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3 years ago

1 5/6 divided by 11/12

1 answer:

8 0

First convert the mixed number to a fraction: 1 5/6 = 11/6.
$\frac{\frac{11}{6}}{\frac{11}{12}}=\frac{11}{6}\times\frac{12}{11}=2$

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Solve the proportion

mario62 [17]

Answer:

$\boxed{\sf x = 5}$

Step-by-step explanation:

$\sf Solve \: for \: x \: over \: the \: real \: numbers: \\ \sf \implies \frac{2}{x - 3} = \frac{5}{x} \\ \\ \sf Take \: the \: reciprocal \: of \: both \: sides: \\ \sf \implies \frac{x - 3}{2} = \frac{x}{5} \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} = \frac{x}{5} \\ \\ \sf Subtract \: \frac{x}{5} - \frac{3}{2} \: from \: both \: sides: \\ \sf \implies \frac{x}{2} - \frac{3}{2} - ( \frac{x}{5} - \frac{3}{2} ) = \frac{x}{5} - ( \frac{x}{5} - \frac{3}{2} ) \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} - \frac{x}{5} + \frac{3}{2} = \frac{x}{5} - \frac{x}{5} + \frac{3}{2} \\ \\ \sf \frac{x}{5} - \frac{x}{5} = 0 : \\ \sf \implies \frac{x}{2} - \frac{x}{5} - \frac{3}{2} + \frac{3}{2} = \frac{3}{2} \\ \\ \sf \frac{3}{2} - \frac{3}{2} = 0: \\ \sf \implies \frac{x}{2} - \frac{x}{5} = \frac{3}{2} \\ \\ \sf \frac{x}{2} - \frac{x}{5} = \frac{5x - 2x}{10} = \frac{3x}{10} : \\ \sf \implies \frac{3x}{10} = \frac{3}{2} \\ \\ \sf Multiply \: both \: sides \: by \: \frac{10}{3} : \\ \sf \implies \frac{3x}{10} \times \frac{10}{3} = \frac{3}{2 } \times \frac{10}{3} \\ \\ \sf \frac{3x}{10} \times \frac{10}{3} = \cancel{\frac{3}{10} } \times( x) \times \cancel{ \frac{10}{3} } = x : \\ \sf \implies x = \frac{3}{2} \times \frac{10}{3} \\ \\ \sf \frac{3}{2} \times \frac{10}{3} = \cancel{ \frac{3}{2} } \times \cancel{ \frac{3}{2} } \times 5 : \\ \sf \implies x = 5$

8 0

3 years ago

The graph of 2x+y=8 is shown on the graph below. Graph the equation y=13x−6 on the same coordinate plane below. Plot the point t

Viktor [21]

Im not sure why it brought me here it just brought me here sorry

7 0

3 years ago

X. Y

Dovator [93]

Answer:

Slope: 5

Y-intercept: 0

Equation: y=5x

Step-by-step explanation:

Lets look for an equation of the format y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

Slope is defined as the "Rise/Run" of the line. The change in y(the rise) for a change in x(the run). This can be calculated by taking any two of the given data points. I'll pick (1,5) and (5,25):

Rise = (25 - 5) = 20

Run = (5 - 1) = 4

The Rise/Run, or slope, m, is (20/4) or 5.

<u>The equation becomes y = 5x + b.</u>

To find b, the y-intercept, enter <u>any</u> of the points into the equation and solve for b:

y = 5x + b

y = 5x + b for (4,20)

20 = 5*(4) + b

b = 0

The line goes through the origin at x = 0 (0,0).

The equation is y = 5x + 0 or just y = 5x.

Slope: 5

Y-intercept: 0

Equation: y=5x

4 0

1 year ago

Find the theoretical probability of randomly chose a vowel ( a e i o u)

olganol [36]

There are 26 letters with 5 vowels. That is a 5/26 chance of randomly picking a vowel. Hope this is helpful!

8 0

3 years ago

PLEASE HELP! 40 POINTS

Misha Larkins [42]

Answer:

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

here b = z and h = w , then

A = $\frac{1}{2}$ zw

3 0

1 year ago