3m+21=6m
=>21=6m-3m
=>21=3m
=>7=m
Therefore option A is the answer
The money would be multiplied by a factor of 16 after 28 years
<h3>How to determine the factor?</h3>
The rate is given as:
Rate = Double every 7 years
There are 4 7 years in 28 years.
So, the factor would be:
Factor = Rate^4
This gives
Factor = 2^4
Evaluate
Factor = 16
Hence, the money would be multiplied by a factor of 16 after 28 years
Read more about exponential factors at
brainly.com/question/11464095
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Answer:
The jeweler made 9 necklaces.
The jeweler made 8 bracelets.
Step-by-step explanation:
x = number of bracelets
y = number of necklaces
17 = x + y
238 = 5x + 22y
Make one of the coefficients, x, the same.
17 = x + y
Multiply this equation by 5.
85 = 5x + 5y
Subtract the equations to get rid of x.
(238 = 5x + 22y) - (85 = 5x + 5y)
(5x - 5x) + (22y - 5y) = 238 - 85
22y - 5y = 238 - 85
17y = 153
y = 153/17 = 9
The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.
17 = x + y
17 = x + 9
17 - 9 = x
x = 8
238 = 5x + 22y
238 = 5x + 22(9)
238 = 5x + 198
238 - 198 = 5x
40 = 5x
x = 40/5
x = 8
The jeweler made 8 bracelets.
V = l * w * h
470.40 = 6.4 * 9.8 * h
Multiply the length and width on the right side of the equation.
470.40 = 62.72 * h
Divide both sides by 62.72
7.5 cm = h
CHECK
V = l * w * h
V = 6.4 * 9.8 * 7.5
V = 470.4 cm^3
Calculate the z-score for the given data points in the item using the equation,
z-score = (x - μ) / σ
where x is the data point, μ is the mean, and σ is the standard deviation.
Substituting,
(47.7) z-score = (47.7 - 52.5)/2.4 = -2
This translates to a percentile of 2.28%.
(54.9) z-score = (54.9 - 52.5)/2.4 = 1
This translates to a percentile of 84.13%.
Then, subtract the calculate percentiles to give us the final answer of <em>81.85%.</em>
Thus, 81.85% of the Siberian Husky sled dogs are expected to weigh between 47.7 and 54.9 lbs.
