All you need to do is pull out the common factor of

:
Answer:
5 5/6
Step-by-step explanation:
Change them into improper fractions. Multiply the denominator by the whole number and then add the numerator. Put that number over the denominator.
2 X 3 = 6 3 X 2 = 6
6 + 1 = 7 6 + 1 = 7
7/3 7/2
New expression: 7/3 + 7/2
Find a common denominator. Both denominators can go into 6.
14/6 + 21/6 = 35/6
Change this back into a mixed number by dividing.
Answer: 5 5/6
Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
Answer: -121
Step-by-step explanation:
The new value after the original value is increased by 30% is 1.3 times the original value.
<h3>
Percentage</h3>
Percentage is used to express a fraction number or decimal in fraction of hundred. It is given by:
Percentage = [(new value - original value) / original value] * 100%
Let x represent the new value and y represent the original value, hence:
30% = [(x - y)/y] * 100%
0.3 = (x - y)/y
x - y = 0.3y
x = 1.3y
The new value after the original value is increased by 30% is 1.3 times the original value.
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