Answer:
ounces of clay are left in the bucket.
Step-by-step explanation:
We have been given that Luis and Glen share a 16-ounce bucket of clay. By the end of the week, Luis has used 5/8 of the bucket, and Glen has used 1/4 of the bucket of clay.
To solve our given problem, we need to subtract sum of clay used by Luis and Glen from total amount of clay.
![16-(\frac{5}{8}+\frac{1}{4})](https://tex.z-dn.net/?f=16-%28%5Cfrac%7B5%7D%7B8%7D%2B%5Cfrac%7B1%7D%7B4%7D%29)
Now, we will make a common denominator as:
![\frac{16\cdot 8}{8}-(\frac{5}{8}+\frac{1\cdot 2}{4\cdot 2})](https://tex.z-dn.net/?f=%5Cfrac%7B16%5Ccdot%208%7D%7B8%7D-%28%5Cfrac%7B5%7D%7B8%7D%2B%5Cfrac%7B1%5Ccdot%202%7D%7B4%5Ccdot%202%7D%29)
![\frac{128}{8}-(\frac{5}{8}+\frac{2}{8})](https://tex.z-dn.net/?f=%5Cfrac%7B128%7D%7B8%7D-%28%5Cfrac%7B5%7D%7B8%7D%2B%5Cfrac%7B2%7D%7B8%7D%29)
![\frac{128}{8}-(\frac{5+2}{8})](https://tex.z-dn.net/?f=%5Cfrac%7B128%7D%7B8%7D-%28%5Cfrac%7B5%2B2%7D%7B8%7D%29)
![\frac{128}{8}-\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B128%7D%7B8%7D-%5Cfrac%7B7%7D%7B8%7D)
![\frac{128-7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B128-7%7D%7B8%7D)
![\frac{121}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B121%7D%7B8%7D)
![15\frac{1}{8}](https://tex.z-dn.net/?f=15%5Cfrac%7B1%7D%7B8%7D)
Therefore,
ounces of clay are left in the bucket.
60 minutes = 1 hour
Divide both sides by 60 to get 1 minute = 1/60 hours and then multiply both sides by 'm' to get m minutes = m/60 hours.
So 'm' minutes equals m/60 hours.
Ex: If m=120, then 120 minutes = 120/60 = 2 hours
Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.
As given in the question,
Measure of the angle is given by :
m ∠ RPS=14 x + 46 °
m ∠ RQS=3 x + 43 °
m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)
14 x +46 =2(3 x + 43)
⇒ 14x + 46 = 6x +86
⇒ 14x-6x=86-46
⇒8x=40
⇒ x=5°
m ∠ RQS = (3 x + 43) °
=[3(5) + 43 ]°
= 58°
Therefore, measure of the angle in the given circle m ∠RQS is equal to the 58 °
Learn more about angle here
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Answer:
There are 32760 ways to pick the members
Step-by-step explanation:
For the first place you have 15 possibilities, since every member of the club is available. For Madison you will have only 14, since you cant pick the same member than the one you picked for Sheyoygan. For the same argument, you will have 13 possibilities available for La Crosse, and only 12 for Green Bay.
We have to pick a combination using the possibilities that we have, thus, you have to multiply all 4 possibilities toguether to find the amount of ways to choose members to attend the conferences. This means that you will have a total of 15*14*13*12 = 32760 possibilities in total.