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]
​

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:

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]

Step-by-step explanation

Answer:

Slope = -3

Step-by-step explanation:

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

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

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:

Answer:

I'm thinking the anwer is B

Step-by-step explanation:

I remember doing this problem before :)

Answer:

.88 Euro

Step-by-step explanation:

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

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

Answer:

118.72

Step-by-step explanation:

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

Answer:

well like this 3/8

Step-by-step explanation:

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

Answer:

23x2x2

Step-by-step explanation:

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*

Answer:90

Step-by-step explanation:

900/10 = 90

Answer: 90

Step-by-step explanation:

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.

Answer:

i think that the correct answer is 7/12

Answer:

5^9

Step-by-step explanation:

I had this question before.

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

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

Answer:

-1/6

Step-by-step explanation:

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

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

"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

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! :)

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.

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.

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

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

Answer:

s(c)= 4.4c

Step-by-step explanation:

Answer is D)

no solution

[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

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