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
Mice21 [21]
3 years ago
15

Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,

against the current, in 0.56 hours. Assuming his rowing speed and the speed of the current are constant, what is the speed of the current?
A) 3 miles per hour
B) 8 miles per hour
C) 11 miles per hour
D) 14 miles per hour
Mathematics
2 answers:
NeX [460]3 years ago
8 0

Answer:

3 mph

Step-by-step explanation:

Molodets [167]3 years ago
3 0
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11

Therefore, the speed of the current is 3 miles per hour.

You might be interested in
Anyoneee help im stuck !! 15 points!!
Gnom [1K]

Answer:

Given: \angle 1, \angle 2, \angle 3, \angle 4 formed by two intersecting segments.

In the given figure;

Linear pair states that a pair adjacent angle formed when two lines intersect.

Then by definition of linear pairs,

\angle 1  and  \angle 2 forms a linear pair

Also,  \angle 2  and  \angle 3 forms a linear pair.

Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).

Then by linear pair postulates;

m\angle 1+ m\angle 2 =180^{\circ}

and

m\angle 2+m \angle 3 =180^{\circ}

Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.

then by substitution property of equality:

m\angle 1+m\angle 2=m\angle 2+ m\angle 3

Addition property of equality states that:

if x =y,  then x + z = y+ z

By addition property of equality:

m\angle 1 =m\angle 3     hence proved!

6 0
3 years ago
40 as a product of its prime factor can be written like this 40=2x2x2x5 write 60 as a product of its prime factor write in order
olga_2 [115]

Answer:

2^2x3x5

Step-by-step explanation:

7 0
3 years ago
Explain how you decide wether to multiply or divide by 3 if you need to convert yards to feet.
Valentin [98]

Answer:

Step-by-step explanation:

Converting yards to feet means that we want the label of yards to cancel, leaving feet as our label. Use the factor-label method taught in chemistry.

???yds *\frac{3feet}{1yd}

The yards label cancels out, leaving feet as our label.  So to answer the question, in order to convert from yards to feet you are multiplying by 3.

6 0
3 years ago
After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
puteri [66]

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

<em />

<em>collect similar terms together</em>

<em />

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

0 + 7 = -b

7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

Learn more about simplification of algebraic expression here: brainly.com/question/8956927

5 0
2 years ago
Please help me with this question
Bezzdna [24]

Answer:

1.03

Step-by-step explanation:

To find the volume of a prism, find the area of the base and multiply it by the height.

The base is an octagon. The area is found A = 2(1+\sqrt{2})a^2. Substitute a = 0.5.

A = 2(1+\sqrt{2})(0.5^2)\\A = 4.828...(0.25)\\A = 1.21

The volume is 1.21*2.5 = 3.025.

However, there are three holes drilled out half way which each have volume 0.06.

The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.

V = π(0.125)²(1.25) = 0.06.

Since there are 3, they equal 3*0.06 = 0.18.

Subtract this from the volume.

1.21 - 0.18 = 1.03

4 0
3 years ago
Other questions:
  • 18 tens 20 ones = hundreds
    13·2 answers
  • One number is 3 more than another. The difference between their square is 63. What are the numbers?
    15·1 answer
  • Please Help me solve this problem and tell me how Solve #30:
    11·1 answer
  • What do we get when we multiply 0.482482 by 1000?
    10·1 answer
  • |2x-1|=10 find the solution
    9·1 answer
  • What is the greatest common factor Of 60 45 and 75
    5·2 answers
  • A P E X!!!! URGENT :The annual interest rate of Belinda's savings account is 8.6% and simple interest is calculated quarterly. W
    7·2 answers
  • Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object.
    13·1 answer
  • Can someone plz help me
    6·1 answer
  • HURRY UP 10 MIN LEFT (100 points)!!!!!!!!!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!