the sum of three consecutive number odd integers is 18 less than five times the middle number find the three integers

The value of x in the given equation is 41.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15, 9x+9 = 9, 3x+9 = 7, ax+by = z etc.

Based on the degree, equations can be classified into the following three types: Linear equation, Quadratic equation or Cubic equation

Given that, an equation 2x+12 = 3x-31

Solving for x,

2x+12 = 3x-31

Combining the like terms, by transposing,

3x-2x = 31+12

x = 41

Hence, the value of x in the given equation is 41.

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Answer:

The cost of one ounce of cereal is $0.24

Step-by-step explanation:

We are given the following information in the question:

Amount of cereals a box contain = 23.4 ounces

Cost of one box = $5.94

Cost of cereal per ounce =

Formula:

[tex]\text{Cost of one ounce of cereal} = \\\\\displaystyle\frac{\text{Cost of cereal}}{\text{Amount of cereal in a box}}[/tex]

Putting the values, we have:

[tex]\text{Cost of one ounce of cereal} = \displaystyle\frac{5.49}{23.4} = 0.2347 \approx 0.24[/tex]

Hence, the cost of one ounce of cereal is $0.24

We have that for the Question ,it can be said that The speed pf the river is

3mph

From the question we are told

Bob can row 14 mph in still water. The total time to travel downstream and return upstream to the starting point is 2.8 hours. If the total distance downstream and back is 36 miles, determine the speed of the river (current speed).

Generally the equation for the time  is mathematically given as

[tex]t=\frac{d}{v}\\\\Therefore\\\\3=\frac{12}{9+x}+\frac{12}{9+x}[/tex]

[tex]1/4=\frac{12}{9^2=x^2}\\\\x^2=81-71\\\\\x=\pm 3\\\\x=3[/tex]

Therefore

The speed pf the river is 3mph

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The provided data is insufficient to accurately calculate the area of the polygon. With an assumption that the shape is a rectangle and the lengths are 15m and 8m, the area would be 120 square meters.

To calculate the area of a polygon, it's ideal to break down the polygon into simpler shapes like rectangles or triangles, for which we have well established formula for area. However, the information you've provided is inadequate to define a specific polygon shape like a rectangle or a square. Four sides could suggest a rectangle or a quadrilateral, but we don't know two essential properties: the arrangement of these sides and the measure of angles. For instance, if it was a rectangle, we'd look for pairs of equal lengths. If your shape is indeed a rectangle, and we assume that 15m and 8m are the length and width (or vice versa), we could calculate the area. For a rectangle, the area is calculated as length multiplied by width. In this case, it would be 15m*8m = 120 square meters.

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Final answer:

The distance between the points (9, -7) and (9, 4) is calculated by finding the absolute difference between the y-coordinates since the x-coordinates are the same. The distance is 11 units.

Explanation:

To calculate the distance between two points on a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem. However, in this particular case, since the x-coordinates of the points (9, -7) and (9, 4) are the same, the distance is simply the absolute difference between the y-coordinates.

The formula to find the distance between two points (x1, y1) and (x2, y2) is:

d = √((x2 - x1)² + (y2 - y1)²)

So, substituting the known values:

d = √((9 - 9)² + (4 - (-7))²) = √(0 + 11²) = √121 = 11

Therefore, the distance between the points (9, -7) and (9, 4) on a coordinate plane is 11 units.

The measure of angle E is 0 degrees not provided in the options (A, B, C, or D), and the correct answer is "Cannot be determined."

To find the measure of angle E in degrees that the sum of angles in a triangle is 180 degrees.

From the given triangle, two angles with measures 50 degrees each (angle A and angle B), and one angle with a measure of 80 degrees (angle D).

To find the measure of angle E, we can use the equation:

Angle E = 180° - (angle A + angle B + angle D)

Angle E = 180° - (50° + 50° + 80°)

Angle E = 180° - 180°

Angle E = 0°

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The relationship between Crystal's age and her height is determined by examining the ratios of age to height for different entries in the table. If the ratios are equal, then the relationship is proportional.

To determine if the relationship is proportional, compare the ratios of Crystal's age to her height for different entries in the table. If the ratios are equal, then the relationship is proportional. If the ratios are not equal, then the relationship is not proportional.

For example, if Crystal's age is 10 and her height is 50 inches, the ratio would be 10/50 = 0.2. If Crystal's age is 20 and her height is 100 inches, the ratio would be 20/100 = 0.2. Since the ratios are equal, the relationship between Crystal's age and her height is proportional.

Answer:

2 x /3 − 9/ 2

− y + 36

A real-world situation that can be solved using a two-step equation is calculating the total cost of a shopping trip. Let's say you go to a store and buy some items. Each item costs $5, and you buy 3 items. You also have a $10 coupon. To find the total cost, we can use a two-step equation: 3 * 5 - 10 = x. Solving the equation, we get x = 15.

A real-world situation that can be solved using a two-step equation is calculating the total cost of a shopping trip. Let's say you go to a store and buy some items. Each item costs $5, and you buy 3 items. You also have a $10 coupon. To find the total cost, we can use a two-step equation:

Step 1: Write the equation. Let x be the total cost.

Step 2: Solve the equation. The cost of the items is $5 per item, so the first step is to multiply 3 (number of items) by 5 (cost per item). Then subtract the $10 coupon from the total cost. The equation becomes 3 * 5 - 10 = x. Solving the equation, we get x = 5. Therefore, the total cost of the shopping trip is $15.

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