by-step explanation:

It would be 26/3 as an improper fraction and 8 2/3 as a mixed number

A computer has a price tag of $300. The store is giving you a 15% discount for the computer. Find the discount AND final price of the computer.

Answers

Answer:

Discount = $45

Final = $255

Step-by-step explanation:

First you would multiply $300 by .85. (You do this because your only paying for 85% of the computer) to get the final price

$255

In order to get the discount amount you would subtract 300 by 255 to get

$45

Can someone please please help me

Answers

Answer:

The answer is None

Step-by-step explanation:

Multiply 6 2 and 1 and also multiply 12 4 and 2 separately now divide 96 with 12 and you get 8 which is none of the answer choices

Your answer would be none! Hope i helped & have a great day

Two machines used to fill soft drink containers are being compared. The number of containers filled each minute is counted for 60 minutes for each machine. During the 60 minutes, machine 1 filled an average of 73.8 cans per minute with a standard deviation of 5.2 cans per minute, and machine 2 filled an avaerage of 76.1 cans per minute with a standard deviation of 4.1 cans per minute.

Required:
a. If the counts are made each minute for 60 consecutiveminutes, what assumption necessary to the validity of a hypothesistest may be violated?
b. Assuming that all necessary assumptions are met, perform a hypothesis test. Can you conclude that machine 2 is faster than machine 1?

Answers

Answer:

The calculated value |t| = |  - 2.6932 | = 2.6932 > 1.9803 at 0.05 level of significance

Alternative hypothesis is accepted

The average of machine two is faster than machine one

Step-by-step explanation:

Step(i):-

Given sample size  n₁ = n₂ = 60 minutes

The average of first sample 'x⁻₁ = 73.8

The standard deviation of the first sample 'S₁ ' = 5.2 cans per minute

The average of second sample 'x⁻₂ = 76.1

The standard deviation of the second sample 'S₂ ' =  4.1 cans per minute

step(ii):-

Null Hypothesis : H₀: 'x⁻₁ = 'x⁻₂

Alternative Hypothesis : H₁ :  'x⁻₁ > 'x⁻₂

Test statistic

         [tex]t = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S^{2} _{1} }{n_{1} } +\frac{S^{2} _{2} }{n_{2} } } }[/tex]

        [tex]t = \frac{73.8 - 76.1 }{\sqrt{\frac{(5.2)^{2} }{60 } +\frac{(4.1)^{2} }{60 } } }[/tex]

       t =  - 2.6932

|t| = |  - 2.6932 | = 2.6932

Step(iii):-

Degrees of freedom

ν = n₁ + n₂ -2 = 60 +60 -2 = 118

t₀.₀₅ = 1.9803

The calculated value |t| = |  - 2.6932 | = 2.6932 > 1.9803 at 0.05 level of significance

Final answer:-

Null hypothesis is rejected  at  0.05 level of significance

Alternative hypothesis is accepted

The average of machine two is faster than the average of machine one

     

Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.
A. 0.7248
B. 0.0424
C. 0.1739
D. 0.9318

Answers

The answer is C I’m pretty sure
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