Mixed numbers are basically sometimes a sign of division. You need to turn the mixed number into an improper fraction.
Steps:
Multiply the whole number by the denominator of the fraction and then add that product to the numerator. Leave the denominator as it is before.
Example:
2 1/4
2x4=8
8+1= 9
Answer: 9/4
Then you can divide!
It depends if it is
1. 3x+(1/14)=(2x)/8 or
2. (3x+1)/14=(2x)/8
if it is 1
1.
3x+(1/14)=2x/8
simplify 2x/8
2x/8=x/4
3x+(1/14)=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
84x+2=7x
subtract 7x from both sides
77x+2=0
subtract 2 from both sides
77x=-2
divide both sides by 77
x=-2/77
2.
(3x+1)/14=2x/8
simpify 2x/8
2x/8=x/4
(3x+1)/14=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
(2)(3x+1)=7x
distribute
6x+2=7x
subtract 6x from both sides
2=x
Answer:
Step-by-step explanation:
<h3>
Answer: Point E is located at (2, 3)</h3>
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Explanation:
The sequence PQRST has T as the last letter.
The sequence ABCDE has E as the last letter
The two letters T and E pair up or they correspond. So T will rotate to land on point E. Or T will rotate to point E's location.
Point T is at location (-3,2). So x = -3 and y = 2.
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Use the rule
(x,y) ---> (y, -x)
which is the rule we use when we rotate any point 90 degrees clockwise around the origin. We swap the x and y coordinates, then change the sign of the second coordinate (after the swap happens).
This means,
(-3, 2) ----> (2, -(-3)) = (2, 3)
or simply
(-3, 2) ---> (2, 3)
