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jarptica [38.1K]
3 years ago
13

In still water Kevin and Virginia can paddle a canoe at 12mph.It takes them a total of 6hours to paddle 32 miles up a river and

then return the same distance to their starting point. What is the rate of the current?
Mathematics
1 answer:
denpristay [2]3 years ago
4 0
Let c represent the speed of the current.

time = distance/speed

Upriver, the current is subtracted from the canoe speed; downriver, it adds.
  6 = 32/(12 -c) +32/(12 +c)
  6(12² -c²) = 32(12 +c) +32(12 -c) . . . . . multiply by (12 +c)(12 -c)
  0 = 6c² -96 . . . . . . . . . . . . . . . . . . . . . . subtract the left side
  96/6 = c² . . . . . . . . . . . . . . . . . . . . . . . . add 96, divide by 6
  4 = c . . . . . . . . . . . . . . . . . . . . . . . . . . . . take the square root

The rate of the current is 4 mph.
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6 0
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Bernard designs motorized bicycles at Smart Gear Technologies. His total earnings are
olganol [36]

Answer: $43146

Step-by-step explanation:

So his total earning is $54,000. He has to pay $201 for every $1,000 he earns. So 54,000/1,000= 54. So now he has to pay 54*201=10854, 54000-10854=43146. His net income for this year is $43146.

8 0
3 years ago
All the answers please on paper and work
REY [17]
1)
8² + 15² = 17²
64 + 225 = 289
This is true, so the triangle is a right triangle.

2)
4² + 12² = 13²
16 + 144 = 169
This is false, so the triangle is not a right triangle.

3)
20² + 21² = 27²
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4)
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7 0
3 years ago
What is 15 multiplied by t as a numerical or algebraic expression?
Makovka662 [10]

Numerical ==> 15 x t

Algebraic ==> 15t

4 0
3 years ago
Y = – 3
KonstantinChe [14]

The  best approximation for the solution to this system of equations is (-2.2,-3)

Option C is correct.

Step-by-step explanation:

Solving the system of equations to get the exact value of x:

y = -3\\y = x-0.8

Let

y = -3\,\,eq(1)\\y = x-0.8\,\,eq(2)

Putting value of y from eq(1) into eq(2)

-3=x-0.8

x=-3+0.8

x=-2.2

So, Value of x is -2.2

The  best approximation for the solution to this system of equations is:

x=-2.2 and y = -3

(-2.2,-3)

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
Read 2 more answers
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