The solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
<h3>How to simplify algebraic equations?</h3>
We want to simplify the algebraic equation;
1000(7x - 10) = 50(292 + 100x)
The first step is to use distributive property of equality to expand the bracket to get;
7000x - 10000 = 14600 + 5000x
7000x - 5000x = 14600 + 10000
2000x = 24600
Use division property of equality to divide both sides by 2000 to get;
x = 24600/2000
x = 12.3
Thus, we can conclude that the solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
Read more about algebraic equations at; brainly.com/question/723406
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The distance (d) traveled by the airplane is the product of multiplying the speed (s) and the trip took (h). The equation is shown below,
d = s x h
Substitute the known values to the equation,
637.5 miles = (150 mile/ hour) x h
Manipulating the equation,
h = (637.5 miles) / (150 mile/ hr)
h is equal to 4.25 hours.
Answer:
32.02
Step-by-step explanation:
The number that is in the hundredths place is five. You can remember this by knowing that the decimal point counts as one and all the number to the right of the decimal point count as zero. So 0 is in the tenths place, 1 is in the hundredths place, 5 is in the thousandths place, 6 is in the ten thousandths place and so on. So if you round this number to the nearest hundredth, you'll get 32.02 because if you're rounding a number and the number you're rounding with (knowing that the number you're rounding will always be rounded with the number to the right of it) is 5 or greater than 5, that number that you have to round will go up one unit.
I hope this helped!
Answer:
Step-by-step explanation:
Given expression is,
(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)
To prove this identity we will take the left hand side of the equation and will prove equal to the right side.
(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)
4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)
4x² - 1 = (2x - 1)(2x + 1)
(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]
