The value of x for the given equation (x + 50)/2 = 13x is 2.
According to the given question.
We have an equation (x + 50)/2 = 13x, which represents when two tutoring services with different rate plans charge the same fees for a session of x hours.
So, we have to solve the given equation (x + 50)/2 = 13x for x.
Therefore,
x + 50 = 2(13x)
⇒ x + 50 = 26x
⇒ 26x - x = 50
⇒ 25x = 50
⇒ x = 50/25
⇒ x = 2
Hence, the value of x for the given equation (x + 50)/2 = 13x is 2.
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Value of a is 4 and value of line YZ is 20 units
Given:
Y is between point X and Z
Value of line XY = 7a
Value of line YZ = 5a
Value of line XZ = 6a + 24
Value of "a" and line YZ
We know that
XY + YZ = XZ
So,
7a + 5a = 6a + 24
12a = 6a + 24
6a = 24
a = 4
Value of a = 4
So,
Value of line YZ = 5a
By putting value of a
Value of line YZ = 5(4)
Value of line YZ = 20 units
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42 cards is after his dog ate half, so before that would be 42 * 2 = 84.
Even before that, he bought 5 new baseball cards, so add that to the 84 cards and you have 84 + 5 = 89.
Fred started out with 89 baseball cards.
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