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maw [93]
3 years ago
13

It takes you 3/8 of an hour to walk 9/10 of a mile. How far can you walk in 2 hours?

Mathematics
2 answers:
artcher [175]3 years ago
4 0
2.4 is the answer ooof
Valentin [98]3 years ago
3 0
Make a proportion:
(9/10)/(3/8) = x/2
solve for x:
x = 2*(9/10)/(3/8) = 24/5 miles
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What is the answer to 240in.= ft.?
zhenek [66]
12in.=1ft
so 240in./12in. = 20ft
6 0
3 years ago
FIND: Good old y-intercept!
Nataly_w [17]

Answer: easy, to find the y- intercept you have to take a set of points and put it into slope form

Step-by-step explanation:


4 0
3 years ago
The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0
3 years ago
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nexus9112 [7]
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8 0
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elena55 [62]

The answer is y =-1/2x + 3

4 0
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