Answer:
The quantitative variables in this case are:
A. Speed
D. GForce
E. Height
G. Duration
H. Numinversions
J. Length
Step-by-step explanation:
One criteria to differentiate qualitative variables from quantitative variables is to determine if mathematical calculations over these variables makes sense.
If it makes sense, it is a quantitative variable.
For example, binary variables, although they can be represented by 0 and 1, would be a qualitative variable.
The quantitative variables in this case are:
A. Speed
D. GForce
E. Height
G. Duration
H. Numinversions
J. Length
They all will be represented by numbers for which mathematical operations make sense.
Answer:
∡A = 48°
∡B = 58°
∡BCA = 74°
Step-by-step explanation:
start by finding m∡BCA; this angle is supplementary with ∡BCD and the pair must add up to 180. therefore, m∡BCA = 74°
all three interior angles of a triangle must add up to 180:
74 + 4y + 3y + 22 = 180
96 + 7y = 180
7y = 84
y = 12
substitute '12' for 'y' in 3y + 22 to get 58
substitute '12' for '4y' to get 48
I think it should be something like this
Answer:
an even number
Step-by-step explanation:
an even number is produced with the sum of two even or two odd numbers, you will only et an odd number if add an even and an odd.
34. x - 3 = 8x + 4
-3 - 4 = 8x - x
-7 = 7x
-7/7 = x
-1 = x
y = x - 3
y = -1 - 3
y = -4
solution is (-1,-4)
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35. -6 = -x - 2y
x = -2y + 6
2 + 5x = -2y
2 + 5(-2y + 6) = -2y
2 - 10y + 30 = -2y
32 = -2y + 10y
32 = 8y
32/8 = y
4 = y
2 + 5x = -2y
2 + 5x = -2(4)
2 + 5x = -8
5x = -8 - 2
5x = -10
x = -10/5
x = -2
solution is (-2,4)
==================
36. 4x + 6y = 2000
x + y = 410
==================
37. 4x + 6y = 2000
x + y = 410......multiply by -6
----------------------
4x + 6y = 2000
-6x - 6y = - 2460 (result of multiplying by -6)
--------------------add
-2x = - 460
x = -460/-2
x = 230 <=== tickets in advance
