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olga55 [171]
3 years ago
7

Find the common ratio, r, in the following geometric sequence. 27, 9, 3, 1,…

Mathematics
2 answers:
Rom4ik [11]3 years ago
7 0
The common ratio is 1/3
27/3 = 9
9/3 =3
3/3=1
Shtirlitz [24]3 years ago
3 0
To find the common ratio 
divide by the previous numb/number beside it:
 \frac{9}{27}=\frac{1}{3},\:\quad \frac{3}{9}=\frac{1}{3},\:\quad \frac{1}{3}=\frac{1}{3}


so r=\frac{1}{3}

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Please help out thanks :) ​
Mkey [24]
The correct answer is D The last one


Step by step is below

Hopefully this help you


Have a great day :)

3 0
4 years ago
a paint mixture contains 32 gallons of base for every gallon of color. In 924 gallons of paint, how many gallons of color are th
expeople1 [14]
<span>base and color are in a ratio of 32:1, where color is "x"
924-x/x=32/1
924-x=32x</span><span>33x=924

x = 28 (gallons of color)</span>
8 0
4 years ago
Find the first term of a sequence x+1,2x-18,2x-1,if this sequence is an arithmetic progression​
PIT_PIT [208]

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

6 0
3 years ago
Ms. Bezel, the jewelry designer, ordered 500 grams of silver, 800 grams of brass, and 700 grams of copper. How many kilograms of
jeka94

Answer:

2 kilograms

Step-by-step explanation:

500 + 800 + 700 is 2000g

There are 1000 grams in a kilogram

so the answer is 2 kilograms

4 0
3 years ago
The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of 45 mph. At what rate
Zinaida [17]
<span>The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of 45 mph. At what rate must she return if the total travel time is three hours and forty minutes?

1st leg DATA:
distance = 90 mi ; rate = 45 mph ; time = d/r = 2 hrs.
</span><span>2nd leg DATA:
distance = 90 mi ; time = [3 2/3 - 2] = 1 2/3 hrs; rate = 90/(5/3) = 54 mph
Ans: 54 mph</span>
5 0
3 years ago
Read 2 more answers
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