4. The sum of the reciprocals of two consecutive even integers is 11/60.Find the integers.

If Kamila can do a job in 26 hours and Simon and Kamila working together can do the same job in 9 hours , find how long it takes

Kay [80]

Answer:

Simon takes approximately 13.76 hours to complete the job alone.

Step-by-step explanation:

We are given the following in the question:

Kamila can do a job in 26 hours

So, part of work done by Kamila in 1 hour =

$\dfrac{1}{26}$

Simon and Kamila working together can do the same job in 9 hours .

So, (Simon and Kamila)'s 1 hour work =

$\dfrac{1}{9}$

So, Simon's 1 hour work =

$\dfrac{1}{9}-\dfrac{1}{26}=\dfrac{17}{234}$

So,

Simon can do $\frac{17}{234}$ part of work in hour = 1

Time taken by Simon to complete the job alone =

$\dfrac{1}{\frac{17}{234}}=\dfrac{234}{17}\approx 13.76 \text{ hours}$

Thus, Simon takes approximately 13.76 hours to complete the job alone.

3 0

3 years ago

Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet

Tpy6a [65]

This question is not correctly written.

Correct Question

Juan wants to know the cross- sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimeter, to be 5 centimeters. To find the area of the circle, Juan uses the formula A=〖πr〗^2 where A is the area of the circle and r is its radius. He uses 3.14 for π.

a) What value does Juan get for the area of the circle? Make sure you include your units.

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

Answer:

a)The Area of the circle is 1962.5 millimeters ²

b) The radius of the circle is

5inches( in)

Step-by-step explanation:

a) The formula for the Area of a circle = πr²

The diameter of the circle was measured by Juan to the nearest millimeters = 5 centimeters

The first step is to convert 5cm to millimeters

1 centimetre = 10 millimeters

5 centimetres =

Cross multiply

= 5 × 10 millimeters

Therefore, 5 centimetres = 50 millimeters.

Since the Diameter of the circle = 50 millimeters,

Radius is calculated as Diameter ÷ 2

Therefore , the radius of the circle = 50 millimeters ÷ 2

= 25 millimeters.

The second step is to find the Area of the circle.

Area of the circle = πr²

Juan used 3.14 for π

Therefore , Area of the circle is calculated as:

= 3.14 ×(25millimeters)²

= 3.14 × 625 millimeters²

= 1962.5 millimeter ²

The Area of the circle is 1962.5 millimeters²

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

The formula to calculate the Area of a Circle is given as:

A( Area of a circle) = πr²

Since we are asked to find the radius of the circle in Part B, we can derive the formula to find the radius of a circle

A = πr²

r² = A ÷ π

r = √A÷ π

Therefore , the formula to find the Radius of a circle is given as :

r = √A ÷ π

Already given in the question are the following values :

Area of the circle = 78.5inches²

π = Michelle used 3.14

The radius of the circle

= r = √A ÷ π

r = √78.5 in² ÷ 3.14

r = √ 25

r = 5inches( in)

Therefore the radius of the circle is

5inches(in).

5 0

3 years ago

Calculate the velocity of a baseball that travels 100 m in 5 sec.

r-ruslan [8.4K]

The velocity of the baseball is 20m/s

Velocity can be described as the speed of an object that is moving in a particular direction

The formula for calculating velocity is

velocity= displacement/time

The first step is to write out the parameters given in the question.

time= 5 seconds

displacement= 100m

The velocity can be calculated as follows;

velocity/displacement

= 100/5

= 20

Hence the velocity of the ball is 20m/s

Please see the link below for more information on velocity

brainly.com/question/19818214?referrer=searchResults

3 0

2 years ago

Solve the proportional equation 3/r = 5/r+3

romanna [79]

Answer:

r=9/2 or 4.5

Step-by-step explanation:

First of all our goal is to get R by itself

by cross multiplying we get,

(r+3)*3=5r

by distributive property we get

3r+9=5r

substracting 3r from both sides we get

9=2r

by dividing by 2 in both sides we get

r=9/2 or 4.5

6 0

2 years ago

Guys Please help me with this question urgent!!

Viefleur [7K]

Answer:

9

Step-by-step explanation:

1.)Find the amount of women within the 120 people in the meeting. So 3/10*120 , you get 36.

2.)Add 24 to 120 to get the new amount of people in the room. So 144.

3.)Using the new ratio 11:5 , find the amount of total women out of 144 people . So 5/16*144 , you get 45.

4.)Now minus the 2 amounts of initial women from the amount of total new women , to get the difference to find out how many women are there in the 24 people. So 45-36 , you get 9

6 0

3 years ago