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jek_recluse [69]
3 years ago
14

you start driving east with 14 miles turn left and Drive North for another 10 miles at the end of driving what is your straight

line distance from your starting point​
Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

17.205 miles

Step-by-step explanation:

Since these directions form a 90-degree angle, we can use the Pythagorean Theorem.

14^2 + 10^2 = c^2

196 + 100 = c^2

296 = c^2

It doesn't have a perfect square root, you can either say that it is \sqrt{296} or approximately 17.205 miles.

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1. Solve the following equation.(MAFS.8.EE.3.7)<br><br> 5(3x + 7) + 2x = 7x – 5(–2x + 9)
Ksivusya [100]

Answer:

there is no solution

Step-by-step explanation:

Expand.

15x+35+2x=7x+10x-4515x+35+2x=7x+10x−45

2 Simplify  15x+35+2x15x+35+2x  to  17x+3517x+35.

17x+35=7x+10x-4517x+35=7x+10x−45

3 Simplify  7x+10x-457x+10x−45  to  17x-4517x−45.

17x+35=17x-4517x+35=17x−45

4 Cancel 17x17x on both sides.

35=-4535=−45

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No Solution

4 0
3 years ago
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4 years ago
Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.
nika2105 [10]

Answer:

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Step-by-step explanation:

So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).

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We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.

The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).

x=5y      Now, since we have one variable by itself, we can plug it in for x in the first equation.

20(5y)+30y=650    Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.

100y+30y=650    Next add the like terms together (100y+30y).

Now all we have to do to find y is divide by 130 on both sides to get y alone.

130y=650  

________

130     130

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x=5(5)

x=25      

3 0
3 years ago
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