Answer:
x = 4
Step-by-step explanation:
8/72 = x/36
crossmultiply
8 x 36 = X x 72
288 = 72x
divide both sides by 72
288/72 = x
therefore , x = 4
Your answer is D. You just take the feet in a mile (5,280) and divide it by his pace (2.75) feet. You get 1920, which is your answer.
6 years
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:
Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8
Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:
To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x
x = 6 years to the nearest year
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Answer:
V = 125.6 in³
Step-by-step explanation:
let V be volume, h the height and r the radius, then the equation relating the quantities is
V = khr² ← k is the constant of variation
To find k use the condition V = 402.12, h = 8, r = 4
402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )
3.14 = k [ note 3.14 is π )
V = 3.14hr² ← equation of variation [ V = πr²h ]
Given r = 2 and h = 10, then
V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6
