Answer:
x= 127/8
Step-by-step explanation:
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:
x = 1/3
Step-by-step explanation:
8x –3(5x–2)=7–10x
Distribute
8x - 15x +6 = 7-10x
Combine like terms
-7x + 6 = 7- 10x
Add 10x to each side
-7x +10x+ 6 = 7- 10x+10x
3x+6 = 7
Subtract 6 from each side
3x+6-6 =7-6
3x = 1
Divide each side by 3
3x/3 = 1/3
x = 1/3
Answer:

Step-by-step explanation:
The wording, "the quotient of a number and 4," can be displayed as c/4. C would be our variable for the number because the question asks specifically for it. 5 more would demonstrate that we're adding 5 more to our equation. Which would result in c/4 + 5. However, since it equals 7, just add that portion to create the following equation:

Multiplication and distributive property are your friends for this problen