MATHEMATICS HIGH SCHOOL

What is the common ratio of the following sequence?
80, 20, 5,

Answers

Answer 1
Answer:

The value of the common ratio of the sequence is,

⇒ 1 / 4

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The sequence is,

⇒ 80, 20, 5,...

Now, We can find as;

The value of the common ratio of the sequence is,

⇒ 20 / 80

⇒ 1 / 4

Thus, The value of the common ratio of the sequence is,

⇒ 1 / 4

Learn more about the geometric sequence visit:

brainly.com/question/25461416

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Answer 2
Answer: 5 times 4 = 20, 20 times 4 = 80.  The ratio is declining by one fourth 1/4

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A car leaves a town traveling at 60 miles per hour. Two hours later, a second car leaves the town traveling the same route and overtakes the first car in 6 hours and 40 minutes. How fast was the second car traveling?

Answers


After two hours, the first car has traveled (2 x 60) = 120 miles.
That's the gap that the second car has to close.

The second car closes the gap of 120 miles in 6-2/3 hours.
He must have exceeded the first car's speed by (120/6-2/3) mph.

6-2/3 = 20/3

120 divided by 20/3  =  120 x 3/20 = 360/20  =  18 mph

The second car exceeded the first car's speed by 18 mph,
so he had to be traveling (60 + 18) = 78 mph to catch up.

Check:

In 6-2/3 hours . . .

The first car covers  (60 x 20/3) = 400 miles.

The second car covers  (78 x 20/3) = 520 miles.
This is the same distance as the first car PLUS the 120
that he was behind when he started out.
                                                                     yay !
78 mph
The second car travels 520 miles in 400 minutes. 520/400=1.3. 1.3*60=78.

The area of a square is 1 square foot. What is the length of each side of the square?a. 1 ft.
b. 2 ft.
c. 3 ft.
d. 4 ft.

Answers

3 because there are four sides so 3+3+3+3=12

The population of the US at the first census in 1790 was 3,929 people. By 2000 the population had increased to 284,000,000! What is the percent increase in the population?

Answers

Answer:

7,228,202%

Step-by-step explanation:

Population at first census in 1979 was 3929

If the Population had increased to 284,000,000 by 2000, the population increase will be;

284,000,000-3929

= 283,996,071

%increase in population = increment/initial population×100%

= 283,996,071/3929×100%

= 7,228,202%

This means that the population has increased by 7,228,202%

Write 2/3 and 3/4 as a pair of fractions with a common denominator

Answers

in short simply we "multiply one fraction's top and bottom by the other's denominator", so let's do so,

\bf \cfrac{2\cdot 4}{3\cdot 4}\implies \boxed{\cfrac{8}{12}}\qquad \qquad \qquad \qquad \qquad \cfrac{3\cdot 3}{4\cdot 3}\implies \boxed{\cfrac{9}{12}}

Allison practices her violin for at least 12 hours per week she practices for three fourths of an hour each session if Allison has already practiced 3 hours this week how many more sessions remains for her to meet or exceed her weekly practice goals.

Answers

at least 12 more sessions 

An arc of a circle measures 80 degrees and the length of 88pie cm. what is the diameter?

Answers

If             80°  ------> 88π cm
Then      360°  ------>  x cm

So:

x = (88π x 360) ÷ 80
x = 396 π   (lenght of the circle)

The relationship of Lenght of circle and its diameter is:

L = d .π 

replacing L:
396 π = d.π  ----> d = 396 cm  <---- here is your answer




  
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