Every week, Mr. Kirkson uses 316 gallon of water to water every 13 square foot of his garden.How many gallons of water does Mr. Kirkson use per square foot to water his garden each week?

Enter your answer in the box as a fraction in simplest form.

Answer:

Perimeter = 4L = 4(2x+3y) = 8x+12y

Step-by-step explanation:

Given:

square with area A(x,y) = 4x^2+12xy+9y^2

Find perimeter.

A(x,y) = (2x+3y)^2

Length of each side

L = sqrt( A(x,y) ) = sqrt((2x+3y)^2) = 2x+3y

Perimeter = 4L = 4(2x+3y) = 8x+12y

The mixed number 5 1/6 can be converted into a rational number. This is done by multiplying the whole number by the denominator, adding the numerator, and then placing this value over the denominator. Thus, 5 1/6 as a rational number is 31/6.

The number 5 1/6 is a mixed number. You can convert it to a rational number, which is a number that can be expressed as a quotient or division of two integers. A rational number is represented by 'p/q' where p and q are integers and q is not equal to 0.

To convert 5 1/6 into a rational number, you would first multiply the whole number (5) by the denominator of the fraction (6), then add the numerator of the fraction (1). This gives you the new numerator. The denominator remains 6. The calculation would look like this: (5×6 + 1)/6 = 31/6.

So, 5 1/6 as a rational number is 31/6.

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Answer:

2

Step-by-step explanation:

on algebra nation, it would be B

Specific mathematical expressions are needed to determine which has an estimated product of 60, for instance, combinations like 10 times 6 or 15 times 4.

The question relates to estimating the product of numerical expressions to determine which one is closest to 60. However, the provided information contains unrelated data and does not present clear mathematical expressions that we can evaluate to find an estimated product of 60. Thus, to accurately answer this question, we would need specific expressions to consider. In general, an expression likely to have an estimated product of 60 would be the multiplication of two numbers whose product is close to 60. For instance, numbers like 10 and 6 or 15 and 4 could be suitable factors in such expressions.

Answer:

m=-2

b=2  

Equation in Slope-Intercept Form: y= -2x+2

Step-by-step explanation:

The slope-intercept form, y = mx + b of the given line will be y = -2x + 2.

A line section that can connect two places is referred to as a segment.

The slope of a line is tan of the angle from the positive x-axis.

In other words, the slope is just the intensity of inclination of any curve at a point for example x = sinx has 0 inclination at x = 0.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that the points are  (–3, 8) and (4, –6).

Slope m = difference in y coordinate/difference in x coordinate

m = (-6 - 8)/(4 +3 ) = -2

So our equation will be

y = -2x + n

Now for b put  (4, –6) than

n = 2 so

The equation will be y = -2x +2 hence it will be the correct answer.

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Answer:

He sold the house for $325,120.

Step-by-step explanation:

A realtor earns a 3.25% commission on the sale of each house.

He earned his commission on a house sell = $10,566.40

Let the price on which he sold a house be 'p'

Therefore, 3.25% × p = $10,566.40

0.0325 × p = 10566.40

p = [tex]\frac{10,566.40}{0.0325}[/tex]

p = $325,120

He sold the house for $325,120.

18x = $234 equation help  Susan to find the price of each wreath, which is equals to $13.

" Linear equation in one variable is mathematical expression of writing an equation in which highest degree of the variable is one."

According to the question,

Amount raised by Susan = $234

Number of wreaths =18

'x' represents the price of each wreath .

As per the condition given , linear equation we get,

18x = $234

⇒x = 234 / 18

     =  $13

Hence, 18x = $234 equation help  Susan to find the price of each wreath, which is equals to $13.

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The equation -2/3 - (-1 1/3) simplifies to -2/3 + 4/3, which ultimately equals 2/3. To solve this, we convert mixed numbers to improper fractions and add, since subtracting a negative is the same as adding a positive. The correct option is B.

To solve the equation -2/3 - (-1 1/3), we need to subtract a negative number, which is the same as adding its positive equivalent. First, convert the mixed number -1 1/3 to an improper fraction. Since 1 is equal to 3/3, -1 1/3 is the same as -1 - 1/3, or -3/3 - 1/3, which simplifies to -4/3. Now we have -2/3 - (-4/3), which is the same as -2/3 + 4/3. Combining these fractions gives us 2/3, which is the positive solution to the equation.

Answer:

taken

Step-by-step explanation:

Answer:

Step-by-step explanation:

The graph is a straight line.

The line does not pass through the origin.  

The y-intercept of the line is 2.

Final answer:

The ratio of dented ping-pong balls to the total number of ping-pong balls is 28/52. The ratio of Tess' height to Wendy's height is 8/9. Ben has 19 marbles.

Explanation:

Question 1:

To find the ratio of dented ping-pong balls to the total number of ping-pong balls, you need to add the number of dented balls before and after adding 12 more dented balls.

Given that there are initially 16 dented balls in a total of 40 balls, the ratio is 16/40.

After adding 12 more dented balls, the total number of dented balls becomes 16 + 12 = 28.

The total number of ping-pong balls is 40 + 12 = 52.

Therefore, the ratio of dented balls to the total number of balls is 28/52.

Question 2:

Let's assign variables for the heights of Sasha, Tess, and Wendy.

Let the height of Sasha be 3x.

Since the ratio of Sasha's height to Tess's height is 3:4, the height of Tess can be represented as 4x.

Wendy is 30cm taller than Tess, so Wendy's height is (4x + 30).

The total height of the three friends is 470cm, so we can write the equation 3x + 4x + (4x + 30) = 470.

Simplifying the equation gives us 11x + 30 = 470, and solving for x gives us x = 40.

Therefore, the ratio of Tess's height to Wendy's height is 4x/(4x + 30) = 4*40/(4*40 + 30) = 160/190 = 8/9.

Question 3:

Let's assign variables for the number of marbles Josh, Ben, and Rick have.

Let the number of marbles Josh has be x.

Since the ratio of Josh's marbles to Rick's marbles is 1:2, the number of marbles Rick has is 2x.

Ben has 15 fewer marbles than Rick, so Ben has (2x - 15) marbles.

These three quantities sum up to 70, so we can write the equation x + 2x + (2x - 15) = 70.

Simplifying the equation gives us 5x - 15 = 70, and solving for x gives us x = 17.

Therefore, Ben has 2x - 15 = 2*17 - 15 = 19 marbles.

The total of students in 11th and 12th grade is 30% + 10% = 40% of the students at the school.

The total of students in the 9th and 10th grade is 20% + 40% = 60% of the students at the school.

The difference between the groups is 60% - 40% = 20% of the students at the school. That difference is 100 students, so 20% of the student body is 100 students. Multiplying by 5 tells us 100% of the student body is 500 students.