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3 years ago

13

It took the carriage 2.5 hours to travel 20 miles. H ow long will it take for the carriage to travel in 12 miles

1 answer:

Tomtit [17]3 years ago

6 0

$\bf \begin{array}{ccll}
hours&miles\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2.5&20\\
h&12
\end{array}\implies \cfrac{2.5}{h}=\cfrac{20}{12}\implies \cfrac{2.5\cdot 12}{20}=h$

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I don’t quite understand this problem could someone help me please

ale4655 [162]

Answer:

$\frac{7\sqrt{65}}{65}$

Step-by-step explanation:

Cosine is the ratio of the side adjacent to the angle and the right triangle hypotenuse.

$cos$ B = $\frac{7}{\sqrt{65}}$ = $\frac{7\sqrt{65}}{65}$

3 0

2 years ago

A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total,

Leni [432]

Answer:

96 ways

Step-by-step explanation:

Given

$Day = 86400\ seconds$

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

$86400/2 = 43200$

$43200/2=21600$

$21600/2=10800$

$10800/2=5400$

$5400/2= 2700$

$2700/2 = 1350$

$1350/2=675$

$675/3=225$

$225/3=75$

$75/3=25$

$25/5=5$

$5/5 = 1$

This implies that:

$86400 = 2^7 * 3^3 * 5^2$

The number of factors d is the solved by:

$d = (a+1)*(b+1) *(c+1)$

Where

$n = 2^a * 3^b * 5^c$

By comparison:

$a = 7$

$b = 3$

$c=2$

So:

$d = (7+1)*(3+1) *(2+1)$

$d = 8*4 *3$

$d = 96$

<em>Hence, there are 96 total ways</em>

7 0

3 years ago

Please help! Thank you! xx

Marianna [84]

Hi!! if you dont want to use points google graph calculator. There is a good website called Graphing calculator-symbolab Its really helpful. Good Luck!!
Go for d!!

4 0

2 years ago

Molly was allowed to trick or treat from 6:30 pm to 8:45pm if she averaged coating 2 houses every 9 minutes during that time how

MissTica

Answer:

30 houses

Step-by-step explanation:

Time from 6:30 pm to 8:45 pm = 2 hr 15 min

Time in minutes = (2 hr × 60 min/hr) + 15 min = 135 min

Average visit = 9 min per 2 houses = 4.5 min per house

Number of visits = 135 min ÷ 4.5 min/house = 30 houses

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2 years ago

what are some key words, other than less and greater, that would indicate you need to use an inequality?

Paladinen [302]

Equal to is under is fewer has maximum value is over is at most

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3 years ago