Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
• 
= a₁ 
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁
= 24 → (1)
Given a₈ = 
, then
a₁
= → (2)
Divide (2) by (1)
= 
= 
Hence r = ![\sqrt[4]{\frac{1}{81} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B1%7D%7B81%7D%20%7D)
= 
Substitute this value into (1)
a₁ × ( )³ = 24
a₁ × 
= 24, hence
a₁ = 24 × 27 = 648
8. 1 5
4/33.00
32
10
8
20
20
0
8.15+8=10.15
The answer is 10.15 inches long for each frame.
In order to find the unit rate
in ft / sec of 300 yards / min.
We first have to elicit the conversion
values for each unit of measurement, this will allows us identify how much will
we multiply in order to get the goaled value.
Conversion values:
<span><span>1.
</span>1 yard = 3
feet</span>
<span><span>2.
</span>1 minute =
60 seconds</span>
Solution:
<span><span>
1.
</span>300 yards x
3 feet/1 yard = 900 feet</span>
<span><span>2.
</span>1 minute x
60 seconds / 1 minute = 60 seconds</span>
Thus, 900ft/60sec
Let us say the original price of taco before tip was x dollars.
Percentage of tip given =25 %
Amount of tip given = $2
Now we can say that 25 % of total amount = 2 dollars.
Making an equation,
Now we have to solve for x, so dividing both sides by 0.25,
x= 8
Answer : The original price of tacos before tip was $8.
