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ki77a [65]
3 years ago
5

A plumber had two pipes. The ratio of the length of the longer pipe to the shorter pipe was 9:2. When he cut 1.65m from the long

er pipe, the remaining length was 3 times that of the shorter pipe. Find the length of the shorter pipe in metres.
Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0

Answer:

1.1m

Step-by-step explanation:

Let L denote longer pipe and S denote shorter part

given:

L:S = 9:2

or L/S = 9/2

2L = 9S

S = (2/9)L-----(eq 1)

Also given:

L - 1.65 = 3S

L - 3S = 1.65 ----- (eq 2)

By substitution, sub eq 1 into eq 2

L - 3(2/9)L = 1.65

L - (2/3)L = 1.65

L [ 1 - (2/3) ] = 1.65

L/3 = 1.65

L = 1.65 (3) = 4.95  (substitute into equation 1)

S = (2/9)(4.95) = 1.1m

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Answer:

The main reason it was important to study this group was:

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Step-by-step explanation:

But Dr. John Snow was able to convince many councillors who ensured that the pump handle was removed from the Broad Street pump.  Within a few days of this removal, the cholera epidemic ended.  This step proved that Dr. Snow was right from the beginning.  The pump handle was the means that the cholera epidemic was being spread from one person to another within Broad Street area, since many usually fetch water from the pump.

4 0
2 years ago
Jay made a pizza he gave 1/4 of it to his mother 1/4 his father and one eight to his sister how much of the pizza is left
vesna_86 [32]
There is 3/8 of the pizza.
4 0
3 years ago
what is the area of a circle with a diameter of 4.2 centimeters? us 3.14 for pi. round your answer to the nearest tenth.
emmainna [20.7K]
Circle Area = PI * radius^2
radius = 2.1
Circle Area = 3.14 * 2.1^2
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5 0
3 years ago
A high school guidance counselor determined the following information regarding students and their likelihood of playing a sport
iogann1982 [59]

Conditional Probability

Given two events A and B (not excluding), the probability that A occurs given that B has occurred is called a <em>conditional probability</em> and is calculated as:

P(A|B)=\frac{P(A\cap B)}{P(B)}

Where P(A∩B) is the probability that A and B occur simultaneously and P(B) is the probability that B occurs.

Now with the given data, we must find the values of the required probabilities.

30% of the students play a sport (S), this means that:

70% of the students don't play a sport (NS).

65% of the students have a job.

Note that there could be students who both play sports and have a job.

Of the 30% of the students who play a sport, 50% have a job. This means that:

15% of the students play a sport and don't have a job

15% of the students play a sport AND have a job

65% - 15% = 50% of the students have a job and don't play a sport

That last number is the numerator of the equation given above:

P(A∩B) = 0.5

The event B corresponds to students that don't play a sport (NS), thus:

P(B) = 0.7

Thus we have:

P(A|B)=\frac{0.5}{0.7}=\frac{5}{7}

The required probability is 5/7 or 0.7143

4 0
1 year ago
Graph the function. f(x)=2x^2-5<br> please help ill give you brainliest
snow_lady [41]

f(x)=2x^2+0x-5

Find the vertex

0/4=0=x

Input x into the equation to find y or f(x)

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Now find a random x coordinate to input into the equation.

Let's do 4.

32+0-5=f(x)=27

It may not look like a parabola due to it being uneven.

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3 years ago
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