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
valentina_108 [34]
3 years ago
8

A boat can travel 21mph in still water. If it travels 270 miles with the current in the same length of time it travels 108 miles

against the current, what is the speed of the current?
Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer: the speed of the current is 9 mph.

Step-by-step explanation:

Let x represent the speed of the current.

A boat can travel 21 mph in still water. If it travels 270 miles with the current. It means that the total speed with which the boat travelled with the current is (21 + x) mph.

Time = distance/speed

Time spent by the boat in travelling 270 miles is

270/(21 + x)

In the same length of time, it travels 108 miles against the current. It means that the total speed with which the boat travelled against the current is (21 - x) mph.

Time = distance/speed

Time spent by the boat in travelling 108 miles is

108/(21 - x)

Since the time is the same, then

270/(21 + x) = 108/(21 - x)

270(21 - x) = 108(21 + x)

5670 - 270x = 2268 - 108x

108x + 270x = 5670 - 2268

378x = 3402

x = 3402/378

x = 9

You might be interested in
Solve each problem and decide which is the best of the choices given.
Nikitich [7]
55 is the answer !!!!
3 0
2 years ago
Read 2 more answers
-1/2x - 3 =4 <br> which is the value of x?
garik1379 [7]

Answer:

x = -14

(っ◔◡◔)っ ♥ Hope It Helps ♥

5 0
3 years ago
Read 2 more answers
GIVEN PARALLELOGRAM ABCD, FIND THE LENGTHS AND ANGLES REQUIRED
Scrat [10]
Co-interior properties. 180 degrees = two co-interior angles.

180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5     /5
18 = y

Angle 1: 2y + 50
              2(18) + 50
              36 + 50
              86

Angle 2: 3y + 40
              3(18) + 40
              54 + 40
              94

86 + 94 = 180 so it is true.

Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal

5x + 2 = 8x - 7
        2 = 3x - 7
        9 = 3x
       /3    /3
        3 = x

Side 1: 5x + 2
            5(3) + 2
           15 + 2
           17

Side 2: 8x - 7
            8(3) - 7
            24 - 7
            17

Both sides are equal; 17.

Angle 1: 86
Angle 2: 94
Sides: 17
6 0
3 years ago
Simplify (x^2-8x+2) - (3x^2+x-1)
REY [17]

Answer:

−2x^2 − 9x + 3

Hit Brainliest if this was helpful! :)

5 0
2 years ago
A man bought a refrigerator, an air conditioner, a TV set and a gas cooker for $150.00, $400.00, $180.00 and $300.00 respectivel
MArishka [77]

Answer:

1184.5

Step-by-step explanation:

150+400+180+300=1030

1030 × 15% = 154.5

(15% is also 0.15)

1030 + 154.5 = 1184.5

I hope this helps you :)

8 0
3 years ago
Other questions:
  • Company A makes a large shipment to Company B. Company B can reject the shipment if they can conclude that the proportion of def
    6·1 answer
  • Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $
    14·2 answers
  • Which rules give a repeating pattern that has a 7 as the 15th number? Select all that apply.
    5·1 answer
  • What is a value or values that make an equation true
    7·1 answer
  • Find the equation of a line that bisects the line segment joining the points (-1, 3) and (5, -3) and intersects the x-axis at th
    9·1 answer
  • 5.5 over x = 1.375 over 11
    11·1 answer
  • If the cotangent and tangent are reciprocals of each other, then what is the cotangent of an angle if the tangent of the same an
    10·1 answer
  • 7, -3, , -0.8, 0.8, - , -2 <br> Order the numbers from least to greatest.
    5·2 answers
  • yo who here likes kpop give me some recs . current groups i stan are shinee , txt , stray kids , bts , and enhypen
    15·2 answers
  • I NEED HELP ASAP!!!!<br> I WILL GIVE A BRAINELEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!