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1 year ago

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4 Celeste uses 24 inches of ribbon from a spool that holds 36 inches of ribbon. Which shows equivalent representations for the p

art of the spool that Celeste uses? A) 1/3, 33 1/3%, 0.3B) 2/3, 60%, 0.6C) 0.6, 2/3, 66 2/3%D) 30%, 0.3, 1/3

1 answer:

kaheart [24]1 year ago

8 0

We are given that 24 out of 36 inches of ribbon is used. The percentage that is used is equivalent to:

$\frac{24}{36}=\frac{2}{3}$

Therefore, the percentage is:

$\frac{2}{3}\times100=0.66\times100=66\text{ percent}$

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1) Find the graph of a line passing through (-1, 4) and (2, 0).

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The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

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3 years ago

What two numbers multiply to 54 and add up to 7

k0ka [10]

Xy = 54
x + y = 7

$xy = 54$
$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

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$x = \frac{7 \± \sqrt{-167}}{2}$
$x = \frac{7 \± i\sqrt{167}}{2}$
$x = \frac{7 \± 12.9i}{2}$
$x = 3.5 \± 6.45i$
$x = 3.5 + 6.45i$ $or$ $3.5 - 6.45i$

x + y = 7
3.5 + 6.45i + y = 7
- (3.5 + 6.45i) - (3.5 + 6.45i)
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  or

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3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
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(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

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This is the most simplified form we can get:

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Step-by-step explanation:

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