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Dennis_Churaev [7]
3 years ago
14

Solve by using substitution or elimination by addition

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Answer: A. The unique solution to the system is (1,-5)

Step-by-step explanation:

 You can follow these steps to solve the system of equations by the Elimination Method:

- Multiply the first equation by -3 and the second equation by 2.

- Add both equations and solve for "y".

Then:

\left \{ {{-3(2x - 5y) = -3(27)} \atop {2(3x + 2y)= 2(-7)}} \right.\\\\\left \{ {{-6x +15y = -81} \atop {6x + 4y= -14}} \right.\\..............................\\19y=-95\\y=-5

- Substitute the value of "y" into any original equation to find the value of "x". Then:

2x - 5(-5) = 27\\\\2x=27-25\\\\2x=2\\\\x=1

Therefore, the unique solution to the system is (1,-5)

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Theoretically, if a month is chosen 300 times,
horsena [70]

Answer:

75 times.

Step-by-step explanation:

Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because \frac{3}{12}=\frac{1}{4}, which is 25%. 25% of 300 (or \frac{300}{4}, for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.

Hope this helps!

<em>P.S: </em><u><em>Please mark me as brainliest!</em></u>

6 0
3 years ago
A box contains eight cards labeled P, Q, R, S, T, U, V, and W. One card will be randomly chosen.
Varvara68 [4.7K]

Answer:

7/8

Step-by-step explanation:

Probability= (Cards having letter Q to W)/(All cards) = 7/8

6 0
3 years ago
There are two less nickels than dimes, and as many quarters, as nickels and dimes together. The total amount of money is $5.25.
katen-ka-za [31]
N=d-2
q=n+d =>q=(d-2)=q=2d-2
25q+5n+10d=525
replace q and n with d
25(2d-2) +5(d-2)+10d=525
50d-50+5d-10+10d=525
65d=585
d=9
n=7
q=16

3 0
3 years ago
I’ll give points + brainalist for answer / explanation
Fynjy0 [20]

Answer:

C. the circumference of a circle

Step-by-step explanation:

The perimeter of a square is the length of the outside, which is found by adding all the side lengths. The circumference of a circle is similar because it is also the length of the outside of the shape.

3 0
3 years ago
Fifteen times the square of a non-zero number is equal to 12 times the number. whats the number?
Fofino [41]
15x^2 = 12x
divide each side by x
15x = 12
now divide each side by 15
x = 12/15 or 4/5 which is also 0.8
4 0
3 years ago
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