Answer:
Step-by-step explanation:
![S_{31} = 9 \cdot 31 + [-0.5 \cdot \frac{31(31-1)}{2}] = 46.5](https://tex.z-dn.net/?f=S_%7B31%7D%20%3D%209%20%5Ccdot%2031%20%2B%20%5B-0.5%20%5Ccdot%20%5Cfrac%7B31%2831-1%29%7D%7B2%7D%5D%20%3D%2046.5)
![S_{40} = 40 + [-3 \cdot \frac{40(40-1)}{2}] = -2300](https://tex.z-dn.net/?f=S_%7B40%7D%20%3D%2040%20%2B%20%5B-3%20%5Ccdot%20%5Cfrac%7B40%2840-1%29%7D%7B2%7D%5D%20%3D%20-2300)
Answer: 65 games
Step-by-step explanation:
total = 13 + 5 = 18
90 is 5x of 18
wins = 13*5 = 65 wins
Answer:
6
Step-by-step explanation:
Long division: (x³ + 2) ÷ (x + 1)
<u> </u><u>x² – x + 1 </u>
x³ + 0x² + 0x + 2 | x + 1
<u>– x³ – x²</u> ⋮ ⋮
– x² + 0x ⋮
<u>+ x² + x</u><span> ⋮</span>
+ x + 2
<span> </span> <u>– x – 1</u>
+ 1
Quotient: Q(x) = x² – x – 1;
Remainder: R(x) = + 1.
I hope this helps. =)
Answer: 3 13/24
Step-by-step explanation:
<u>Turn 7 1/6 into an Improper Fraction:</u>
43/6 - 3 5/8
<u>Turn 3 5/8 into an Improper Fraction:</u>
43/6 - 29/8
<u>Subtract:</u>
43/6 - 29/8= 85/24
<u>Turn 85/24 into a Mixed Number (Final Step):</u>
85/24 = 3 13/24
<u>Answer:</u>
3 13/24
Hope this Helps!
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