Answer:
7/11
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=0.63¯¯¯¯¯
With 2 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 102 = 100
Equation 2:
100X=63.63¯¯¯¯¯
Subtract equation (1) from equation (2)
100XX99X===63.63...0.63...63
We get
99X=63
Solve for X
X=6399
Find the Greatest Common Factor (GCF) of 63 and 99, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 9,
63÷999÷9=711
Therefore
X=711
In conclusion,
0.63¯¯¯¯¯=711
used
https://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php
The answer is 0.38
It can also be 19/50
I hope this helps
Answer:
5.0 x 10^-2
Step-by-step explanation:
you need to move the decimal place to the right in order to be 1 or over.
moving the decimal to the right will cause the exponent to be negative. opposite direction is positive.
Answer:
y = 30x
Step-by-step explanation:
y is the amount of money
30 is the constant, the amount of money she gets per x, month
To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation. This is modeled below:
x = -8y - 15
2x + 5y = -8
2 (-8y - 15) + 5y = -8
Now, we should solve this new equation for y. To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.
-16y - 30 + 5y = -8
Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.
-11y - 30 = -8
Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.
-11y = 22
After that, we should divide both sides of the equation by -11 in order to get the variable y alone.
y = -2
Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).
x = -8y - 15
x = -8(-2) - 15
To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.
x = 16 - 15
x = 1
Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.
Hope this helps!
