One car rental company charges $30 per day plus $0.25 per mile driven. a car company charges $40 per day plus $0.10 per mile driven. how many miles must you drive for a one-day rental at the second company to be less expensive than the same rental at the first company? write an inequality to solve.

The expression is simplified as 2a − 6b + c. Then the correct option is B. The value of the expression 3x² - y³ - y³ - z will be 48.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ a + 2c − 5b − c + a − b

Simplify the expression, then we have

⇒ 2a − 6b + c

Then the correct option is B.

The expression is given below.

⇒ 3x² - y³ - y³ - z

If x = 3, y = −2, and z = −5. Then the value of the expression will be

⇒ 3(3)² - (-2)³ - (-2)³ - (-5)

⇒ 3 x 9 + 8 + 8 + 5

⇒ 27 + 21

⇒ 48

The value of the expression 3x² - y³ - y³ - z will be 48.

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Because we are finding DOLLAR amounts, and not a total, we are simply going to do this:

Salary * (percent /100) = $Value

20,000 * 3%  [or 0.03] = $600

20,000 * 4%  [or 0.04] = $800

20,000 * 6%  [or 0.06] = $1,200

Now to find his new salary if he were to get a raise, we will add the individual amounts to 20,000 is he were to only get a SINGLE percent raise increase...

If his salary (currently) is $20,000 and gets a 3% raise, his new salary is:

$20,600

If his salary (currently) is $20,000 and gets a 4% raise, his new salary is:

$20,800

If his salary (currently) is $20,000 and gets a 6% raise, his new salary is:

$21,200

If he were to get all THREE raises at the same time (per say) [or one after the other going off of a $20,000 salary], his new salary is:

$22,600

To apply the Pythagorean Theorem, you need the lengths of the two legs of a right triangle. Trigonometric ratios involve the angles and ratios of sides in a right triangle. Examples are provided for both methods.

In order to apply the Pythagorean Theorem, you need the lengths of the two legs of a right triangle. The theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. For example, if we have a triangle with legs of lengths 3 and 4, we can use the theorem to find the length of the hypotenuse. The square of the hypotenuse is 3^2 + 4^2 = 9 + 16 = 25, so the hypotenuse has a length of 5.

Trigonometric ratios, on the other hand, involve the angles of the right triangle and ratios of its sides. The three main trigonometric ratios are sine, cosine, and tangent. For example, if we have a right triangle with an angle of 30 degrees and one leg of length 5, we can use trigonometry to find the length of the other leg. The sine of the angle is given by the ratio of the opposite side (the leg we want to find) to the hypotenuse. So, sin(30 degrees) = opposite / hypotenuse = x / 5. Solving for x, we get x = 5 * sin(30 degrees) = 5 * 0.5 = 2.5.

Final answer:

The equation for Omar's total pay after working h hours at $8 per hour is p = 8h. This linear equation indicates a direct proportion between hours worked and total pay, reflecting a total of $64 for an 8-hour day.

Explanation:

The equation to represent Omar's total pay, p, after working h hours, at the rate of $8 per hour, is given by p = 8h. This linear equation shows that the total pay is directly proportional to the number of hours worked. Therefore, if Omar works for a standard 8-hour day, he would earn 8 hours times $8 per hour, which equals $64 for that day.

Answer: Option C i.e. 22.1 is correct

Step-by-step explanation:

The given expression follows pemdas rule

PEMDAS:

P for Paranthesis

E for Exponents

M for Multiplication

D for division

A for Addition

S for Subtraction

Given :24 -12 /2 *3.2

=  24-12/2*3.2     [Multiplication]

= 24- 12/6.4      [Division]

=24-1.875         [Subtraction]

=22.125

So the answer is C. 22.1

There were 6 trucks.

if you multiply 6 * 5 = 30.

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Unit circle : a circle with radius of one. Unit circle is centered at the origin.

Use the formula cot x = base / perpendicular, where x is the angle. Substituting x,y and t to the formula, we get cot (t) = x / y.

To find the trigonometric function values for a point on the unit circle corresponding to a real number t involves using the x and y coordinates, which are derived from the cosine and sine functions at that angle t.

The student's question involves finding the values of trigonometric functions for a point p(x, y) on the unit circle that corresponds to a real number t. This typically involves understanding the relationship between the coordinates of a point on the unit circle and the trigonometric functions sin, cos, and tan. In this context, x(t) and y(t) are understood as the x and y coordinates of a point on the unit circle at a certain angle t. The point p(x, y) would be given by the cosine and sine functions: x(t) = cos(t) and y(t) = sin(t). In more advanced contexts, these functions can take different forms like x(t) = A cos(wt + p) where A, w, and p are constants. The solution to trigonometric equations may involve differential equations or complex numbers in such cases.

The value of the x is greater than negative of 32 over 9.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given as,

–5/2(3x + 4) < 6 – 3x

Simplifying the equation,

–5(3x + 4) < 2(6 – 3x)

  5(3x + 4) > 2(3x – 6)

  15x + 20 > 6x – 12

            9x > –12 – 20

              x > –32 / 9

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Final answer:

To find the equation of a line perpendicular to another, determine the slope of the original line and use the negative reciprocal of that slope for the perpendicular line. Choose a point on the perpendicular line, and apply the point-slope form to get the equation.

Explanation:

The process of finding a perpendicular line involves first understanding the slope of the given line. To find the equation of a line that is perpendicular to another, you need to identify the slope (m) of the original line and use the fact that the slopes of perpendicular lines are negative reciprocals of each other (meaning if the slope of the first line is m, the slope of the line perpendicular to it will be -1/m). In the context of vectors and analytical methods in physics, components can help describe forces or directions. If we consider the example of a skier on a slope, breaking down the weight force into components parallel and perpendicular to the slope helps analyze the motion. However, for strictly finding a perpendicular line in mathematics, we focus on the slopes of the lines. Suppose you have the equation of the original line. If it is in the format y = mx + b, where m is the slope and b is the y-intercept, you can find the slope of the perpendicular line by taking the negative reciprocal of m. If the slope is not readily apparent, you might need to rearrange the equation into this format. Once you have the slope of the perpendicular line, choose a point through which the line passes (this could be the original point or any particular point you're given). Then, use the point-slope form (y - y1) = m(x - x1) to write the equation of the line.

The equation q=r+rst can be rearranged to isolate t, with the final solution being t=(q-r)/rs.

To solve for t in the equation q=r+rst, first, you need to isolate t on one side of the equation. You can do this by subtracting r from both sides so that you have q-r=rst. Next, divide both sides by rs, which gives you the final solution: t=(q-r)/rs.

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