In order to solve an equation for a variable, we need to isolate that variable on one side of the equation (either left side or right side).
Following are some steps to solve equation/inequality in one variable:
1) Get rid constant number from on side by applying reverse operation of addition or subtraction.
2) Get rid variable terms from other side by applying reverse operation of addition or subtraction.
3) Combine like terms on both sides.
4) Get rid any coefficent ( a number in front of a variable) by dividing from both sides.
5) Finally you get a variable on one side and solution on other side.
Answer:
A. 270.9
Step-by-step explanation:
We know that the rule of significant figures for addition and subtraction states that 'the number of places after the decimal point in the result is equal to the least number of decimal places in each term.'
So, 67.31 - 8.6 + 212.198 = 67.31 + 212.198 - 8.6 = 279.508 - 8.6 = 270.908
Now, the resultant number is 270.908
Using the rule of significant figures, we get that, the number of places after the decimal point in 270.908 will be equal to the least number of decimal places i.e. 1 ( in 8.6 )
Hence, 67.31 - 8.6 + 212.198 = 270.9
complete question:
Solve the inequality that represents the story. Then interpret what the solution means in the story.
Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall.
9 - 7x < 6
Answer:
x > 3/7
x which is the inches per minute the candle will burn should be greater than 3/7 for the candle to be less than 6 inches tall.
Step-by-step explanation:
The candle is 9 inches and it burns down x inches per minute. Lin wants to let the candle burn for 7 minutes until it is less than 6 inches tall. The inequality can be solved below.
9 - 7x < 6
subtract 9 from both sides of the equation
9 - 9 - 7x < 6 - 9
- 7x < - 3
divide both sides by -7
- 7x / -7 < - 3/ - 7
dividing both sides with a negative values changes the inequality sign
x > 3/7
x which is the inches per minute the candle will burn should be greater than 3/7 for the candle to be less than 6 inches tall.
(2/5)k + (1/10)k = (1/2)k - 1
0.4k + 0.1k = 0.5k - 1
We need to solve for k.
Subtract 0.4k from both sides
0.4k - 0.4k + 0.1k = 0.5k - 0.4k - 1
0.1k = 0.1k - 1
Subtract 0.1k from both sides:
0.1k - 0.1k = 0.1k - 0.1k - 1
0 = -1
Impossible. The equation has no solution.
Answer:
B, D
Step-by-step explanation:
For an odd-degree polynomial, such as this cubic, the domain and range are both "all real numbers."