A subject conference is scheduling 20-minute sessions and 25-minute sessions with 10 minutes between sessions. The sessions at the conference begin at 8 A.M. What is the next time at which all sessions will begin at the same time again?

Answers

Answer 1
Answer: 30=2*3*5 and 35=5*7, then the least common multiple is 2*3*5*7=210 minutes. This means that 7 20-minutes sessions with 10-minutes breaks and 6 25-minutes sessions with 10-minutes breaks will end together after 210 passed minutes and at 11:30 A.M. all sessions will begin at the same time.

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What is nearest tenth of 0.273

Answers

Answer:

0.3

To round 0.273 to the nearest tenth consider the hundredths’ value of 0.273, which is 7 and equal or more than 5. Therefore, the tenths value of 0.273 increases by 1 to 3.

0.273 rounded to the nearest tenth = 0.3

Let A-10, 1, 2, 3, 4, 5,6), let B = 10, 1, 2, 3, 4, 5,6, 7,8), and let R be the relation from A to B given by "the greatest common divisor of a and b is 2." [Note: "greatest common divisor" is sometimes called "highest common factor"] List the elements of R.

Answers

Answer:

R = {(10,2), (10,4), (10,6), (10,8), (2,10), (2,2), (2,4), (2,6), (2,4), (4,10), (4,2), (4,6), (6,10), (6,2), (6,4), (6,8)}

Step-by-step explanation:

A = (10, 1, 2, 3, 4, 5, 6)

B = (10, 1, 2, 3, 4, 5, 6, 7, 8)

R is a relation and defined as

R: A→B

R: The greatest common divisor of a and b is 2

To find the elements of R we need to find pair from A and B respectively.

R = {(10,2), (10,4), (10,6), (10,8), (2,10), (2,2), (2,4), (2,6), (2,4), (4,10), (4,2), (4,6), (6,10), (6,2), (6,4), (6,8)}

Now, these pairs were found by picking one element from A and checking with elements of B if they have a gcd of 2. If yes, they fall under the defined relation.

Work out what x =
Please and explication

Answers

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Suppose Tetha = alpha = 26°

Then ;

\tan( \alpha )  =  (y)/(x)  \n

\tan(26°)  =  (8)/(x)  \n

0.487 =  (8)/(x)  \n

Multiply sides by x

0.487x = 8

Divide sides by 0.487

x =  (8)/(0.487)  \n

x = 16.427

x≈ 16.43

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Calculate 25.13 -(4.6²-3x5)​

Answers

18.97 is the answer i believe

There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?

Answers

Answer:

3/8

Step-by-step explanation:

add 5+1+3=9

and there is 3 cheese pizza so its 3 over 8.

Answer:

3/9

Step-by-step explanation:

The dew point in degrees Fahrenheit can be calculated with the formula DP - T-(100 - RH), where DP is the dew point, T is the dry-bulb temperature, and RH is the relative humidity. Which of these is the equation solved forRH?

Answers

The equation for Relative Humidity RH is Option 3.

RH = 100 - 25/9 ( T - DP )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The dew point in degrees Fahrenheit is calculated by the equation ,

DP = T - 9/25 ( 100 - RH )

where ,

DP = Dew Point

T = Temperature of dry-bulb

RH = Relative Humidity

Now , to solve for Relative Humidity , the equation can be simplified as

DP = T - 9/25 ( 100 - RH )

So ,

Adding 9/25 ( 100 - RH ) on both sides , we get

DP + 9/25 ( 100 - RH ) = T

Subtracting DP on both sides , we get

9/25 ( 100 - RH ) = T - DP

Multiply by 25/9 on both sides , we get

( 100 - RH ) = 25/9 ( T - DP )

Adding RH on both sides , we get

100 = RH + 25/9 ( T - DP )

Now , subtracting 25/9 ( T - DP ) on both sides , we get

100 - 25/9 ( T - DP ) = RH

Therefore , RH = 100 - 25/9 ( T - DP )

Hence , the equation for Relative Humidity RH is given by

RH = 100 - 25/9 ( T - DP )

To learn more about equations click :

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Answer:D

Step-by-step explanation: