Answer: 23/45
step-by-step explanation:
write out your equation equal to x
x = 0.51 with a repeating 1
count the repeating decimal (1) and multiply each sides of the equation by 10^1
10x = 5.11 with a repeating 1
9x = 4.6 subtract the first equation from the second
solve for x
x = 4.6/9
eliminate the 1 decimals by multiplying the numerator and denominator by 10^1
4.6/9 • 10/10 = 46/90
find the greatest common factor
46/2 / 90/2 = 23/45
the fraction is already simplified at 23/45
i hope this helps :)
What you can do is multiply the whole first equation by 12, so 6x + 26.4y = 108.
then since the coefficients of the x value (the number in front of the x) are the same in both equations, you can subtract the second equation from the first:
6x + 26.4y = 108
-(6x + 0.4y = -22)
26y = 130 divide by 26
y = 5
you can then plug y=5 into one of the equations to solve for x:
0.5x + 2.2(5) = 9
0.5x + 11 = 9 subtract 11 from both sides
0.5x = -2 multiply each side by 2
x = -4
To solve this polynomial equation, we first factor the left side.
To factor x² + 8x + 12 = 0, look for factors of 12 that add to 8.
These factors are 6 and 2 so we have (x + 6)(x + 2) = 0.
So either x + 6 = 0 or x + 2 = 0 and solving for
x in each equation, our answer is {-6, -2}.
Answer:
2 ounces
Step-by-step explanation:
1 = 5/8 - 1/4 = 1/8
16 x 1/8 = 2 oz