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Orlov [11]
3 years ago
12

a boat leaves new orleans and travels upstream on the mississippi river for 4 hours the return trip takes only 2.8 hours becaus

e the boat travels 3 miles per hour faster downstream due to the current how far does the boat travel upstream ??
Mathematics
1 answer:
Igoryamba3 years ago
7 0

x = 7 miles upstream  


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timurjin [86]

Answer:

7

Step-by-step explanation:

a right angle is 90 degrees so

90=76+2x        subtract 76 from both sides

-76 -76

________

14=2x                divide 2 from both sides

_   ___

2     2

7=x

Check:

76+(2*7)=90 correct

                                               

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Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

x+y=79 and 1.65x+1.36y=118.17

Part c) x=37,y=42

Part d) The value of y represent the number of boxes of juice that were sold y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold x=37\ packages\ of\ Twinkies

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

x+y=79 ------> equation A  

1.65x+1.36y=118.17 ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

-1.65(x+y)=-1.65*79  

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Adds equation C and equation B

-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42

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x+y=79

x+42=79

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Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

so

y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold

so

x=37\ packages\ of\ Twinkies

7 0
4 years ago
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sp2606 [1]

Answer:

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Step-by-step explanation:

f(x) = 4x - 7

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Step-by-step explanation:

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