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1 month ago

What is 3.242424 as a mixed number

Mathematics

2 answers:

Zina [12.3K]1 month ago

6 0

Response:

Detailed explanation:

The final result is 3 /8/33.

step by step breakdown

Initially, we write:

¯¯¯¯

After that, we will multiply each side by

100

leading to:

100

324

¯¯¯¯

Subsequently, we will subtract the first equation from the second equation:

100

−

324

¯¯¯¯

−

¯¯¯¯

We can then solve for

in the following manner:

100

−

(

324

¯¯¯¯

)

−

(

¯¯¯¯

)

(

100

−

)

324

¯¯¯¯

−

¯¯¯¯

(

324

−

)

(

¯¯¯¯

−

¯¯¯¯

)

321

107

Next, we convert this improper fraction to a mixed numeral:

107

¯¯¯¯

Leona [12.6K]1 month ago

5 0

Response:

3 8/33

Detailed explanation:

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Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of

PIT_PIT [12445]

Answer: The correct choice is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: We have eight identical slips of paper, each numbered from one to eight, which have been mixed inside a bag.

The sample space, S is as follows:

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A consists of the complement of the event where the number 6 is drawn.

Let 'B' denote the event of drawing the number 6.

Thus, B = {6}.

Since 'A' represents the complement of 'B', it will include all elements in the sample space 'S' that are not part of set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

So, A = {1, 2, 3, 4, 5, 7, 8}.

Consequently, (C) is the correct choice.

7 0

1 month ago

Read 2 more answers

A rectangular schoolyard is to be fenced in using the wall of the school for one side and 150

lawyer [12517]

Answer:

Part 1) The equation is $A(x)=150x-2x^2$

Part 2) When x=40 m, the area of the schoolyard is A=2,800 m^2

Part 3) The valid domain consists of all real numbers exceeding zero and below 75 meters

Step-by-step explanation:

Part 1) Formulate an expression for A(x)

Let

x -----> the length of the rectangular school yard

y ---> the width of the rectangular school yard

It is known that

The perimeter for the fencing (taking the school wall as one side) is

$P=2x+y$

$P=150\ m$

thus

$150=2x+y$

$y=150-2x$ -----> this is equation A

The area of the rectangular school yard is

$A=xy$ ----> this is equation B

Substituting equation A into equation B yields

$A=x(150-2x)$

$A=150x-2x^2$

Change to function notation

$A(x)=150x-2x^2$

Part 2) What is the area when x=40?

With x equal to 40 m

substitute the value into the expression from Part 1 to determine A

$A(40)=150(40)-2(40^2)$

$A(40)=2,800\ m^2$

Part 3) What would be a suitable domain for A(x) in this scenario?

We understand that

A signifies the area of the rectangular school yard

x characterizes the length of the rectangular school yard

It follows that

$A(x)=150x-2x^2$

This forms a vertical parabola opening downwards

The vertex indicates a maximum point

The x-coordinate of the vertex corresponds to the length that maximizes the area

The y-coordinate of the vertex denotes the maximum area

The vertex corresponds to (37.5, 2812.5)

Refer to the accompanying figure

Consequently,

The peak area achieved is 2,812.5 m^2

The x-intercepts are located at x=0 m and x=75 m

The domain for A is the range -----> (0, 75)

All real numbers greater than zero and less than 75 meters

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1 month ago

Imagine that after washing 5 distinct pairs of socks, you discover that two socks are missing! of course, you would like to have

Zina [12379]

Part A:

Considering the best possible outcome

The ideal case occurs if the two missing socks are from the same pair.
Consequently, there are 4 complete pairs remaining.

To choose 2 from the total of 10 socks (5 pairs), the number of combinations is given by 10C2 = 45.

Choosing 2 that are from the same pair means selecting one from 5 pairs, so the count is 5C1 = 5.

Thus, the probability for this best case is 5 / 45 = 1 / 9.

Part B:

Considering the worst-case outcome

This scenario occurs when the two missing socks are from different pairs.
As a result, we have 3 complete pairs left.

The total ways to select 2 socks from 10, again, is 10C2 = 45.

To select 2 that do not belong to the same pair, we calculate as follows: 10C2 - 5C1 = 45 - 5 = 40.

Therefore, the probability for the worst-case scenario is 40 / 45 = 8 / 9.

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1 month ago

After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia. What was the ratio of the amount of milk Mia

tester [12383]

Answer:

4:5

Step-by-step explanation:

Start with the equation:

2(3/4m)=D+1/4m

Then, simplify to solve:

5/4m=D

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