A boat which moves a 15 miles per hour without a current goes 36 miles upstream and 36 miles back in 5 hours. Find the speed of the current

Answers

Answer 1

Answer:

3 mph

Step-by-step explanation:

UPSTREAM:

distance = 36 miles ;

Speed = 15-c mph ;

TIME, t = distance / speed = 36/(15-c)

Downstream :

distance = 36 miles ;

speed = 15+c mph ;

time, t = 36/(15+c)

upstream time + downstream time = 5 hrs

36/(15-c) + 36/(15+c) = 5

36(15+c) + 36(15-c) = 5(15-c)(15+c)

1080 = 5(225 - c²)

1080 / 5 = 225 - c²

216 = 225 - c^2

216 - 225 = c²

-9 = c²

c = 3


Related Questions

Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
What is the end behavior of the graph of q?

Answers

Answer:

a in the picture

Step-by-step explanation:

The end behaviour of the function is correctly represented by option 1.

What is the end behaviour of a function? What do you mean by domain and range of a function?

The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is the following function polynomial as -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

The given polynomial is -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

Graph the function. It can be seen that the domain is limited from -

x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].

Hence, the end behaviour of the function is correctly represented by option 1.

To solve more questions on functions, visit the link below -

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answer my question PLEASE

Answers

Answer:

130

Step-by-step explanation:

Look at the arithmetic sequence below and select the correct recursive and explicit formula for the sequence.

-1, 3, 7, 11...



Recursive Formula: Response area

Explicit Formula:

Answers

Answer:

+4 each time

Step-by-step explanation:

whoever knows how to solve this please help!​

Answers

Answer:

418ft²

Step-by-step explanation:

Find the surface area of both triangle shaped sides.

8 * 12 = 96

96 / 2 = 48 (surface area of one triangular side)

48 * 2 = 96

Find the surface area of both square shaped sides.

10 * 10 = 100

100 * 2 = 200

Find the surface area of the rectangular base side.

12 * 10 = 120

Add everything together.

96 + 200 + 120 = 418

Best of Luck!

(sat prep) find the value of x

Answers

Answer:

120 degrees

Step-by-step explanation:

RSM boi

but you actually have to get the values of the angles on the other side so

180-70=110

180-50=130

pretty simple from there

Answer:

120 deegress

Step-by-step explanation:

x + y = z

70 + 50 = x

x = 50+70 = 120

Simplify the expression-3x-(-2-4x)

Answers

Answer:

-7x+2

Step-by-step explanation:

Step 1: Remove Parentheses

-> -3x+2-4x

Step 2: Simplify Expressions

-3x-4x+2= -3x-4x= -7x+2

Can I have brainliest now

help me plz !!!!!!!!!!

Answers

Step-by-step explanation:

Since y = x + 3

Substitute the value of y for each one into the equation

1. y = 4

4 = x + 3

4 - 3 = x

x = 1

2. y = 8

8 = x + 3

8 - 3 = x

x = 5

3. y = 5

5 = x + 3

5 - 3 = x

x = 5

Hope you got it

Write an equation of the line that passes through (2, 1) and is parallel to the line y=2x+7.

Answers

Answer: y=2x-3

Step-by-step explanation:

- A unicycle tire has a radius of 13 inches. About how far will the unicycle travel in 20 rotations?
F.1633 inches
G.10,613 inches
H.82 inches
J.520 inches

Answers

Answer:

1061.32  you made a typo on G

Step-by-step explanation:

To find the distance travelled by the tire we need the circumference of it

The formula for circumference is 2πr we know pi is roughly 3.14 and the radius is 13

we plug the numbers in and get

2* 3.14* 13

6.28*13

81.64

81.64 is the circumference, now we simply just multiply 81.64 by 13 to get 1061.32

Im guessing number G was supposed to be 1061.32 instead of 10,613

BC =
Round your answer to the nearest hundredth.
B
?
65
А
7

Answers

Answer:

14 = rounded 15

Step-by-step explanation:

What grade r u in?

And what time is where u r?

Answer: 5.52 (answer already rounded)

Step-by-step explanation:

How do I graph y=x-3 and y=-2x+6

Answers

Answer:

you can use a graphing calc

Step-by-step explanation:

Will give brainliest please answer please

Answers

Answer:

E,F,B

Step-by-step explanation:

Answer:

A,C,E

Step-by-step explanation:

12/21= .571428571

4/7, 16/28 and 8/14 all result in this decimal

Your family got a coupon for 35% off at Red Robin. Your bill comes to $45.00 before you use the coupon. Sales tax on the discounted meal is calculated at 8%. You then leave a 15% tip based on the original cost of the meal. How much will dinner and tip cost?

Answers

Answer: $38.34

Step-by-step explanation:

Original bill total: $45

35% discount: $15.75

subtotal: $29.25

sales tax: 8% of $29.25: $2.34

bill for meal: $29.25 + $2.34 = $31.59

Tip: 15% of original cost of meal: 15% of $45: $6.75

TOTAL COST: $31.59 + $6.75 = $38.34

please help me on this will give you brainliest

Answers

Answer:

7.76 × 10^8

Step-by-step explanation:

Answer:

i think i would be 1.94x10^8

Step-by-step explanation:

answer my question PLEASE

Answers

Answer:

jahshh83828

Step-by-step explanation:

iwhdbwowhei2kdhe829274

Use the distributive property to find the equivalent expression.
3(2 + x) =__+__x

Answers

Answer:

6+3x

Step-by-step explanation:

multiply each term in the parentheses by the outer term.

6 + 3x

3(2+x) is factored form
So you need to turn it back into standard form

Giving brain list
tell whether the ratio is a proportion
Need work shown
Need 4,5,6,7,8
If u answer with a d*um* answer I will report u

Answers

Answer:

i believe it proportional

Step-by-step explanation:

pls no report me i did this stuff in 6th grade so i forgot :)

PLEASE HELP ME WITH THIS I HATE SCHOOL

Answers

Answer:

B.)[tex]\sqrt{245}[/tex]

Step-by-step explanation:

[tex]\sqrt{245}[/tex]=15.65

7[tex]\sqrt{5}[/tex]=15.65

Hope this helps! :)

Answer:

its is B

Step-by-step explanation:

I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)

A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the ladder is 15 ft from the base of the building. Before Levi climbs the ladder, he wants to make sure he has the ladder at a safe angle with the building before climbing. Find the angle of elevation the ladder makes with the ground.

a. approx. 51.3°

b. approx. 32.0°

c. approx. 38.7°

d. approx. 58.0°​

Answers

I am learning this right now but in two hours I will tell you

Answer:

A) 51.3 degrees

Step-by-step explanation:

cosine x=15/24=0.625

x=51.32 degrees

x²+8x-84=0

Formúla General ​

Answers

Answer:

                [tex]x_{1} =-14\\\\x_{2} =6[/tex]

Step-by-step explanation:

[tex]x^{2} +8x-84=0\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x=\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1}=\dfrac{-8 \pm \sqrt{400 } }{2}=\dfrac{-8 \pm20}{2} =-4 \pm 10\\\\x_{1} =-14\\\\x_{2} =6[/tex]

If you answer correctly the first one will get brainliest so plz answer correctly Which process in photosynthesis uses energy from the sun?(1 point) A splitting water into hydrogen and oxygen B combining carbon dioxide and hydrogen C absorbing carbon dioxide D releasing oxygen

Answers

Answer: A. splitting water into hydrogen and oxygen

Step-by-step explanation:

Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.

Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.

A, splitting water into hydrogen

‼️help please.‼️What is the slope-intercept equation of the line with a slope
4
of and a y-intercept of 3?
5

Answers

Answer:

C

Step-by-step explanation:

according to the standard equation;

Y=mX+C

or, Y=4/5X +3

eddie who earns $5 per hour worked two hours longer zach who earns $12 per hour. together they earn $30

Answers

5(h+2)+12(h)=30
h=20/17

what is the equation of a line that passes through points (0,7) and( 2,8)write your answer in slope intercept form

Answers

Answer:

(0,7) and (2,8)

slope =8-7=1

          2-0=2

m=1/2 meaning slope

equation=y-7/x-o=1/2

2(y-7)=1(x-0)

2y-14=x -o

2y=1x +14

y =1/2 x +7

Step-by-step explanation:

to get the slope is y 2-y 1 divide by x 2-x 1 to get 1/2

you then take one point as (x,y)  and one of the coordinates =the slope

then you divide by the 2 on both sides in order to get y=mx + c

I need help on this question

Answers

I believe this is pythag

15^2 x 11^2 = 27225

(square root) of 27225 = 165

165ft

if an object has a volume of 20 cubic inches and weights 28ounces what is the constant variation

Answers

Answer:

7/5 is the constant variation.

Hope this helps! Have a great day!

Find the value of x

A. 5 square root 2/2
B 5
C 10
D 10 square root 2

Answers

Answer:

The answer is C

Step-by-step explanation:

That side with the 5 is equal to 7.071067812.... (irrational number)

To get x you need to use the equation a^2 + b^2 = c^2

A^2 and B^2 will both be the same thing. The red line indicates they are the exact same length.

7.071037812.... ^2 is 50

Now your equation would be 50+50= c^2 (which is the same as x^2)

100= c^2 is simplified by finding the square root of 100.

Your answer is 10 for side X because the square root of 100 is 10.

This problem was solved using the Pythagorean Theorem.

The hypotenuse x of the right triangle is (c) 10

Finding the hypotenuse, x of the right triangle

From the question, we have the following parameters that can be used in our computation:

The right triangle

Where, we have

Leg a = 5√2

Leg b = 5√2

The hypotenuse of the right triangle can be calculated using the following Pythagoras theorem

h² = a² + b²

Using the above as a guide, we have the following:

x² = (5√2)² + (5√2)²

Evaluate

x² = 100

Take the square roots

x = 10

Hence, the hypotenuse of the right triangle is (c) 10

Read more about right triangle at

brainly.com/question/2437195

#SPJ6

What is the value of x

Answers

Answer:

x=12the opposite side of parallelogram are equal

Answer:

8

Step-by-step explanation:

Since, intercepts made by parallel lines on transversals are in proportion.

Therefore,

[tex] \frac{x}{24} = \frac{12}{36} \\ \\ \frac{x}{24} = \frac{1}{3} \\ \\ x = \frac{24}{3} \\ \\ x = 8[/tex]

Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 ​ % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 ​ % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?

Answers

Answer: John would have $1371.33 more in his account than Jack.

Step-by-step explanation:

Formula to calculate amount after t years if compounded continuously:

[tex]A=Pe^{rt}[/tex]

Formula to calculate amount after t years if compounded quarterly:

[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]

, where P= Principal amount, r= rate of interest.

Given: P= $7,600

t=19 years

For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]

For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]

Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]

[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]

Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]

[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]

Difference = 26290.77-24919.44 = $ 1,371.33

John would have $1371.33 more in his account than Jack.

Answer:668

Step-by-step explanation: I just did it.

En la tabla 1.8 se presentan los puntos de ebullición aproximados de algunos elementos de la tabla periodica flúor -180 hidrogeno -253 argón -186 helio -269 nitrógeno -196 neón -246 ¿Cuál es el elemento químico con el mayor punto de ebullición?¿ y con el menor?

Answers

Answer:

Lowest boiling point = helium.

Highest boiling point = fluorine

Step-by-step explanation:

Given :

fluorine -180

hydrogen -253

argon -186

helium -269

nitrogen -196

neon -246

Arranging the boxing points of each chemical element on a number line, the least which will be located to the leftmost part is Helium with a boiling point of - 269 ; while the highest will be fluorine which is - 186°C

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