The solution of the given inequality 8(u + 8) ≥ 8u+8 is true for all u.
We have given inequality 8(u + 8) ≥ 8u+8
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
Expand 8(u + 8)
Subtract 64 from both sides
Simplify given term
Subtract 8u from both sides
Simplify it
Therefore the solution is true for all u.
To learn more about the inequality visit:
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)
To find this out, change all of them into decimals. To change a percent into a decimal, divide the percent by 100. To change a fraction into a decimal, divide the numerator by the denominator. 24% as a decimal is 0.24. 1/5 as a decimal is 0.20.
Multiply each of the decimals by the number of students.
So,
0.24*25= 6
0.20*25= 5
0.56*25= 14
6 people voted on section A
5 people voted on section B
14 people voted on section C
Hope it helps :)
In mathematics, the number that goes on top is typically the numerator in a fraction. It represents the number of parts we have or the value we are considering. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.
In mathematics, the number that goes on top is typically the numerator in a fraction. In a fraction, the numerator represents the number of parts we have or the value we are considering. The denominator, which goes on the bottom, represents the total number of equal parts that make up a whole.
For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This means we have 3 out of 4 equal parts.
So, depending on the context, the number that goes on top could be the numerator in a fraction or the value we are considering in a mathematical expression.
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