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nordsb [41]
3 years ago
5

A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. Trip back took 14 hours. What is the speed of t

he boat in still water?
Mathematics
1 answer:
nexus9112 [7]3 years ago
6 0
Speed of the boat = u
speed of the current = v

In downstream,
u - v = 280/7
u - v = 40

In upstream,
u + v = 280/14
u + v = 20

Add both equations
2u = 60
u = 30

v = -10

Speed of the boat = 30 km/h

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Y = -3x - 2 and 5x + 2y = 15
denis-greek [22]

Answer:

(-19, 55)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -3x - 2

5x + 2y = 15

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                     5x + 2(-3x - 2) = 15
  2. Distribute 2:                          5x - 6x - 4 = 15
  3. Combine like terms:            -x - 4 = 15
  4. Isolate <em>x</em> term:                      -x = 19
  5. Isolate <em>x</em>:                               x = -19

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = -3x - 2
  2. Substitute in <em>x</em>:                                     y = -3(-19) - 2
  3. Multiply:                                                y = 57 - 2
  4. Subtract:                                               y = 55
8 0
3 years ago
Need help i have been stuck on this problem
liberstina [14]
The second one is correct
4 0
4 years ago
(5x10)+(4x1)+(6x1/10)+(2x1/1000
Furkat [3]
This is the answer ,you should first do the multiplication then the sum.

5 0
3 years ago
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Lesechka [4]

Answer:

  y = 10 -2x; 10 is the length of the trail

Step-by-step explanation:

Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:

  y = -2x +10

The y-intercept is the length of the trail.

7 0
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Which polynomial is equivalent to (-2n+5)^2​
Naddika [18.5K]

Answer:

4n^2-20n+25

Step-by-step explanation:

(-2n+5)^2

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