Answer:
Your answer should be -8/45
Step-by-step explanation:
-2/3 divided by 3 3/4
-2/3 divided by 15/4 (Make it improper)
Then you divide both numbers
you should get -8/45
Answer:
The numbers are 18 and 91
Step-by-step explanation:
You can translate the information to two equations:
<em>a value 5 times a smaller number is 1 less than a larger number</em>
5a = b - 1
<em>their difference is 73</em>
b - a = 73
Then you should merge one equation into the other, thereby eliminating one variable. You can do this any way you want. I choose to rewrite the first equation as:
b = 5a + 1
Now I can write 5a+1 in the second equation at the place where b was:
5a + 1 - a = 73
It is now an equation with only one variable, solve by simplifying
4a = 72
a = 18
Now b can be found using b = 5a + 1
b = 91
Set up a proportion:
5/200 = 7/x
Cross multiply:
200 * 7 = 5 * x
1400 = 5x
Divide 5 to both sides:
x = 280
Answer:
see explanation
Step-by-step explanation:
To complete the square
add ( half the coefficient of the x- term )² to x² - 2x
x² + 2(- 1)x + 1
(x² - 2x + 1 = (x - 1)²