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Lorico [155]
2 years ago
15

Find each percent of change. 30 is decreased to 6

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
4 0

Answer:

80

Step-by-step explanation:

we know that 1 percent of 30 is just 30 / 10 which is 3. Is 6 a multiple of 3? yes it is. 6 / 3 = 2. that means 6 is 20 percent of 30 but it hasn't been decreased by 6, it is 6. meaning that the answer is 100 - 20 which is 80

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Equation of the line in slope-intercept form is y = -1/5 x + 9

Step-by-step explanation:

  • Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.

⇒ y = -1/5 x + b  ------ (1)

  • Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)

⇒ 9 = -1/5 × -10 + b = 2 + b

⇒ b = 9 - 2 = 7

  • Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.

⇒ y = -1/5 x + 7

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They are particularly useful in situation when you have an example given, and you want to extrapolate the relationship for another couple.

For example, you can think of the following problem: "Five apples cost 2 dollars. How much will 8 apples cost?"

You can build the proportion

5\div 2 = 8\div x

And then solve it for x:

\dfrac{5}{2}=\dfrac{8}{x} \iff 5x=16 \iff x = \dfrac{16}{5} = 3.2

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