The solution to the equation 0.6x - 5 = 0.1x + 7 is x = 24.
To solve the equation 0.6x - 5 = 0.1x + 7 for x, we need to isolate the variable x on one side of the equation. Here's the step-by-step explanation:
Step 1: Simplify the equation
Combine like terms on both sides of the equation.
0.6x - 0.1x - 5 = 0.1x - 0.1x + 7
0.5x - 5 = 7
Step 2: Move the constant term to the other side
To isolate the variable x, we want to get rid of the constant term on the same side as x.
0.5x - 5 + 5 = 7 + 5
0.5x = 12
Step 3: Solve for x
Now, we'll solve for x by dividing both sides of the equation by the coefficient of x, which is 0.5.
(0.5x)/0.5 = 12/0.5
x = 24
So the solution to the equation 0.6x - 5 = 0.1x + 7 is x = 24.
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1. Four more than five times a number is less than 54. Evaluate this problem situation for values of the number.
2. Two times the sum of a number and four increased by three is at most six less than the number. Evaluate this problem of situation for values of the number.
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Find the percent error of the measurement 7 cm.
Answer:
The percent error of the measurement 7 cm is 7.14%.
Step-by-step explanation:
Given : Measurement 7 cm
To find : The percentage error of the given measurement.
Solution :
First we find the error in the measurement.
Measuring to the nearest centimeter means the true value could be up to half a meter smaller or larger.
i.e It is upto 0.5 (between 6.5 and 7.5)
Measurement - 7 ±0.5 cm
Absolute Error = 0.5 cm
Relative Error = [tex]\frac{0.5}{7}=0.0714[/tex]
Percentage Error = [tex]0.0714\times 100=7.14\%[/tex]
Therefore, The percent error of the measurement 7 cm is 7.14%.
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Is the value of the 1 in 1,440,000 10 times as great as the value of the 4 in the hundred thousands place?
The value of the 1 in the number 1,440,000, which is in the million's place, is 2.5 times greater than the value of the 4 which is in the hundred thousand's place.
Explanation:The value of the 1 in the number 1,440,000 is in the millions place, thus it represents 1,000,000. The 4 on the other hand, is in the hundred thousands place, and thus represents 400,000. The value of the 1 is therefore not just ten times the value of the 4, but in fact, it is 2.5 times greater.
Here is the process: value of 1 = 1,000,000, value of 4 = 400,000, so 1,000,000 / 400,000 = 2.5. Therefore, the value of 1 is 2.5 times the value of 4.
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