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Lady bird [3.3K]
3 years ago
10

A ship traveled for 4 hours heading east and for 3 hours heading north. If the total distance traveled was 149 miles, and the sh

ip traveled 3 miles per hour faster heading north, at what speed was the ship traveling east?
Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0
Just like the previous one

if the ship travelled a total of 149 miles, then let's say it travelled East "d" miles and thus it travelled North the slack of 149 and "d", thus " 149 - d".

now, if the rate travelling East is say "r", then the faster rate going North is " r + 3".

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
East&d&r&4\\
North&149-d&r+3&3
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=4r\\
149-d=(r+3)3\\
----------\\
149-\boxed{4r}=3(r+3)
\end{cases}

solve for "r".
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pochemuha

Answer:

3

Step-by-step explanation:

I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.

In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.

Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.

Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.

That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.

Hope this helps :)

6 0
2 years ago
PLEASE HELP Which line has an x-intercept of -5 and a y-intercept of 3?
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Answer:

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Step-by-step explanation:

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5 0
2 years ago
Can someone see if these are right?
qwelly [4]
I didn't get the same answers.

In this problem, 25 is your constant (the number of baby hats you already started out with).
26 will be affected by your variable, d, the number of days. With each day that passes, 26 more hats will be knit, so the expression 26d can be used. 

Set h equal to the constant + hats made per day to create an expression that you can use to solve for h:
h = 26d + 25

Now, just plug the numbers in for d to get h:
When d = 2, h = 26d + 25 = 26(2) + 25 = 77
When d = 4, h = 26d + 25 = 26(4) + 25 = 129
When d = 7, h = 26d + 25 = 26(7) + 25 = 207
When d = 9, h = 26d + 25 = 26(9) + 25 = 259

Your answers should be:
77
129
207
259
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3 years ago
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Answer:

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Step-by-step explanation:

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