Answer:
Step-by-step explanation:
3.4 + 19.4 - 9.6x = 61.2
22.8 - 9.6x = 61.2
-9.6x = 61.2 - 22.8
-9.6x = 38.4
x = -4
Answer:
Step-by-step explanation:
Simplifying
3.4 + 2(9.7 + -4.8x) = 61.2
3.4 + (9.7 * 2 + -4.8x * 2) = 61.2
3.4 + (19.4 + -9.6x) = 61.2
Combine like terms: 3.4 + 19.4 = 22.8
22.8 + -9.6x = 61.2
Solving
22.8 + -9.6x = 61.2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-22.8' to each side of the equation.
22.8 + -22.8 + -9.6x = 61.2 + -22.8
Combine like terms: 22.8 + -22.8 = 0.0
0.0 + -9.6x = 61.2 + -22.8
-9.6x = 61.2 + -22.8
Combine like terms: 61.2 + -22.8 = 38.4
-9.6x = 38.4
Divide each side by '-9.6'.
x = -4
Simplifying
x = -4
3/(5 - 6i)
To simplify this, we need to multiply both sides by the conjugate of the denominator, which is 5 + 6i
3(5 + 6i)
Distributive property.
15 + 18i
(5 - 6i)(5 + 6i)
25 + 30i - 30i - 36i^2
25 - 36i^2
i^2 = -1
25 + 36
61
The one possible number that fits this rule is 495
Step-by-step explanation:
Let us revise how we can round a number
1. When we round a number to the nearest ten we look to the one
digit if its 5 or greater than 5 we add the ten digit by 1 and put the
one digit 0, if the one digit less than 5 we keep the ten digit as it
and put the ones digit 0
2. When we round a number to the nearest hundred we look to the
ten digit if its 5 or greater than 5 we add the hundred digit by 1 and
put the ten and one digits 0, if the ten digit less than 5 we keep the
hundred digit as it and put the ten and one digits 0
Examples:
If 256 rounded to the nearest ten, then it will be 260
and if rounded to the nearest hundred, then it will be 300
If 543 rounded to the nearest ten, then it will be 540
and if rounded to the nearest hundred, then it will be 500
Now let us solve the problem
We are looking for 3 digit number when rounded to the nearest ten
and to the nearest hundred give the same answer
∴ Its unit digit must be 5 or greater than 5 to add ten digit by 1
∴ Its ten digit must be 9 because when we add 9 by 1 it will be 10
and that mean the hundred digit will added by 1
- If The number is 495
∵ Its unit digit is 5
∴ When we round it to the nearest ten we will add the ten digit 9 by 1
∴ The ten digit will be 10 then we will add hundred digit by 1
∴ The hundred digit is 5 , ten digit is 0 and we will put the one digit 0
∴ The number after rounded to the nearest ten is 500
∵ When we round it to the nearest hundred we will look to the ten digit
∵ Its ten digit is 9
∴ We will add the hundred digit 4 by 1 and put the ten and one digits 0
∴ The number after rounded to the nearest hundred is 500
The one possible number that fits this rule is 495
Learn more:
You can learn more about rounding to significant figure in brainly.com/question/12445529
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