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a. Okay. So for questions like these, we have to combine like terms and solve this answer out. The problem would look like this: 10x - 6 = 24 + 9x. First, subtract 9x from both sides to get x - 6 = 24. Now, add 6 to both sides and you get x = 30. There is one solution and the equation is neither.
b. Repeat the same thing in this equation. 25 - 4x = 25 - 4x. First, add 4x to both sides to get 25 = 25. There are in infinite number of solutions and the equation is an identity.
c. 4x + 8 = 4x - 13. okay, subtract 4x from both sides, and you get 8 = 13, which is not a true statement. This problem has no solutions and is a contradiction.
Basically, to solve these problems, you have to add or subtract the "x" from the right side first to get the whole number by itself, and then if needed, add or subtract the whole number from the left side. Then, divide each side by the number the "x" is beside to isolate the "x". If the number is a positive, you subtract. If a number is negative, you add. If the number beside the "x" is negative and you have to divide, just divide by the negative. An identity equation has an infinite number of solutions, a contradiction equation has no solutions, and neither just simply means it's not an identity nor contradiction.
Answer:
3 groups
Step-by-step explanation:
6 / 2 = 3 groups
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Answer:
Step-by-step explanation:
This is a cyclic quadrilateral.
It has a property of opposite angles being supplementary.
<u>A and C are supplementary angles:</u>
- 3x + 6 + x + 2 = 180
- 4x + 8 = 180
- 4x = 172
- x = 43
m∠A = 3x + 6 = 3*43+ 6 = 135°
Answer:
150 feet would be first point when they both fall down.
Step-by-step explanation:
As Justin falls down every 30 feet and Mike falls down every 25 feet.
In order to find the first point when Justine and Mike both would be fallen, we need to determine the Least Common Multiple of L.C.M of 25 and 30.
In order to determine the Least Common Multiple of L.C.M of 25 and 30, first we need to list down some of the multiples of 25 and 30 until we find the lowest shared multiple of 25 and 30.
25: 25 50 75 100 125 150
30: 30 60 90 120 150
So, it is clear that the lowest shared multiple of 25 and 30 is 150. So, 150 will be our Least Common Multiple.
Therefore, 150 feet would be first point when they both fall down.
Keywords: Least Common Multiple, LCM
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Answer:
1500 grams of grain
Step-by-step explanation:
How many grams of grain will there be in 2.4 kg of shelled hazelnuts?
Step 1
Convert kg to g
1 kg = 1000g
2.4 g = x
Cross Multiply
x = 2.4 × 1000g = 2400g
Step 2
An 800 gram sample of shelled hazelnuts has 500 grams of grain.
Hence,
800g hazelnuts = 500 gram of grain
2400g hazelnuts = x
Cross Multiply
800x = 2400g × 500g
x = 2400g × 500g/800
x = 1500 grams of grain