A boat can travel 16 Kilometers per hour in still water. The boat travels 15 kilometers down a river and then 15 kilometers up stream. The entire trip takes 5.5 hours. Which equation describes the current, c, of the river?

a)
[tex] \frac{16}{15 + c} + \frac{16}{15 - c} = 5.5 [/tex]
b)
[tex] \frac{5.5}{16 + c} + \frac{5.5}{16 - c} = 15 [/tex]
c)
[tex] \frac{5.5}{15 + c} + \frac{5.5}{15 - c} = 16 [/tex]
d)
[tex] \frac{15}{16 + c} + \frac{15}{16 - c} = 5.5[/tex]

Answers

Answer 1

Answer:

d)

Step-by-step explanation:

the sites of the boat alone is 16 km/h.

downstream and upstream the effective speed is then influenced plus and minus by the current.

the distance traveled is 15km.

as speed = distance/time

then distance / speed = distance / (distance/time) = time

and we know the time it takes : 5.5 hours.

so, only answer d uses the right values in the "right places".


Related Questions

9.2 less than 3 times a number is the same as 2114.What is the number?

Answers

Answer:

707.7

Step-by-step explanation:

3x-9.2 = 2114

2114+9.2 = 2123.2

3x = 2123.2

x = 707.7

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15

Frank pays 2.85 for a bag of 15 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.

Answers

Answer:

19 cents because 2.85/15=0.19ct   and now we round it up its 20cents!

Step-by-step explanation:

Hope this helps!

Answer:

The answer is $0.19

Step-by-step explanation:

Divide 2.85 by 15.

2.85 ÷ 15 = 0.19

The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?

Answers

Answer:

s(c)= 4.4c

Step-by-step explanation:

Help? Find the exact value.

Answers

That’s the answer for the question

During a job interview, you are asked to rate on a scale of 1 to 5 how happy you are. What type of test is the interviewer giving you

Answers

Answer:

Probably how much you want this job, if you say 0, than they are prob gonna assume you dont want to do this job, and you wont do your best. If you say 5, then you do want this job and your excited and youll give your all

Step-by-step explanation:

Questions regarding the level of excitement or happiness of one's self are called mental health or happiness test.

Happiness test are administered to evaluate personal feeling of excitement, hence, it cannot be taken on one's behalf as they are personified information.

Happiness test are usually structured as "How happy are you". Hence, they are direct and usually measured using an Ordinal scale.

Hence, the type of test on this context is Happiness test.

Learn more ::https://brainly.com/question/3565320

I just woke up i need help ;-;

Answers

Answer:

i think that the correct answer is 7/12

Gigi graphs the parabola (x+1)2=2(y−3).

How does she proceed?

Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.

Answers

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

Learn more about conic sections here: https://brainly.com/question/12854078

Answer:

I took the quiz.

Step-by-step explanation:

Find the percentage change of the first quantity with reference to the second quantity: 72 units, 60 units.

Answers

Answer:

Step-by-step explanation:

120 percent,

because if you divide by 6, you will get 10:12 and if you make the 10 a 100, you multiply both by 10, so 12 x 10 = 120 which means it is 20 percent because you have to subtract 100 from the quantity. so it is 20 percent

*Or 120 percent, I dont know though*

what is a ratio of two different measurements where the 2nd measurement is 1.

Answers

Answer:

A "rate" is a ratio involving a comparison of 2 quantities that have different unites of measurement. An example of this can be miles per hour or g/mL

Step-by-step explanation:

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Step-by-step explanation

An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?

Answers

Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Marked down 1/9 means it sold for 8/9 of the original price.

Divide the sale price by 8/9:

224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252

The original price was $252

Solve the slope for the table.

Answers

Answer:

Slope = -3

Step-by-step explanation:

8-17/0+3=-9/3=-3 : Slope Formula

A sno-cone machine priced at $140 is on sale for 20% off. The sales tax rate is 6%. What is the price of the sno-cone machine after the discount and sales tax?
A) $112.00
B) $118.72
C) $28.00
D) none of the above

Answers

Answer:

118.72

Step-by-step explanation:

I just used my calculator 0-0 hope this helped :)

a/6-1/2=1/3 thats 7 grade math

Answers

Answer: a = 5

Step-by-step explanation:

a/6-1/2=1/3

a/6 = 1/3 + 1/2

a/6 = 2/6 + 3/6

a/6 = 5/6

a = 5

Check:

5/6-1/2 = 1/3 ?

5/6 - 3/6 = 1/3?

2/6 = 1/3  ?

1/3 = 1/3   YES

Answer:

a = 5

Step-by-step explanation:

a/6 - 1/2 = 1/3

=> a/6 = 5/6

=> a = 5

Hoped this helped.

how can u calculate 23x4 if the 4 buton is broken?

Answers

Answer:

23x2x2

Step-by-step explanation:

Ms. Adam drives 150% of Mr. Gilbert’s distance. How far does Ms. Adam drive?

Answers

Answer:

first tell how far does Mr. Gilbert drive???

Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.

Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12

I hope this helps! :)

I GIVE BRAINLIST ON ALL MY QUESTIONS !!

solve the system of equations using substitution

y= 2x + 4
2x - y =6

A) (2, 8)
B) (2, -8)
C) (10, 24)
D) no solution

Answers

Answer is D)

no solution

im stuck on this problem can someone help me? (see photo) ​

Answers

Answer:

I'm thinking the anwer is B

Step-by-step explanation:

I remember doing this problem before :)

2. How many tens are in 9 hundreds?

Answers

Answer:90

Step-by-step explanation:

900/10 = 90

Answer: 90

Step-by-step explanation:

Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?

Answers

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

write the following fraction as decimals numbers 29/10 329/100 72/1000 2/1000

Answers

[tex] \frac{29}{10} = 2 \frac{9}{10} [/tex]

[tex] \frac{329}{100} = 3 \frac{29}{100} [/tex]

[tex] \frac{72}{1000} = \frac{9}{25} [/tex]

[tex] \frac{2}{1000} = \frac{1}{50} [/tex]

I DON'T KNOW IF CORRECT

Answer:

i) 2.9

ii) 3.29

iii) 0.072

iv) 0.002

Step-by-step explanation:

i) 29/10 = 2.9

ii) 329/100 = 3.29

iii) 72/1000 = 0.072

iv) 2/1000 = 0.002

It's Helpful For All

Mark me Brainliest

2. What is the exchange rate? Show your work. 1 US dollar = ___________ euro
help pls :(

Answers

Answer:

.88 Euro

Step-by-step explanation:

One U.S. dollar is equivalent to .88 Euro. Have a nice day!

Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?

Answers

Answer:

well like this 3/8

Step-by-step explanation:

3/8 and rest is 5/8 in fraction form

Griff needs $46.35 more to buy a video game that costs $75.00, how much money does he already have?

Answers

Griff already has $28.65

2/3 subtracted from 1/2

Answers

Answer:

-1/6

Step-by-step explanation:

[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]

What does the degree of the polynomial tell you.

Answers

A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.

I NEED THE ANSWR ASAP: Write the number as a power with a base of 5.
125^3

Answers

Answer:

5^9

Step-by-step explanation:

I had this question before.

What has she done wrong?

Answers

Answer:

see explanation

Step-by-step explanation:

Her error is in squaring (2y)²

She has (2y)² = 2y²

when it should be 2y × 2y = 4y²

Then

(2y)² = 6² + 8²

4y² = 36 + 64

4y² = 100 ( divide both sides by 4 )

y² = 25 ( take square root of both sides )

y = [tex]\sqrt{25}[/tex] = 5

HELP PLEASE ASAP WILL GIVE BRAINLIEST

Farmer Hopt started with some alabers on her farm. She had 90 alabers after 5 months. After 16 months, she had 167 alabers. Assume a constant rate of change.

Write an equation in slope-intercept form for total alabers, y, after x months.

Answers

Answer:

[tex]y= 11x+35[/tex]

Step-by-step explanation:

Let's find the slope first. It took hopt 11 months (from 5 to 16) to grow 77 trees. It means that each month he grew [tex]\frac{77}{11} = 7[/tex] trees.

At this point you can use the point-slope form and re-write the equation or, let's think about it. It's a direct proportion. If at month 5 she has 90 trees, one month earlier she had 11 less. two month earlier, 22 less. 5 month earlier, or at x = 0 (ie, our intercept!) she had 55 less trees, or 90-55 = 35 trees

The equation is then [tex]y= 11x+35[/tex]

3850 times a 1.3% interest rate for 6 years

Answers

"sam places 3850 in a bank account that pays 1.3% simple interest per year and how much interest will she earn in 6 years | Wyzant Ask An Expert" https://www.wyzant.com/resources/answers/646803/sam-places-3850-in-a-bank-account-that-pays-1-3-simple-interest-per-year-an3850

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