The level of a lake was 8 inches below normal. It decreased 1 1/4 inches in June and 2 3/8 inches more in July. What was the new level with respect to the normal level?

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.

t = time to hike up the hill

3-t is the time to hike down the hill

 so 4t = 6(3-t)

4t = 18-6t

10t = 18

t = 18/10 = 1.8 hours to hike up the hill

1.8 hours = 1 hour 48 minutes

Answer:

The time it took him to climb up the hill is 1.8 hours.

Step-by-step explanation:

Here, t represents the the time it took him to climb up the hill,

Total time taken by it = 3 hours,

Thus, the time taken by it to climb down the hill = ( 3 - t ) hours.

Since, Trent hikes up a hill at 4 km/h,

⇒ Total distance covered by it to climb up = 4 t    (Distance = Speed × Time)

Since, Trent go down a hill at 6 km/h,

⇒ Total distance covered by it to go down = 6(3-t)  

We know that,

Total distance covered by it to climb up = Total distance covered by it to go down

⇒ 4t = 6(3-t)

Which is the required equation.

⇒ 4t = 18 - 6t

⇒ 10 t = 18

⇒ t = 1.8

Hence, the time it took him to climb up the hill is 1.8 hours.

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 value of 6 cube or 6×6×6 or 6³ is 216.

A perfect square number when taken the square root of it results in an integer.

Numbers that are not perfect squares when taken the square root of it are irrational numbers.

One method of obtaining square roots for perfect squares is prime factorization.

Now, A perfect cube number is which when taken cube root results to an integer.

A number multiplied by itself by twice results in a cube of that number.

Therefore, The value of 6 cube would be 6 multiplied twice to itself, which is, = 6×6×6 = 36×6 = 216.

It can also be written as exponent form which is, 6³.

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Answer:

75.4296 meters

Step-by-step explanation:

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

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

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.

Answer:

20.6%

Step-by-step explanation:

To calculate the percentage of how much increase, we must first know how much is the difference in the price of May with that of September.

That difference will represent how many $ increase the gallon

[tex]3.05-2.53=0.52[/tex]

We know that a $ 0.52 increase now we must calculate to what percentage of the initial price this value is equivalent to know in what percentage the price of May increased.

[tex]2.53 \longrightarrow 100\%\\0.52 \longrightarrow x\\x=\frac{(0.52)(100)}{2.53} \\x=20.6\%[/tex]

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

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.

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 

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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