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vfiekz [6]
3 years ago
13

Use the elimination method to solve the system of equations. Choose the

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0

Answer:

(2, 7) is the correct ordered pair.

Step-by-step explanation:

5x + 3y = 31

2x + 3y = 25   Subtract to eliminate the y variable:

3x = 6

x = 6/3

x = 2.

Substitute x = 2 in the first equation:

5*2 + 3y = 31

3y = 31-10 = 21

y = 21/3

y = 7.

Check the result by substituting for x and y in the second equation:

2(2) + 3(7) = 25

4 + 21 = 25

25 = 25.

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3 years ago
State whether the following is reasonable or not. Explain your answer. Josefina gave away 130% of her stamp collection.
Nastasia [14]

Answer:

The statement is not reasonable.

Step-by-step explanation:

Josefina gave away 130% of her stamp collection.

We cannot give more than what we have.

lets understand it mathematically.

suppose i have x stamp.

according to question, i have to give 130% of my stamp collection

130% of x = 130/100 x = 1.3x

so, i have to given 1.3x stamp while i do have only x stamp which does not make any sense.

maximum i can give is x stamp.

x stamp in percentage of my total stamp collection which is also x will be

= x/x*100 = 100%

Thus, maximum one can give is 100% of what he has.

Thus, we can say that Josefina gave away 130% of her stamp collection is not reasonable.

4 0
3 years ago
Monica sells lemonade over the summer and uses conical paper cups to serve
Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

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3 years ago
Help me out!!
vekshin1

Answer:

~Exponential decay because the base is less than 1~

Step-by-step explanation:

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