By taking a quotient we can see that they bought a total of 8 pizzas.
How many pizzas do they buy?
We know that the first pizza costs $13.60, and for the second there is a 30% discount, then the cost of the second pizza is:
p = $13.60*(1 - 30%/100%)
p = $13.60*(0.7) = $9.52
Then two pizzas cost:
$13.60 + $9.52 = $23.12
We know that the team spends in total $92.48, by taking the quotient:
$92.48/ $23.12 = 4
We can conclude that they bought 4 pairs of 2 pizzas, so a total of 8 pizzas.
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I don’t understand geometry
Answer:
me either
Step-by-step explanation:
Division of Polynomials
1). 2x^3 - x^2 + 3x - 4 / x + 5
2). X^4 - 8x^2 + 2x + 7 / x+5
3). 2x^3 + x^2 - 8x + 15 / x^2 + 2x - 1
Division of Polynomials is [tex]$$2 x^2-11 x+58-\frac{294}{x+5}$$[/tex] , [tex]$$x^3-5 x^2+17 x-83+\frac{422}{x+5}$$[/tex], [tex]2 x-3+\frac{12}{x^2+2 x-1}[/tex].
What is Polynomials?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
1). [tex]\frac{2 x^3-x^2+3 x-4}{x+5}$$[/tex]
[tex]$$\begin{aligned}& \text { Divide } \frac{2 x^3-x^2+3 x-4}{x+5}: \quad \frac{2 x^3-x^2+3 x-4}{x+5}=2 x^2+\frac{-11 x^2+3 x-4}{x+5} \\& =2 x^2+\frac{-11 x^2+3 x-4}{x+5}\end{aligned}$$[/tex]
[tex]$$\begin{aligned}& \text { Divide } \frac{-11 x^2+3 x-4}{x+5}: \frac{-11 x^2+3 x-4}{x+5}=-11 x+\frac{58 x-4}{x+5} \\& =2 x^2-11 x+\frac{58 x-4}{x+5}\end{aligned}$$[/tex]
Divide [tex]$\frac{58 x-4}{x+5}: \quad \frac{58 x-4}{x+5}=58+\frac{-294}{x+5}$[/tex]
[tex]$$=2 x^2-11 x+58+\frac{-294}{x+5}$$[/tex]
Simplify
[tex]$$=2 x^2-11 x+58-\frac{294}{x+5}$$[/tex]
2.[tex]\frac{x^4-8 x^2+2 x+7}{x+5}$$[/tex]
Divide [tex]$\frac{x^4-8 x^2+2 x+7}{x+5}: \quad \frac{x^4-8 x^2+2 x+7}{x+5}=x^3+\frac{-5 x^3-8 x^2+2 x+7}{x+5}$[/tex]
[tex]=x^3+\frac{-5 x^3-8 x^2+2 x+7}{x+5}$$[/tex]
Divide [tex]$\frac{-5 x^3-8 x^2+2 x+7}{x+5}: \frac{-5 x^3-8 x^2+2 x+7}{x+5}=-5 x^2+\frac{17 x^2+2 x+7}{x+5}$[/tex]
[tex]=x^3-5 x^2+\frac{17 x^2+2 x+7}{x+5}$$[/tex]
Divide [tex]$\frac{17 x^2+2 x+7}{x+5}: \quad \frac{17 x^2+2 x+7}{x+5}=17 x+\frac{-83 x+7}{x+5}$[/tex]
[tex]$$=x^3-5 x^2+17 x+\frac{-83 x+7}{x+5}$$[/tex]
Divide [tex]$\frac{-83 x+7}{x+5}: \quad \frac{-83 x+7}{x+5}=-83+\frac{422}{x+5}$[/tex]
[tex]$$=x^3-5 x^2+17 x-83+\frac{422}{x+5}$$[/tex]
3.
[tex]\begin{aligned}& \frac{2 x^3+x^2-8 x+15}{x^2+2 x-1} \\& \text { Divide } \frac{2 x^3+x^2-8 x+15}{x^2+2 x-1}: \frac{2 x^3+x^2-8 x+15}{x^2+2 x-1}=2 x+\frac{-3 x^2-6 x+15}{x^2+2 x-1} \\& =2 x+\frac{-3 x^2-6 x+15}{x^2+2 x-1} \\& \text { Divide } \frac{-3 x^2-6 x+15}{x^2+2 x-1}: \frac{-3 x^2-6 x+15}{x^2+2 x-1}=-3+\frac{12}{x^2+2 x-1} \\& =2 x-3+\frac{12}{x^2+2 x-1}\end{aligned}[/tex]
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Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply. A right triangle. The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers. 8 squared + 12 squared = d squared. 64 + 24 = d squared. 88 = d squared. StartRoot 88 EndRoot = d. 9.4 almost-equals d. She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 18 km for Isabelle’s distance. She did not square the 12 in the problem. She should have used 12 squared = 144. She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16. She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44. She should not have taken the square root of each side when solving. She should have just divided each side by 2. She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
What is the distance?
Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
Here, we have
The distance is given:
d² = (12 * 1.5)² + (8 * 1.5)²
Rewriting we have:
d² = (18)² + (12)²
d² = 324 + 144
d² = 468
d = √(468)
d = 21.63 Km
Hence,
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
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PLEASE PLEASE PLEASE help, I will mark brainliest, this is for my final. In the diagram, △FEL∼△JOS. Which ratios are equivalent to tanF? Select all that apply.
EF/EL
EL/EF
EL/FL
FL/EF
OJ/OS
OJ/JS
OS/OJ
OS/SJ
Answer:
EL/EF
OS/OJ
Step-by-step explanation:
Tangent is equal to opposite/adjacent
Noah is putting together a 27-minute radio show. How many 21-min interviews can he include, and how much time will be left over after the last interview?
Answer:
One interview, with 6 minutes spare.
Step-by-step explanation:
27/21 is 1 with a remainder of 6
Calculator
For what value of x is line a parallel to line b?
Enter your answer in the box.
X =
a
b
(5x + 15)°
115°
65°
Explanation:
If the corresponding angles 5x+15 and 115 are congruent, then line 'a' is parallel to line 'b'.
5x+15 = 115
5x = 115-15
5x = 100
x = 100/5
x = 20
The perimeter of a rectangular field is 194m. Three times the width of the garden is 5 meters more than its length. Which system of equations could be used to find the length (L) and the width (W) of the field?
Answer:
Step-by-step explanation:
so we know 3w = L + 5
and then we know that 2w + 2L = 194
so those are our two equations
since we have L by itself in the first equation, we are going to move the 5
L = 3w - 5
so now we can plug that in as L in the second equation
2w + 2(3w - 5) = 194
so now we distribute that 2
2w + 6w - 10 = 194
then simplify
8w - 10 = 194
then add the 10 to the other side
8w = 204
then we divide the 8
we get w = 25.5
so now we take that and go all the way back and plug that into the othr equation (ik this is a lot)
L = 3w - 5
so we plug in what we got for w
L = 3(25.5) -5
then multiply
L = 76.5 - 5
L = 71.5
so we end up with
w = 25.5 and L = 71.5
have a great day!! <3
A triangle has angle measures of 45 degrees, 45 degrees, and 90 degrees. Which statement is true about the lengths of the sides? Each side has a different length. Two sides have the same length, which is less than the length of the third side. The three sides have the same length. The sum of the lengths of two sides is equal to the length of the third side.
The sum of the lengths of two sides is equal to the length of the third side is 45°.
What is Triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.As we discussed in the introduction, a triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry. Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.To learn more about vertex of the triangle refer to:
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on his trip to work each day, brady pays the same toll, using either all quarters or all dimes. if the number of dimes needed for the toll is 3 more than the number of quarters, what is the toll?
Answer:
50 cents
Step-by-step explanation:
25x2=2 quarters
5x10=5 dimes
3 more dimes than quarters
which of the following are examples of performance measures that should be considered when designing a queue? (there might be more than one correct answer) a. probability that the waiting time exceeds t minutes (e.g. t can be 10 minutes) b. probability that servers are busy more than t minutes (e.g. t can be 10 minutes) c. average
All of the following are examples of performance measures that should be considered when designing a queue.
There are several performance measures that should be considered when designing a queue, including:
a. Probability that the waiting time exceeds t minutes (e.g. t can be 10 minutes): This measure can be used to assess the likelihood that customers will have to wait longer than a certain amount of time before being served. A high probability of long waiting times may indicate that the queue is not functioning effectively or that there are not enough servers to handle the demand.
b. Probability that servers are busy more than t minutes (e.g. t can be 10 minutes): This measure can be used to assess the likelihood that servers will be occupied for longer than a certain amount of time. A high probability of busy servers may indicate that the queue is not functioning effectively or that there are not enough servers to handle the demand.
c. Average waiting time: This measure can be used to assess the average amount of time that customers spend waiting in the queue before being served. A high average waiting time may indicate that the queue is not functioning effectively or that there are not enough servers to handle the demand.
Other performance measures that may be considered when designing a queue include the average number of customers in the queue, the average time that servers spend serving customers, and the probability that customers will leave the queue without being served.
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a boy owns 1 pairs of pants, 6 shirts, 3 ties, and 6 jackets. how many different outfits can he wear to school if he must wear one of each item?
A boy owns 1 pair of pants, 6 shirts, 3 ties and 6 jackets then, the number of different outfits the boy can wear to school if he must wear one of each item is 108.
Given:
a boy owns 1 pairs of pants,
6 shirts,
3 ties,
and 6 jackets.
how many different outfits can he wear to school if he must wear one of each item = ?
Combinations here:
1 × 6 × 3 × 6
= 108
hence the boy can wear 108 different outfits.
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based on this data, what is a reasonable estimate of the probability that todd runs more than 15\text{ km}15 km15, start text, space, k, m, end text tomorrow?
The reasonable estimate of the probability that Todd runs 5/13.
We know that,
Experimental probability = Number of favorable outcomes/total number of outcomes.
Experimental probability, also called empirical probability, is based on real experiments and rational records of what happened. A series of real-world experiments are conducted to determine the occurrence of events. Experiments with undetermined results are called random experiments. The results of such experiments are uncertain. Repeat the random experiment several times to determine its probability. Experiments are repeated a specified number of times, and each repetition is called a trial. Mathematically, the formula for experimental probability is defined as:
Probability of event P(E) =
frequency of occurrence of event / total number of trials.
According to the question:
The number of favorable outcomes are 5.
The total number of outcomes are 2 + 3 + 3 + 5 = 13.
Therefore, the reasonable estimate of the probability that Todd runs is 5/13.
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What is the value of x?
Answer:
x = 9
Step-by-step explanation:
since the 3 sides are congruent then the triangle is equilateral with the 3 angles being congruent , all 60° , then
7x - 3 = 60 ( add 3 to both sides )
7x = 63 ( divide both sides by 7 )
x = 9
50PTS! PLEASE HELP ASAP will give brainliest! The equation y=45x represents the number of miles, y, Mr. Miller’s car can travel using x gallons of gas. Which data display represents a car that gets more miles per gallon than Mr. Miller’s car?
Data displays linked:
Answer:
A
Step-by-step explanation:
Millers car gets 45 miles to the gallon, as 1x45=45. The answer can be solved by dividing the number of miles traveled by the number of gallons used, and the first option is the only one that has a value of over 45.
Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos. Fabio scored 31 points in the game.
How many points did Carlos score?
The number of points that Carlos score based on the information is 19 points.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
In this.case, Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos.
Let Carlos point = x
Fabio point will be = 2x - 7
The equation will be:
2x - 7 = 31
2x = 31 + 7.
2x = 38
Divide
x = 19
Carlos had 19 points
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which expression in the simplest form of
The simplest form of an expression is x³-13x². Therefore, option D is the correct answer.
What is simplest form?Expressions are rewritten in a compact and unlike terms-free manner when they are simplified. Expressions are simplified by combining like phrases, resolving any provided brackets, and only leaving unlike terms that cannot be further reduced in the final simplified expression.
The given expression is -(2x³+x²)+3(x³-4x²)
Simplify the given expression as follows
-2x³-x²+3x³-12x²
= x³-13x²
The simplest form of an expression is x³-13x². Therefore, option D is the correct answer.
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A bag contains 12 red marbles, 14 yellow marbles, and 3 green marbles.
If I marble is chosen at random, which is the probability that it will be a blue marble?
Answer:1/3
Step-by-step theexplanation:1/3 is the probablility of the marbles
What is the simplified form of this expression? 15 – 10 (92 – 8 ×5 4) – 6
associative analyses cannot determine whether stable relationships exist between two variables. true false
Associative analyses cannot determine whether stable relationships exist between two variables.
The statement is False
Now, According to the question:
There are statistical analyses beyond simple descriptive measures, statistical inference, and differences tests including associative analyses which determine whether a stable relationship exists between two variables.
Associative analysis is an approach that is used to analyses the peoples mental representation , focusing on meaning and similarities and differences across the culture. It determined that relationship that is hidden in the large data set. It determine the relationship in between two variable as well.
Hence, Associative analyses cannot determine whether stable relationships exist between two variables.
The statement is False
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Which of the following statement is false? a. all isosceles triangles are similar b. all quadrilateral triangle are similar c. all circle are similar
d. none of the above
The statement that is false is A.. all isosceles triangles are similar
What is an isosceles triangles?An isosceles triangle in geometry is a triangle with two equal-length sides. It can be specified as having exactly two equal-length sides or at least two equal-length sides, with the latter definition including the equilateral triangle as an exception.
An isosceles triangle has two of its three sides with equal lengths, and its two base angles are also equal. Although two isosceles triangles can have two sides that are equal on their own, they may not be similar because their sides may be of a different measurement.
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The endpoints of AB are A(-8, 1) and B(4, -7).
What are the coordinates of point Con AB that is
34
the distance from point A to point B?
∞
6
4
The Co-ordinates of the point C that divides the line in the ratio of 3:4 is (-20/7, -17/7)
What is Section Formula?
The Section formula is used in coordinate geometry to compute the ratio of a line segment split by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle. It is used in physics to determine the centre of mass of systems, equilibrium locations, and so on.
Solution:
A(-8, 1) and B(4, -7)
Ratio is 3:4
Section Formula is (mx2 + nx1/ m + n), (my2 + ny1/ m + n)
m = 3 and n = 4
Co-ordinates of C are (3*4 + 4*(-8)/ 3+4), (3*(-7) + 4*1 / 3+4)
= (12 - 32 / 7), (-21 + 4 / 7)
= (-20/7, -17/7)
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Use the given point on the terminal side of the angle theta to find the value of the trigonometric function instead
Csc theta (6,4)
Answer:
D) (√13)/2
Step-by-step explanation:
You want to know the cosecant of the angle measured clockwise from the +x axis with point (6, 4) on its terminal side.
CosecantThe cosecant of the angle is the ratio of the point's distance from the origin to the y-coordinate.
The distance from the origin is found using the Pythagorean theorem:
d = √(x²+y²) . . . . . . . distance from the origin to (x, y)
d = √(6² +4²) = √52 = 2√13
Then the desired ratio is ...
csc(θ) = d/y = (2√13)/4
csc(θ) = (√13)/2
A parking meter charges 5 cents per minute and 25 cents fee to use the meter. What is the maximum number of minutes, x, that a person can receive who spends no more than $5.00?
The maximum number of minutes that a person who spends no more than $5.00 can receive is 95 minutes
How to determine the maximum number of minutes?
A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation
Given that:
A parking meter charges 5 cents per minute and 25 cents fee to use the meter.
A person spends no more than $5.00 and the number of minutes, x
We can write:
0.05x + 0.25 ≤ 5
Solve for x:
0.05x ≤ 5-0.25
0.05x ≤ 4.75
x ≤ 4.75/0.05
x ≤ 95
Thus, the maximum number of minutes is 95 minutes
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a man imported a machine at shillings 600,000 and sold it for shillings 1,080, does 000 find the percentage profit if he spent shillings 60,000clearing the machine from the port and futher shillings 40,000 for shipping
Answer:
The man made a profit of 63.333% from selling the machine.
Step-by-step explanation:
To find the percentage profit, you will need to first calculate the total profit the man made from selling the machine. To do this, you need to subtract the cost of importing the machine and the other costs associated with clearing and shipping it from the selling price.
Here's the calculation:
Total profit = Selling price - (Import cost + Clearing cost + Shipping cost)Substituting the values you provided, we get:Total profit = 1,080,000 - (600,000 + 60,000 + 40,000)
Total profit = 1,080,000 - 700,000Total profit = 380,000
Next, we need to divide the total profit by the import cost, and multiply the result by 100 to express the profit as a percentage. Here's the calculation:
Percentage profit = (Total profit / Import cost) * 100Substituting the values we calculated above, we get:Percentage profit = (380,000 / 600,000) * 100Percentage profit = 63.333%
Therefore, the man made a profit of 63.333% from selling the machine.
Answer:
Step-by-step explanation:
Given f(x) = x² + 4x, find the average rate of change of f(x) on the interval [4, 4+h]. Your answer will
be an expression involving h.
Step-by-step explanation:
please refer to the attached sketch for the answer.
what is equilvalent to the square root of -2.
Answer:
1.4142135623730951i
Step-by-step explanation:
Did it help pls make me the brainliest and you can round your answer to how you want it and if not that's you answer thank you.
Write the equation for the line through the given point with the given slope.
(-5, 4); m = undefined
The equation of the line through the given point (-5, 4) and a slope, m = undefined as given in the task content is; x = -5.
What is the equation of the line as described?It follows from the task content that the equation whose slope is undefined and passed through the point; (-5, 4) is to be determined as required.
On this note, it follows from straight line graphs that; a line whose slope is undefined is said to be a vertical line.
On this note, the equation of such line is; x = h, where h is the x-coordinate of a point through which the line passes.
Ultimately, the required equation for the line is; x = -5.
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Help Me with this, please!!!
Answer:
-7/3 is the correct answer
Answer:
Step-by-step explanation:
3a. This work no correct
3b. First we need to convert the mixed fraction into a regular fraction:
3с.
[tex]\displaystyle\\-4\frac{7}{8} $x$\displaystyle{\frac{2}{3}} =\\\\-\frac{4*8+7}{8} $x$\displaystyle{\frac{2}{3}} =\\\\-\frac{32+7}{8} $x$\displaystyle{\frac{2}{3}} =\\\\-\frac{39}{8} $x$\displaystyle{\frac{2}{3}} =\\\\-\frac{39*2}{8*3} =\\\\-\frac{13}{4} =\\\\-3\frac{1}{4}[/tex]
Solve the Cryptarithm,
BIRD
FOOD
+GRID
which equals GRAIN.
Also note that food is a multiple of 1279 and that it is a prime number.
Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378==13674.
What is a cryptarithmetic problem?Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.
What is reverse cryptarithm?A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.
since the digits used are 0 to 9.
first letter can't be zero.
and we can't repeat the same digit for same different alphabets.
Using these rules with the condition that food is multiple of 1279.
The answer is : 9738+2558+1378==13674
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Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378 =13674.
What is a cryptarithmetic problem?
Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.
What is reverse cryptarithm?
A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.
since the digits used are 0 to 9.
first letter can't be zero.
and we can't repeat the same digit for same different alphabets.
Using these rules with the condition that food is multiple of 1279.
The answer is : 9738+2558+1378 = 13674
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Divide. 1585 ÷ 24 Write your answer as a mixed number.
Answer: 66 1/24
Step-by-step explanation:
