The formula for the nth term of a geometric sequence:
a₁ - the first term, r - the common ratio
![54, a_2, a_3, 128 \\ \\ a_1=54 \\ a_4=128 \\ \\ a_n=a_1 \times r^{n-1} \\ a_4=a_1 \times r^3 \\ 128=54 \times r^3 \\ \frac{128}{54}=r^3 \\ \frac{128 \div 2}{54 \div 2}=r^3 \\ \frac{64}{27}=r^3 \\ \sqrt[3]{\frac{64}{27}}=\sqrt[3]{r^3} \\ \frac{\sqrt[3]{64}}{\sqrt[3]{27}}=r \\ r=\frac{4}{3}](https://tex.z-dn.net/?f=54%2C%20a_2%2C%20a_3%2C%20128%20%5C%5C%20%5C%5C%0Aa_1%3D54%20%5C%5C%0Aa_4%3D128%20%5C%5C%20%5C%5C%0Aa_n%3Da_1%20%5Ctimes%20r%5E%7Bn-1%7D%20%5C%5C%0Aa_4%3Da_1%20%5Ctimes%20r%5E3%20%5C%5C%0A128%3D54%20%5Ctimes%20r%5E3%20%5C%5C%0A%5Cfrac%7B128%7D%7B54%7D%3Dr%5E3%20%5C%5C%20%5Cfrac%7B128%20%5Cdiv%202%7D%7B54%20%5Cdiv%202%7D%3Dr%5E3%20%5C%5C%0A%5Cfrac%7B64%7D%7B27%7D%3Dr%5E3%20%5C%5C%0A%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7B27%7D%7D%3D%5Csqrt%5B3%5D%7Br%5E3%7D%20%5C%5C%0A%5Cfrac%7B%5Csqrt%5B3%5D%7B64%7D%7D%7B%5Csqrt%5B3%5D%7B27%7D%7D%3Dr%20%5C%5C%0Ar%3D%5Cfrac%7B4%7D%7B3%7D)
Answer:
each bottle was $2.12 :P
Step-by-step explanation:
➼start by making an equation to find the price of the juice pack, in this case x would be the price of the juice pack because its unknown, the juice pack price(x) added to the price of the oranges(2.72) and equal the total(45.12), the before tax part is not needed info
2.72 + x = 45.12
➼now our aim to get x alone to find out its worth so we will have to do the opposite and subtract 2.72 from everything, since its positive
2.72-2.72=0 crosses out
45.12-2.72=42.4
➼which gets us x = 42.4 so one 20 pack is 42.40 dollars but we arent done yet, to find out the price of EACH bottle we must divide 42.4 by 20!
42.4/20=2.12
➼so to sum it up, each bottle is $2.12 :)
Add all the Braves score. Add all the Giant score. Then, you take the Giant's score and subtract it with the Braves score. :)
I'm not totally sure, but it might be y= x/7.
Answer: x < 7
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -8x by subtracting 40 from both sides.
That leaves you with -8x > -56.
To get <em>x</em> by itself, divide both sides by -8 but watch out.
If you divide both sides of an inequality by a negative,
you must switch the direction of the inequality sign.
So we have x < 7.
