Answer:
66 es pero que te ayude ■■♤♤
What is the point of a triangle called?
The points of a triangle are known as vertices, and various triangle points are centroid, circumcenter, incenter and orthocenter.
A triangle is a three-sided polygon.
The triangle's three points are known as vertices.
Several triangle-related points:
A triangle's centroid is the point where three medians cut each other. A median is the line that connects a vertex to the opposite side's midpoint.At the circumcenter, the three perpendicular bisectors of a triangle's sides meet. The circumcenter is also the center of the circle formed by passing through the three vertices of the triangle. The orthocenter is the point at which the triangle's altitudes, or the perpendicular lines between each vertex and the opposite side, intersect.The incenter of a triangle is the point at which the three bisectors of the triangle's interior angles intersect. This is also the center of the inscribed circle, also known as the triangle's incircle.A triangle's Euler line is the line that connects the orthocenter, circumcenter, and centroid. It also contains the Nine Point Circle's center.Thus, the points of a triangle are known as vertices, and various triangle points are centroid, circumcenter, incenter and orthocenter.
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Rewrite sin(x-7pi/4) in terms of sin(x) and cos(x)
The expression written in terms of sinx and cosx is
sinx· cos7π/4 - cosx ·sin7π/4
What is an algebraic expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given expression is sin(x - 7π/4).
Use the formula for sin(A-B) to rewrite the expression:
sin(x - 7π/4)
= sinx· cos7π/4 - cosx ·sin7π/4
Hence, the expression written in terms of sinx and cosx is sinx· cos7π/4 - cosx ·sin7π/4
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How do you match equivalent expressions?
To match equivalent expression is the fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
In mathematics, equivalent fractions are those with the same denominator and differing numerators.
According to equivalent fractions, two or more fractions are considered to be equal if both provide the same fraction following simplification. Let's imagine that two fractions, a/b and c/d, were simplified to provide comparable fractions, e/f. In this case, the two fractions are equal to one another.
For instance, if we simplify 5/15, we get a fraction that is equal to 1/3, which is equal to 5/15.
We have to find how do we match equivalent expression.
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Can someone help me please? I would really appreciate the person to help me.
The system of linear equations have variable unique solutions, infinitely many solutions and no solutions.
System of Linear EquationIn algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
A system of equations as discussed above is a set of equations that seek a common solution for the variables included.
1.
y = -2x + 3 ...eq(i)
y = 1/2x - 7 ...eq(ii)
The solutions to the linear equations (x,y) are (4, -5)
2.
y = 2x - 7 ...eq(i)
y = 5x + 5 ...eq(ii)
The solutions to the linear equations (x,y) are (-4, -15)
3.
3y = -12x + 6 ...eq(i)
y = -4x + 2 ...eq(ii)
The linear equations (x, y) have infinitely many solutions
4.
y = -2x + 3 ...eq(i)
y = 2x - 1 ...eq(ii)
The linear equations (x,y) have solutions of (1, 1)
5.
y = 5x + 4 ...eq(i)
y = 5x - 2 ...eq(ii)
The linear equations have no solutions
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Some people are saying it is possible to use the Law of Cosines to solve a triangle if given only three angles, and some are saying it is not possible. Which is it?
Hence, yes we can solve the triangle with the help of Law of Cosines.
What is trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Here given that,
Some people are saying it is possible to use the Law of Cosines to solve a triangle if given only three angles, and some are saying it is not possible.
Yes, with the help of Law of Cosines we can solve the triangle and the formula for it is
[tex]c^2=a^2+b^2-2abcos(C)[/tex]
where, [tex]a,b,c[/tex] are the side lengths of the triangle and [tex]C[/tex] is the angle.
Hence, yes we can solve the triangle with the help of Law of Cosines.
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NO LINKS!! Use tests for symmetry to determine which graphs from the list below are symmetric with respect to the y-axis, the x-axis, and the origin. (Select all that apply.) Part 1
Answer:
[tex]\begin{aligned}\textsf{(a)} \quad y&=-6x^2\\y&=4x^2-2\end{aligned}[/tex]
[tex]\textsf{(b)} \quad x=\dfrac{1}{4}y^2[/tex]
Step-by-step explanation:
Part (a)A graph is symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph.
Linear functions are not symmetric with respect to the y-axis.
Quadratic functions are symmetric with respect to the y-axis if the y-axis is their axis of symmetry, so when the variable x is squared.
Cubic functions are not symmetric about the y-axis.
Square root functions are not symmetric about the y-axis.
There are two quadratic functions with x² in the given answer options.
Test to see if they are symmetric with respect to the y-axis.
Test for symmetry
To determine if a graph is symmetric with respect to the y-axis, replace all the x's with (−x). If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.
Given function:
[tex]y=-6x^2[/tex]
Replace x with (-x):
[tex]\implies y=-6(-x)^2[/tex]
[tex]\implies y=-6x^2[/tex]
Therefore, as the function is equal to the original function, this function is symmetric with respect to the y-axis.
Given function:
[tex]y=4x^2-2[/tex]
Replace y with (-y) and x with (-x):
[tex]\implies y=4(-x)^2-2[/tex]
[tex]\implies y=4x^2-2[/tex]
Therefore, as the function is equal to the original function, this function is symmetric with respect to the y-axis.
Part (b)A graph is symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, -b) on the graph.
Linear functions are not symmetric with respect to the x-axis.
Quadratic functions are symmetric with respect to the x-axis if the x-axis is their axis of symmetry, so when the variable y is squared.
Cubic functions are not symmetric about the x-axis.
Square root functions are not symmetric about the x-axis.
There is one quadratic functions with y² in the given answer options.
Test to see if it is symmetric with respect to the x-axis.
Test for symmetry
To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y). If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.
Given function:
[tex]x=\dfrac{1}{4}y^2[/tex]
Replace y with (-y):
[tex]\implies x=\dfrac{1}{4}(-y)^2[/tex]
[tex]\implies x=\dfrac{1}{4}y^2[/tex]
Therefore, as the function is equal to the original function, this function is symmetric with respect to the x-axis.
The equation of a parabola is y = a(x - 1)^2 + k and the points (2, 6.5) and (-1, -1) lie on the parabola. Determine the maximum value of the parabola.
The maximum value of the parabola is represented by y-vertex whose value is 9.
What is a Quadratic Function?
The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
For solving a quadratic function you should find the discriminant: Δ=b²-4ac . And after that you should apply the discriminant in the formula:[tex]x=\frac{-b\pm\sqrt{\Delta} }{2a}[/tex] .
The question gives a quadratic equation and two points, but you do not know some coefficients. Then, you should find the unknown coefficients and after that, you should find the y-vertex of the parabola ([tex]y_v=\frac{-{\Delta} }{4a}[/tex]).
For finding the coefficients, you should solve the system of equations.
y = a(x - 1)² + k -> points (2, 6.5) and (-1, -1), thus
6.5=a(2-1)² + k (1)
-1=a(-1-1)² + k (2)
Simplifying the equations
6.5=a(1)² + k ( 1 )
-1=a(-2)² + k (2)
6.5=a+ k ( 1 )
-1=4a+ k (2)
Multiply equation 1 by -1
-6.5=-a- k ( 1 )
-1=4a+ k (2)
Sum equations 1 and 2
-7.5=3a
a= -2.5
If a= -2.5, from equation 1, you have
-6.5=-a- k
-6.5=-(-2.5)- k
-6.5=2.5- k
k=2.5+6.5
k=9
Then , the parabola equation is y= -2.5 (x-1)² +9. You can rewrite it as:
y=-2.5(x²-2x+1)+9
y= -2.5x²+5x-2.5+9
y= -2.5x²+5x+6.5
Find y-vertex[tex]y_v=\frac{-{\Delta} }{4a}=y_v=\frac{-{(b^2-4ac)} }{4a}=\frac{-{(5^2-4*(-2.5)*(6.5))} }{4*(-2.5)}=\frac{-90}{-10} =9[/tex]
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Solve for
x
xx.
Assume the equation has a solution for
x
xx.
19
x
+
r
x
=
−
37
x
+
w
The value of x in the Algebraic expressions is x = w / (56+r).
What is Algebra?
Algebra is a branch of mathematics focused on the study of mathematical symbols and the rules for manipulating those symbols. In algebra, letters and other symbols represent numbers, which can be manipulated and combined to solve equations and other mathematical problems. Algebra is used in a variety of different fields, from engineering to economics, and is essential for anyone studying mathematics. Algebra can be used to solve problems involving linear equations, quadratic equations, polynomials, and more. Algebra also provides an important foundation for more advanced fields of mathematics, such as calculus. By learning the basics of algebra, students can gain an understanding of key mathematical concepts and gain the skills necessary to solve complex problems.
The solution is,
given: 19x + rx = -37x + w
( 19x + 37x) = w - rx
56x + rx = w
x(56+r ) = w
x = w / (56+r)
Therefore the value of x in the algebraic expression is x = w / (56+r).
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3. Represent and Connect Write 2,857 using only hundreds and ones.
By using a linear combination, we can write our number using only hundreds and ones as:
2,857 = 28*100 + 57*1
How to write the number using only hundreds and ones?To write the number using only hundreds and ones we need to write our number as a linear combination of ones and hundreds, so we can write:
2,857 = a*100 + b*1
There are multiple solutions for this, we can use b to cover the ones and the tens, so:
57 = b*1
57 = b
And we can use a to cover the hundreds and thousands, so:
2,800 = a*100
2,800/100 = a
28 = a
Then we can write our number using only hundreds and ones as:
2,857 = 28*100 + 57*1
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What is the value of t??
1.4t - 0.4 ( t - 3.1 ) = 5.8
Please explain step by step on how I could get this answer!
1.4t - 0.4(t-3.1)=5.8
Combine terms in paratheses
1.4t - 0.4t + 1.24 = 5.8
Combine t's
(1)t + 1.24 = 5.8
Subtract 1.24 over
t = 4.545. Julia is playing a computer game. To enter a new quest she has
to pay a "tax" of 2.5 points, but she expects to gain 75 points.
For each quest, how many points can she gain overall?
The number of points gained overall by Julia playing the game is 30 point
How to determine the number of points gained overall?From the question, we have the following parameters that can be used in our computation:
Tax paid for a new quest = 2.5 points
Total points gained playing the game = 75 points
The above parameters can be represented as
The number of points gained overall = Total points gained playing the game/Tax paid for a new quest
Substitute the known values in the above equation, so, we have the following representation
The number of points gained overall = 75/2.5
Express as a correct fraction
So, we have the following representation
The number of points gained overall = 750/25
Evaluate the quotients
So, we have the following representation
The number of points gained overall = 30
Hence, the number of points gained overall =is30
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An audio cable is 14.1 dm long. How long is the cable in meters?
Answer: 1.41 meters
Step-by-step explanation:
14.1 decimeters to meters
Decimeters are 10 times smaller than meters, so you divide the value by 10 to get meters
14.1/10 = 1.41
1.41 meters
Write an expression to represent: 8 less than the product of 2 and x.
The graph shows the amount of book sales
over several days. Determine if the
relationship is proportional. Find and
interpret the slope. Then find the unit rate
and compare it to the slope.
The two quantities have proportional relationship and it's slope is 333.33
ProportionsProportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
In this case, we have to determine is there's a uniform increase or decrease of the quantity.
The formula of proportionality is often given as
y = kx
k = constant of proportionalityLet's take two points and check if they share the same constant of proportionality
2000 = k(6)
k = 333.33
1000 = k(3)
k = 333.33
The relationship between sales and day is proportional.
The slope of the graph is given as
m = y₂ - y₁ / x₂ - x₁
m = 2000 - 1000 / 6 - 3
m = 333.33
NB: The slope and constant of proportionality in this case are the same quantity.
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What does m<2 mean in geometry?
Answer: I hope this is helpful mark me brainlist if this apply to you
Step-by-step explanation:
The square meter, also called the meter squared, is the International System of Units (SI) unit of area. The symbol for square meters is m2. Less formally, square meter is sometimes abbreviated as sq m.A metre square is a square with sides one metre in length – it refers to the shape and the side length, not the area. By contrast, a square metre is an area and can be any shape.The basic unit of length is the meter and is denoted as. In geometry, can be used as a variable to denote a line and can be used to name a point. In algebra, denotes the slope of a line in the equation y = m x + c .
please I need help on question 6
The value of the variable x and the measures of each side of the triangle ΔDEF found using the definition of an isosceles triangle are;
x = 9
DE = 13
EF = 28
DF = 28
What is an isosceles triangle?An isosceles triangle is a triangle that has two angles in the triangle that are congruent and two congruent sides.
The specified parameters are;
∠D is congruent to ∠E in triangle ΔDEF
The length of the segments of ΔDEF are;
DE = x + 4
EF = 4·x - 8
DF = 7·x - 35
The (base) angles ∠D and ∠F of ΔDEF are congruent, therefore, ΔDEF is an isosceles triangle (definition)
Therefore;
EF = DF (Definition of an isosceles triangle)
4·x - 8 = 7·x - 35
7·x - 4·x = 3·x = 35 - 8 = 27
3·x = 27
x = 27 ÷ 3 = 9
x = 9
DE = x + 4
Therefore;
DE = 9 + 4 = 13
EF = 4·x - 8
Therefore;
EF = 4 × 9 - 8 = 28
DF = 7·x - 35
Therefore;
DF = 7 × 9 - 35 = 28
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EVALUATE ₈C₇ and ₁₁P₅
₈C₇=
₁₁P₅=
The permutation and combination expressions have their values to be ⁸C₇ = 8 and ¹¹P₅ = 55440
How to determine the permutation and combination expressions?From the question, we have
⁸C₇ and ¹¹P₅
The combination expression: ⁸C₇
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 8 and r = 7
Substitute the known values in the above equation
Total = ⁸C₇
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
⁸C₇ = 8!/7!1!
Evaluate
⁸C₇ = 8
(b) The permutation expression: ¹¹P₅
The number of ways of selection could be drawn is calculated using the following permutation formula
Total = ⁿPᵣ
Where
n = 11 and r = 5
Substitute the known values in the above equation
Total = ¹¹P₅
Apply the permutation formula
ⁿPᵣ = n!/(n - r)
So, we have
¹¹P₅ = 11!/6!
Evaluate
¹¹P₅ = 55440
Hence, the values are 8 and 55440
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Is the exponential function 5 x?
It is Growing Exponential function because the base is greater than 1 and the exponent has a positive sign.
What is exponential decay function?
A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.
[tex]y=5^x[/tex]
It is a function called "Exponential function". The base determines the growth or decay of the function.
If base > 1, then the function grows, otherwise if base is between 0 and 1, the function decays.
Here, the base is positive and it's not 1 or 0.
If we have
[tex]y=5^{-x}[/tex]
this function can be rewritten in this way:
[tex]y=(1/5)^x[/tex]
Here, base between 0 and 1, the function decays
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The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. a(t) = t + 6, v(0) = 7, 0 ≤ t ≤ 10 (a) Find the velocity at time t. v(t) = Correct: Your answer is correct. m/s (b) Find the distance traveled during the given time interval.
a) The function velocity of the particle is v(t) = 0.5 · t² + 6 · t + 7, b) The distance traveled by the particle is 467 feet.
How to determine the velocity and the distance traveled by a particleIn this problem we have the equation that represents the acceleration of a particle. The function velocity (v) is obtained by integrating the function acceleration (a) and the function position is obtained by integrating the function velocity. Now we present the definitions of each function:
Velocity
v(t) = ∫ a(t) + C
Position
s(t) = ∫ v(t) + C
Where C is the integration constant.
The distance traveled during the time interval is found means of definite integrals:
Δs = [tex]\int\limits^b_a {v(x)} \, dx[/tex]= s(b) - s(a)
a) First, determine the function velocity of the particle:
v(t) = ∫ (t + 6) dt + C
v(t) = 0.5 · t² + 6 · t + C
7 = C
v(t) = 0.5 · t² + 6 · t + 7
b) Second, determine the distance traveled in the given time interval:
Δs = s(10) - s(0)
Δs = 0.167 · 10³ + 3 · 10² + 7 - 0.167 · 0³ - 3 · 0² - 7
Δs = 467
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Pedro vive cerca del bosque, el terreno de su propiedad ocupa 15 metros en total, su casa ocupa sólo 6 metros, tiene un huerto el cual ocupa 4 metros y el resto es un espacio donde puede disfrutar de la naturaleza ahí encuentra algunas clases de musgos que le dan un aspecto maravilloso al bosque.” ● Representa con fracciones el espacio que ocupa la casa, el espacio que ocupa el huerto y deduce qué fracción representa el resto del terreno, a lado de cada fracción realiza la representación gráfica de cada una, usando las herramientas como tablas o insertar formas en PowerPoint.
El espacio que ocupa la casa sería 6/15, el espacio que ocupa el huerto sería 4/15 y el espacio restante del terreno sería 5/15.
¿Cómo representar las fracciones del terreno?Para representar en forma de fracciones el área de los diferentes espacios del terreno de Pedro debemos tener en cuenta que el total tiene 15 metros. Adicionalmente, cuando representamos una fracción estamos informando cuántas unidades de un número x de unidades estamos utilizando. Por ejemplo, en este caso del total (15 metros) del terreno que tiene Pedro, él esta utilizando 6 metros para su casa. Esta fracción se representaría así:
6 / 15
Por otra parte, la fracción para representar el área del huerto de Pedro debe seguir los mismos lineamientos que la anterior, es decir en el numerador (número de la parte de arriba) ponemos el número de unidades que utilizamos y en el denominador (número de la parte de abajo) ponemos el número total de unidades disponibles. Entonces la fracción del huerto sería:
4 / 15
Por ultimo, para saber cuántas unidades quedan disponibles del terreno de Pedro, debemos restarle al total de terreno la cantidad de espacio que usamos:
15 - 4 - 6 = 5
De acuerdo con lo anterior, el espacio disponible serían 5 metros, que expresado en fraccionarios sería:
5 / 15
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Explain why (0,3) is not a solution to y
Answer:
Step-by-step explanation:
3< 0 + 2
3 < 2
the inequality is false because 3 is greater than 2, so the ordered pair (0,3) can’t be a solution of the inequality
Answer:
(0, 3) is not a solution to y < x + 2.
Step-by-step explanation:
Plug the given coordinates in to the inequality:
(0, 3) → x = 0, y = 3
y < x + 2
3 < 0 + 2
3 ≮ 2
(0, 3) is not a solution to y < x + 2.
Sheelu bought a scooter for Rs. 55000. While selling the value of the scooter decreased to Rs. 50600. Find the percentage of decrease in the value of the scooter.
Answer:
8%
Step-by-step explanation:
1. Subtract:
55000 - 50600 = 4400
2. Divide:
4400/55000 = 0.08
The box-and-whisker plots below (sometimes called boxplots) summarize the noon temperatures for each city.
Use the box-and-whisker plots to answer the questions.
Comparing the box-and-whisker plots for both data of each city, we have:
a. City B had more noon temperatures above 76°F
b. Both had the same interquartile range.
c. City B had a larger median noon temperature
d. City A had the largest noon temperature.
How to Analyze a Box-and-whisker Plot?The box-and-whisker plot has the following values it displays about a data distribution:
Minimum value: This is the value at the beginning of the left whisker.Lower quartile (Q1): This is indicated by the beginning of the edge of the box, 25% of the data are below this point.Median value: the line that divides the box is the median value which is 50% of the data.Upper quartile (Q3): This is indicated by the end of the edge of the box, 75% of the data are below this point.Maximum value: This is the largest data point and is located at the end of the right whisker.Interquartile range = Q3 - Q1
Analyzing the box-and-whisker plots given above, we have the following to conclude:
a. City B had more noon temperatures above 76°F because about more than 50% of the data are above 76°F.
b. Interquartile range for City A = Q3 - Q1 = 75 - 68 = 7
Interquartile range for City B = Q3 - Q1 = 80 - 73 = 7
Both had the same interquartile range.
c. Median for City A = 70
Median for City B = 78
City B had a larger median noon temperature
d. City A had the largest noon temperature of 85.
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please help me answer this question
Answer:
this 1
Step-by-step explanation:
same doubt pease any help
A car is traveling at a rate of 20 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 2 hours? Do not round your answers.
Rate:
Distance traveled in 2 hours:
Answer:
Rate = 72 km per hour
Distance traveled in 2 hours = 144 km
Step-by-step explanation:
The car speed is given as 20 meters per second
There are 3600 seconds in an hour
So in 1 hour the car would travel 20 x 3600 = 72,000 meters. This is equivalent to 72,000 meters per hour
There are 1000 meters in a kilometer
So, in terms of kilometers, the car would travel 72,000/1000 = 72 km i one hour. This is equivalent to a speed of 72 km per hour
In 2 hours the car would travel 72 x 2 = 144 km
sqrt((x^(2)-1)^(2))=x^(2)-1
The algebraic expression √((x²-1)²) simplifies to x²-1
How to simply an algebraic expression?
An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
Given: sqrt((x^(2)-1)^(2))=x^(2)-1
√((x²-1)²)
The square root will cancel out the square:
Thus, √((x²-1)²) = x²-1
Therefore, √((x²-1)²) simplifies to x²-1
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If m<1 = 128, then m<8=
Answer:
m<8=1024
Step-by-step explanation:
Since they are asking for m<8, we do 128*8=1024.
A rectangle is placed around a semicircle as shown below. The width of the rectangle is 4 yd. Find the area of the shaded region.
Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the shaded region is calculated as: 6.88 yd²
How to Find the Area of a Shaded Region?The area of the shaded region in the diagram = area of rectangle - area of semicircle.
Given the following:
Width of rectangle = 4 ydRadius of the semicircle (r) = 4 ydLength of the rectangle = 2(4) = 8 ydArea of the semicircle = 1/2(πr²) = 1/2 × 3.14 × 4² = 25.12 yd²
Area of the rectangle = length × width = 8 × 4 = 32 yd²
The area of the shaded region = 32 - 25.12 = 6.88 yd²
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What are 6 techniques used by propaganda?
Answer:
Glitzy Generalizations , Card Arranging , Plain people , Testimonial , Bandwagon , Using names are the six techniques used by propaganda.
Step-by-step explanation:
What is propaganda ?Information—especially that which is slanted or deceptive—used to advance or publicize a specific political cause or point of view.
Glitzy Generalizations
Use expressions or words that sound appealing and are widely accepted.
Card Arranging
Using only those ideas and facts that support your argument.
Plain people
Tell voters that you are a normal person with same needs and beliefs as theirs.
Testimonial
Persuades people to do something by leveraging their popularity as a celebrity or athlete.
Bandwagon
Encourages a tendency to follow the crowd
Using names
Put a bad name on your opponent.
Glitzy Generalizations , Card Arranging , Plain people , Testimonial , Bandwagon , Using names are the six techniques used by propaganda.
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The cost of a cheese pizza is $11.99 plus $0.45 for each additional topping, t. Write an inequality that can be used to represent the cost of a pizza that is at most $16. What is the most number of toppings that a pizza can have and still be at most $16?
Answer: 11.99 + 0.45t ≤ 16 The most toppings you can have is 8
Step-by-step explanation:
11.99 + 0.45 is a basic cheese pizza plus one topping
11.99 + 0.45t represents a pizza plus an undefined amount of toppings
11.99 + 0.45t ≤ 16 The cost of the pizza has to be 16$ or less
Subtract 11.99 from each side
0.45t ≤ 4.01
Divide both sides by 0.45
t ≤ 8.9111
You can't have a partial number of toppings, and 9 is too much, so we round down to 8.
