Here, what we want to find is the lowest number of bottles / soaps while having the total inventory used. As we want the number of bottles and soaps to fit perfectly, we have to find a common divisor of 48 and 64. In addition, since we want the maximum number of baskets, we want to find the highest common divisor of the two numbers. Using a little guess and check, we can find 16 baskets as our answer. To have the same number of soaps and lotions in each, we have 48/16= 3 soaps per basket and 64/16=4 lotions per basket.
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The answer to this question is 7 4/9
to find this you first have to find the LCM (in this case it is 9) then you have to figure what you multiplied by to get to your LCM (9) whatever you do to the bottom you have to do to the top and that is how you end up with your numerator (the top number in a fraction) usually if you have the same denominators (the bottom number in a fraction) you can +/- like normal. sometimes though you can't (like this case) because you can't take a bigger number away from a smaller one.
if you would like to know how to subtract mixed numbers/fractions like this please write me a private letter on my profile. hope this helped. :))))
Answer:
(c+3b)/8 = a
Step-by-step explanation:
c = 8a -3b
Add 3b to each side
c +3b = 8a-3b+3b
c +3b = 8a
Divide each side by 8
(c+3b)/8 = 8a/8
(c+3b)/8 = a
<h3>
Answer: 102.5 degrees</h3>
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Explanation:
If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.
When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.
Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees
Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.
Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees
Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.