A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles if the river current is 2 km/h (2 answers)

Answers

Answer 1

Answer:

Step-by-step explanation:

5 km/h or 6 km/h

Step-by-step explanation:

Let the speed of the boat be x

Speed against the current in the river is x - 2

Time in the river:

6/(x - 2)

Time in the lake:

15/x

The difference:

6/(x - 2) = 15/x - 1

Solve for x to find the speed of the boat

Multiply both sides by x(x - 2) to clear the fraction:

6x = 15(x - 2) - x(x - 2)

6x = 15x - 30 - x² + 2x

x² - 11x + 30 = 0

(x - 5)(x - 6) =0

x -5 = 0, x - 6 = 0

x = 5 km/h, x = 6 km/h


Related Questions

A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of gras
area where the tree once was?

Answers

Answer:

about 38.48 square feet

Triangle ABC is rotated counterclockwise using the origin as the center of rotation. The preimage and image are shown in the graph below. On a coordinate plane, triangle A B C has points (negative 4, negative 2), (negative 2, 1), (negative 2, negative 1). Triangle A prime B prime C prime has points (1.2, 4.2), (2, 1), (0, 2.9). Which rotation could have taken place?

Answers

Answer: it would be C. a 225° rotation

Step-by-step explanation: I got it correct

Answer:

C

Step-by-step explanation:

Hits 2) How many solutions does the inequality have?
A) 0
B) 1
C) 8
D) infinitely many​

Answers

9514 1404 393

Answer:

  D)  infinitely many

Step-by-step explanation:

There are infinitely many points on any portion of the number line. The shading on the graph indicates all numbers less than or equal to 8 are solutions. There are infinitely many such numbers.

What's the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21

Answers

Solution :

We have to find the largest fraction in each group.

a). [tex]$\frac{5}{6}$[/tex] and [tex]$\frac{29}{36}$[/tex]

    [tex]$\frac{5}{6}$[/tex]  →  when we divide the number 5 with 6, we get 0.833

    [tex]$\frac{29}{36}$[/tex] → when we divide 29 by 36, we get the value 0.805

Therefore, in this group, [tex]$\frac{5}{6}$[/tex] is the largest fraction.

b).  [tex]$\frac{5}{12}$[/tex] and [tex]$\frac{3}{8}$[/tex]

     [tex]$\frac{5}{12}$[/tex]  →  when we divide the number 5 with 12, we get 0.416

    [tex]$\frac{3}{8}$[/tex] → when we divide 3 by 8, we get the value 0.375

Therefore, in this group, [tex]$\frac{5}{12}$[/tex] is the largest fraction.

c).  [tex]$\frac{2}{5}$[/tex] and [tex]$\frac{19}{45}$[/tex]

     [tex]$\frac{2}{5}$[/tex] →  when we divide the number 2 with 5, we get 0.40

    [tex]$\frac{19}{45}$[/tex] → when we divide 19 by 45, we get the value 0.42

Therefore, in this group, [tex]$\frac{19}{45}$[/tex] is the largest fraction.

d).  [tex]$\frac{5}{7}$[/tex], [tex]$\frac{13}{14}$[/tex] and  [tex]$\frac{19}{21}$[/tex]

      [tex]$\frac{5}{7}$[/tex] →  when we divide the number 5 with 7, we get 0.714

    [tex]$\frac{13}{14}$[/tex] → when we divide 13 by 14, we get the value 0.928

    [tex]$\frac{19}{21}$[/tex]  → when we divide 19 by 21, we get the value 0.904

Therefore, in this group, [tex]$\frac{13}{14}$[/tex]  is the largest fraction.

Five less than twice the value of a number is equal to three times the quantity of
four more than one-half the number. What is the
number?
a. Let x be the number. Write and solve an equation to find x. Show your work.
b. Does the solution of your equation solve the original problem? Explain.

Answers

Answer:

a) x = 34

b) yes, it checks out

Step-by-step explanation:

2x - 5 = 3(4 + 1/2x)

multiply both sides by 2 to eliminate fraction

2[2x - 5 = 3(4 + 1/2x)] = 4x - 10 = 24 + 3x

x - 10 = 24

x = 34

check

2(34) - 5 = 3(4 + 34/2)

68 - 5 = 3(4 + 17)

63 = 3(21)

63 = 63

Which type of transformation is described by (x, y) (x + 2, Y-3)?

Answers

Answer:

I’m good at math but not that good

Step-by-step explanation:

Brian is standing on a platform that is 4 feet above the surface of a pool. He jumps into the pool and reaches a depth of 7 feet below the surface.

Write an inequality that compares Brian's distance above and below the surface of the pool.

Answers

Answer:

7×4=28

Step-by-step explanation:

hope this helps you out

what is the solution of 9x+4<7-3n IF X is an element of whole number

Answers

Answer: if you want me to solve for n or x here

Step-by-step explanation: hope this help:)

if XY=10 and YZ=8.5 then XZ must be greater that ______, and less than _____.​

Answers

Answer:

Your answer is

1.5<XZ<18.5

Hope that this is helpful. Tap the crown button, Like & Follow me

-14 = 4x - 2
what is the x ?

Answers

Answer:

X = -3

Step-by-step explanation:

8.6 x10^-9 in standard form

Answers

-9 in power means that the value is in fractional and the 10 base is multipied 9 times and put it on denominator.

8.6 = 86 x 10^-1

Let's multiply :

86 x 10^-1 x 10^-9

= 86 x 10^-10

= 86/10000000000

=0,0000000086

Note : if you don't know about how 10^-1 x 10^-9 returns 10^-10, it's because of exponential rules. If the base are same wuth each other, then just do the addition operation in the exponent like this :

10^(-1+(-9))

= 10^(-1-9)

=10^-10

Hope it helps :)

Help please! I don't really understand :/

Answers

so you take 2 hours and multiply it by 5 cause you get $5 per hour. Then multiply 6.25 by 5. Add those together to get your answer!! So 5x2= 10. 6.25x5= 31.25. THE ANSWER SHOULD BE 41.25!

WHAT I CAN DO
Read, analyze and solve.
1. Cesar invited 300 kids in the party. Only 15% of the kids did notshow up. How
many kids came to the party?
2. Rosa got 20% of an 80 item test incorrectly. How many items did she get
correctly?
3. There were 50 pupils in Grade Ill. If 28% of the pupils were absent, how many
pupils were present?
4. Out of 50 pupils, only 48 pupils joined the educational fieldtrip. What percent
joined the trip?
5. Among the 50 pupils in a Grade 6 class, 6% are left-handed. How many are left-
handed?​

Answers

1.

300 x 0.15 = 45

300 - 45 = 255

255 kids came to the party

//

2.

80 x 0.20 = 16

80 - 16 = 64

She got 64 items correctly

//

3.

50 x 0.28 = 14

50 - 14 = 36

36 pupils were present

//

4.

48 / 50 = 0.96

0.96 x 100 = 96.0%

96% joined the trip

//

5.

50 x 0.06 = 3

3 pupils are left handed

need help with all 3 pleaseeee

Answers

A.
A.
D.
Hope this helps!!
A
A
D
Hope this helps!!

Does: 2(4x + 10) = 8x + 20 has, One, None, Infinitely Many Solutions? You must show your work.

Answers

Answer:

one solution

Step-by-step explanation:

2( 4 + 1 0 ) = 8 +2 0   = 2 8 + 2 0

Subtract  

from both sides of the equation

Simplify  

Subtract  8  from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Solution   = − 5 /2

PLEASE HELP
it hasn’t been a good day and i don’t feel like doing this

Answers

Answer:

Both are quadrant

Step-by-step explanation:

What is the value of x?
Round your answer to the nearest tenth.

Answers

Answer:

2.4

Step-by-step explanation:

Because of AA Similarity, we have BDC is similar to FHG. We know that FH is 2/5 times BD so FG is 2/5 times BC which is 6*2/5 = 12/5 = 2.4

whats the radius for 3(x-1)^2+3(y+3)=243

Answers

3(x-1)2+3(y+3)=243
3(x-1)2+3y+9=243
3(x2-1)+3y+9=243
3x2-3+3y+9=243
32+3y-3+9=243
32+3y=243+3-9
3y(y+1)=237

Which expressions are equivalent to the one below? Check all that apply.
25%
A. 52.5*
B. 5. 52x
C. 5.5%
D. 54.5
E. (5.5)*
F 52x

Answers

Answer:

a,b,d

Step-by-step explanation:  jusrt the answer, take my word u totally wont fail lol

The equivalent value of the expressions are solved by the exponents

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 25ˣ

On simplifying , we get

A = ( 5 . 5 )ˣ

A = ( 25 )ˣ

And , A = 5ˣ . 5ˣ

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

A = 5²ˣ

A = 25ˣ

Hence , the expressions are ( 5 . 5 )ˣ = 5²ˣ = 5ˣ . 5ˣ = 25ˣ

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ7

The complete question is attached below :

Which expressions are equivalent to the one below? Check all that apply.

25ˣ

Find the upper bound

Answers

The upper bound is 56cm I think

66.6% recurring is what as a fraction​

Answers

Answer:

wfe

Step-by-step explanation:

333/500

Answer:

2/3

Step-by-step explanation:

2/3=0.6666666667 or 0.6 recuring

the two lines below are parallel if the slope of the red line is 5 what is the slope of the green line​

Answers

Answer:

5

Step-by-step explanation:

Since the two lines are parallel, they must have the same slope. This means that the slope of green line must be 5 just like the red line. You can also use the slope formula (rise/run) or change in y divided by change in x.


5. Suppose you invested PHP 25,000 at a simple interest at a rate of 2.5%, how much will be your investment after
10 years? a. PHP 43,750.00
C.PHP 45,730.00
b. PHP 31,250.00
d. PHP 47,350

Answers

Answer:

b. PHP 31,250.00

Step-by-step explanation:

Simple interest = principal × rate × time

Principal = PHP 25,000

Rate = 2.5%

Time = 10 years

Simple interest = principal × rate × time

= PHP 25,000 × 2.5% × 10

= 25,000 × 0.025 × 10

= 6,250

Simple interest = PHP 6,250

Investment after 10 years = principal + simple interest

= PHP 25,000 + PHP 6,250

= PHP 31,250

Investment after 10 years = PHP 31,250

4. Which of the following graphs represents y = x-2?
HURRRY PLSSSS. I NEED IT ASAP

Answers

Answer:

B

Step-by-step explanation:

when it says -2 that means you go straight down

Answer:

B

Step-by-step explanation:

-2 in the equation is the y intercept and the slope is positive so graph B is the only possible answer

Write an equivalent expression. ​-2(7+5g)

Answers

Answer:

-2(7) + -2(5g)

Step-by-step explanation:

Using the distributive property we can confirm that:

-2(7) + -2(5g) = -2(7+5g)

Answer:

−14−10g

Step-by-step explanation:

First, solve the product:

-2 ⋅ 7 - 2 ⋅ 5g

Multiply -2 times 7 to -14.

So, the equivalent expression would be:

-14 - 2 ⋅ 5g = -14 - 10g

-14 - 10g

hi hi!! please help, it’s 8th grade algebra

Evaluate the following expression:
(16 - 2*2*2) / (12-5*2)
(give answer as a
number... NO WORDS)

Your answer:

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(16 - 2*2*2)/ (12-5*2)

(16 - 8)/(12-10)

8/2

4

Sorry, if this doesn't help.

Simplify:
(4/2d^2)^3

Answers

8/d^6


it needs to be 20 characters long so

Answer:

Step-by-step explanation:

[tex](\frac{4}{2}d^{2})^{3} =(2d^{2})^{3}\\\\= 2^{3}*(d^{2})^{3}\\\\=8d^{2*3}\\\\= 8d^{6}\\[/tex]

Hint: [tex](a^{m})^{n}=a^{m*n}\\\\[/tex]

Write 3 60/79 as an improper fraction.

Answers

Steps

3 60/79

•Finding the top part of the fraction

#Firstt times 79 with 3

79× 3 = 237

#Then, u plus it with 60

237 + 60 = 297

•Bottom part

#The bottom part of the fraction stay the same so,

297/79

Answer : 297/79

#Hope my answer is correct cuz i dont use calc to do this

what is the area of a rectangle if the length is (4x + 2) cm and a width of (5x – 3) cm

Answers

Answer:

20x^2−2x−6

Step-by-step explanation:

(4x+2)(5x+−3)

=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)

=20x2−12x+10x−6

=20x2−2x−6

(4x + 2)(5x - 3)

Multiply:

4x(5x) = 20x^2
4x(-3) = -12x
2(5x) = 10x
2(-3) = -6

Combine Like Terms:

10x-12x = -2x

Answer:
20x^2 - 2x - 6

30+5z+5z=180
what is the value of z

Answers

Answer:

15

.......................

the value of z is 15
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