Sandy uses three and one half pounds of clay to make 7 small vases. Use a proportion to find how many pounds of clay she will use to make 21 small vases.

7 and one fourth pounds
8 and one half pounds
10 and one half pounds
14 and one fourth pounds

Answer:greater

Step-by-step explanation:

Answer:

972 is greater than 792.

Answer:

x=-3/7

Step-by-step explanation:

Answer: 9d

Step-by-step explanation:

10d+d-2d = 9d

Answer:

axis of symmetry : x = 4

coordinates of the vertex : (4, 28)

Step-by-step explanation:

Before we start solving, let's define what the coefficients of this quadratic equation is.

[tex]y = ax^2 + bx + c[/tex]

[tex]y = -x^2 + 8x + 12[/tex]

a = -1

b = 8

c = 12

⭐What is the axis of symmetry?

To find the axis of symmetry, we need to find the x-coordinate of the vertex.

Equation for the x-coordinate of the vertex:

[tex]x = \frac{-b}{2a}[/tex]

Substitute the values of a, b, and c into this equation and compute.

[tex]x = \frac{-(8)}{2(-1)}[/tex]

[tex]x = \frac{-8}{-2}[/tex]

[tex]x = 4[/tex]

∴ The axis of symmetry is x = 4

⭐What is the vertex of a parabola?

To find the x-coordinate of the vertex, you can use the formula: [tex]x = \frac{-b}{2a}[/tex].

To find the y-coordinate of the vertex, substitute the x-coordinate of the vertex and compute.

x-coordinate: 4

y-coordinate:

[tex]y = -x^2 + 8x + 12[/tex]

[tex]y = -(4)^2 + 8(4) + 12[/tex]

[tex]y = -(16) + 32 + 12[/tex]

[tex]y = -16 + 44[/tex]

[tex]y = 28[/tex]

y-coordinate: 28

∴ The coordinates of the vertex is (4,28)

⭐if this response helped you, please mark it the "brainliest"!⭐

The total area of the Caribbean sea and the South Atlantic ocean is 4.299 × 10⁷ km². The correct option is the second option 4.299 × 10⁷ km²

From the question, we are to determine the total area of the water bodies.

From the given information

"The area of the Caribbean sea is 2.7182 × 10⁶ km²"

and

"The area of the South Atlantic ocean is 4.027 × 10⁷ km²"

To determine the total area, we will add  up the two areas

Total area = 2.7182 × 10⁶ km² + 4.027 × 10⁷ km²

Total area = 0.27182 × 10¹ × 10⁶ km² + 4.027 × 10⁷ km²

Total area = 0.27182 × 10⁷ km² + 4.027 × 10⁷ km²

Total area = 4.29882 × 10⁷ km²

Total area ≈ 4.299 × 10⁷ km²

Hence, the total area is 4.299 × 10⁷ km²

Learn more on Calculating total area here: https://brainly.com/question/29688434

#SPJ1

Answer:

Hence, the total area is 4.299 × 10⁷ km²

Step-by-step explanation:

Answer: None of these

Step-by-step explanation:

A. If [tex]x=-32[/tex], then [tex]y=745[/tex], not [tex]10[/tex].

B. If [tex]x=0[/tex], then [tex]y=9[/tex], not [tex]10[/tex].

C. If [tex]x=-1[/tex], then [tex]y=32[/tex], not [tex]1023[/tex].

D. If [tex]x=23[/tex], then [tex]y=-520[/tex], not [tex]10[/tex].

The law of sines uses only two sides and the angles that are opposite them, while the law of cosines uses all three sides and only one of the sides opposite an angle

An angle's cosine and sine are equal to each other, with the sine of an angle equal to the cosine of its complementary angle.

The law of cosines uses all three sides and only one of the sides that are opposite an angle, whereas the law of sines only uses two sides and the angles that are opposite them. The sine ratio is used by the law of sines, and the cosine ratio is used by the law of cosines.

Learn more about sines on:

https://brainly.com/question/19149891

#SPJ1

Complete question

What is the difference between the law of sines and the law of cosines

An increasing exponential function is modeled as follows:

A(t) = A(0)(1 + r)^t.

The parameters of the exponential function are given as follows:

She borrows 12,000 at 12% annual percentage rate, hence the initial value and the growth rate are given as follows:

A(0) = 12,000, r = 0.12.

Then the function that describes her loan is given as follows:

A(t) = 12000(1.12)^t.

After six years, the value of the loan is calculated as follows:

A(6) = 12000(1.12)^6 = $23,686.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

The college graduate's new net worth is given as follows:

$13,833.

The net worth of a company or of a person is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts of the person.

The assets if the student are given as follows:

The liabilities of the student are given as follows:

Thus the student's net worth is calculated as follows:

(10000 + 14278 + 4337 + 14950 + 11774) - (3250 + 5129 + 33097) = $13,863.

Which is closest to the third option among those given.

More can be learned about net worth at brainly.com/question/12371230

#SPJ1

Answer:

the correct answer is 12057

Step-by-step explanation:

in order to calculate net worth, add up the assets, and then subtract the debt. be sure to pay attention to details

heres an UNRELATED TO THE QUESTION example:

i have...

$500 in my savings

$20 in my wallet

but im $200 deep in credit card debt..

(add 500 + 20, then subtract 200)

net worth: 320

Answer:

d. Orthocenter

Step-by-step explanation:

⭐What is an orthocenter?

⭐What is an altitude?

We can see that point O is the point of concurrency of the altitudes of this given triangle because there are 90° formed by the perpendicular lines.

Thus, O is referred to as the orthocenter.

⭐if this response helped you, please mark it the "brainliest"!⭐

correct answer is a) 20.53 feet per second

John can ride his bicycle at a rate of 20.53 feet per second.

How do I calculate feet per second?

Multiplying your foot-per-minute speed by 60. This is how many seconds there are in a minute. Your speed in feet per second is the outcome. For instance, 88 feet per second is equal to 5,280 feet per minute divided by the 60 seconds in a minute.

How long is a second in feet?

One-degree of longitude equals 288,200 feet (54.6 miles), one minute equals 4,800 feet (0.91 mile), and one second equals 80 feet.

Is feet per second velocity?

A unit of velocity and speed (scalar) is the foot per second (plural feet per second) (vector quantity, which includes direction). It represents the traveled or displaced distance in feet (ft) divided by the time (in seconds) (s).

[tex]\frac{14 miles}{1 h}[/tex] × [tex]\frac{5280 ft}{1 mile}[/tex]= [tex]\frac{73920 ft}{1 hr}[/tex]

[tex]\frac{73920 ft}{1 hr}[/tex] × [tex]\frac{1 hr}{60 min}[/tex]= [tex]\frac{1232 ft}{1 min}[/tex] ×[tex]\frac{1 min}{60s}[/tex]= [tex]\frac{20.53ft}{1s}[/tex]

To know more about feet per second:

https://brainly.com/question/22593069

#SPJ1

Answer: (-1/7)x - 34 = 1/4

Step-by-step explanation: The solution for all other equations is 7 and for the 3rd equation, the solution is 239.75 or 959/4

1) 3/4 X +5=-1/4

x=-7

2) 1/2X - 3 = 1/2

x=7

3) x = -137×7 /4

4) x= -7

To know more about equations

https://brainly.com/question/2972832

The domain is set of all real numbers and the range is y ≥ -4

From the question, we have the following parameters that can be used in our computation:

The equation is given as

g(x) = |x + 4|

The domain

The above equation is an absolute value equation

An absolute value equation can take any value as its input

This means that the domain is the set of all real numbers

When represented as an interval, we have

The domain is (-∝, ∝)

Also, we have

-∝ < x < ∝

Hence, the domain is the set of all real numbers

The range

Here, we have

g(x) = |x + 4|

The above equation is an absolute value function

An absolute value function represented as

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-4, 0)

Remove the x value

y = -4

Because the leading coefficient is positive, then the vertex is a minimum

i.e.

[-4, ∝)

Another representation is

y ≥ -4

So, the range is y ≥ -4

Read more about domain and range at

brainly.com/question/13146216

#SPJ1

The ratio of the number of mowers that fail to the overall number of mowers is known as the fraction of mowers that fail the functional performance test. Consequently, 9/500 lawnmowers fail, then the probability of having x failures in the next 100 mowers is = [tex]0.018x[/tex]  

Probability of having x mower fail = 0.018x

Number of mowers that fail = 54

Total number of mowers = 3000

The probability of failure can be defined as,

=  [tex]\frac{Number of mowers that fail}{Total number of mowers}[/tex]

Fraction that failed = [tex]\frac{54}{3000}[/tex]

Fraction that failed = [tex]\frac{9}{500}[/tex]

Fraction that failed = 0.018

Therefore,

The ratio of the number of mowers that fail to the overall number of mowers is known as the fraction of mowers that fail the functional performance test. Consequently, 9/500 lawnmowers fail, then the probability of having x failures in the next 100 mowers is = [tex]0.018x[/tex]

To learn more about Probability visit :

brainly.com/question/14991482

#SPJ4

Step-by-step explanation:

it is the process of changing rows to columb

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

By solving a linear equation, it can be calculated that-

The two planes will be in the same altitude after 9 minutes at an altitude of 24300 feet

What is a linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, the linear equation is

Let the time taken by the airplane to meet the same altitude be t minutes

An airplane is preparing to land at an airport. It is 55800 feet above the ground and is descending at the rate of 3,500 feet per minute.

So altitude of the first airplane after t minutes = 55800 - 3500t

At the same​ airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute.

Altitude of second airplane = 2700t

By the problem,

The linear equation is

55800 - 3500t = 2700t

2700t + 3500t = 55800

6200t = 55800

t = 9 minutes

Altitude = 2700 [tex]\times[/tex] 9 = 24300 feet

To learn more about linear equation, refer to the link-

https://brainly.com/question/2030026

#SPJ1

Answer:

Step-by-step explanation:

You want equations of lines parallel and perpendicular to y = 2x -1 through the point (-7, 2).

The given equation is written in slope-intercept form:

  y = mx + b

where m = 2, and b = -1.

The slope of the line is m, the x-coefficient. For the given line, the slope is 2.

A parallel line will have the same slope: 2.

A perpendicular line will have the opposite reciprocal slope: -1/2.

When you have a point and slope, it is useful to use the point-slope form of the equation for a line:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For both of the desired lines, the point is (h, k) = (-7, 2). Using this point and the above slopes, we have ...

The answer to each part is -

        y = mx + c    

        where -

        [m] : slope of line
        [c] : y - intercept                    

Given is the graph of a straight line as shown.

[A] - A second equation for the system so it has infinitely many solutions can be the one that overlaps the line given. So the second equation can be written as follows. The points are -

(0, 4) and (4, 1)

Let the line be -

y = mx + c

m = (1 - 4)/(4 - 0) = -3/4

m = -3/4

So, the equation will be -

y = (-3/4)x + 4

[B] -

For no solution, the line will be parallel to the given line. The equation of the line is → y = (-3/4)x + 4. The equation whose graph goes through (0, 1) so the system has no solutions as : y = (-3/4)x + 1.

Therefore, the answer to each part is -

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

Answer:

a. [tex]\frac{x+2}{x+6}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + 5x+6}{x^2 +9x+18}=\frac{(x+2)(x+3)}{(x+3)(x+6)}=\frac{x+2}{x+6}[/tex]

The total number of hours Mayerlin worked is 21 and (g + n) respectively.

One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. When two whole numbers are added, the sum or total of those values is obtained.

Given that, Mayerlin gets paid $20 per hour to work at the grocery store and $19 per hour to work at the nursery.

Since Mayerlin works 11 hours at the grocery store and 10 hours at the nursery, the total number of hours she worked is:

11 + 10

= 21

Now, if, Mayerline works g hours at the grocery store and n hours at the nursery, the total number of hours she worked is:

g + n

Hence, the total number of hours Mayerlin worked is 21 and (g + n) respectively.

Learn more about the addition:

https://brainly.com/question/29034036

#SPJ1

Using the given data, the number of suspects is; 7

The union of two sets A and B is the set of all those elements which are either in A or in B, and which is denoted as A ∪ B.

However, the intersection of two sets A and B is defined as the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B.

Now, we are told that;

Total number of people in the office = 30 people

Number of people wearing a white button down shirts = 22

Number of people wearing black pants = 16

Number of people wearing a multicolored tie = 7

Thus, by definition of intersection of sets, if the suspect was wearing black pants, a white button-down shirt, and a multicolored tie, then;

The number of suspects =  A ∩ B ∩ C = 7 people

Read more about Mathematical sets at; https://brainly.com/question/13458417

#SPJ1

Answer:

1 -  $15

2-  $30

3 - $45

4 - $60

Step-by-step explanation:

$15/hour

1 -  $15 =1*15

2-  $30 =2*15

3 - $45 =3*15

4 - $60=4*15

Answer:

You could pick as many as you like. Ideally you would use all the leaves on the tree, but that would be rather a large number to measure, and your parents might not be very happy if you stripped the tree bare!So let's try 100 leaves.How to get a random sample?Here is one way you could get a random sample:Try taking all the leaves on one branch of the tree. After you've discarded any that are broken, then see how many there are. If there are less than 100, then get the leaves from another branch until you have more than 100. Then write a different number (starting with 1) on each leaf with a marking pen.Write the same numbers on small pieces of paper.Fold the pieces of paper.Put them into a hat and mix them up.Draw 100 pieces of paper (without looking) from the hat. The first 100 pieces of paper you draw would give you the numbers of the leaves to use in the experiment.The next thing you need to decide is how to measure the leaves, andhow accurate your measurements should be:How to measure?Keeping your leaves flat, use a ruler to measure the length of each leaf from the pointy part at one end of the leaf to the point where the leaf joins the stalk at the other end. Maybe your leaves bend a bit, but don't follow the main rib of the leaf as this would make measurement too difficult.Just measure in a straight line as shown in the following diagram:leafHow accurate?You should measure the length of each leaf to the nearest millimeter.Now you're ready to begin.Measure the length of each leaf to the nearest millimeter and record you results in a table, as follows:

Step-by-step explanation:

The equation is log_2 (3x - 5) = 9 There are no real solutions to this equation because the logarithm of a negative number is undefined. The left side of the equation would require the argument to be negative, thus making the equation impossible to solve.

This equation cannot be solved because the logarithm of a negative number is undefined. The left side of the equation is of the form log_2 (N), where N is some real number.For the equation to have any real solutions, N needs to be greater than 0. However, in this equation, N is equal to 3x - 5, which can be negative for certain values of x. This means that there is no real number x that can be substituted into the equation to make it true, since the logarithm of a negative number is not defined. Therefore, this equation has no real solutions.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

The number of bears living in the area after 17 years is; 22555

We are given the function;

f(t) = 103/(1 + 26e^(-0.31t))

Where f(t) is a function that models the number of bears living in the area after t period of years.

Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;

f(17) = 103/(1 + 26e^(-0.31*17))

f(17) = 103/0.00456653759

f(17) ≈ 22555 bears

Read more about Exponential functions at; https://brainly.com/question/2456547

#SPJ1

The total cost of the rental if Dana drives the car for 15 miles is $90.2

From the question, we have the following parameters that can be used in our computation:

C = 73.25 + 1.13m

Where

m = number of miles

This means that

m = 15

SO, we have the following equation

C = 73.25 + 1.13 * 15

Evaluate

C = 90.2

Hence, the total cost is $90.2

Read more about linear equation at

https://brainly.com/question/4074386

#SPJ1

"Dana and her family are going to Six Flags Great America the sum- mer after her Sophomore year. She is excited, because she will be doing all driving: After doing some complicated analysis, she calcu; lates that it will cost a certain amount per mile to pick up everyone and drive to the park, plus flat amount for everyone's admission tickets. The equation below models the total cost, €,and the variable m represents the number of miles driven: C = 73.25 + 1.13m

The mean absolute deviation of the given numbers is 0.5.

The mean is the sum of all values divided by the total number of values.

The mean of the given number is obtained by dividing the sum of the values by its total number of value.

i.e.  (1.6+1.7+2.5+2.8+2.8+3)/6 = 2.4

Then taking the difference of each number from the mean.

i.e. (1.6-2.4), (1.7-2.4),(2.5-2.4),(2.8-2.4),(2.8-2.4),(3-2.4)

i.e. -0.8,-0.7,0.1,0.4,0.4,0.6

Take the sum of the absolute value of the above numbers

i.e. |-0.8+-0.7+0.1+0.4+0.4+0.6| = 3

Divide 3 by 6 to obtain mean absolute deviation.

i.e 3/6 = 1/2 =0.5

Hence, 0.5 is the mean absolute deviation of the given numbers.

To learn more about mean, use the link given below:

https://brainly.com/question/521501

#SPJ1

The calculation that will give the closest estimate of the sales of soft drinks and hot dogs is 360 * 2 + 220  * 2

From the question, we have the following parameters that can be used in our computation:

Time = one week

Number of cans = 362

Unit price of soft drink = $1.75

Number of hot dogs = 221

Unit price of hot dogs = $2.35

The calculation that will give the closest estimate is represented as

Estimate = Number of cans * Unit price of soft drink + Number of hot dogs * Unit price of hot dogs

Substitute the known values in the above equation, so, we have the following representation

Estimate = 362 * 1.75 + 221  *2.35

Approximate

Estimate = 360 * 2 + 220  * 2

Hence, the expression is 360 * 2 + 220  * 2

Read more about estimates at

https://brainly.com/question/372299

#SPJ1

the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

2x + 3y + 4z = 30

3x + 4y + 5z = 45

5x + 6y + 7z = 75

The first equation is 2x + 3y + 4z = 30. The coefficients for the variables are 2, 3 and 4 which are all non-zero, meaning that this equation has a unique solution.

The second equation is 3x + 4y + 5z = 45. The coefficients for the variables are 3, 4 and 5 which are all non-zero, meaning that this equation also has a unique solution.

The third equation is 5x + 6y + 7z = 75. The coefficients for the variables are 5, 6 and 7 which are all non-zero, meaning that this equation also has a unique solution.

Therefore, the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

Learn more about linear equation here

https://brainly.com/question/11897796

#SPJ4