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sweet-ann [11.9K]
3 years ago
10

Solve the following system of equations for x and y.

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0
<h2>Answer:</h2>

We can solve this system by elimination to solve for y by multiplying the top equation by 4 and the bottom one by -5.

4(5x + y = 2)\\-5(4x - 2y = 10)\\\\20x + 4y = 8\\-20x + 10y = -50\\\\14y = -42\\\\y = -3

Now, with what we got for y, we plug it back into one of the original equations. I chose the top one.

5x + 7 = 2\\\\5x = -5\\\\x = -1

Now we have the solution of this system

The solution is <em>A. (-1, -3)</em>.

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Greg is volunteering at a track meet. He is in charge of providing the bottled water. Greg knows these facts:
GuDViN [60]

Answer: There are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.

Step-by-step explanation:

Since we have given that

Number of days the meeting is going on = 3 days

Number of athletes = 117

Number of coaches = 7

Number of judges = 4

Number of bottles given to each athlete each day = 4

Total number of bottles total athlete for 3 days will get is given by

117\times 4\times 3\\\\=1404

Number of bottles given to each coach each day = 3

Total number of bottles total coach for 3 days will get is given by

7\times 3\times 3\\\\=63

Number of bottles given to each judge each day = 2

Total number of bottles total judge for 3 days will get is given by

4\times 3\times 2\\\\=24

Number of cases of water bottle is given to athletes is given by

\frac{1404}{24}

Number of cases of water bottle is given to coaches is given by

\frac{63}{24}

Number of cases of water bottle is given to judges is given by

\frac{24}{24}

We need to find the fewer number of cases that all athlete , all coaches and all judges will get

\text{L.C.M. of }\frac{1404}{24},\frac{63}{24},\frac{24}{24}\\\\=\frac{L.C.M.\ of\ 1404,63,24}{H.C.F.\ of\ 24,24,24}\\\\=\frac{19656}{24}\\\\=819

Hence, there are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.

5 0
3 years ago
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¿Cuál es el resultado cuando el número 36 se incrementa en un 25%?​
horsena [70]

Answer:

45

Step-by-step explanation:

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Find the slope of (17, 11)(5,0)
Genrish500 [490]

Answer:slope= 0.9 approximately



Step-by-step explanation:

Slope=y-y/x-x

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=0.9 approximately to nearest one decimal

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3 years ago
The freshman class at West High is planning an adventure park event. The park charges $300 for a group day pass with an addition
Elanso [62]

Answer:

C

Step-by-step explanation:

Key in the expression is "s" that represents students going to the trip

The first part shows what the adventure park is going to charge, a group day charge of $300 and $30 more for the students taking the ropes course

300+30*s

The second being the amount the class can get, $500 the have in the account and $25 per student in tickets they have to sell

500+25s

The result of this subtraction is the money they need to raise to complete

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7 0
3 years ago
it's sixth grade math I'm sorry for the words that are cut off you'll be able to figure out what they are i dont have a better p
alekssr [168]

8x6=48 min

Hope I helped!

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