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In order to determine the probability that the coin chosen is a dime, determine first the total number of sample coins. In this problem, there are 52 coins all in all. Next, divide the number of dimes in the sample with the total number of coins. This gives us 10/52. Simplifying the fraction further yields to 5/26. Thus, the probability that the coin chosen is dime is 5/26. The answer is letter c.
40*7= 280
You would put 280 over 320
280
-----
320
Take off the zeros since they both have one.
28
---
32
28/32 is your answer.
If you need a simplified version your answer would be 7/8
<span>Let x be the
width of the frame.
Area of the picture is 5*7 = 35 sq in</span>
Area of the
frame given as the same, frame = 35 sq in also
<span>
Therefore the total area (picture & frame) will be 70 sq in</span>
<span>
A simple equation would be made and it will look like this: (7+2x) * (5+2x) =
70
</span>
<span>Using the FOIL
method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0</span>
<span>
unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35</span><span>
</span><span> x = -b sqrt b^2 – 4*a*c divided by 2 * a</span><span>
x
= -24</span> ±<span>
sqrt 24^2 -4*4*(-35) divided by 2*4
x = -24 </span>±<span>sqrt 576 -
-(560) divided by 8
x = -24 </span>± sqrt 576 + 560 divided by 8<span>
x = -24 </span>± sqrt1136
divided by 8<span>
x = -24 + 33.7046 divided by 8
x = 9.7046 divided by 8
x =1.213 inches is the answer</span>
<span> </span>
Answer:
12.57
Step-by-step explanation: