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Julli [10]
3 years ago
10

If (x+2/2 = y/5, then which of the following must be true?

Mathematics
1 answer:
kkurt [141]3 years ago
6 0

<em><u>Question:</u></em>

If (x + 2)/2 = y /5, then which of the following must be true?

x/2 = (y-2)/5

x/2 = (y-5)/5

(x+2)/5 = y/25

<em><u>Answer:</u></em>

<em><u>The true is:</u></em>

\frac{x}{2} = \frac{y - 5}{5}

<em><u>Solution:</u></em>

Given that,

\frac{x + 2}{2} = \frac{y}{5}

The above expression can be rewritten as:

\frac{x}{2} + \frac{2}{2} = \frac{y}{5}\\\\Simplify\\\\\frac{x}{2} + 1 = \frac{y}{5}

Move the constant 1 from left side of equation to right side of equation

\frac{x}{2} = \frac{y}{5} - 1

Simplify the right side of equation by making the denominator same

\frac{x}{2} = \frac{y}{5} - \frac{ 1 \times 5}{ 1 \times 5}\\\\\frac{x}{2} = \frac{y}{5} - \frac{  5}{  5}\\\\\frac{x}{2} = \frac{y - 5}{5}

Thus \frac{x}{2} = \frac{y - 5}{5} is true

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Jerry says I've got my money in a great account that compounds interest monthly. The equation y=388 (1.008) represents how much
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Answer:

(a)His monthly Interest Rate=0.8%

(b)Annual Interest Rate = 9.6%

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Step-by-step explanation:

For a Principal P invested at a yearly rate r, compounded m times in t years

Amount at Compound Interest= P(1+\frac{r}{m})^{mt}

Comparing with Jerry's equation y=388 (1.008)

(a)His monthly Interest Rate= 0.008=0.8%

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(c)If I invest $500 at the same rate of return,

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7 0
3 years ago
Help please thank you
Ad libitum [116K]
In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other. 

Let's take the lengths 5x-12 and x+20 and set them equal to each other. 

5x - 12 = x + 20 

Combine like terms by moving them over to their respective sides.

Subtract x from both sides of the equation. 

4x - 12 = 20 

Add 12 to both sides of the equation. 

4x = 32 

Divide both sides by 4. 

x = 8 

Check your answer by substituting. 

5x - 12 = x + 20

5(8) - 12 = 8 + 20

40 - 12 = 28 

28 = 28

Solution: x = 8 




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