Each strip is 29 cm
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Change the m to cm
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6 m = 600 cm
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Find the number of strips for 1 6m-board
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Find the number of strips that can be cut from the 6m board.
600 ÷ 29 = 20 pieces remainder 20cm
So we can only cut 20 pieces of 29 strips from one 6m board.
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Find number of boards needed
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70 ÷ 20 = 3.5
We need 3.5 of the 6m boards.
Since she can't have half a board, she has to buy 4 pieces of the board.
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Answer: 4 pieces of the 6m board.
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6 in the hundreds place = 600
6 in the tens place =60
If you would like to solve 1/3 / 6, you can do this using the following steps:
1/3 / 6 = 1/3 / 6/1 = 1/3 * 1/6 = 1/18
The correct result would be 1/18.
Answer:
f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distributive Property
- Expand by FOIL (First Outside Inside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = x² + 3x³
f(x + h) is x = x + h
<u>Step 2: Simplify</u>
- Substitute: f(x + h) = (x + h)² + 3(x + h)³
- Expand by FOILing: f(x + h) = (x² + 2hx + h²) + 3(x + h)³
- Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
- Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
- Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
- Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
- Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
