Answer:
c
Step-by-step explanation:
3⁶ * 4² * 12 = 3⁶ * 4² * 4*3 = 3⁷ * 4³
3³ * 4 * 5
GCF= 3³ * 4
Only common factor with minimum power
To solve this problem you will need to use the cross product method:
1/16 of an hour → write 1 card
3/4 of an hour → write X cards
(3/4) ÷ (1/16) = X
0.75 ÷ 0.0625 = X
12 = X
Joey can write 12 Thank you cards in 3/4 of an hour.
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
33.275
Step-by-step explanation:
<u>1 step:</u> Difference in brackets
![3.5-2\dfrac{1}{3}=3\dfrac{1}{2}-2\dfrac{1}{3}=(3-2)+\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=1+\dfrac{3-2}{3\cdot 2}=1+\dfrac{1}{6}=1\dfrac{1}{6}](https://tex.z-dn.net/?f=3.5-2%5Cdfrac%7B1%7D%7B3%7D%3D3%5Cdfrac%7B1%7D%7B2%7D-2%5Cdfrac%7B1%7D%7B3%7D%3D%283-2%29%2B%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%3D1%2B%5Cdfrac%7B3-2%7D%7B3%5Ccdot%202%7D%3D1%2B%5Cdfrac%7B1%7D%7B6%7D%3D1%5Cdfrac%7B1%7D%7B6%7D)
<u>2 step:</u> ![0.75\div\dfrac{1}{3}](https://tex.z-dn.net/?f=0.75%5Cdiv%5Cdfrac%7B1%7D%7B3%7D)
![0.75\div\dfrac{1}{3}=\dfrac{75}{100}\div \dfrac{1}{3}=\dfrac{3}{4}\times \dfrac{3}{1}=\dfrac{9}{4}](https://tex.z-dn.net/?f=0.75%5Cdiv%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B75%7D%7B100%7D%5Cdiv%20%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B3%7D%7B1%7D%3D%5Cdfrac%7B9%7D%7B4%7D)
<u>3 step:</u> ![1.28\div 0.04](https://tex.z-dn.net/?f=1.28%5Cdiv%200.04)
![1.28\div 0.04=128\div 4=32 \ \text{Move point two decimal places}](https://tex.z-dn.net/?f=1.28%5Cdiv%200.04%3D128%5Cdiv%204%3D32%20%5C%20%5Ctext%7BMove%20point%20two%20decimal%20places%7D)
<u>4 step:</u>
![2\dfrac{1}{4}\times 1\dfrac{1}{6}=\dfrac{2\cdot 4+1}{4}\times \dfrac{1\cdot 6+1}{6}=\dfrac{9}{4}\times \dfrac{7}{6}=\dfrac{63}{24}=\dfrac{21}{8}](https://tex.z-dn.net/?f=2%5Cdfrac%7B1%7D%7B4%7D%5Ctimes%201%5Cdfrac%7B1%7D%7B6%7D%3D%5Cdfrac%7B2%5Ccdot%204%2B1%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B1%5Ccdot%206%2B1%7D%7B6%7D%3D%5Cdfrac%7B9%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B7%7D%7B6%7D%3D%5Cdfrac%7B63%7D%7B24%7D%3D%5Cdfrac%7B21%7D%7B8%7D)
<u>5 step:</u>
![\dfrac{9}{4}+32-\dfrac{21}{8}+1.65=(32+1.65)+\left(\dfrac{9}{4}-\dfrac{21}{8}\right)=33.65+\dfrac{9\cdot 2-21}{8}=33.65-\dfrac{3}{8}=33.65-0.375=33.275](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B4%7D%2B32-%5Cdfrac%7B21%7D%7B8%7D%2B1.65%3D%2832%2B1.65%29%2B%5Cleft%28%5Cdfrac%7B9%7D%7B4%7D-%5Cdfrac%7B21%7D%7B8%7D%5Cright%29%3D33.65%2B%5Cdfrac%7B9%5Ccdot%202-21%7D%7B8%7D%3D33.65-%5Cdfrac%7B3%7D%7B8%7D%3D33.65-0.375%3D33.275)
Answer:
45
Step-by-step explanation: