Find an equation in slope interact form of the number of pizzas sold as a function of time for Mario's
Answers
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]
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
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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Four more then the quotient of 12 and a number x
Answers
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
a triangle has side lengths of 6,8,11 what kind of triangle is it
Answers
Answer:
fmmdmme,ekemmdm
Step-by-step explanation:
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
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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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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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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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
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 = 2a 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
I need help on solving this
Answers
Answer:
Irrational
Step-by-step explanation:
it equals 6.7 which is not a perfect square
Please help!!
“Find the volume of the cylinder.”
Answers
Answer:
v=πr²h
v=3.14x6²x6
v=3.14x36x6
v=678.24cm³
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
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.
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 expressionFrom 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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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 :)
¿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.
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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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.
70%of $10 =$
Complete the following the statement
Answers
Answer:
7
Step-by-step explanation:
Have a good day :)
Answer:
70% of $10 = $7
...............................
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:
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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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 me quickly! NO LINKS!!!!
Answers
Answer:
180 - 110 = 70
<DBC = 70
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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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
1492 eggs/6 eggs per box=248.666666…boxes
Round up to 249 boxes
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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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
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