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Black_prince [1.1K]
3 years ago
13

A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.

Mathematics
1 answer:
Triss [41]3 years ago
8 0

Answer: 2/5

Step-by-step explanation: The total number of letters available to choose from is 10. You want to know the probability of 4 of those 10. So you divide 4/10. When you simplify that fraction it becomes 2/5.

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Width of a rectangle with the length of x+6 and area x^3+2x^3-5x-66
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Hello : 
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3 years ago
Rewrite the equation below so that it does not have fractions.
bearhunter [10]

Answer:

60+10x=6

Step-by-step explanation:

Hi there!

4+\displaystyle \frac{2}{3} x=\frac{2}{5}

To get rid of the fraction \displaystyle \frac{2}{3}, multiply both sides of the equation by 3 (the denominator):

3(4+\displaystyle \frac{2}{3} x)=3(\frac{2}{5})\\\\3*4+\frac{3*2}{3}x =\frac{3*2}{5} \\\\12+2x =\frac{6}{5}

To get rid of the fraction \displaystyle \frac{6}{5}, multiply both sides of the equation by 5 (the denominator):

\displaystyle 5(12+2x) =5(\frac{6}{5})\\\\5*12+5*2x=\frac{5*6}{5} \\\\60+10x=6

I hope this helps!

8 0
3 years ago
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using the formula v=l×w×h , find the volume of a right rectangular prism when the length of the prism is 45cm , the width is 12c
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The volume of the rectangular of prism is 5400
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State the postulate or theorem that proves that the triangles are congruent. If the triangles cannot be proven congruent, write
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8 0
3 years ago
Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).
kolezko [41]

Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

m_{1} = \frac{-1}{m_{2} }

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

y =mx + c , where m is the slope and c is the y - intercept.

Writing the equation in this form , we have

5x - 4y = + 3

4y = 5x -+3

y = 5x/4 + 3/4

comparing with the equation y = mx + c , then m_{1} = 5/4

Which means that m_{2} = -4/5 and the line passes through the point ( -5 , 2 ).

Using the equation of line in slope - point form  to find the equation of the line;

y - y_{1} = m ( x -  y_{1} )

y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

5y + 4x = - 10

4 0
3 years ago
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