11/3 = 3.67
3.67 divided by 4 = 0.92
So, yes. You can have 4 bags with each one having 0.92 pound of trail mix.
Answer:
a reflection of ΔRST across the line y = –x
Step-by-step explanation:
A reflection across the line y = –x transforms point (x, y) into (-y, -x)
After reflecting ΔRST across the line y = –x we get:
R (-1, 3) -> (-3, 1)
S (3,-2) -> (2, -3)
T (1, -4) -> (4, -1)
where S is at the desired vertex
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:
$11.50
Step-by-step explanation:
I believe that $11.50 is the amount that Luke owes to his parents because their parents let them go beyond their allowances. Right now Luke is at debt for $-11.50 and has to pay their parents $11.50.
Answer: A
Hope this is helpful.
Step-by-step explanation:
Try to solve using simultaneous equations with each answer given.
x + 2y = 5
x = 5 - 2y
Plug this into each equation
A 2(5 - 2y) + 4y = 3
10 - 4y + 4y = 3
10 = 3 in consistent
B 5(5 - 2y) + 2y = 3
25 - 10 y + 2y = 3
25 - 8y = 3
8y = 22
y = 2.75
Using original equation solve for x
5x + 2(2.75) = 3
5x + 5.5 = 3
5x = -2.5
x = -0.5
Using original equation,
(-0.5) + 2 (2.75) = 5
-0.5 + 5.5 = 5 consistent
C 6x + 12y = 30
6(5 - 2y) + 12y = 30
30 - 12y + 12 y = 30 consistent for every value of y
D 3(5 - 2y) + 4y = 8
15 - 6y + 4y = 8
- 2y = -7
y = 3.5
x = 5 - 2y
x = 5 - 7
x = -2
Solving for x
3(-2) + 4(3.5) = -6 + 14 = 8 consistent
So A is the correct answer
