An open rectangular tank is made so as to contain 4.5 metres cube of liquid. The length must be twice the breadth and the amount of material used to make the tank must be minimum. Find the dimensions of the tank.

The ocean where Alex was surfing will be 12 feet deep.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Alex was surfing he rose 36 feet above the water as he rode a wave. within seconds he fell 48 feet where he hit the ocean floor.

The position of Alex will be:-

Deepness = 336 - 48

Deepness = -12 feet

| Deepness | = |-12| feet = 12 feet

Therefore, the ocean, where Alex was surfing, will be 12 feet deep.

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The expressions given above are solved.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given are the expressions as given in the question.

{ 1 } -

7 2/3 + 2 7/12

23/3 + 31/12

92/12 + 31/12

123/12

{ 2 } -

3/8 x 5/6

15/48

5/16

{ 3 } -

4 1/2 x 1 2/3

9/2 x 5/3

3/2 x 5

15/2

{ 4 } -

20 ÷ 3 1/2

20 ÷ 7/2

20 × 2/7

40/7

{ 5 } -

13 5/9 - 8 1/6

122/9 - 49/6

244/18 - 147/18

97/18

Similarly the remaining parts can be solved.

Therefore, the expressions given above are solved.

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Jones Middle School will have more students than Roberts Middle School after 9 months.

To find out after how many months Jones Middle School will have more students than Roberts Middle School, we need to determine the point at which the number of students at Jones Middle School exceeds the number of students at Roberts Middle School. Let's calculate the number of months it takes for this to happen:

Number of students at Jones Middle School = 850 + 5n (n represents the number of months)

Number of students at Roberts Middle School = 985 - 10n (n represents the number of months)

We need to find the value of n when the number of students at Jones Middle School is greater than the number of students at Roberts Middle School:

850 + 5n > 985 - 10n

Simplifying the inequality:

15n > 135

n > 9

Therefore, after 9 months, Jones Middle School will have more students than Roberts Middle School.

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Multiplying 7 by 43 gives an exact result of 301. Thus, estimating this product as 280 isn't entirely accurate but might be seen as a reasonable approximation in certain contexts.

The statement 'multiplying 7 by 43, a reasonable estimate of the product is 280' is known as the question. For this multiplication equation, 7 x 43, the accurate result is 301. Therefore, estimating the product as 280 is not fully correct, however it is relatively close and might be considered a reasonable approximation depending on the context. For a stronger approximation, the product could be rounded up to 300.

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The decimal that needs to be added to 0.0545454 to get 0.1545454 is 0.1. This was determined by subtracting 0.0545454 from 0.1545454.

The student asked: What decimal can be added to 0.0545454 to get 0.1545454? The solution requires simple subtraction. You need to subtract the given number (0.0545454) from the result you want to achieve (0.1545454). So the calculation is as follows:

0.1545454 - 0.0545454 = 0.1000000

Therefore, the decimal that needs to be added to 0.0545454 to result in 0.1545454 is 0.1.

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The expression equivalent to -8+7.25-6+0.5 is calculated by first adding the positive numbers to get 7.75, then adding the negative numbers to get -14, and finally combining these to get an equivalent expression of -6.25.

To find an expression equivalent to -8+7.25-6+0.5, you need to perform addition and subtraction operations in the order they appear because they have the same level of precedence. Adding positive and negative numbers together is simplified by combining like terms, often starting with the positive numbers for easier calculation.

First, add the positive numbers together: 7.25 + 0.5 equals 7.75. Next, add the negative numbers: -8 + (-6) equals -14. Finally, combine the sum of the positive numbers with the sum of the negative numbers: 7.75 + (-14) equals -6.25.

The equivalent expression is hence -6.25.

Answer:

Step-by-step explanation:

To find the 35% of 63, we first should transform the percentage in a fraction, and then operate.

SO, we know that

[tex]35\%=\frac{35}{100}[/tex]

Multiplying this with 63, we have:

[tex]n=\frac{35}{100}63=0.35(63)=22.05[/tex]

Therefore the right answer is the second choice.