Answer:
Step-by-step explanation:
10 - m = m - 10 is one solution
7x + 5 = 7(x + 5) is no solution
3(t + 2) = (2 + 3t) + 4 is identity
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Answer:
4 inches
Step-by-step explanation:
Given that :
Amount of Rainfall in October = 14 inches
Amount of Rainfall in October = 3 1/2 times more than Rainfall during September
How much rain fell.during September :
The problem is a division problem ;
Since the amount of Rainfall in October is greater, then obtaining the amount of Rainfall in September requires dividing The amount of Rainfall in October by the number of times it is more than the September rainfall;
If multiplication is applied, then tbe value obtained will be greater than 14 inches. Which makes no sense since, the Rainfall in October is much greater than that in September.
14 inches ÷ 3 1/2
14 ÷ 7/2
14 * 2 / 7
= 28 / 7
= 4 inches
Hence, the amount of Rainfall in September is 4 inches
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ = +
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
First step is to find what should be the required total of sum of Score after fourth test, to identify how much more or less she need to score in his fourth test.
Since Mean = (Sum of Scores)/number of test
using above formula we determine what is the required sum of score.
82 = (Sum of Scores)/4
⇒ 82 × 4 = 328
So in four test she should have score total as 328
So Score require in fourth test = Required Score Total - (total score in 3 tests)
= 328 - ( 72 + 97 + 82 ) = 77
So she need score of 77 to be at mean of 82 after fourth test and get qualify for the team