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
Dafna11 [192]
3 years ago
7

Howie sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still

water. What is the rate of the current
Mathematics
1 answer:
lozanna [386]3 years ago
8 0

Answer: the speed of the current is 2.5 mph

Step-by-step explanation:

Let the speed of the boat be x miles per hour

Let the speed of the current be y miles per hour

Speed = distance / time

Time = distance/speed

If the boat goes 12miles downstream(in still water) at 15 mph then, the time is

12/ 15 = 0.8 hours

In still water, it means that it moved in the same direction with the current.

The total speed would be x + y. Therefore

x + y = 15 - - - - - - -1

If the boat goes 8 miles upstream in 0.8 hours, the the speed is

8/ 0.8 = 10 miles per hour

Assuming it moved in the opposite direction to the current.

The total speed would be x -y. Therefore

x - y = 10 - - - - - - -2

Adding equation 1 and equation 2, it becomes

2x = 25

x = 25/2 = 12.5

y = 15 - x

y = 15 - 12.5 = 2.5 miles per hour

You might be interested in
Ariana works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commission on
Tanya [424]
543.75 + 250= 793.75
3 0
2 years ago
Given z1 and z2, what is the midpoint?<br><br> z1=5-7i and z2=-9+3i.
sveta [45]

Answer:

7-2i

Step-by-step explanation:

As you're used to do in the real plane, midpoint is the average of Real and Imaginary part. So \frac{5+9}2 +i \frac{-7+3}2 = \frac{14}2+i\frac{-4}2 = 7-2i

7 0
2 years ago
What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units? square root of 8 units 4 units squa
ycow [4]
By the Pythagoras theorem, in a right triangle with the sides being a and b,

 a² + b² = Hypotenuse²

Hypotenuse² = 4² + 4²

Hypotenuse² = 16 + 16 = 2*16

Hypotenuse = √2 * √16

Thus, hypotenuse = 4√2


7 0
3 years ago
Read 2 more answers
All the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional boxe
AveGali [126]

Answer:

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

Step-by-step explanation:

Given that all the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over.

This implies that boxes are in multiples of 12

i.e. 12, or 24, or 36 or....

Let us say this as 12m for m an integer

Now additional boxes arrived =60

Total number of boxes now = 12m+60

This when arranged in stacks of 14,nothing left out

Or this is multiple of 14

12m+60 = 14n for some positive integer n.

By trial and error we find that if 60 is to be divided by 14, 24 should be added and 24 is a multiple of 12.

So we say originally 24 boxes were there now 84 boxes there.

Hence both options are right.

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

3 0
3 years ago
Doug took 180 photos during his vacation. He took 2/3 of photos during
pogonyaev

<u>Answer:</u>

66 pictures

<u>Step-by-step explanation:</u>

180 ÷ 3 = 60      60 x 2 = 120

120 = 2/3. He took <em><u>120 pictures on the first day </u></em><em><u>of his vacation.</u></em>

120 ÷ 4 = 30    30 x 1 = 30

30 = 1/4. <em><u>He took </u></em><em><u>30 pictures of landscapes</u></em>

120 ÷ 10 = 12     12 x 3 = 36

0.3 = 36. <em><u>He took </u></em><em><u>36 pictures of people.</u></em>

36 + 30 = 66 pictures.

<em><u>He took 66 pictures of landscapes and people.</u></em>

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

7 0
2 years ago
Other questions:
  • Explain how to write 5/3 as a product
    13·1 answer
  • How many different ways can i select 2 of 6 candy bars?
    5·1 answer
  • The annual growth of Kyle's butterfly collection is represented by the table. What does the 5 represent?
    11·2 answers
  • Rosa is saving money for a trip. She has already saved $250 and plans to save $40 per week. This situation can be represented by
    8·1 answer
  • Use the binomial theorem to expand (d-4b)^3 <br>Please explain.
    13·1 answer
  • Can someone help me with questions 56
    9·2 answers
  • Prove that<br>1/1+root 2 + 1/root2 + root3 + 1/root3 + root4 + 1/root8 +root9 = 2​
    5·1 answer
  • Complete the equation of the line whose slope is -2 and y intercept is (0,3)​
    14·1 answer
  • PLEASE help me this is due tomorrow!!
    14·1 answer
  • Find the area of the figure <br> 9 mm
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!