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GenaCL600 [577]
3 years ago
11

A truck is 75% longer than the car. A bus is 30% longer than the truck. How long is the car is the bus is 40 feet long?

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
Truck is 30% less than bus
40 divided by 1.3 = 30.77
Car is 75% less than truck
30.77 divided by 1.75. = 17.58 feet
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I need help with #65 to #70 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP… it is
never [62]

All of the given questions(#65 to #70) are AP(s).

Formula to be used: a(n) = a(1) + (n - 1)d

Pronounced as:

nth term = 1st term + (n - 1)d, where d is the common difference.

*d = difference of any two consecutive terms.

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1st term = 2, d = 6 - 2 = 4

Therefore,

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66):

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68):

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69):

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Answer:

\large \boxed{2}

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}

Check:

\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}

It checks.

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X <u>></u> 7

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