Manny drove 45 miles in 0.75 hours. What was the average rate that he drove in miles per hour

In the given scenario, we analyze variable costs, fixed costs, and total costs in a manufacturing context where the business sells a product at a set price and bears specific levels of fixed and variable costs. Average variable cost is obtained by dividing total variable costs by the quantity produced, which impacts the total cost and pricing strategies for the business.

The scenario you're describing involves concepts of variable costs, fixed costs, and total costs in the context of a manufacturing business. At zero production, the fixed costs amount to $16,000. These costs do not change regardless of production levels. As production increases, the variable cost, which is $5.35 per unit, is added to the fixed costs. Total cost for any given level of production is the sum of variable and fixed costs. When a company sells the product for $8.20 per unit and can sell all that it produces, it gives us a context to calculate break-even points, profit margins, and other relevant financial metrics.

For example, average variable cost (AVC) is determined by dividing the total variable cost by the quantity of output. If a hypothetical scenario is given where the company produces 80 units, the total variable cost would be 80 units times $5.35, resulting in $428. Therefore, the AVC would be $428/80, which is $5.35 per unit.

As output increases, fixed costs per unit decline because these costs are spread over more units, making the average variable cost a relatively bigger component of the total cost. This principle is crucial for businesses as they plan production and pricing strategies to cover costs and achieve profitability.

Average variable cost cannot be calculated without the quantity of output. The total cost is the sum of fixed costs and variable costs.

The subject of this question is  and the grade level is

To find the  of producing a product, we divide the by the . In this case, the variable cost is $5.35 per unit. To calculate the average variable cost, we need to know the quantity of output. Since the question does not provide the quantity of output, we cannot calculate the average variable cost.

The fixed costs of the hand tool manufacturer are given as $16,000. Fixed costs do not change with the quantity of output. The total cost is the sum of the fixed costs and the variable costs. To calculate the total cost, we would need to know the quantity of output.

X : EL NUmerRO DESCONOCIDO

X*2  : X ELEVADO AL CUADRADO

X*2 -9  : EL NUMERO ELEVADOAL CUADRADO Y DISMINUIDO EN 9

Equivale es igual a :   

 X -2 : EL EXCESO DEL NUMERO SOBRES DOS (se deduce que X es mayor a 2)

 8(X-2)  :  ocho veces el exceso del numero sobre 2

ECUACION

 x*2 -9 = 8 (X-2) 

 X*2 -9=8X-16

X*2 - 8X -9+16=0

X*2 - 8X +7 =0

 pOR EL METODO DE ASPA SIMPLE Y COMO ES CUADRATICA  X SALE CON DOS VALORES

  X= 7   ó   X=1     

 LA RESPUESTA ES   X=7   YA QUE DE LA CONDICION SABEMOS QUE X TENE QUE SER mayor que 2

RESPUESTA EL NUMERO ES 7 

1 mile = 1760 yards

13.1 * 1760 = 23056 yards / 58.38 = 394.93 yards per minute

394.93/60 = 6.58 yards per second

30/4.8 = 6.25 yards per second

13.1miles in 58 minutes 23 seconds is faster

Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm.  Hence Option 3 is Correct

To determine whose measurements are the most accurate, we need to compare each friend’s measurements against the correct value of the grain of rice, which is 6 mm. The accuracy of measurements corresponds to how close they are to this true value.

Let's look at each friend's measurements:

To evaluate accuracy, we calculate the deviation of each measurement from 6 mm, then find the mean absolute deviation for each friend:

Here, Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm.

Yuto's measurements are the most accurate.

Andrey: 7 mm, 5 mm, 6 mm, 8 mm

Mean value: [tex]\frac{7 + 5 + 6 + 8}{4} = 6.5[/tex] mm

Absolute errors: [tex]|7 - 6| = 1[/tex] mm, [tex]|5 - 6| = 1[/tex] mm, [tex]|6 - 6| = 0[/tex] mm, [tex]|8 - 6| = 2[/tex] mm

Average error: [tex]\frac{1 + 1 + 0 + 2}{4} = 1[/tex] mm

Mariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mm

Mean value: [tex]\frac{7.41 + 8.54 + 5.12 + 6.23}{4} \approx 6.825[/tex] mm

Absolute errors: [tex]|7.41 - 6| \approx 1.41[/tex] mm, [tex]|8.54 - 6| \approx 2.54[/tex] mm, [tex]|5.12 - 6| \approx 0.88[/tex] mm, [tex]|6.23 - 6| \approx 0.23[/tex] mm

Average error: [tex]\frac{1.41 + 2.54 + 0.88 + 0.23}{4} \approx 1.265[/tex] mm

Yuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mm

Mean value: [tex]\frac{6.1 + 5.9 + 6.3 + 7.2}{4} \approx 6.375[/tex] mm

Absolute errors: [tex]|6.1 - 6| = 0.1[/tex] mm, [tex]|5.9 - 6| = 0.1[/tex] mm, [tex]|6.3 - 6| = 0.3[/tex] mm, [tex]|7.2 - 6| = 1.2[/tex] mm

Average error: [tex]\frac{0.1 + 0.1 + 0.3 + 1.2}{4} \approx 0.425[/tex] mm

Misaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mm

Mean value: [tex]\frac{5.843 + 6.981 + 5.334 + 7.632}{4} \approx 6.448[/tex] mm

Absolute errors: [tex]|5.843 - 6| \approx 0.157[/tex] mm, [tex]|6.981 - 6| \approx 0.981[/tex] mm, [tex]|5.334 - 6| \approx 0.666[/tex] mm, [tex]|7.632 - 6| \approx 1.632[/tex] mm

Average error: [tex]\frac{0.157 + 0.981 + 0.666 + 1.632}{4} \approx 0.859[/tex] mm

Answer:

F. 220

Step-by-step explanation:

Showing the time for 1 to 5 meetings means we would go from 43(1) = 43 to 43(5) = 215 for the y-axis (time in minutes).

We are counting by 10s.  The two closest tens to 215 are 210 and 220.  However, in order to show 215 on the graph, we must go up to 220.

Answer: 220

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Let x be 1/10 of 0.04.

1/10 of x would be [tex]\frac{1}{10}x[/tex].

We can represent our given information in an equation as:

[tex]\frac{1}{10}x=0.04[/tex]

Let us solve for x.

[tex]10*\frac{1}{10}x=10*0.04[/tex]

[tex]x=0.4[/tex]

Therefore, 0.04 is 1/10 of 0.4.

Answer:

75.4296 meters

Step-by-step explanation:

Use the circle area equation: pi(r)^2 to do 4.9^2 multiplied by pi

Final answer:

The profit is calculated by subtracting the group's expenses from their total earnings, resulting in a profit of $206.

Explanation:

The student's question is about calculating the profit made by a youth group from washing cars. To find the profit, we subtract the group's expenses from their earnings. Here is the calculation:

Total earnings from car washing: $285.

Total expenses: $79.

To find the profit, subtract expenses from earnings: $285 - $79 = $206.

Therefore, the youth group made a profit of $206 from washing cars.

The statement 'All squares are rectangles' written as a conditional is 'If a shape is a square, then it is a rectangle.' This forms a strict conditional that states the sufficiency of the condition of being a square for the necessity of being a rectangle.

When we are asked to write the statement 'All squares are rectangles' as a conditional, we are forming what is called a strict conditional. This type of conditional states that if the antecedent (the 'if' part) is true, then the consequent (the 'then' part) must also be true without any exceptions. In our example, the antecedent is the condition of being a square, and the consequent is the condition of being a rectangle.

Strict Conditional Example

If a shape is a square, then it is a rectangle. This expresses a clear relationship between two properties: being a square and being a rectangle. This conditional is considered strict because there are no exceptions to the rule; every square is, by definition, a rectangle.

Inequality that models the given situation is given by 6x+2 ≤ 32.

Price of each sandwich is equals to $5 or less.

" Inequality is defined as the algebraic expression which represents the relation between the variables using the sign of inequality < , > , ≤ , ≥."

According to the question,

Given,

Number of sandwiches = 6

Amount spend on kids meal = $2

Total money with Charlie = $32

'x' represents the cost of each sandwich

As per the condition inequality is given by,

[tex]6x+2 \leq 32\\\\\implies 6x \leq 32 - 2\\\\ \implies 6x \leq 30 \\\\ \implies x \leq \frac{30}{6} \\\\\implies x\leq \$5[/tex]

Hence, Option(D) is the correct answer

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The correct answer is

8,6 & 6, 9

Answer:

The correct options are 1 and 3.

Step-by-step explanation:

It is given that x represents the number of small boxes and y represents the number of large boxes.

The post office has 10 small boxes and 9 large boxes in stock.

He needs at least 4 small boxes.

[tex]4\leq x\leq 10[/tex]

He will buy no more than 15 boxes.

[tex]6+9=15\leq 15[/tex]

[tex]8+6=14\leq 15[/tex]

Therefore options 1 and 3 are correct.

[tex]x+y\leq 15[/tex]

[tex]7+10=17>15[/tex]

[tex]9+8>15[/tex]

Therefore options 2 and 4 are incorrect.

The equation of the line having The x-intercept of the line is 2, The y-intercept of the line is 12, is y = -6x + 12.

Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.

A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction.

Given:

The x-intercept of the line is 2,

The y-intercept of the line is 12,

Write the equation of the line as shown below,

y = m x + 12

Here, m is the slope,

At y = 0 we get the x-intercept, so

0 = m × 2 + 12

m = -12 / 2

m = -6

Thus, the equation of the line is y = -6x + 12.

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The fraction of the days of the year Regina have fog will be 438.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Regina has wet weather on about 3/10 of the days in a year. It has wet weather on about four times as many days as it has fog.

We have to find the fraction of the days of the year Regina have fog,

From the given conditions,

wet weather = 3/10 × days in year

wet weather = 4 × days of fog

Combined both the equation,

3/10 × 365 = 4 × x

x=3×365/10×4

x=438

Thus, the fraction of the days of the year Regina have fog will be 438.

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