Three and seven twelfths
8 3/4 = 35/4 = 210/24
5 1/6 = 31/6 = 124/24
(210-124)/24
86/24
43/12
3 7/12
The smaller number can go into 376 more times.
So the quotient of 376÷93 will be a bigger number.
Answer:
set two equation of line y=ax+b and y=cx+d
when these two lines are perpendicular to each other, then a*c=(-1)
set answer is y=ax+b
we can know that a=1/6
bring in a=1/6 and(-4,5)
5=(1/6)*(-4)+b
=>5=(-2/3)=b
=>b=5 2/3
answer is y=(1/6)x+5 2/3
5cups \= 4 cups
5 represents the amount of food held in the stomach and 4 represents the amount of food that can be held in the stomach
Answer: -5100
<u>Step-by-step explanation:</u>
![\sum^4_1[100(-4)^{n-1}]\qquad \rightarrow \qquad a_1=100\ \text{and r = -4}\\\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\\\S_4=\dfrac{100(1-(-4)^4)}{1-(-4)}\\\\\\.\quad=\dfrac{100(1-256)}{1+4}\\\\\\.\quad=\dfrac{100(-255)}{5}\\\\.\quad=20(-255)\\\\.\quad=-5100\\](https://tex.z-dn.net/?f=%5Csum%5E4_1%5B100%28-4%29%5E%7Bn-1%7D%5D%5Cqquad%20%5Crightarrow%20%5Cqquad%20a_1%3D100%5C%20%5Ctext%7Band%20r%20%3D%20-4%7D%5C%5C%5C%5C%5C%5CS_n%3D%5Cdfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D%5C%5C%5C%5C%5C%5C%5C%5CS_4%3D%5Cdfrac%7B100%281-%28-4%29%5E4%29%7D%7B1-%28-4%29%7D%5C%5C%5C%5C%5C%5C.%5Cquad%3D%5Cdfrac%7B100%281-256%29%7D%7B1%2B4%7D%5C%5C%5C%5C%5C%5C.%5Cquad%3D%5Cdfrac%7B100%28-255%29%7D%7B5%7D%5C%5C%5C%5C.%5Cquad%3D20%28-255%29%5C%5C%5C%5C.%5Cquad%3D-5100%5C%5C)
