2 years ago

Solve [3(4-1)-7] - [6-(4-9)]

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

7 0

Answer:

-9

Step-by-step explanation:

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8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)?

Marysya12 [62]

Answer:

The total percent decrease is $a+b-\frac{a b}{100}$

Step-by-step explanation:

We are given with a word problem
We are asked to find the total percentage decrease
We can do this in two steps

Step 1: Finding the two percentage decrease

Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$

Step 2 of 2

The percentage difference between the two percentages is,

$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$

Since 100 is the total percent $a+b-\frac{a b}{100}$ is the percentage decrease.

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