Answer:
reflect over y translate 6 down
Step-by-step explanation:
when we reflect over y it puts the figure right above the other one so we need to translate down
Answer:
70 cabinets in method 1 and 24 cabinets in method 2.
Step-by-step explanation:
Let in method 1 they refinish x cabinets and in method 2 they refinish y cabinets.
Now, given that method 1 and method 2 takes 1 hour and 1.5 hours respectively and the material costs for method 1 and method 2 are $6 and $4 respectively.
If they plan to spend 106 hours in labour and $516 in material for refinishing cabinets, then
x + 1.5y = 106 ...... (1) and
6x + 4y = 516 ....... (2)
Now, solving equations (1) and (2), we get
6 (106 - 1.5y) + 4y = 516
⇒ 5y = 636 - 516
⇒ y = 24 cabinets
From equation (1) x = 106 - 1.5y = 106 - 36 = 70 cabinets. (Answer)
the step by step instructions r in the pics
Answer: 1/3
Step-by-step explanation:
6 + 16 + 14 - 27 = 1/3
Answer:
48 cubes are needed to fill the prism
Step-by-step explanation:
To solve this problem we first have to calculate the volume of the cube
1/2 units= 0.5 units
To calculate the volume of a cube we have to use the following formula:
v = volume
s = side = 0.5 u
v = s * s * s
we replace the values that we know
v = 0.5 u * 0.5 u * 0.5 u
v = 0.125 u³
The volume of the cube prism is 0.125 u³
Now we have to divide the volume of the prism by the volume of the cubes
6 u³ / 0.125 u³ = 48
48 cubes are needed to fill the prism
