Answer:
c. 1,464,843
Step-by-step explanation:
The sum of n terms of a geometric sequence with first term a1 and common ratio r is given by ...
sn = a1(r^n -1)/(r -1)
Filling in the values a1=3, r=5, n=9, we get ...
s9 = 3(5^9 -1)/(5 -1) = 1,464,843
Switch\:sides
-9s<-72
\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}
\left(-9s\right)\left(-1\right)>\left(-72\right)\left(-1\right)
\mathrm{Simplify}
9s>72
\mathrm{Divide\:both\:sides\:by\:}9
\frac{9s}{9}>\frac{72}{9}
Simplify
s > 8
96 divided by 4.80 = 20.
128 divided by 20 = 6.40
The 128 ounce container should be sold at 6.40
Answer:
D) 27
Step-by-step explanation:
It's a rectangle so the opposite sides are congruent to each other.
<em />
<em>Long Side:</em>
6x + 6 = 42
subtract 6 from both sides:
6x = 36
divide both sides by 6:
x = 6
<em />
<em>Short Side:</em>
5y + 5 = 30
subtract 5 from both sides:
5y = 25
divide both sides by 5:
y = 5
<em />
<em>The Equation:</em>
2x + 3y
substitute in the values:
2(6) + 3(5)
do the multiplication:
12 + 15
add the values together:
27
Well, there are 8oz in a cup, so in 7/8 of a cup there are 7/8 * 8 ounces or 7oz then.
now, a gallon has 128oz total, so 2/8 of a gallon will then be (2/8) * 128, or 32oz.
so, fairly sure you can tell who has greater capacity.
