If the rectangle is scaled by a factor of 2, it means that all of the sides are multiplied by 2. This means the length is changed from 6 to 12, and the width is changed from 2 to 4. The area however, is not 24, but 48, because BOTH the sides doubled.
One <u>possible inequality</u> is:
299m+261j ≥ 1000.
Explanation:
m is the number of cups of milk and j is the number of cups of juice.
Each cup of milk contains 299 mg of calcium. This gives us 299m mg of calcium for m cups of milk drank.
Each cup of juice contains 261 mg of calcium. This gives us 261j mg of calcium for j cups of juice drank.
Together, this would be a total of 299m+261j mg of calcium.
We want to meet or exceed 1000 mg of calcium. This means we could have more than 1000 or equal to 1000; this gives us the inequality symbol "greater than or equal to":
299m+261j ≥ 1000
Volume of a cylinder = π r² h
Given:
radius = (x+8)
height (2x + 3)
Volume of a cylinder = π * (x+8)² * (2x + 3)
V = π * (x+8)(x+8) * (2x+3)
V = π * (x² + 8x + 8x + 64) * (2x + 3)
V = π * (x² + 16x + 64) * (2x + 3)
V = π * (2x³ + 32x² + 128x + 3x² + 48x + 192)
V = π * (2x³ + 32x² + 3x² + 128x + 48x + 192)
V = π * (2x³ + 35x² + 176x + 192)
Johnny borrows a lemonade stand from Tom for M days at the price of $3 a day. How much would he make in total, if he made $75 a day?