To the nearest hundred thousand, there were 700,000 visitors to an amusement park las year which could be the exact number of visitors?

The steps to solve multi-step equations are;

1. Parenthesis

2. Exponents

3. Multiplication/division

4. Addition/subtraction

An equation represents equality of two or more mathematical expression.

To solve an equation, they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

For the Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The steps to solve multi-step equations are;

1. Parenthesis

2. Exponents

3. Multiplication/division

4. Addition/subtraction

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The average cost of regular gasoline in North Carolina increased by 73% from 2006 to 2007. Therefore, if the average cost in 2006 was $2.069, it increased by approximately $1.51 to about $3.58 per gallon in 2007.

The subject of this question is a real-world application of the concept of percentage increase in mathematics. To calculate the average cost of regular gasoline in North Carolina in 2007, we use the given fact that it increased by 73% from 2006 to 2007. If the average cost in 2006 was $2.069,

First, find out what the 73% of $2.069 is. We do this by multiplying 2.069 by 73/100: 2.069*(73/100) = $1.51037.

Next, add the number you found above to the original 2006 price: $2.069 + $1.51037 = $

3.57937

.

So the average cost of regular gasoline in 2007 in North Carolina was approximately $3.58 per gallon (rounding to the nearest cent).

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The values of the expression [tex]6x - x^2[/tex] are evaluated for x values from 0 to 6 and a symmetrical pattern around x = 3 is observed, with the expression value increasing up to x = 3 and then decreasing symmetrically.

The expression to evaluate is [tex]6x - x^2[/tex]. Let's plug in each value of x into the expression and see the result.

The pattern we can observe from filling the table is that the value of the expression increases until x = 3 and then decreases symmetrically.

At x = 0 and x = 6, the expression has a value of 0, creating a symmetry about the axis x = 3, which is the vertex of the parabola represented by the given quadratic expression.

Answer:

9.1

Step-by-step explanation:

Formula; Higher value-lower value/Original value x 100

Solve;

$1099-$999/$1099 x100

= 100/1099 x100

= 9.0991810737

Round = 9.1

[RevyBreeze]

TO get the number of bags, we simply get the quotient, that is:

(12 / 15 pounds) / (1 / 3 pounds) = 2.4 bags

Since bags cannot be decimal, so it can only fill 2 bags. The left over is 0.4 or:

0.4 * (1/3) = (2/5) * (1/3) = 2/15 pounds

Answer:

2 bags filled, left over is 2/15 pounds of granola

Answer:  2 bags can be filled and [tex]\dfrac{2}{5}[/tex] pound of granola will be left over.

Step-by-step explanation:

Given : A large bag contains [tex]\dfrac{12}{15}[/tex] pound of granola.

The number of bags can be filled with [tex]\dfrac{1}{3}[/tex] pound of granola in each bag will be :-

[tex]\dfrac{12}{15}\div\dfrac{1}{3}\\\\=\dfrac{12}{15}\times\dfrac{3}{1}=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]

Thus, the number of bags = 2

The amount  of granola left=[tex]\dfrac{2}{5}[/tex] pound

The duration for the rocket to hit the ground, its height at 2 seconds, and its maximum height can be calculated using the given quadratic equation for height over time. The maximum height is determined by finding the vertex of the parabola.

To determine how long it takes the toy rocket to hit the ground, we need to set the equation for height h to zero and solve for time t. The model for the path of a toy rocket is given by [tex]h = -16t2 - 4.9t2[/tex]. To solve for t, we factor the right side:

[tex]h = -4.9t(16 + t)[/tex]

Since h = 0 when the rocket hits the ground, we set [tex]-4.9t(16 + t) = 0[/tex] and solve for t. There are two solutions: t = 0 (when the rocket is launched) and the positive solution which is when the rocket hits the ground. We disregard the solution t = 0 and solve for the positive solution to find out how long it takes to hit the ground.

To find out how high the rocket was at 2 seconds, we simply plug t = 2 into the original equation:

[tex]h = -16(2)2 - 4.9(2)2[/tex]

And solve for h to get the height at 2 seconds.

To determine the maximum height of the rocket, we need to find the vertex of the parabola represented by the given equation, which is a quadratic function of t. Since the coefficient in front of t2 is negative, the vertex will give us the maximum height. The time it takes to reach the maximum height is given by t = -b/2a, where a and b are coefficients from the equation [tex]h(t) = at2 + bt + c.[/tex] In this case, a = -4.9 and b = -68.

The calculations must be done to find the precise values for the time to hit the ground, the height at 2 seconds, and the maximum height of the rocket, along with the time it takes to reach it.

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The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.

A proportion is a comparison of two numbers that each represent the parts of a whole.

Given that, Imani gives vitamins to her dog. The recommended dosage is 1 teaspoon per day for adult dogs weighting 10 pounds. She needs to give vitamins to Bruiser, who weighs 80 pounds and to Dust Ball, who weighs 7 pounds.

The proportion will be = 1/10 = x/80 = y/7

x = 8 and y = 0.7

Hence, The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.

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4 units is  the distance between these two points represent

A number system is defined as a system of writing to express numbers.

Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

Let the x point is at minus two and y is at two

The distance will be always positive

As we count the number of humps for each unit we get four.

So the distance is 4 units.

The distance between two points is the length of the line joining the two points

|-2-2|=4

Hence, 4 units is  the distance between these two points represent

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Answer:

12.5829=12.6

Because the 5 is the tenths place, and the 8 is greater than 5, so that would make the 5 go up to 6

The correct answers are:

53 is the cost of the meal and x is the tip percentage.

Explanation:

When we add a tip to the total cost of a meal, we pay 100% of the cost of the meal plus an additional amount.  In decimal form, this gives us 1 + the decimal for the tip percent.  This is the (1+x) in this expression.

We multiply this (1+x) by the cost of the meal.  This means that in this case, 53 is the cost of the meal.