First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
<h3>Y
ou have the correct answer</h3><h3>Interest rate = 21.5%</h3>
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Work Shown:
i = P*r*t .... simple interest formula
i = simple interest
i = 2075-1000 = 1075
P = 1000 = amount borrowed (principal)
r = unknown interest rate
t = 5 = time in years
So,
i = P*r*t
1075 = 1000*r*5
1075 = 5000r
5000r = 1075
r = 1075/5000
r = 0.215
r = 21.5%
Answer:
160
Step-by-step explanation:
In math, the word of means multiply. :)
3/8 * 640 = 240, so there are 240 1p coins.
there are the same number of 5P coins, so there are 240 5p.
640 - 1p - 5p = 2p
640-240-240 = 160, so there are 160 2p coins.
Answer:
27.9
Step-by-step explanation:
i googled it for you
Step-by-step explanation:
To divide fractions, we have to focus on 4 steps, which are:
1: Change to improper fractions
2: Keep the same
3: Change the sign to multiplication
4: Flip the 2nd fraction in the equation
So, step one:
1/3 / 4/5
Step two:
1/3 / 4/5
Step three:
1/3 x 4/5
Step four:
1/3 x 4/5 = (4 / 15)
4/15 is in simplist for.
Therefore, your answer is 4/15.
Best of Luck to you!!