A motorboat can maintain a constant speed of 47 mph relative to the water. The boat makes a trip upstream to a certain point in 51 minutes; the return trip takes 43 minutes. What is the speed of the current?

Answers

Answer 1

9514 1404 393

Answer:

  4 mph

Step-by-step explanation:

The ratio of speeds upstream and down is inversely proportional to the ratio of times upstream and down. If we let c represent the speed of the current, the relation can be written ...

  (47 +c)/(47 -c) = 51/43

  43(47 +c) = 51(47 -c)

  94c = 8(47) . . . . . . . . . . . add 51c -43(47)

  c = 4 . . . . . divide by 94

The speed of the current is 4 miles per hour.


Related Questions

please helpppp me with this trig question

Answers

The answer would be 0.73 in decimal form (the image shows the steps)

PLEASE HELP WORTH 10

D. The expected height for someone with a femur length of 55 centimeters

Answers

198.5 or 199 if thats an option

For which equation is (4, 3) a solution?
What’s the answer

Answers

Answer:

y = 2x - 5.

Step-by-step explanation:

hope this helps. I had this question and got it right!

Type the correct answer in the box. Use numerals instead of words.
Ali has hired Mark and Alexis to work for his shipping company. Mark can
load a truck with packages in 120 minutes. Alexis can load the same
number of packages in 240 minutes.
Mark and Alexis work together on a particular truck, they can load all of the packages in
minutes.

Answers

Answer:

80 minutes

Step-by-step explanation:

Work done by Mark in 1 minute = 1/120

Work done by Alexis in 1 minute = 1/240

Work done by Mark and Alexis in 1 minute = 1/120 + 1/240

                      [tex]= \dfrac{1*2}{120*2}+\dfrac{1}{240}\\\\=\dfrac{2}{240}+\dfrac{1}{240}\\\\=\dfrac{3}{240}\\\\=\dfrac{1}{80}[/tex]

They both can load  all the packages in 80 minutes.


Katherine and Ivan had 96 marbles in all. Katherine lost 24 marbles to Ivan
during a game. At the end of the game, Ivan had twice as many marbles as
Katherine. How many marbles did Ivan have at first?

Answers

K. 48-24=24

I. 48+24=72×2= (144) so 144

An equation is formed of two equal expressions. The total number of marbles that Ivan had at the first is 40.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of marbles with Katherine be represented by k, while the number of marbles with Ivan is represented by x.

Given that the total number of marbles available with Katherine and Ivan is 96. Therefore, we can write,

k + x = 96

Solving the equation for k,

k = 96 - x

Further, Katherine lost 24 marbles to Ivan during a game and at the end of the game, Ivan had twice as many marbles as Katherine. Therefore, we can write the equation as,

2(k - 24) = (x + 24)

2k - 48 = x + 24

Substituting the value of k,

2(96 - x) - 48 = x + 24

192 - 2x - 48 = x + 24

192 - 48 - 24 = x + 2x

3x = 120

x = 120/3

x = 40

Hence, the total number of marbles that Ivan had at the first is 40.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ5

need help with my homework plz and thank u :)

Answers

Your answer is y=-3(x-1)^2-9 or the third one down

It is estimated that each guest at a party will eat 9/10
pounds of chocolates. How many guest can be served with 27 pounds of chocolate?

Answers

Answer:

30 guests

Step-by-step explanation:

If each guest eats 9/10 lbs of chocolate, then they eat 0.9 lbs of chocolate. We have 27 lbs of chocolate to be eaten.

To solve this, simply:

[tex]\frac{27}{.9} =30[/tex]

where 27 lbs is divided by 0.9lbs per guest to equal 30 quests.

I hope this helps!!! :)

3. A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts
There is a proportional relationship between the amount of raisins (cups) and the amount of peanuts p (cups), in this recipe

a. Write the equation for the relationship that has constant of
proportionality greater than 1 Graph the relationship

b. Write the equation for the relationship that has a constant of
proportionality less than 1. Graph the relationship

Answers

Level: Grade 7 Mathematics

----

Steps & Solution:

1. The relationship that has constant of proportionality greater than 1

[tex]\frac{p}{r} =\frac{6}{4} =\frac{3}{2}[/tex] { the calculator of a certain proportionaility }

[tex]p=\frac{3}{2} r[/tex]

2. The relationship that has constant of proportionaility less than 1

[tex]\frac{r}{p} =\frac{4}{6} =\frac{2}{3} \\r=\frac{2}{3} p[/tex]

A football team loses 4 yards on one play and 3 yards on another play. Find the total amount of yards lost​

Answers

The football team would loose 7 yards

They lost 7 yards in total

A(n) _____ is a proof that uses algebraic properties to reach a conclusion about an algebraic equation.

Answers

Answer:

algebraic proof

The complete statement is -

"An algebraic is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"An _____ is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

The complete statement is -

"An algebraic is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

Therefore, the complete statement is -

"An algebraic is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

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Help help help please please

Answers

Answer:

23×24 =27

answer is 7

answer is 7

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}= a^{m+n}\\\\\\\dfrac{a^{m}}{a^{n}} = a^{m-n}\\\\\\2^{3}*\dfrac{2^{5}}{2^{1}}=2^{3}*2^{5-1}\\\\=2^{3}*2^{4}\\\\=2^{3+4}\\\\=2^{7}[/tex]

.25% written as a fraction and decimal

Answers

Answer:

1/4 in fraction form, and 0.25 in decimal form.

Step-by-step explanation:

What is the surface area?
1 cm
1 cm
1 cm
square centimeters
Submit

Answers

Answer:

1 x 1 = 1.

6 x 1 = 6cm^2

multiply by 6 cause 6 faces

3- (4x-5)=6+x-8 solve for x

Answers

Answer:

x = 2

Step-by-step explanation:

pls can i have brainliest?

PLEASE HELP
will mark brainliest!!

Answers

Answer: -6x

Step-by-step explanation: Since when x is 0, the function's output is 0, the function can only have terms with x in it. You then notice a pattern that x is always being multiplied by -6. You could also use point slope form to solve it, either way you get f(x)=-6x

Answer:

f(x) = -6x

Step-by-step explanation:

The linear equation given in the form of a table is shown as:

[tex]\left[\begin{array}{ccc}x&f(x)\\0&0\\1&-6\\2&-12\\3&-18\end{array}\right][/tex]

Because the equation is linear, in order to find the equation written in slope-intercept form, divide the rise (f(x)) by the run (x):

0 ÷ 0 = 8

-6 ÷ 1 = 8

-12 ÷ 2 = 8

-18 ÷ 3 = 8

Because the quotient for each relation is -6, the linear equation can be written as f(x) = -6x.

what is the partial product for 1,262 x 3
A 600 and 500
B 15 and 180
C 600 and 900
D 180 and 3000

Answers

Step-by-step explanation:

what is THE partial product ? there is a mistake in your problem description.

it must read "what are valid partial products".

1262×3 has the following partial products :

1000×3 = 3000

200×3 = 600

60 × 3 = 180

2×3 = 6

-----------

3786

so, D seems to be the best answer, because both numbers are partial products here.

A, B and C have each only one correct.

is abc a right triangle?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

cuz is the shape in the picture so that's triangle

Answer:

My Right answer is Yes

Step-by-step explanation:

I hoped it helps ..

Are the ratios of 3 apples to 5 oranges and 9 apples to 15
oranges equivalent? Why or why not? Explain

Answers

Answer:

yes they are equivelant

Step-by-step explanation:

the reason they are equivelant is because they go from 3 apples to 6 apples to 9 apple, and 5 oranges to 10 oranges to 15 oranges. so this mark's it is also tymced by three

A toy store marks down all of its items by 15%. If a package of pokemon cards costs $4.99, what is the new price with the markdown? Round to the nearest cent


A.$5.14
B.$4.84
C.$4.24
D.$5.74

Answers

c because um don't you subtract 75 cents

Answer:

C)$4.24

Step-by-step explanation:

Given:

15%

$4.99

To Find:

what is the new price with the markdown? Round to the nearest cent

Solution:

To find the solution you have to subtract.

$4.99 - 15%

=

4.2415

Round to the nearest cent which gives you $4.24

Therefore, C)$4.24 is Correct

What is this problem
44+400÷(4+6'2)−2'4

(') that means power


250

244

18

10

Answers

Answer:

18

Step-by-step explanation:

♡ The first answer is correct

♡ Please mark them BRAINIEST

♡ Hope this helps

♡ Have a beautiful day

the opposite number of -6.1

Answers

Answer:

I'm pretty sure that would be 6.1 - considering negative numbers and positive numbers are opposites.

A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.

Answers

9514 1404 393

Answer:

  15x +5y = 85 . . . . . equation for money spent

Step-by-step explanation:

The money spent will be the sum of products of numbers of tickets and their cost:

  15x +5y = 85

__

The number of tickets bought will be the sum of the numbers of each kind.

  x +y = 13

_____

The solution of this system of equations is (x, y) = (2, 11).

Eric plans to rent a room for his graduation party for $400. The catering charge is $9.50 per person
and there is no charge for Eric's meal since he is the guest of honor. If Eric has $1,000 to spend on his
graduation party, what is the maximum number of friends Eric can invite?

Answers

Answer:

1000-400= 600 so 600/9.50 = Approx 63, so 63 people

I need help only answer if you’re 100 percent think it’s right

Answers

Answer:

1[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The answer is  1 1/2 because you have to divide 3 and 2

Whole number: 1

Fraction:1/2

3 divided by 2 is 1.5 or 1 1/2

Hope this helps!! :)

Whats the absolute value of x |x+5|= 35

Answers

Answer:

x=30

Step-by-step explanation:

Arturo has $480 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $201.87. He buys 3 bicycle reflectors for $9.82 each and a pair of bike gloves for $15.79. He plans to spend some or all of the money he has left to buy new biking outfits for $32.80 each. Write and solve an inequality which can be used to determine oo, the number of outfits Arturo can purchase while staying within his budget.

Answers

Answer:

$33.26 remaining after every single purchase, he can also purchase 7 biking outfits.

Step-by-step explanation:

slove and simply
(-2.56)(1.2)

Answers

Answer:

-3.072

Step-by-step explanation:

-2.56 multiplied by 1.2= -3.072

elisa purchased 3 containers of glitter for $6.30 each and 2 jars of glue for $4.60 each. write an expression for the total cost of supplies

Answers

6.30(3)+4.60(2)

I’m not quite sure if this is what you’re asking, but all I did was plug in the amount of things purchased times the price for each!

What’s the answer to this question

Answers

Answer:

-9 and -8 ...............

Please help I need for tonight thanks

Answers

Answer:

C. x+8=3x

Step by step explanation:

First, subtract 8 from both sides of the equation

x+8=3x

x+8-8=3x-8

Then, simplify it by subtracting again

x+8-8=3x-8

x=3x-8

Then, subtract 3x from both sides of the equation

x=3x-8

x-3x=3x-8-3x

Then, simplify by combining the terms

x-3x=3x-8-3x

-2x=3x-8-3x

-2x=3x-8-3x

-2x= -8

Then, divide both sides of the equation by the same term

-2x= -8

-2x/-2 = -8/-2

Then, simplify by cancling terms that are in both the numerator and denominator

-2x/-2 = -8/-2

x= -8/-2

Finally, divide the numbers

x= -8/-2

x=4

And that's your answer! :)

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