Which is a better buy?

28-cup gallon of fabric softener for $38.36

3-gallon bottle of fabric softener for $54.72

The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle

The given equation is

4x² + 9xy + 4y² - 36y - 125 =0

The above equation is an illustration of a circle equation

The standard form of a circle equation is

(x - a)² + (y - b)² = r²

Where

(a, b) is the center

r is the radius

While the general form of the equation is

ax² + fx + by² + gy + c =0

Where c is a constant

Recall that, we have

4x² + 9x + 4y² - 36y - 125 =0

This is the general form

We can convert to the standard form as follows

Divide through by 4

x² + 2.25x + y² - 9y - 31.25 =0

Next, we complete the square of the x-terms and the y-terms

For the x-terms, we have

x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²

x² + 2.25x = (x + 2.25/2)² - (2.25/2)²

For the y-terms, we have

y² - 9y = y² - 9y + (9/2)² - (9/2)²

y² - 9y = (y - 9/2)² - (9/2)²

Substitute the new x and y terms

So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes

(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0

Evaluate the sum of like terms

(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0

So, we have

(x + 9/8)² + (y - 9/2)² = 3377/64

Using the above as a guide, we can conclude that the conic section of the equation is a circle

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Answer: B.792

Step-by-step explanation:

1.1. Given any negative real number s, the cube root of s is negative.

1.2. For any real number s, if s is negative, then the cube root of s is negative.

1.3. If a real number s is negative, then the cube root of s is negative.

The cube root of a real number can be either positive or negative, depending upon the sign of the original number. If the original number is positive, then the cube root can be either positive or negative.

If the original number is negative, then the cube root must and should be negative. This is because multiplying any negative number by itself three times will result in a negative number.

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Answer: y = 0.4x

In fraction form, this is y = (2/5)x

================================================

Explanation:

For each row, divide the y over x values

We end up with the same thing each time.

Since y/x = 0.4, this rearranges to y = 0.4x

Alternatively, you can write the equation as y = (2/5)x because 2/5 = 0.4

Answer: 8

Step-by-step explanation:

12 bran muffins in 1 Cup so for 2/3 it is

2/3*12 = 8

To describe the center of the data, we can use either the mean or the median.

To describe the variation of the data, we can use either the range or the interquartile range (IQR).

Looking at the dot plot, it seems that the data is somewhat skewed to the right, with a few high-priced outliers. In this case, the median and the IQR may be more appropriate measures of the center and variation, respectively, as they are less sensitive to outliers.

To find the median and IQR:

Arrange the data in order from smallest to largest.

Find the median, which is the middle value. If there are an even number of values, take the average of the two middle values.

Find the first quartile, which is the median of the lower half of the data.

Find the third quartile, which is the median of the upper half of the data.

Calculate the IQR as the difference between the third quartile and the first quartile.

Here are the steps applied to the dot plot:

We can see that the smallest value is about 20 and the largest value is about 120, giving a range of 100 dollars.

The median is approximately 60 dollars, as it is the middle value between the 11th and 12th data points when the data is arranged in order.

The first quartile is approximately 40 dollars, as it isthe median of the lower half of the data points, which are found below the median.

The third quartile is approximately 80 dollars, as it is the median of the upper half of the data points, which are found above the median.

The IQR can be calculated as the difference between the third quartile and the first quartile, which is approximately 40 dollars.

Therefore, the most appropriate measures to describe the center and the variation for this data set are the median and the interquartile range (IQR), respectively. The median is approximately 60 dollars, and the IQR is approximately 40 dollars.

Answer:

54

Step-by-step explanation:

I'm assuming the equation looks like this: 15x - 6

15*4 - 6

60 - 6

54

OR if it's just x-6 then the answer is -2

Hope this is what you were asking, have a nice day! :)

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Step-by-step explanation:

Slope-intercept form: y = mx + c.

3x - 2y = 7

=> 2y = 3x - 7

=> y = 1.5x - 3.5.

Answer:

16 is 40% of 40

Step-by-step explanation:

16 = 40% x Y

16 = 40/100 x Y

y=3 x 100/40

y=40

Answer:

y= -2x +1

Step-by-step explanation:

slope- intercept form:

y= mx +c, where m us the gradient and c is the y-intercept.

Let's find the value of m first using the gradient formula.

Gradient= \( \frac{y1 - y2}{x1 - x2} \)

\(m = \frac{ - 3 - 3}{2 - ( - 1)} \\ m = \frac{ - 6}{2 + 1} \\ m = \frac{ - 6}{3} \\ m = - 2\)

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -1, y=3,

3= -2(-1) +c

3= 2 +c

c= 3 -2

c= 1

Thus the equation of the line is y= -2x +1.

Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

The area of this regular polygon is 46.8 square units

The given parameters are:

Perimeter, p = 54 m

Apothem, a = √3

The area of this regular polygon is then calculated as:

Area = 0.5 * Apothem * Perimeter

Substitute the known values in the above equation

Area = 0.5 * √3 *  54

Evaluate the product

Area = 46.8

Hence, the area of this regular polygon is 46.8 square units

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x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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Answer:

all real numbers

Step-by-step explanation:

if you subtract x from both sides, you get x=x. This is true for basically any number

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Answer:

Length=17

width=13

Step-by-step explanation:

W=width

L=length

Perimeter = 2w+2l since it's a rectangle

W=l-4 (given)

Plug into perimeter equation

Perimeter =(2l-8)+2l

=4l-8

60=4l-8

68=4l

17 =l

W=l-4=17-4=13

Answer:

26 in 52 weeks

Step-by-step explanation:

Is she gets 6 in 12 weeks that means she gets 1 in 2 weeks.

52 weeks/ 2 weeks (when she gets paid) = 26

Step-by-step explanation:

n = 7

hope it helps!

......

Answer: the solution is \(n=\frac{51}{11} \\\\\\n=4\frac{7}{11} \\\\n=4.63\)

i gave you the decimal and improper fraction

Step-by-step explanation:

Mutiply both sides by 28

7(n-3)+4(n-5)=10

distribute the 7

7n-21+4(n-5)=10

distribute the 4

7n-21+4n-20=10

combine like terms

11n-21-20=10

11n-41=10

11n-51

n=51/11

Answer:

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program. ​

Step-by-step explanation:

An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075

Considering the GMAT score x, and the GPA y, this situation is modeled by the following inequality:

\(x + 100y \geq 1075\)

Robbin's GMAT score was 800.

This means that \(x = 800\), and thus:

\(x + 100y \geq 1075\)

\(800 + 100y \geq 1075\)

\(100y \geq 275\)

What must her grade point average be in order to be unconditionally accepted into the​ program?

Solving the above inequality for y:

\(100y \geq 275\)

\(y \geq \frac{275}{100}\)

\(y \geq 2.75\)

Thus:

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program. ​

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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a. The meaning of the variables are:

b. Evaluating 2w-60 when w =140. d = 220 mg

c.  Evaluate 2w-60 when w= 175, d = 290 mg

d. Evaluate 2w-60 when w = 25. d = -10 mg

e. Evaluate 2w-60 when d = 260 mg

Given data

d=2w-60

where:

w = weight

d = dosage

a. label the meaning of the variables

w = weight

d = dosage

b. Evaluate 2w-60 when w = 140,

d=2w-60

d = 2 * 140 - 60

d = 220

c.  Evaluate 2w-60 when w= 175

d=2w-60

d = 2 * 175 - 60

d = 290

This means that for a weight of 175 pounds the dosage is 290 mg

d. Evaluate 2w-60 when w = 25

d=2w-60

d = 2 * 25 - 60

d = -10

Explanation: This means the drug is not recommended for patients weighing 25

e. Evaluate 2w-60 when d = 260

260 = 2w - 60

2w = 260 + 60

2w = 320

w = 160

At the time of prescription the patient was weighing 160 pounds

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Let the cost of 7 pencils be 'x' & the cost of 10 pencils be (7x + 15)/10

According to the Question,

⇒(7x + 15)/10 = x

⇒7x + 15 = x × 10

⇒7x + 15 = 10x

⇒7x - 10x = 15

⇒3x = 15

⇒x = 15/3

⇒x = 5

Answer:

1. Because they are the same shape just that one is bigger.

2. Figure B is 3 times bigger than Figure A. Multiply Figure A by three.

3. Figure A is 3 times smaller than Figure B. Divide Figure B by three.

Answer:

x equal 20  Step-by-step explanation:

H equal 58          I equal 71          J equal 51                                                                                     we will just simply the equation you wrote

Answer:

7/18

Step-by-step explanation:

Answer:

\(\frac{2}{7}\)

Step-by-step explanation:

Let x represent the unknown number.  

x ÷ \(\frac{1}{3}\) = \(\frac{6}{7}\)

To solve, we must multiply \(\frac{1}{3}\) by \(\frac{6}{7}\) .

\(\frac{1}{3}\) * \(\frac{6}{7}\) = \(\frac{2}{7}\)

So, x = \(\frac{2}{7}\)

Therefore, \(\frac{2}{7}\) divided by \(\frac{1}{3}\) equals \(\frac{6}{7}\).

I would appreciate brainliest, but if not that's ok!

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Answer:

-(22) = -22

When there is no number given but a sign given in front of the brackets it means there is 1.

-(22) is the same as -1(22) = -22

Hope this helps, thank you :) !!

Answer:

90002

Step-by-step explanation:

because 72+ 826+288 is 90002