Usually, you create the inequality by casting the problem statement into mathematical terms. Then, solving the inequality can answer the question posed by the problem statement.
Example:
I want to carpet my 1600 ft² house, but I can only afford to spend $3000. Tax and installation costs are expected to add 20% to the total cost of the carpet. What price range of carpet should I be looking at in term of dollars per square yard?
Solution:
Let p represent the price per square yard of carpet. The problem statement tells me
(1600 ft²)×((1 yd)/(3 ft))²×p×(1 + 0.20) ≤ $3000 . . . . . created inequality
p×((1600×1.20)/9 yd²) ≤ $3000 . . . . . . . . . . . . . . . . . simplify left side
p ≤ $14.06/yd²
I can afford carpet that costs less than $14.06 per square yard.
The events are independant (i.e. what she rolls on the cube has no impact on how the spinner works). The probability of two independant events is given by:
For the cube, 1/2 the numbers meet our requitment of being even, so:
For the spinner, there are 3 odds out of 5 (1, 3 & 5) so:
and then:
Answer:
2890 sq. meters
Step-by-step explanation:
The area of the whole garden is 85 x 50 = 4250 sq. meters. Since the flowers take up 32%, that means the grass must take up 100-32, or 68% of the garden. 68% of 4250 is 2890 sq. meters.
Hope this helped! :)
Answer:x=12cm
Step-by-step explanation:
PA ×PB=PT^2
4×(4+x)=(8)^2
16+4x=64
4x=64-16
4x=48
x=12cm
Answer:
"Your grade, g, must be at least 75 to pass this class'' is translated as:
Step-by-step explanation:
Given the grade is denoted by 'g'.
In algebra '≥︎' denotes that something must be 'greater than or equal to'. In other words, it means 'at least'.
As the gade must be at least 75, it means it can be greater than 75, but it can not be less than 75.
Therefore, "Your grade, g, must be at least 75 to pass this class'' is translated as:
