Answer:
x > 3
interval notation: (3, ∞)
Step-by-step explanation:
Given the inequality statement: 4x - 5 > 7,
The goal is to isolate x and find its solution.
Start by adding 5 to both sides:
4x - 5 + 5 > 7 + 5
4x > 12
Divide both sides by 4:
4x/4 > 12/4
x > 3
The solution can also be expressed in the following interval notation:
(3, ∞).
In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.
25.65 ÷ 15 = 1.71
So, the answer to this problem is 1.17
Answer:
33 1/3%
Step-by-step explanation:
When you buy 20 ads, the per-ad rate is
$1200/20 = $60 . . . per ad
When you buy 80 ads, the per-ad rate is
$3200/80 = $40 . . . per ad
The percentage change to the $60 price is ...
((new price) - (original price))/(original price) × 100%
= ($40 -$60)/$60 × 100% = -20/60 × 100%
= -1/3 × 100% = -33 1/3%
The higher volume purchase comes with a 33 1/3% discount.
Answer: 7.2%
Step-by-step explanation:
First find the difference between the amounts.
7,400, 000 - 6, 900,000 = 500, 000
Now divide the obtain number by the original number which is 6,900,000
500, 000/ 6,900,000 = 0.07246
Multiply 0.07246 by 100 to convert it to a percent.
0.07246 = 7.2463..%
Round it to the nearest tenth of a percent.
7.2463.. rounded to the nearest tenth is 7.2%
Answer:
Step-by-step explanation:
Let the number of visits to a pool = n
Charges of n visits = Number of visits × Charges per visit
= n × $4
= 4n
Let the membership amount of the pool = $m
So the inequality showing that a membership is less expensive than paying each visit to the pool will be
4n > m
Now we divide the inequality by 4
n > 
Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership.
