Your math class is collecting canned food for a local food drive. The goal is to collect at least 110 cans but no more than 190 cans due to space limitations. There are 20 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.

hi

because it lead to mathematical nonsense

3x-7  = 3x+5

3x-7 -3x-5 = 0

    -7-5 = 0

    -12 =0  

-12 = 0 is just not possible, so 3x-7 = 3x +5  has no solution.

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Find our given information

y = x + 6       -- equation 1

2x + 3y = 30 -- equation 2

plug equation 1 into equation 2

\(2x + 3(x+6) = 30\\2x + 3x + 18 = 30\\5x +18 =30\\x = 12/5 -- equation 3\)

plug equation 3 into equation 1

\(y = (12/5) + 6 = 42/5\)

The intersection is (12/5, 42/5)

Hope that helps!

The step that Inga could use to solve the quadratic equation is;

2(x² + 6x + 9) = 18 + 3.

The solution to the quadratic equation is calculated as follows;

2x² + 12x - 3 = 0

Add 3 to both sides to get;

2x² + 12x = 3

Divide through by 2 which is the coefficient of x² to get;

x² + 6x = ³/₂

Square half of the coefficient of x, and then add it both sides of the equation to get;

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

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The equation of the line in standard form is 3x + y - 4 = 0.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation, which is given by y = mx + b, where m is the slope and b is the y-intercept.

Given the points S(, 1) and T(, 4), we need to determine the slope (m) and the y-intercept (b).

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the values, we get:

m = (4 - 1) / ( - ) = 3 / ( - ) = -3

Now that we have the slope, we can substitute it into the equation y = mx + b and use one of the given points to solve for the y-intercept (b).

Using the point S(, 1):

1 = (-3)(1) + b

1 = -3 + b

b = 4

Therefore, the equation of the line passing through the points S and T is:

y = -3x + 4

Converting it to standard form Ax + By + C = 0, we rearrange the equation:

3x + y - 4 = 0

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The total money spent to carpet the hallway was $261

An equation is an expression that shows how two numbers and variables are related using mathematical operations such as addition, subtraction, exponent, division and multiplication.

From the diagram:

Both buildings have the shape of a trapezoid.

Area of a trapezoid = (1/2) * height * sum of parallel sides

For the first building:

Area of a trapezoid = (1/2) * 6 * (18 + 17) = 105 ft²

For the second building:

Area of a trapezoid = (1/2) * 6 * (12 + 11) = 69 ft²

Total amount of carpet needed = 105 ft² + 69 ft² = 174 ft²

Carpet cost $1.5 per ft², therefore:

Total cost = $1.5 per ft² * 174 ft² = $261

The total money spent was $261

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The largest area the farmer can enclose with 100 feet of fencing is a rectangle with sides that measure 25 feet by 40 feet. The area of this rectangle is 1000 square feet. The farmer can use this information to fence off the largest possible area for his farm with the 100 feet of fencing he has available.

Area is the measurement of a two-dimensional figure or space. It is represented by a numerical value and is typically measured in units of square meters, square centimeters, or square feet. Area is often used to measure the size of a piece of land, the area of a room, or the total surface of a 3D object. In mathematics, area is a fundamental concept and is used to calculate various other figures, such as the perimeter and volume.

The largest area the farmer can enclose with 100 feet of fencing is a rectangle with sides that measure 25 feet by 40 feet. This can be determined through the proper and complete calculation of the perimeter and area of the rectangle. To start, the perimeter of a rectangle is equal to the sum of its four sides, so the farmer needs to use all of the fencing to create a rectangle with a perimeter of 100 feet. This means that the two sides of the rectangle, x and y, have to add up to 100 feet when added together. This equation can be expressed as x + y = 100.

Next, the area of a rectangle is equal to the product of its two sides, so the farmer needs to find the two sides that will give the largest product when multiplied together. To do this, the farmer can use the equation from the perimeter, x + y = 100, to solve for x and y. This gives the equation x = 100 – y. Plugging this equation into the area equation gives the equation A = (100 – y)y. To find the maximum area, the farmer needs to take the derivative of this equation and set it to zero. This gives the equation y = 50, meaning that the two sides of the rectangle are both 50 feet.

Therefore, the largest area the farmer can enclose with 100 feet of fencing is a rectangle with sides that measure 25 feet by 40 feet. The area of this rectangle is 1000 square feet. The farmer can use this information to fence off the largest possible area for his farm with the 100 feet of fencing he has available.

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Answer:

Step-by-step explanation:

Hello, by definition a perfect square can be written as \(a^2\) where a in a positive integer.

So, to answer the first question, \(6^2\) is a perfect square.

(a,b,c) is a Pythagorean triple means the following

\(a^2+b^2=c^2\)

Here, it means that

\(x^2=20^2+21^2=841=29^2 \ \ \ so\\\\x=29\)

Thank you.

Answer:

Its B

Step-by-step explanation:

Answer:

Based on the given conditions;

50÷(1-15℅)

=50/1-0.15

=50/0.85

=1000/17

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Answer:

6.8 7.0 7.2 7.4 7.6 7.8

Step-by-step explanation:

Answer:

1st blank: 6.8

2nd: 7.4

Step-by-step explanation:

thats the answer :)

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

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The complete question is:

Answer:

About 495 people

Step-by-step explanation:

Divide 7428 by 15 years.

Answer:

Step-by-step explanation:

Answer:

770,400

Step-by-step explanation:

770,400 seconds

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

0.06

Step-by-step explanation:

0x x it expand almost done ✅✅✅

Answer:

1/3

Step-by-step explanation:

3x + y = -6

y = -3x - 6

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -3 is 1/3

Answer:

I think the answer would be slope is -3...as well as the y-intercept is (0,-6)

Step-by-step explanation:

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer

The elevation of the helicopter = +10.75 meters

Explanation

Before starting, note that

18 1/2 = 18.50

-7 3/4 = -7.75

And the ground has an elevation of 0, spots above the ground have positive elevations and spots below the ground have negative elevation.

Let the elevation of the helicopter be x.

And the elevation of the submarine be y.

The difference in elevation of a helicopter and a submarine is 18.50 meter

x - y = 18.50

Elevation of a submarine is -7.75 meters (there's negative sign in front because a submarine is under the sea level)

So, y = -7.75

Recall that

x - y = 18.50

x - (-7.75) = 18.50

x + 7.75 = 18.50

x = 18.50 - 7.75

x = +10.75 m

The elevation of the helicopter = +10.75 meters

Hope this Helps!!!

Answer:

3m 95cm

Step-by-step explanation:

its... simple math? i added 2 and 1; and 30 and 65?

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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Step-by-step explanation:

One taco =$10.20/12=$0.85

The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).