The average height of 8 adults is 1.8 m. What is the sum of their height?

The value of the variable t is greater than or equal to 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Fifteen is no more than a number t divided by 5 will be given in the mathematical form. Then the inequality is given as,

15 ≤ 5t

t ≥ 15 / 5

t ≥ 3

The value of the variable t is greater than or equal to 3.

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One bag of sugar can make 19 batches of chocolate chip cookies.

To determine how many batches of chocolate chip cookies can be made with one bag of sugar, we need to divide the total amount of sugar in the bag by the amount of sugar used in each batch of cookies. Since the bag holds 23 3/4 cups of sugar, and the recipe uses 1 1/4 cups of sugar per batch, we can set up the following division:

23 3/4 ÷ 1 1/4 = (95/4) ÷ (5/4) = (95/4) × (4/5) = 95/5 = 19

Therefore, one bag of sugar can make 19 batches of chocolate chip cookies.

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A number is said to be rational if it can be expressed as a fraction of two integers.

0.87 is a rational number

Let the number be x.

So, we have:

[tex]x = 0.87[/tex]

Express as a fraction with a denominator of 1

[tex]x = \frac{0.87}{1}[/tex]

Multiply the fraction by 100/100

[tex]x = \frac{0.87 \times 100}{1 \times 100}[/tex]

[tex]x = \frac{87}{100}[/tex]

The fraction cannot be reduced further.

87 and 100 are integers.

This means that 0.87 is rational.

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The constant rate of change of $8 per hour signifies that for each hour that passes, the associated value increases by $8. To find missing values in the table, you add or subtract $8 per hour depending on whether you're looking forward or backward in time.

Since the constant rate of change in your table is $8 per hour, this means that for each hour that passes, the value in your relationship increases by $8. This value is akin to the concept of constant slope in the graph of a linear function, where the 'rise over run' (or change in y-values over change in x-values) remains the same.

To find the missing values in your table, start with the first known value and add $8 for each subsequent hour. If you're moving backwards (i.e., from a time later to an earlier time), you would subtract $8 for each hour.

For example, if you know that the value at 2 hours is $20, then the value at 3 hours would be $20 + $8 = $28. On the other hand, the value at 1 hour would be $20 - $8 = $12.

By applying this step-by-step process, you should be able to fill in the missing values in your table.

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sqrt(60) =7.745967 rounded to nearest 100th = 7.75

58/8 = 7.25

7.3 rounded to nearest 100th = 7.33

7 3/5 = 7.6

7.6 +7.33 +7.25+7.75 = 29.93/4 = 7.4825 = 7.48km

A line is a straight, infinite, one-dimensional entity with no thickness or endpoints. It can be represented mathematically, intersects at points or can be parallel to other lines.

Given that,

To find the characteristic of a line.

Now, A line is a fundamental geometric concept characterized by several key properties.

Firstly, it is straight and extends infinitely in both directions.

Secondly, it has no thickness, meaning it is one-dimensional and can be represented by a mathematical equation or equation system.

Thirdly, any two points on a line can be connected to form a segment, making it possible to measure distances along the line.

Now, Additionally, a line has no endpoints, which distinguishes it from a line segment.

Lastly, lines can intersect each other at a single point or be parallel, maintaining a constant distance from one another throughout their lengths.

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Answer:

x=32

Step-by-step explanation:

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The value of x is 32.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

x/8 + 12 = 16

Solve for x.

x/8 + 12 = 16
Subtract 12 on both sides.

x/8 = 16 - 12

x/8 = 4

Multiply 8 on both sides.

x = 8 x 4

x = 32

Thus,

The value of x is 32.

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To find the total cost of shipping a 7-pound care package, you can use the formula: Total Cost = (Cost per pound * Number of pounds) + Flat fee. When applying this formula to the given scenario, the total cost to ship a 7-pound care package is $17.95.

To find the total cost of shipping a 7-pound care package, consider that it costs $0.85 per pound plus a flat fee of $12. You can create an algebraic expression to find the total cost:

Total Cost = (Cost per pound * Number of pounds) + Flat fee

Substitute in the values: Total Cost = ($0.85 * 7) + $12 = $5.95 + $12 = $17.95

To solve the equation -3x = 15, you divide by -3 to get x = -5. To check, substitute -5 for x in the original equation to verify that the left and right sides are equal.

To solve the equation -3x = 15, we want to isolate x on one side of the equation. The algebraic property we will use here is the Division Property of Equality, which states that if we divide both sides of an equation by the same nonzero number, the two sides remain equal.

Step-by-Step Solution:

Now, let's check the answer to verify it's reasonable. Substitute x = -5 back into the original equation (-3x = 15) and see if the equation holds true: