what is the value of the expression? 4(6/10−1/5)+0.4 enter your answer, in simplest form, in the box.

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

6 0

Answer: 2.0

Step-by-step explanation:

The given expression : $4(\dfrac{6}{10}-\dfrac{1}{5})+0.4$

To solve the given expression , we need to follow BODMAS (Bracket→ Of Divide→ Multiplication →Add →Subtract).

According to BODMAS , first we simplified the expression present inside the brackets .

$4(\dfrac{6-2(1)}{10})+0.4$ [10= LCM[10,5]]

$=4(\dfrac{6-2}{10})+0.4$

$=4(\dfrac{4}{10})+0.4$

$=(\dfrac{4\times4}{10})+0.4$ [Multiply]

$=(\dfrac{16}{10})+0.4$ [Simplify]

$=1.6+0.4=2.0$ [Add]

Hence, the value of the expression in the simplified form = 2.0

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Original Salary: $5,957.14$

Increase in 3%: $6,135.85$

Step-by-step explanation:

So when something increases by x%, the new value is (100+x)% the original value. So 6255, is 105% the original value. This means to find the original value, we have to find the number that has 6255 as 105% of it's value. Whenever you try to find x% of a number, you multiply it by the decimal value of the percentage, which is found by dividing by 100. So to find x%, you do: $o*\frac{x}{100}$ where o = original value, x=percent. In this case the percent is 105%, which when divided by 100 is 1.05. So this gives us the equation: $o*1.05=6255 \implies o = \frac{6255}{1.05} = 5,957.14$ . This is his original salary. You need to do this process, do not make the mistake of subtracting 5% from 6255. This is because 5% of 6255 does not equal the 5% of the original value. 5% of 6255 should be greater than 5% of the original value, since the new value is an increase of 5%. So since we have his original salary, we can calculate the salary increase had it been 3%. to do this we multiply by 1.03 (103% divided by 100). This gives us the equation: $5,957.14*1.03=6,135.85$