Answer:
third number = 4,
equation of y, y = 5x - 11
equation of n, n = 4x
equation of x, n + x + y =19
Step-by-step explanation:
so lets write evertything as a n equation. n + x + y =19. N is the first number, x is the second number, and y is the third number. We will write the equation for y as follows 5x - 11. N will be four times the second number, so 4x. If substitute the values for out equation for x we will find what x equals to. So (4x) + x + (5x - 11) = 19
10x = 30
x = 3.
Then you substiute the answer for x in the equation for y. This will get you 5(3) - 11
15 - 11
4 = third number
Answer:
14 points
Step-by-step explanation:
The second test Lee did was 13 points fewer than the first test, which was 91 points, so the second test's score is 91 - 13 = 78 points.
The third test had the score of 92, so this is the highest score, and the lowest score is the second one: 78 points.
The difference between Lee's highest and lowest scores is:
92 - 78 = 14 points
Answer:
The perimeter is 37 inches (3 ft. 1 in.)
Step-by-step explanation:
24 + 13 = 37
12 x 2 = 24
6.5 x 2 = 13
Those lengths will NOT form a triangle.
According to the triangle inequality theorem, the longest side has to be LESS than the sum of the other 2 sides.
2x + 3 ≥ 7
2x ≥ 7 - 3
2x ≥ 4
x ≥ 4 / 2
x ≥ 2
2x + 9 > 11
2x > 11 - 9
2x > 2
x > 1
Those are your two inequalities, now we must find one that satisfies both. Combine them together you get:
1 < 2 ≤ x
That last inequality becomes your answer.
x ≥ 2 makes both statements true.