What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?
Answer:
Part A. 37.4p ≥ 170
Part B. p ≥ 5 (rounding to the next whole)
Renna needs to remove at least 5 packages from the elevator to meet the mass requirement.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Mass limit for the elevator = 450 kg
Renna and her load of packages mass = 620 kg
Each package mass = 37.4 kg
2. Write an inequality to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.
Number of packages * Each package mass ≥ Renna and her load of packages mass - Mass limit for the elevator
Replacing with the values and variables we know:
p * 37.4 ≥ 620 - 450
37.4p ≥ 170
3. What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?
Solving for p in the equation above, we have:
37.4p ≥ 170
p ≥ 170/37.4
p ≥ 4.55
p ≥ 5 (rounding to the next whole)
B. {(1, −1), (−1, 0), (1, 1), (3, 2)}
C. {(5, −1), (3, −1), (4, 1), (5, 2)}
D. {(−4, 2), (1, −2), (0, 0), (1, 1)}
Answer:
The answer you would be looking for is A
Step-by-step explanation:
Math item stem image
CLEAR CHECK
grams
The recommended daily amount of fiber is 30 grams.
Step-by-step explanation:
Quantity of fiber in one cup = 12 grams
It is 40% of our daily recommended amount.
Let,
x be the quantity of fiber recommended daily.
40% of x = 12
Dividing both sides by 0.4
The recommended daily amount of fiber is 30 grams.
Keywords: percentage, division
Learn more about percentages at:
#LearnwithBrainly
In summary, a line is perpendicular to x + 3y = -3 if its slope is 3.
The subject requested is about finding the slope of a line that is perpendicular to the line specified by the equation x + 3y = -3. To find the slope, we'll first have to rewrite the given equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Rewriting x + 3y = -3, we get y = -x/3 - 1. So the slope of the given line is -1/3. Now, two lines are perpendicular if and only if the product of their slopes is -1. Therefore, the slope of the line perpendicular to the given line will be -1 / original slope = -1 / (-1/3) = 3.
Thus, the slope of a line perpendicular to the line x + 3y = -3 is 3.
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