During one waiter's shift, he delivered 13 appetizers, 17 entrees, and 10 desserts. What percentage of the dishes he delivered were:
A. desserts?



B. appetizers?



C. entrees?

The population of the town is given by the following formula:

Where p is the population and t is the number of years. Make p equal to 100000 and solve the equation for t:

The output will reach 100,000 after 16 years.

Answer:

Can you please send the picture of the graph

Step-by-step explanation:

Based on the calculations, the value of f(x) when x is equal to 3 is: D. 19.

A function is a mathematical expression which can be used to define and represent the relationship that exist between two or more variable.

Given the following function:

f(x) = 2x² + 1

In order to determine the value of f(x) when x is equal to 3, we would substitute the value of x into the given function as follows:

f(3) = 2(3)² + 1

f(3) = 2(9) + 1

f(3) = 18 + 1

f(3) = 19.

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Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.

Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.

Chloe can travel 4.4 miles less than Jin on one gallon of gas.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

Chloe travels 93 miles on 5 gallons of gas, hence the constant is given as follows:

k = 93/5

k = 18.6 miles per gallon.

Jin's ratio is of 23 miles per gallon, hence he can travel more and the difference is given as follows:

23 - 18.6 = 4.4 miles per gallon.

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Answer:

The cost per printer is $240 and the cost per computer is $530

Explanation:

Make the equation from both parts of the problem and solve them.

Answer:

5

Step-by-step explanation:

The amplitude is the height from the center line to the peak

Answer:

i would say c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

Answer: 0.02232142857 ≈ 0.02

Step-by-step explanation:

Answer:

M=(0.75,1.25)

H=(-1.5,-0.5)

D=(1,-1.75)

Step-by-step explanation:

Hope this helps.

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

Answer:

-6x-42

Step-by-step explanation:

Open parenthesis.

-42-6x is what you get once opened.

Answer:

6x−42

Step-by-step explanation:

The x-intercept is (-8, 0)

The y-intercept is (0, 3 1/5)

Given the equation:

-2x + 5y = 16

To find the x-intercept, set y = 0

-2x + 5(0) = 16

-2x = 16

x = -16/2 = -8

The x-intercept is (-8, 0)

To find the y-intercept, set x = 0

-2(0) + 5y = 16

5y = 16

y = 16/5 = 3 1/5

The y-intercept is (0, 3 1/5)

Answer:

Step-by-step explanation:

To solve this problem, you need to determine the volume of the prism.

Volume of the prism formula:

\(\Longrightarrow: \sf{V=L*W*H}\)

Multiply them all together.

\(\sf{8*15.2*5.8=\boxed{\sf{705.3}}\)

I hope this helps. Let me know if you have any questions.

Answer:

Option D, \(705.3\ cm^3\)

Step-by-step explanation:

Step 1:  Determine the volume of a rectangular prism

\(V = l * w * h\)

\(V = (15.2\ cm) * (8\ cm) * (5.8\ cm)\)

\(V = 705.28\ cm^3\)

Answer:  Option D, \(705.3\ cm^3\)

Answer:

The maximal area will be "1093.5 square feet".

Step-by-step explanation:

Let,

Length = L feet

Breadth = b feet

Given Total fencing = 162 feet

According to the question,

 \((2\times L)+(3\times b)=162\)

              \(2L+3B=162\)

                         \(L=\frac{162-3b}{2}\)

                         \(L=81-\frac{3}{2}b\)

As we know,

 \(Area=Length\times breadth\)

          \(=(81-\frac{3}{2}b)\times b\)

          \(=81b-\frac{3}{2}b^2\)

Now, we required to decrease or minimize the are. So for extreme points:

 \(\frac{dA}{db}=0\)

or,

 \(\frac{dA}{dB}=\frac{d}{db}(81-\frac{3}{2}b^2 )=0\)

       \(81-\frac{3}{2}\times 2\times b=0\)

                            \(b=\frac{81}{3}\)

                            \(b=27 \ feet\)

Now on putting the value of b, we get

 \(l=81-\frac{3}{2}\times 27\)

   \(=81-40.5\)

   \(=40.5 \ feet\\\)

So that the dimensions will be:

⇒  40.5 feet by 27 feet

Therefore when the dimension are above then the area will be:

=  \(81\times 27-\frac{3}{2}\times 27\times 27\)

=  \(2187-\frac{3}{2}\times 729\)

=  \(2187-1093.5\)

=  \(1093.5 \ square \ feet\)

¡Hola! 0.1 (también escrito como 0.10) como fracción es 1/10 or \(\frac{1}{10}\). ¡Espero que esto te ayude! Buena suerte y que tengas un gran día / noche. ❤️✨

Miles is the number of miles Martin has run, and Total Time is the total time in minutes that he has been running, which is 11Miles + 5.

To create a linear model, we need to find the equation of the line that best fits the data.

We can do this by finding the slope and y-intercept of the line.
First, we need to find the slope, which is the change in y divided by the change in x.

We can choose any two points on the line to calculate the slope.

Let's use the first and second data points:
Slope = (y2 - y1) / (x2 - x1)
Slope = (104 - 60) / (9 - 5)
Slope = 44 / 4
Slope = 11
Now we can use the point-slope form of the equation of a line to find the y-intercept.

We can use the first data point:
The linear model has the form y = mx + b, where y represents the total time (in minutes), x represents the miles run, m is the slope, and b is the y-intercept.

We can use the data points to find the slope (m) as follows: m = (change in total time) / (change in miles)

Using the first two data points, (5, 60) and (9, 104):

m = (104 - 60) / (9 - 5) = 44 / 4 = 11

Now that we have the slope, we can find the y-intercept (b) using one of the data points.

Let's use (5, 60): 60 = 11 * 5 + b 60 = 55 + b b = 5

So the linear model representing Martin's pace is: y = 11x + 5 In this model, x is the miles run, and y is the total time in minutes.
y - y1 = m(x - x1)
y - 60 = 11(x - 5)
y - 60 = 11x - 55
y = 11x + 5
So the linear model that shows the miles Martin has run as the input, and the total time, in minutes, he has been running as the output is
Total Time = 11Miles + 5

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In the given figure,

There are non-parallel lines,

Hence these angles are formed by the non-parallel lines.

This means they do not have any relation, i.e., they are not necessarily congruent to each other.

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In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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Answer:

you would add a /1 under the 7 so it would be 7/1

Step-by-step explanation:

Answer:

84/12

Step-by-step explanation:

since 7 is a whole, you need to make it a improper fraction so its easier to subtract. We need to do this by making sure the denominator stays the same which is 12.Then do 7x12. you get 84, so 84/12. Then its easier to solve.

The test statistics based on the information given will be 0.238.

Population mean = 28.3

Sample mean = 28.2

Standard deviation = 4

Sample size = 90

In this case, the z test will be used since the standard deviation is known. This will be:

= (28.2 - 28.3)/4/✓90

= -0.1/(4/9.48)

= -0.1/0.42

= -0.238

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Answer:

A) P(chooses a blue pencil and then a red pencil) = 5/27

B) P(chooses yellow then blue) = 5/81

Step-by-step explanation:

She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack

Thus;

total number of pencils = 3 + 5 + 1 = 9 pencils

A) probability that she chooses a blue pencil and then a red pencil;

P(blue) = 5/9

Now she puts it bag after choosing which means the sum is back to 8 pencils.

Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3

Thus;

P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3

P(chooses a blue pencil and then a red pencil) = 5/27

B) probability that Chloe chooses the yellow pencil and then a blue pencil;

Similar to A above;

P(yellow) = 1/9

P(blue) = 5/9

P(chooses yellow then blue) = 1/9 × 5/9

P(chooses yellow then blue) = 5/81

Answer:-4-5

Step-by-step explanation:

Answer:

f(–3) = –5

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The linear function through the points (-9,-9) and (-6,0) is given as follows:

y = 3x + 18.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

Considering the two points, we have that when x increases by 3, y increases by 9, hence the slope m is given as follows:

m = 9/3.

m = 3.

Hence:

y = 3x + b.

When x = -6, y = 0, hence the intercept b is given as follows:

0 = 3(-6) + b

b = 18.

Hence the equation is:

y = 3x + 18.

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Answer:

m = 2

Step-by-step explanation:

To find the slope, simply use this equation:

m = y2 - y1 / x2 - x1

Now we need to insert some points:

m = 10 - 0 / 11 - 6

m = 10/5

m = 2

Therefore, the slope of the line is 2.

Answer:

x = 3 and y = 2

Step-by-step explanation:

We can plug in the numbers. 2 x 3 is 6, and 3 x 2 is 6. 6 + 6 is 12. So, x is 3 and y is 2.

Answer: 11,295,063

Step-by-step explanation:

Answer:

idek but try ( C)

Step-by-step explanation:

But i can be wrong lol