1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rusak2 [61]
2 years ago
13

A boat's speed in still water is 4 km/h. The boat cruises from A to B along a river flowing at an average speed of x km/h in the

direction A to B. If the distance AB is 5 km and the boat takes 2 hours more on its return journey, determine x. Hence, find the total time taken for the whole journey.​
Mathematics
1 answer:
nlexa [21]2 years ago
6 0

Answer:

Answer: The speed of the boat in still water or 'b' = 10 km/h. The speed of the current or the river = 4 km/h. Therefore the speed of the boat when going upstream = b – r = 10 – 4 = 6 km/hr.

You might be interested in
Need help please help me
ANTONII [103]
Megan:
x to the one third power =  x ^{1/3}
<span>x to the one twelfth power = </span>x ^{1/12}

<span>The quantity of x to the one third power, over x to the one twelfth power is:
</span>\frac{x ^{1/3}}{x ^{1/12}}
<span>
Since </span>\frac{ x^{a} }{ x^{b} } = x ^{a-b}
then \frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12}

Now, just subtract exponents:
1/3 - 1/12 = 4/12 - 1/12 = 3/12 = 1/4

\frac{x ^{1/3}}{x ^{1/12}} = x^{1/3-1/12} = x^{1/4}


Julie:
x times x to the second times x to the fifth = x * x² * x⁵

<span>The thirty second root of the quantity of x times x to the second times x to the fifth is
</span>\sqrt[32]{x* x^{2} * x^{5} }
<span>
Since </span>x^{a}* x^{b}= x^{a+b}
Then \sqrt[32]{x* x^{2} * x^{5} }= \sqrt[32]{ x^{1+2+5} } =\sqrt[32]{ x^{8} }

Since \sqrt[n]{x^{m}} = x^{m/n} }
Then \sqrt[32]{ x^{8} }= x^{8/32} = x^{1/4}

Since both Megan and Julie got the same result, it can be concluded that their expressions are equivalent.
3 0
3 years ago
How do you calculate the residuals for a scatterplot?
dsp73

To find the residual I would subtract the predicted value from the measured value so for x-value 1 the residual would be 2-2.6 = -0.6

7 0
3 years ago
Read 2 more answers
100+points &amp; Brainliest<br><br> what is the simplified form of y2 + 7y + 12 / y2 + 8y + 15
Fantom [35]
(y^2 + 7y +12) / (y^2+8y +15)

factor both equations:

(y+3)(y+4) / (y+3) (y+5)

cancel out common factors to get:

y+4 / y+5
8 0
3 years ago
Read 2 more answers
Can someone please help me with these! I don’t understand them
Vera_Pavlovna [14]

Answer:

Question #1

m∠4 + m∠7 = 180° - Given.

∠4 and ∠7 are supplementary angles - Definition of supplementary angles.

∠7 and ∠2 form a linear pair - Definition of linear pair.

∠7 and ∠2 are supplementary angles - Definition of linear pair.

m∠7 + m∠2 = 180° - Definition of supplementary angles.

m∠2 = m∠4 - Substitution property.

c ║ d - Converse of corresponding angles postulate.

Question #2

m∠3 = m∠8 - Given.

∠8 and ∠6 form a linear pair - Definition of linear pair.

∠8 and ∠6 are supplementary angles - Definition of linear pair.

m∠8 + m∠6 = 180° - Definition of supplementary angles.

∠3 and ∠6 are supplementary angles - Substitution property.

m∠3 + m∠6 = 180° - Definition of supplementary angles.

Question #3

p ║ q - Given.

∠1 ≅ ∠5 - Given.

∠1 ≅ ∠2 - Alternate interior angle theorem.

∠2 ≅ ∠5 - Substitution property.

~Hope this helps!~

5 0
3 years ago
I’m really confused can you please help me???
Elena L [17]

Answer:

3. the mode is 5 and 7

4. she tested 5

5. clare has tested 3 friends

6. 12

5 is the median for both on number 7

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • summarize how to rewrite a rational power- where a number is raised to a rational exponent, as a radical term.
    5·1 answer
  • 20 POINTS
    8·2 answers
  • (Please answer before 5:15 P.M tonight)
    11·1 answer
  • Solve for X<br> x/7 = -8<br> Please help!!!<br> Worth 20 points!!!<br> I need an answer ASAP!!!
    7·1 answer
  • Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x
    6·2 answers
  • 1960 there were 3,000 million people on earth, in 1999 there were 6,000 million people on earth, what was the approximate rate o
    8·1 answer
  • Help help pleaseeee i dont understand what its asking thank you
    10·1 answer
  • the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers
    5·2 answers
  • There are 88 girls and 96 boys in the sixth-grade what is the rate of girls to boys
    7·1 answer
  • 6. A certain federal agency employs three consulting firms; A, B and C. The probability that the federal agency employs company
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!