The minute hand of a clock is 5 inches long how far does it move in 35 minutes

A 240 mm candle is burning and shrinks in height 5mm per second

Gennadij [26K]

Answer:

240 - 5x and the candle will be at 0 mm in 48 seconds

Step-by-step explanation:

Step 1: Convert words into an expression

A 240 mm candle is burning and shrinks in height 5mm per second

240 - 5x

Step 2: If needed solve for x

240 - 5x - 240 = 0 - 240

-5x / -5 = -240 / -5

x = 48

Answer: 240 - 5x and the candle will be at 0 mm in 48 seconds

Graph Below: (0, 240) shows the initial start and (48, 0) shows the ending point

4 0

3 years ago

33÷1862 plz help last day

Lady_Fox [76]

I want to say 56.4 or 56.42

3 0

4 years ago

Read 2 more answers

How do I know what goes on the top number line and on the bottom number line?

NNADVOKAT [17]

Answer:hmm I don’t fully understand what you mean because there is no bottom of the number line it started at zero so all you have to do is fill the line in.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

An auditorium with 52 rows is laid out where 6 seats comprise the first row, 9 seats comprise the second row, 12 seats comprise

ivanzaharov [21]

The number of seats per row generate an arithmetic sequence. Let $a_n$ denote the number of seats in the $n$ -th row. We're told that the number of seats increases by 3 per row, so we can describe the number of seats in a given row recursively by

$\begin{cases}a_1=6\\a_n=a_{n-1}+3&\text{for }2\le n\le52\end{cases}$

The total number of seats is given by the summation

$\displaystyle\sum_{n=1}^{52}a_n$

Because $a_n$ is arithmetic, we can easily find an explicit rule for the sequence.

$a_n=a_{n-1}+3$
$a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3$
$a_n=(a_{n-3}+3)+2\cdot3=a_{n-3}+3\cdot3$
$\cdots$
$a_n=a_1+(n-1)\cdot3$

So the number of seats in the $n$ -th row is exactly

$a_n=6+(n-1)\cdot3=3+3n$

This means the total number of seats is

$\displaystyle\sum_{n=1}^{52}a_n=\sum_{n=1}^{52}(3+3n)=3\left(\sum_{n=1}^{52}1+\sum_{n=1}^{52}n\right)$

You should be familiar with the remaining sums. We end up with

$\displaystyle\sum_{n=1}^{52}a_n=3\left(52+\dfrac{52\cdot53}2\right)=4290$

3 0

3 years ago

A town has a population of 4000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will

Romashka [77]

18.273 years will take to reach the population of 7500, if a town has a population of 4000 and grows at 3.5% every year.

Step-by-step explanation:

The given is,

Population of 4000

Rate of grow 3.5% every year

Population after few years 7500

Step:1

Formula to calculate the population with the grow rate every year,