Find an equation in slope interact form of the number of pizzas sold as a function of time for Mario's

Answers

Answer 1

Answer:

[tex]y = 3x+7[/tex]

Step-by-step explanation:

Given

See attachment for Mario's pizza table

Required

Determine the equation in slope intercept form

First, we calculate the slope of the table using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have:

[tex](x_1,y_1) = (3,16)[/tex]

[tex](x_2,y_2) = (5,22)[/tex]

So, the slope is:

[tex]m = \frac{22 - 16}{5 - 3}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (3,16)[/tex]

[tex]m =3[/tex]

So:

[tex]y = 3(x - 3) + 16[/tex]

Open bracket

[tex]y = 3x - 9 + 16[/tex]

[tex]y = 3x+7[/tex]

Find An Equation In Slope Interact Form Of The Number Of Pizzas Sold As A Function Of Time For Mario's

Related Questions

The sum of two consecutive odd numbers is 20 and their difference is 2. Find the two numbers​

Answers

Answer:

9 and 11

Step-by-step explanation:

let the consecutive odd numbers be n and n + 2, then

n + n + 2 = 20

2n + 2 = 20 ( subtract 2 from both sides )

2n = 18 ( divide both sides by 2 )

n = 9 and n + 2 = 9 + 2 = 11

The 2 numbers are 9 and 11

The table shows the gallons of fuel remaining after a car

travels a certain distance in miles

Distance

(miles)

Fuel Remaining

(gallons)

The change in fuel remaining from one row to the next

in the table is gallon(s)

The change in distance from one row to the next in the

table is

mile(s)

The slope of the line that runs through the points given

in the table is

The slope indicates a

13. 50

13. 46

13. 42

3

13. 38

13. 34

5

13. 30

Answers

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile

what is slope ?

The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).

given

It is evident that with each additional row, the distance is increased by one mile and the fuel level is altered.

From one row to the next in the table, the amount of fuel left changes by -0.04 gallons.

The distance in the table that changes from one row to the next is 1 mile.

The slope is the pace at which the amount of fuel left changes in relation to the change in distance.

The line that passes through the places listed in the table has a slope of -0.04 degrees.

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile.

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-6/7 on a coordinate plane ( I need 3 ordered pair if so pls help)

Answers

-6,7 is in 2nd Quadrant of a coordinate plane because the coordinate of x is negative integer and the coordinate of y is positive integers.

What is coordinate?

It is possible to find any point in a 2D plane or 3D space using coordinates, which are ordered pairs of points. We may have observed the use of grids in mathematics. We can plot any point using these grids and its coordinates.

Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.

The X-axis is the horizontal axis and the Y-axis is the vertical axis of a coordinate plane, which has four quadrants.

To plot -6, 7 point on coordinate first we find the point -6 on the left side of plane on x axis. the we go upward and find point y=7 parallel to y axis.

this point is -6,7.

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I need help on solving this

Answers

Answer:

Irrational

Step-by-step explanation:

it equals 6.7 which is not a perfect square

Help me quickly! NO LINKS!!!!

Answers

Answer:

180 - 110 = 70

<DBC = 70

Answer: 70.............

a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes
pls help explanation required

Answers

Answer:

$68

Step-by-step explanation:

Let x = original price.

The sale price is 75% of the original price, so the sale price is 75% of x.

75% as a decimal is 75/100 = 0.75

75% of is the same as 0.75x

We are told the sale price is $51, so 0.75x must equal $51.

0.75x = 51

Divide both sides by 0.75 to find the value of x.

x = 51/0.75

x = 68

Answer: $68

Answer:

Step-by-step explanation:

$51 is 75% of 100%

75% = 3/4

51 / 3 = 17

17 = 1/4

51 + 17 = 68

$68 is the original price of the shoes

Rose and Andrew are financing $128,000 to purchase a condominium. They obtained a 15-year, fixed-rate loan with a rate of 5. 5%. They have been given the option of purchasing up to four points to lower their rate to 4. 81%. How much will the four points cost them?

Answers

The cost of the four points will be $8296.8496

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

$ 128,000 is the amount financed (P).

t = 15 years

The interest rate equals 5.05%.

Amount after 15 years equals,

A = [tex]P(1+\frac{r}{100}[/tex]

=128,000[tex](1+\frac{5.05}{100} )^{15}[/tex]

=268009

Rose and Andrew has taken four points to lower their rate to 4.81% .

A =128,000 [tex](1+\frac{4.81}{100} )^{15}[/tex]

A = 259,713

Cost of four points = 268,009.890 - 259,713.040  = $8296.8496

Hence, the cost of the four points will be $8296.8496

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HELP DUE IN 15 MINS!

Assume that any lines that appear to be tangent are tangent.

x=??

Answers

Answer:

65

Step-by-step explanation:

arc TS = 360 - 90 - 150

Arc TS = 120

The central angle is also 120

x is 1/2 of the central angle

x = 1/2 * 120

x = 60

Use a calculator to find cos 149° rounded to the nearest hundredth. Identify the angle of depression

Answers

The value of cos 149 degree as calculated from the calculator is found out to be -0.857167301.

Which on round off is , -0.85.

The formula to calculate the angle of depression is , θ = tan-1 (Opposite Side/Adjacent Side) .

Therefore, the AOD for cos149 degree is found out to be as ,

α = arctan(vertical distance / horizontal distance)

α = arctan(10 / 11.998)

α = arctan(0.83347224537423)

α = 0.69482025147278 ° ≈ 0.69 °

The angle of depression is defined as the point of meeting of a horizontal line with the line between the item and the observer's eye. This angle is determined by two factors , which are their height and distance.  If the item is below the observer's level, the angle produced between the horizontal line and the observer's line of sight is known as the angle of depression.

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In AUVW, u = 5.8 inches, ZW=77º and ZU=87º. Find the length of u, to the nearest
10th of an inch

Answers

Answer:

5.8 ?

Step-by-step explanation:

It says it's 5.8 right there, I think you might have a typo :)

Issa jogged two-thirds of the way home from school. Then he was tired, so he walked the remaining 3{,}200\text{ m}3,200 m3, comma, 200, start text, space, m, end text. how many kilometers did issa travel from school to his house

Answers

The distance Issa travelled from school to his house is 9.6 km.

What is the distance travelled?

The actual length covered by the body is defined as distance travelled, whereas displacement is the straight path between the initial and final points.

Here,

Let the total distance between school and home be 'x' meters.

Issa jogged two-thirds of x = 2x/3

So the total distance between school and home is = 2x/3 + 3200

However, the total distance from school to home = x

= 2x/3 + 3200 = x

= 3200 = x/3

= 9600 = x

As a result, the total distance from school to home is 9600 meters.

We're now converting it to kilometers.

We know that 1000 meters equals one kilometer.

9600 meters = 1/1000 x 9600

= 9.6 kilometers

Therefore the distance travelled will be 9.6 km.

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auggie bought 8 books. Some books cost $13 each and the rest of the books cost $24 each. They spent a total of $159. Write a system of linear equations that could represent the given situation

Answers

Answer: Let x be the number of $13 books that Auggie bought and y be the number of $24 books. Then we can represent the given information in the following system of linear equations:

x + y = 8 (the total number of books Auggie bought is 8)

13x + 24y = 159 (the total amount of money Auggie spent is $159)

This system of linear equations represents the given situation. We can use this system to find out how many books Auggie bought of each price by solving the system of equations.

The equation (1) represents the number of books that Auggie bought is 8, and equation (2) represents the amount of money he spent $159. This system of equations is a valid representation of the given situation because the values of x and y that satisfy the system of equations will be the number of $13 books and the number of $24 books that Auggie bought.

Step-by-step explanation:

HELP Trigonometry: Find the area of each shape using the given information

Answers

Given:

The vertical height of the trapezoid = 2.9 m

The bases of the trapezoid are 2.3 m and 9.3 m.

To find:

The area of the given trapezoid.

Solution:

The area of a trapezoid is:

[tex]A=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases or length of parallel sides and h is the vertical height of the trapezoid.

Putting [tex]a=2.3,\ b=9.3,\ h=2.9[/tex] in the above formula, we get

[tex]A=\dfrac{1}{2}(2.3+9.3)(2.9)[/tex]

[tex]A=\dfrac{1}{2}(11.6)(2.9)[/tex]

[tex]A=16.82[/tex]

Therefore, the area of the given trapezoid is 16.82 square m.

I don't know help! image of the question is below

Answers

The value of x from the given triangle is 7√2 units.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given triangle, one of the angle in right angle triangle is 45°, opposite side is 7 units and hypotenuse is x units.

We know that, sinθ =Opposite/Hypotenuse

sin45°=7/x

1/√2=7/x

x=7√2 units

Therefore, the value of x is 7√2 units.

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Each week Sara's science teacher gives a 15-point quiz.
Her current scores are shown in the table.

What is Sara's mean quiz score?

Answers

Answer: Sara's mean quiz score is 12

Step-by-step explanation:

Mean is the Sum of the Terms divided by the number of terms.

If we add up every score we get 60, we then will divide this by how many scores there were (5).

60/5 = 12

Farmer Bale puts 1492 eggs into boxes. Each box holds 6 eggs. How many boxes does he need? (solving my math homework -)

Answers

Answer:

249 boxes

Step-by-step explanation:

1492 ÷ 6 = 248.666

round up

249

249 boxes are needed:
1492 eggs/6 eggs per box=248.666666…boxes
Round up to 249 boxes

70%of $10 =$
Complete the following the statement

Answers

Answer:

7

Step-by-step explanation:

Have a good day :)

Answer:

70% of $10 = $7

...............................

Evaluate a+4a+4a, plus, 4 when a=7a=7a, equals, 7

Answers

The evaluation of the expression a + 4 when a = 7 is 11

How to evaluate the expression

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

Expression: a + 4

Value a = 7

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

a + 4 = 7 + 4

Evaluate the like terms in the equation

So, we have the following representation

a + 4 = 11

Using the above as a guide, we have the following:

The solution is 11

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Four more then the quotient of 12 and a number x

Answers

4+(12/x)

Use to convert the expression into a fraction

Expand the fraction to get the least common denominator

Use the commutative property to reorder the terms

Any expression multiplied by remains the same solution= 4x+12/x

Aiko bakes croissants for a community center bake sale. She already has a number
of batches baked from the day before. After 2.5 hours, Aiko has a total of 8 batches.
After 4 hours, she has a total of 11 batches. Determine the number of batches Aiko
baked per hour.

Answers

You’d be solving the equation 2.5/1 = 8/x. 8 divided by 2.5 equals 3.2. Therefore, Aiko baked 3.2 batches of cookies per hour

Answer:

Aiko baked 2 batches per hour.

---------------------------------

Find the difference in time and the difference in the number of batches.

The two numbers will help to find the rate of change in that time interval.

This is same as finding the slope of a line with points (2.5, 8) and (4, 11):

m = (11 - 8)/(4 - 2.5) = 3/1.5 = 2

A right pyramid has a square base with perimeter 24 inches. Its apex is 9 inches from each of the other vertices. What is the height of the pyramid from its peak to the center of its square base, in inches

Answers

If the square base with perimeter 24 inches then the height  of the right pyramid be 8.485 - inches.

What is meant by right pyramid?

A right pyramid is one whose apex is located exactly above the centroid of the base. As a result, a right pyramid is a special instance of a regular pyramid.

It is referred to as the right pyramid if the pyramid's apex lies immediately above the base's center. If not, the pyramid is known as the oblique pyramid.

A right-triangular pyramid is a three-dimensional object that has a base that is a right-angle triangle and extends up to a single point.

Right pyramids have apex points that are immediately above the centroid of their base. Oblique pyramids are referred to as non right pyramids. An implied right pyramid is a regular pyramid since it has a regular polygon base.

24 / 4 = 6 inches - the edge length of the square base

9² = 3² + Height²

simplifying the above equation, we get

Height² = 9² - 3²

Height² = 72 take the square root of both sides

Height = ~8.485 - inches - the height of the pyramid.

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If the square base with perimeter 24 inches then the height  of the right pyramid be 8.485 - inches.

What is meant by right pyramid?

The centroid of the base is exactly where the top of a right pyramid sits. Consequently, a right pyramid is a unique example of a standard pyramid.

If the top of the pyramid sits directly above the centre of the base, it is referred to as the right pyramid. If not, the structure is referred to as an oblique pyramid.

A right-triangular pyramid is a three-dimensional object with a base that rises to a single point from a right-angle triangle.

Apex points of right pyramids are located directly above the centroid of their base. Non-right pyramids are another name for oblique pyramids. Given that its base is a regular polygon, an implied right pyramid is a typical pyramid.

24 / 4 = 6 inches - the edge length of the square base

9² = 3² + Height²

simplifying the above equation, we get

Height² = 9² - 3²

Height² = 72 take the square root of both sides

Height = ~8.485 - inches - the height of the pyramid.

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3x-6y=9
x=2y+3

SOMEONE HELP ME SOLVE THIS STEP BY STEP TY

Answers

Answer:

0=0

infinitely many solutions

Step-by-step explanation:

plug x=2y+3 as x into 3x-6y=9...so

3(2y+3)-6y=9, which has our x=2y+3 plugged in because that is what x equals

if you solve its

6y+9-6y=9

0y=0

y=0

making it 0=0

you can't go further from this

hello please help i’ll give brainliest

Answers

Answer:

Mountains It will because when they collide one goes up and it will form a Mountain over time.

Step-by-step explanation:

hope it helps

have a great day

Answer:

Mountains

Step-by-step explanation:

Deep ocean trenches, volcanoes, island arcs, submarine mountain ranges, and fault lines are examples of features that can form along plate tectonic boundaries. When the plates move they collide or spread apart allowing the very hot molten material called lava to escape from the mantle. When collisions occur they produce mountains, deep underwater valleys called trenches, and volcanoes.

10
y
is directly proportional to
x
2
.
If
y
=
8
when
x
=
2
find
x
when
y
=
50

Answers

Answer:

Y=50 , working shown below with process which works for any question of this type

Step-by-step explanation:

Please help!!
“Find the volume of the cylinder.”

Answers

Answer:

v=πr²h

v=3.14x6²x6

v=3.14x36x6

v=678.24cm³

which shapes have 2 obtuse angles

Answers

Answer: Trapezoid

Step-by-step explanation:

Answer:

Step-by-step explanation:

Trapezoid square and the down right all the way

¿Cuál de las figuras tiene ángulos agudos? A. El triángulo equilátero. B. El cuadrado. C. El pentágono regular. D. El heptágono regular.

Answers

Answer:

A. El triángulo equilátero.

Step-by-step explanation:

Un triángulo equilátero tiene ángulos agudos.

Los ángulos agudos tienen una medida de menos de 90 grados.

La suma de los ángulos del triángulo siempre debe ser igual a 180 grados.

Cuando 3 ángulos son iguales, la medida de cada uno de ellos vendrá dada por

3 veces = 180

x = 180/2 = 60 grados

La suma de los ángulos del cuadrado siempre es igual a 360 grados. Cuando 4 ángulos son iguales, la medida de cada uno de ellos vendrá dada por

4x = 360

x = 360/4 = 90 grados

Un cuadrado tiene cuatro ángulos rectos.

La suma de los ángulos del pentágono siempre es igual a 540 grados. Cuando 5 ángulos son iguales, la medida de cada uno de ellos vendrá dada por

5 veces = 540

x = 540/5 = 108 grados

Un pentágono regular tiene 5 ángulos obtusos.

La suma de los ángulos interiores del heptágono siempre es igual a 900 grados. Cuando 7 ángulos son iguales, la medida de cada uno de ellos vendrá dada por

7x = 900

x = 900/7 = 128,57 grados

Un heptágono regular tiene 7 ángulos obtusos.

Entonces, solo el triángulo equlateral tiene ángulos agudos.

English

An equilateral triangle has acute angles.

Acute angles are having measurement less than 90 degrees.

The  sum of angles of the triangle must always be equal to 180 degrees.

When 3 angles are equal then the measure of each of them will be given by

3x= 180

x= 180/2= 60 degrees

The  sum of angles of square always equal 360 degrees. When 4 angles are equal then the measure of each of them will be given by

4x= 360

x= 360/4= 90 degrees

A square has four right angles.

The  sum of angles of pentagon always equal 540 degrees. When 5 angles are equal then the measure of each of them will be given by

5x= 540

x= 540/5= 108 degrees

A regular pentagon has 5 obtuse angles.

The  sum of  interior angles of heptagon always equal 900 degrees. When 7 angles are equal then the measure of each of them will be given by

7x= 900

x= 900/7= 128.57 degrees

A regular heptagon has 7 obtuse angles.

So only equilateral triangle has acute angles.

A bookcase is 3 feet high and 3 feet wide. Two braces are going to be built to diagonally cross the back of the case. How long is the piece of wood that is needed to build each brace?

Answers

The length of each piece of wood needed to build each brace of the bookcase will be 4.24 feet.

Based on the dimensions, the shape of bookcase is square. So the diagonal of the bookcase will be calculated from the formula -

Diagonal = ✓side² + side²

Keep the values in formula to find the value of diagonal

Diagonal = ✓ 3² + 3²

Taking square on Right Hand Side of the equation

Diagonal = ✓9 + 9

Performing addition on Right Hand Side of the equation

Diagonal = ✓ 18

Finding square root on Right Hand Side of the equation

Diagonal = 4.24 feet

Thus, each diagonal will be 4.24 feet.

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find four consecutive odd integers such that 4 times the sum of the first and third is 4 larger than 4 times the fourth

Answers

The four consecutive odd integers = 15, 17, 19, 21

What are integers ?

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers.

This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.

According to our question-

First digit: x

Second digit: x + 2

Three-digit number Equals x + 4

Fourth digit: x + 6

The difference between the opposite of the third and the first two sums up to 55.

x + x + 6 = -(x + 4) + 55

x + x+6 = (-x - 4) + 55

2x + 6 = -x + 51

assemble similar terms

2x + x = 51 - 6

3x = 45

x = 15

Therefore,

First digit: x = 15

Second digit: 15 + 2 + x = 17

Third number: 15 + 4 + 4 = 19

Fourth digit: x+6 = 15+6 = 21

The four odd numbers in a row equal 15, 17, 19, and 21.

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a triangle has side lengths of 6,8,11 what kind of triangle is it

Answers

Answer:

fmmdmme,ekemmdm

Step-by-step explanation:

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