Answer:
Part a - 25 pieces
Part b - 4 sheets
Step-by-step explanation:
<u>Part a</u>
Think of this in terms of how many "units" can the total paper be cut into. Easiest way to keep track of units is by their area. In other words, take the total area and see how many unit areas fit into it:
Number of units = total area / unit area
N = (85 x 60) / (20 x 10)
N = 5100 / 200
N = 25.5
Therefore the greatest number of pieces the paper can be cut into is 25 units (the 0.5 doesn't count since it's not a full pieces).
<u>Part b</u>
Again, back to units. This time the "total" is 100, and our unit size is 25.5. So:
Number of units = total gifts / gifts per unit
N = 100 / 25.5
N = 3.9
Therefore 4 sheets of wrapping paper will be needed (you need to round the 3.9 up because wrapping paper sheets only come in whole numbers for the purposes of this question).
Answer:
See attached image
Step-by-step explanation:
If you have two marbles in a bag and you are choosing the marbles randomly twice, then we can look at fractions.
Each time, you have a 0.5 chance of picking the silver marble. After you pick that, you have another 0.5 chance of picking the silver marble again.
This applies with any combination.
This means that the probability of you getting two silvers in a row is 0.25.
Since the marbles are the same size and nothing is stopping you from choosing one, this probability applies to all combinations possible.
Hope this helped!
Answer:
Step-by-step explanation:
To find the inverse, switch x and y, then solve for y
y=2^3-5x
x=2^3-5y
x-2^3=-5y
-(x/5)+((2/3)/5)=y
Answer:
x < -4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define inequality</u>
-16x - 10 > 14 - 10x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 16x to both sides: -10 > 14 + 6x
- Subtract 14 on both sides: -24 > 6x
- Divide 6 on both sides: -4 > x
- Rewrite: x < -4
Here we see that any value <em>x</em> that is less than -4 would work as a solution.