The value placed in the box that makes the system of equation with infinitely many solution is 12.
<h3>How to solve an infinitely many solution equation?</h3>
An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If we simplify the equation we will notice both sides are equal. This means the equation has an infinitely many solution.
Hence,
y = -2x + 4
Therefore,
6x + 3y = 12
divide the equation(ii) by 3
2x + y = 4
y = -2x + 4
Therefore, both equation are equal if the the box is filled with 12. This means for the value placed in the box that makes the system of equation with infinitely many solution is 12.
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Answer:
44.120 > 44.102 > 44.012
6.002 < 6.020 < 6.200
Step-by-step explanation:
Greatest to Least
Answer:
It increases the mean value of the prizes
Step-by-step explanation:
If you order the numbers from the lowest to the highest, the median is the number placed in the middle of the ordered list. In this case, there are values repeated many times (there are 100 values, $1 is repeated 44 times and $5 is repeated 25 times, so $5 is the mean), then the presence of a high value with only one presence doesn't modify this median.
On the other hand, the mean is always affected but all data set, given that $100 is the highest value, the mean will increase.
Answer: 28
Step-by-step explanation:
Hello! A triangle has angles that sum up to 180°. So first off, let's solve for the angle of the other triangle. 83 + 31 gives us 114. 180 - 114 is 66. So the angle for the first triangle is 66°. The opposite angle would be the same. Finding the measurement of the other triangle gives us the measurement of x, because the angles are the same. So x = 66°.