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maxonik [38]
3 years ago
12

Manuel and Sonja are shopping for school supplies. Manuel is buying 5 notebooks and 3 pens at a cost of $21. Sonja is buying 6 n

otebooks and 5 pens at a cost of $28. The first equation, representing Manuel’s purchase, is 5 x + 3 y = 21. What is the second equation needed to solve the system? 5 x minus 6 y = 28 6 x minus 5 y = 28 5 x + 6 y = 28 6 x + 5 y = 28
Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Answer: 6x+5y=28

Step-by-step explanation:

Looking at the first equation, we can tell that x stands for notebooks and y stand for pens. Since this talks about the total cost with the amount of products they bought, we can automatically eliminate the subtracting answer choices.

Now, we know that 6x+57=28 is the correct answer because Sonja bought 6 notebooks and 5 pens. This becomes 6x+5y.

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The rate of the kayak in still water is 3.5 mph

<h3><u>Solution:</u></h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

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Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that speed = \frac{distance}{time}

\frac{distance}{time} = x + y

x + y = \frac{12}{3}

x + y = 4  ------ eqn 1

<em><u>For upstream:</u></em>

Speed upstream = x - y

\frac{12}{4} = x - y

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Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

x + y + x - y = 4 + 3

2x = 7

x = 3.5

speed of Kayak in still water = x mph  = 3.5 mph

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How would I solve these equations?
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Answer:

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Step-by-step explanation:

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