Answer:
B: 8 7/8 Lbs
Step-by-step explanation:
answer = ![15\frac{1}{8} -3\frac{1}{2} -2\frac{3}{4}](https://tex.z-dn.net/?f=15%5Cfrac%7B1%7D%7B8%7D%20-3%5Cfrac%7B1%7D%7B2%7D%20-2%5Cfrac%7B3%7D%7B4%7D)
step 1 find a common denominator
common denominator - 8
* apply *
![\frac{1^*^1}{8^*^8} =\frac{1}{8} \\\\\frac{1^*^4}{2^*^4} =\frac{4}{8} \\\\\frac{3^*^2}{4^*^2} =\frac{6}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%5E%2A%5E1%7D%7B8%5E%2A%5E8%7D%20%3D%5Cfrac%7B1%7D%7B8%7D%20%5C%5C%5C%5C%5Cfrac%7B1%5E%2A%5E4%7D%7B2%5E%2A%5E4%7D%20%3D%5Cfrac%7B4%7D%7B8%7D%20%5C%5C%5C%5C%5Cfrac%7B3%5E%2A%5E2%7D%7B4%5E%2A%5E2%7D%20%3D%5Cfrac%7B6%7D%7B8%7D)
now we have
![15\frac{1}{8} -3\frac{4}{8} -2\frac{6}{8}](https://tex.z-dn.net/?f=15%5Cfrac%7B1%7D%7B8%7D%20-3%5Cfrac%7B4%7D%7B8%7D%20-2%5Cfrac%7B6%7D%7B8%7D)
step 2 make each fraction a improper fraction
We can do this my multiplying the big number by the denominator and adding that to the numerator.
![15*8=120\\120+1=121\\\frac{121}{8} \\\\3*8=24\\24+4=28\\\frac{28}{8} \\\\2*8=16\\16+6=22\\\frac{22}{8}](https://tex.z-dn.net/?f=15%2A8%3D120%5C%5C120%2B1%3D121%5C%5C%5Cfrac%7B121%7D%7B8%7D%20%5C%5C%5C%5C3%2A8%3D24%5C%5C24%2B4%3D28%5C%5C%5Cfrac%7B28%7D%7B8%7D%20%5C%5C%5C%5C2%2A8%3D16%5C%5C16%2B6%3D22%5C%5C%5Cfrac%7B22%7D%7B8%7D)
now we have
![\frac{121}{8} -\frac{28}{8} -\frac{22}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B121%7D%7B8%7D%20-%5Cfrac%7B28%7D%7B8%7D%20-%5Cfrac%7B22%7D%7B8%7D)
Now we can subtract
remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )
so 121 - 28 - 22 = 71
so the answer is ![\frac{71}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B71%7D%7B8%7D)
finally we want to change the answer back into a mixed fraction
To do this we divided 71 and 8
8 can go into 71 8 times
8 * 8 = 64
71 - 64 = 7
We're left with ![8\frac{7}{8}](https://tex.z-dn.net/?f=8%5Cfrac%7B7%7D%7B8%7D)
step 1
Find the measure of angle 1
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle ABC
90+58+<1=180
148+<1=180
<1=180-148
<1=32 degrees
step 2
Find the measure of angle 2
we know that
<2=<1 -----> bt vertical angles
so
<2=32 degrees
step 3
Find the measure of angle 3
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle CDE
32+108+<3=180
140+<3=180
<3=180-140
<3=40 degrees
4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
Answer:
P( not win) = 2/ (n+2)
Step-by-step explanation:
There are n+2 total possibilities
There are n winners
not win = n+2 - n = 2
P( not win) = not win / total
= 2/ n+2
<span><span>SphereA sphere is the set of all points in space that are a fixed distance from a common point called the center.</span><span>Pyramids<span>A three-dimensional shape with one polygonal base and lateral faces the shape of triangles that meet at a common vertex, called the apex
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