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3 years ago

Is the expression 9 divided by 4 the same as 1/9 x 1/4

Mathematics

1 answer:

Alborosie3 years ago

4 0

Answer: They are not the same.

Step-by-step explanation:

9 divided by 4 = 2.25 = 2 1/4

1/9 * 1/4 = 1/36

1/36 = 0.027...

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Find the equation of the sphere passing through P(negative 4 comma 7 comma 6 )and Q(8 comma negative 3 comma 5 )with its center

Juli2301 [7.4K]

Answer: The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

Step-by-step explanation:

The centre of the sphere is the midpoint of the diameter, which is

1/2

[(-4,7,6) + (8,-3,5)] =(2,2,5/2)

The length of the diameter is

=sqrt |(8,-3,5) - (-4,7,6)|^2

=sqrt (12^2 + (-10)^2 + (-1)^2)

=sqrt (144+100+1)

=sqrt(245)

so the radius of

the sphere is:

1/2(sqrt(245)) = sqrt(245)/2.

The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

4 0

3 years ago

A rectangular auditorium seats 1344 people. The number of seats in each rows exceeds the number of rows by 20. Find the number o

Tasya [4]

Let the number of rows be x

rows = x
seats in each row = x + 20

total seats = 1344
x (x + 20) = 1344
x^2 + 20x - 1344 = 0
(x + 48)(x - 28) = 0
x = -48 (rejected, answer cannot be negative) or x = 28

Therefore,
x = 28
x + 20 = 48

Check:
Row = 28
Numbers of seat per row = 28 + 20 = 48
28 x 48 = 1344 (Correct)

Ans:There are 48 seats per row

8 0

3 years ago

4y-7x=16 solve for y

kompoz [17]

I think the answer would be x= 4/7 y = +-16/7

4 0

3 years ago

Read 2 more answers

Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble, records the result, and returns the marb

dexar [7]

Answer:

The probability that next selection is yellow marble = 63% .

Step-by-step explanation:

Given the selection of yellow marbles = 41 times.

The selection of white marble = 24 times.

Total number of selections made = 65

Now calculate the probability that the next selection will be the yellow marble. Therefore, the probability of getting yellow marble can be determined by dividing the yellow selection by total number of selections.

$\text{P(yellow)} = \frac{ \text{The selection of yellow marbles} }{ \text{ Total number of slections }} \\\text{P(yellow)} = \frac{41}{65} = 0.63 \ or \ 63 \ percent$

7 0

2 years ago

What's the value of x<br> 4x+10=-26

Mnenie [13.5K]

4x+10=-26
Subtract 10 to both sides:
4x=-36
Divide 4 to both sides:
x=-9

6 0

2 years ago

Read 2 more answers