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3 years ago

John drove 660 miles in 12 hours. At the same rate, how many miles would he drive in 5 hours?

Mathematics

1 answer:

BARSIC [14]3 years ago

8 0

Divide 660 by 12 which would give you 55. Now you Multiply 55 by 5 which would give you your answer, 275 miles.

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The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago

Box plot i dont understand any thing about it

Inga [223]

Answer:

Just put the numbers in order then the interquartile range would be the largest number from the high quartile and the lowest number from the lower quartile.

5 0

3 years ago

You and two friends rent a hotel room that costs $30 so you both put in $10 each later that night the owner of the hotel realize

Gennadij [26K]

The dollar didn't go anywhere! The question isn't correct because the money the bellhop stole is supposed to be subtracted, not added. So if we subtract $2 we have $25, and that's how much money the owner got, the men got $3 back and the bellboy got $2.

So the owner gets $25, the men get $3 and the bellboy gets $2, and that equals 30.

4 0

2 years ago

Read 2 more answers

the perimeter of a rectangle is 160ft. One fourth the length is the same as twice the width. Find the dimensions of the rectangl

Hitman42 [59]

Answer:

w = 80/9 ft.

L = 640/9 ft.

Step-by-step explanation:

L = length w = width

2w = L/4 so 8w = L

160 = 2L + 2w

160 = 2(8w) + 2w

160 = 16w+2w

160 = 18w

80/9 = w

5 0

2 years ago

Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes

Alenkasestr [34]

Answer:

1. members = $ 160 , non members = $ 80

2. members = $ 168 , non members = $ 120

Step-by-step explanation:

For members

Annual membership = $ 144

rent per visit charges = $ 4

For Non members

parking charges = $ 5

admission charges = $ 11

rent per visit = $ 4

(1) for 4 visits

Members pay = $ 144 + 4 x $ 4 = $ 160

Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80

So, non member ship is better.

(2) for 6 visits

Members pay = $ 144 + 6 x $ 4 = $ 168

Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120

So, non member ship is better.

6 0

2 years ago