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3 years ago

WILL MARK BRAINLIEST In this geometric sequence, what is the common ratio? 104, -52, 26, -13, ...

Mathematics

1 answer:

Lilit [14]3 years ago

8 0

Answer:

r = - $\frac{1}{2}$

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = $\frac{a_{2} }{a_{1} }$ = $\frac{a_{3} }{a_{2} }$ = .....

Hence

r = $\frac{-52}{104}$ = $\frac{26}{-52}$ = - $\frac{1}{2}$

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To travel 80 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen to travel 60 miles riding a bicycle. Su

andriy [413]

Answer:

Time taken by Doreen is 6 hours and speed is 10 miles per hour.

Time taken by Sue is 4 hours and speed is 20 miles per hour.

Step-by-step explanation:

Let the speed of Doreen be x

According to the question speed of Sue is = x+10

time taken By Sue to cover 80 miles = $\frac{80}{x+10}$

time taken by Doreen to travel 60 miles = $\frac{60}{x}$

According to question Sue take two hours less than Doreen takes

therefore

$\frac{60}{x}$ - $\frac{80}{x+10}$ =2

$\frac{60(x+10)-80x}{x(x+10)}$ =2

60(x+10) -80x = 2(x(x+10)

60x+600-80x = $2x^2+20x\\$

simplifying it ,we get

$2x^2+40x-600=0\\$

Dividing both sides by 2 ,we get

$x^2+20x-300=0\\$

solving it for x ,we get

(x+30)(x-10) =0

x =-30 which is not possible

x =10 miles per hour

Speed of Doreen = 10 miles per hour

Speed of Sue = 10+10 = 20 miles per hour

Time taken by Doreen = 60 divided by 10 = 6 hours

Time taken by Sue = 80 divided by 20 = 4 hours

5 0

3 years ago

The equation p = 1.95t^2 + 12.25t + 125 approximates the average sale price p of a house (in thousands of dollars) for years t s

kumpel [21]

Answer:

$496, 000

Step-by-step explanation:

2021 is 11 years since 2010, hence t = 11

Substitute t = 11 into the equation

p = (1.95 × 11²) + (12.25 × 11) + 125

= 235.95 + 134.75 + 125

= 495.7 ( thousands of dollars ), thus the best estimate is

p = $ 496, 000

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3 years ago

it cost $5 for a snow cone. which function rule correctly relates the number of snow cones purchase , s,to the cost, c

Shtirlitz [24]

Each cones is $5 so to get the total cost, you would multiple $5 by the number of cones sold so that would be c = 5s

Final answer: c = 5s

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emmainna [20.7K]

Answer:B

Step-by-step explanation:

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3 years ago

Caroline Oakes 12 jars of jam in a box. She has 40 boxes.she has 542 jars of jam. How many jars of jam will she have left when a

SVETLANKA909090 [29]

The answer should be 60

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3 years ago

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