The correct option is (a) 48.
In algebra, an equation is a statement of equality between two expressions. These expressions can be numbers, variables, or a combination of both.
In the equation:
b/4 = 12, the variable b is on one side of the equation and the value 12 is on the other side.
To find the value of b that makes the equation true, we need to isolate the variable b on one side of the equation.
In this case, we can do this by multiplying both sides of the equation by 4.
This cancels out the denominator of the fraction on the left side, and we get,
b = 12*4= 48.
This means that when b is equal to 48, the equation b/4 = 12 is true.
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At a fancy dinner party, the number of courses that will be served determines how many forks will be set out by the hostess.
c = the number of courses served during dinner
f = the number of forks set out by the hostess
Which of the variables is independent and which is dependent?
Answer:
c is the independent variable and f is the dependent variable
Step-by-step explanation:
How do you prove a number is irrational?
To prove a number is irrational we divide the integer by another integer is the decimal is non terminating and non repeating then it will be a irrational number .
What are Irrational Numbers ?
The Irrational numbers can be defined a number that cannot be expressed as a fraction [tex]\frac{p}{q}[/tex] for any integers p and q.
The Irrational numbers have decimal expansions that do not terminate nor repeat (periodic) . Every transcendental number is an irrational number .
(i) To prove a number irrational when we divide an integer by another integer, and if decimal expansion does not terminate and do not repeat then it is an irrational .
(ii) if the number cannot be expressed in the form of [tex]\frac{p}{q}[/tex] , then also the number will be called as irrational numbers .
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I have 2 bags of onion bhajis, one of which holds 42 bhajis. I empty them
onto a plate, making 50 bhajis. How many bhajis were in the second bag?
There were 8 bhajis in the second bag if he have 2 bags of onion bhajis, one of which holds 42 bhajis.
What is an equation ?
In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. Equations are often written in the form of "expression = expression" or "expression - expression = 0"
Let's call the number of bhajis in the second bag "x".
We know that he total number of bhajis after emptying both bags onto the plate is 50.
So we can write an equation:
42 + x = 50
To solve for x, we can subtract 42 from both sides:
x = 50 - 42
x = 8
Therefore, there were 8 bhajis in the second bag.
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combine like terms:
Like terms for the given data are: 17x² and 3x²; -3xy and -2xy. Combining the like terms we get: 20x² and -5xy
What is like terms?In algebra, the term "equal terms" refers to words with the same variable to the same power.
Similar variables and powers are called similar words in algebra. Matching coefficients is not required. When two or more words do not share the same variable or power, they are called inequal terms. The order of both variables is irrelevant unless there is a power. All of these have the same terminology.
17x² and 3x²
-3xy and -2xy
Combine the same terms obtained.
17x² + 3x² = 20x²
-3xy + (-2xy)
= -3xy -2xy
= -5xy
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What is a 3 sided called?
A triangle is a polygon with 3 sides, and the sum of its interior angles is 180 degrees.
The properties of a triangle are:
A triangle has three sides, three angles, and three vertices.The sum of the length of any two sides of a triangle is greater than the length of the third side.The side opposite the largest angle of a triangle is the largest side.There are several types of triangles, including:
Equilateral triangle: This is a triangle with three sides of equal length and three angles of 60 degrees.
Isosceles triangle: This is a triangle with two sides of equal length and two angles of equal measure.
Scalene triangle: This is a triangle with three sides of different lengths and three angles of different measure.
Right triangle: This is a triangle with one 90-degree angle.
Acute triangle: This is a triangle with three angles that are all less than 90 degrees.
Obtuse triangle: This is a triangle with one angle that is greater than 90 degrees.
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Donovan flips a coin a total of 96 times. How many times should he expect the coin to land on heads? Donovan records the results of the next 50 flips. The results are shown in the table. Heads Tails 32 18 Based on Donovan's results, if he flips the coin an additional 75 times, about how many times should he expect the coin to land on tails?
When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be 48 times.
The times he should expect the coin to land on tail based on the table will be 27 times.
How to illustrate the value?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be:
= 1/2 × 96
= 48
The number of times he should expect the coin to land on tail based on the table will be:
= 18/50 × 75
= 27 times
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1. Circle which of the following ways to prove that a quadrilateral is a parallelogram. (5 pts.)
I. quadrilateral with both pairs of opposite sides congruent
II. quadrilateral with both pairs of opposite angles congruent
ILI. quadrilateral with one pair of opposite sides both congruent and parallel
A. I only
B. II only
C. I, II and III
D. III only
E. I and II
quadrilateral with both pairs of opposite sides congruent
What is a parallelogram?
A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.
Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.
If both pairs of opposite sides of a quadrilateral are congruent , then the quadrilateral is a parallelogram.
So, the option I only is correct
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What are 4 ways to solve a problem?
The 4 ways to solve a problem are understanding the problem, devising a plan, carrying out the plan, look back.
A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.
Polya created his famous four-step process for problem-solving, which is used all over to aid people in problem-solving:
Step 1. Understand the problem.
x = a number
Step 2. Devise a plan (translate).
Twice the difference between a number and 1 is equal to 4 more than that number
Step 3. Carry out the plan (solve).
2(x - 1) = (x + 4)
2x - 2 = x + 4
2x - 2 - x = x + 4 - x
x - 2 + 2 = 4 + 2
x = 6
Step 4. Look back (check and interpret).
If we take twice the difference of 6 and 1, that is the same as 4 more than 6. Thus the final answer is 6.
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In the decathlon event at large track meets, male athletes compete in a total of 10 events. Their combined performance in each of the events is used to determine the winner. Two of the events are the 200-meter dash and the javelin throw. For 12 athletes at a large international competition, performances in these two events are recorded and placed in a scatterplot. The value of r for this scatterplot is 0.369.
A graph titled decathlon Events has 200-meter dash time (seconds) on the x-axis, and Javelin throw distance (meters) on the y-axis. Points are grouped loosely together in a line with positive slope.
Which of the following best describes the relationship between the variables in the scatterplot?
Those with lower 200-meter times tend to have longer javelin distances. The relationship is strong.
Those with higher 200-meter times tend to have longer javelin distances. The relationship is strong.
Those with lower 200-meter times tend to have longer javelin distances. The relationship is moderate.
Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate.
answer is D
Based on the information provided, the best description of the relationship between the variables in the scatterplot is: option D, "Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate."
What is the relationship about?The scatterplot shows a positive relationship between the two variables, as indicated by the points being grouped loosely together in a line with a positive slope.
This means that as the 200-meter dash time increases, the javelin throw distance also tends to increase. The coefficient of correlation, r, also supports this relationship, as a value of 0.369 indicates a moderate positive correlation between the two variables. Though the correlation is moderate, it's important to note that this does not imply causality.
Therefore, note that, based on the description in the question, the relationship is moderate, not strong. The statement is accurate only when the correlation coefficient is between 0.3-0.7 which is considered as moderate correlation.
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Answer:
d
Step-by-step explanation:
How many times smaller is 1.2 × 106 than 1.38 × 107?
The number 1.2 × 10⁶ is 11.5 times smaller in comparison to the number 1.38 × 10⁷.
The two given numbers here have been written using the method of powers of 10. In this method, very large or very small numbers are easily simplified and written by denoting the powers of 10. These power are integral in nature. Very large numbers are of the form y × 10ⁿ and very small numbers can be expressed in the form z × 10⁻ⁿ.
In the given problem, we have the numbers 1.2 × 10⁶ and 1.38 × 10⁷ and we have to tell how much the former number is from the latter. For this, we divide the two and easily find our solution. Before this, we have to make the powers of 10 in both numbers the same. We can rewrite the 1.38 × 10⁷ as 13.8 × 10⁶. Now, we divide the two and get-
⇒ 11.5
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Answer: B. 11.5
Step-by-step explanation: I took the test
Rent-A-Car charges $50 to rent a car plus $0.25 per mile. Save-To-Rent charges $25 to rent a car plus $0.41 per
After how many miles will the cost be the same to rent a car?
miles
After 156.25 miles will the cost be the same to rent a car. This can be solved by the concept of cross-multiplication.
What is cross-multiplication?Fractions are multiplied by multiplying the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.
In order to get the second fraction's numerator, multiply the first fraction's denominator by it. Cross multiply is another name for the butterfly technique of multiplication. The cross-multiply technique is used to find one or more variables in a fraction.
Let, assume miles be m.
and, Let the total cost be x.
According to the question,
0.25m + 50 = x ........(i)
0.41m + 25 = x ........ (ii)
By solving equation (ii) by (i) we get -
0.16 m - 25 = 0
or, 0.16m = 25
or, m = 25 /0.16
or, m = 156.25
Thus, number of miles = 156.25 miles.
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Gaya buys 2 oranges and 1 cauliflower she pays £2.00
Esteben buys 4 oranges and 1 cauliflower he pays £2.90
Work out the price of one orange
Answer:
Step-by-step explanation:6
What are the roots of the equation x² - 10x +34 = 0 in simplest
a + bi form?
A line that includes the points (k,
–
4) and (5,
–
2) has a slope of
–
1. What is the value of k?
The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).
So we can substitute these values into the formula:
-1 = (-2 - (-4)) / (5 - k)
-1 = 2 / (5 - k)
-1 × (5 - k) = 2
-5 + k = 2
k = 2 + 5
k = 7
Therefore, the value of k is 7.
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What percentage of the class voted for Maria?
Is Infinity a interval?
To represent "infinity" or the notion that an interval lacks an ending, we use the symbol.
Is infinity an open interval?The endpoints of infinity and negative infinity can be seen in two different ways. One the one hand, we can never get to infinity because it is a concept and not a real quantity.
In this sense, the interval is said to be open because it excludes the endpoints infinity and negative infinity. The infinity symbol is placed on the right side since there is no higher endpoint (all values must be larger than or equal to -3). An interval is closed if its boxed end is on -3. Because there is no endpoint on that side, infinity always has a curved end.
To represent "infinity" or the notion that an interval lacks an ending, we use the symbol. The symbol shouldn't be used with a square bracket because it's not a number. Visit this tutorial on set-builder and interval notation for a more thorough discussion of set notation and interval notation.
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Donna reads 56 chapters of a book in 7 hours. What is her rate in chapters per hour?
Answer:
To find what her rate for how many chapters she reads per hour, you want to find out what times 7 gives you 56, or you can simply divide:
56/7 = 8
Donna reads 8 pages per hour.
Step-by-step explanation:
Hope it helps! =D
At Florida A&M University, the ratio of students from Florida to students not from Florida is about `3\ :\ 1`.
How many of its `12000` students are from Florida?
Based on the information given, the number of students from Florida will be; 9000 students.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3 : 1
The Total number of students = 12000
Fraction from Florida = 3/4
Fraction of students not from Florida = 1/4
Therefore, the students from Florida will be:
= 3/4 × 12000
= 9000
Hence, the number of students from Florida is 9000.
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Rich added 26.2 milliliters of water to a solution in science class. The directions said to add 22.6 milliliters of water. What was the percent error (to the nearest hundredth percent) in the amount of water Rich added
The percent error in the amount of water Rich added is 15.93%.
What is meant by percentage error?When compared to the actual value, the percent error is the difference between the estimated and actual values.
The difference between the estimated value and the actual value in relation to the actual value is given as a percentage and is known as the percent error. In other words, the relative error times 100 equals the percent error.
Given that Rich added water to a solution in science class is 26.2 milliliters
Whereas the directions said to add water is 22.6 milliliters
The amount of water that is added more is 26.2 -22.6 = 3.6 milliliters
The percent error is = (3.6/22.6)*100%
The percent error is = 15.9292*100%
Therefore, the correct answer is option b) 15.93%.
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Suppose you know the answer to 4/5*(20*1 7/8). Explain how the Commutative and Associative Properties of Multiplication can make the computation easier. Then find the answer
You can rearrange terms in an expression using the commutative and associative qualities to arrange compatible numbers next to one another and in groups.
What distinguishes an associative property from a commutative property?According to the associative property, numbers can be added to or multiplied while still maintaining the same result. According to the commutative property, even if the numbers are added or multiplied, the solution will remain the same.
Explain:
[tex]\frac{4}{5}[/tex] ×(20×17/8)
20×17/8
340÷8
[tex]\frac{4}{5}[/tex]×[tex]\frac{340}{8}[/tex]
= [tex]\frac{64}{2}[/tex]
= 32
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What evidence from Gilgamesh a new English version best supports the conclusion that Gilgamesh is an epic hero?
In "Gilgamesh: A New English Version," several pieces of evidence support the conclusion that Gilgamesh is an epic hero.
Gilgamesh is the king of Uruk: He is the main character of the story, and his actions and deeds are the focus of the epic. As a king, he holds a position of power and authority and is responsible for the well-being of his people.
Gilgamesh undertakes a quest: He embarks on a journey to find immortality after the death of his dear friend Enkidu. His quest takes him to the ends of the earth and shows his determination and courage.
Gilgamesh faces challenges and monsters: During his journey, Gilgamesh faces several challenges and monsters, such as the giant Humbaba and the Bull of Heaven. His bravery in overcoming these obstacles demonstrates his heroic qualities.
Gilgamesh has supernatural strength and abilities: He is two-thirds god and one-third man, which means he is gifted with supernatural strength, speed and endurance. He is able to perform deeds that would be impossible for a mortal.
Gilgamesh demonstrates wisdom and self-awareness: Throughout his journey, Gilgamesh comes to understand the limitations of human life and the importance of living a meaningful existence. He demonstrates wisdom and self-awareness which are the hallmark of a true epic hero.
These examples of Gilgamesh's character and actions support the conclusion that he is an epic hero and his story is an epic.
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5 parents and 3 children cost £ 13.20
2 parents and 1 child cost £ 5.10
Find the cost of 1 child
Find the cost of 1 parent
Answer:
The cost of 1 child is £ 3.40 and the cost of 1 parent is £ 4.10. To determine this, we can use the following equation:
Cost of 1 child = (13.20 - 5.10) / (5 parents + 3 children)
Cost of 1 parent = (13.20 - 5.10) / (2 parents + 1 child)
Hope this helps!
Step-by-step explanation:
How do you find the terminal point of a line segment?
To find the terminal point of a line segment, identify the starting point, measure the length and direction, and use these parameters to calculate the coordinates of the terminal point.
To find the terminal point of a line segment, first identify the starting point of the line. Then, measure the length of the line segment and the direction in which it is going. Finally, use a combination of the starting point coordinates, the length, and the direction to calculate the coordinates for the terminal point of the line.
1. Identify the starting point of the line.
2. Measure the length of the line segment and the direction in which it is going.
3. Use the starting point coordinates, the length, and the direction to calculate the coordinates of the terminal point.
4. The coordinates of the terminal point are the location of the line segment’s endpoint.
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PLEASE SOMEONE HELPPPPP
Simplify (36)18
O a
Ob
Oc
Od
33
312
324
3108
Answer:
d. 3^108
Step-by-step explanation:
Just multiply 6 and 18.
a company spent 762500 to make a movie that will be shown in theaters for 8 weeks. If the movie makes 1250000 in its first week how much money does the movie need to earn in the next 7 weeks to make profit of atleast 2,000,000
The movie need to earn $ 1,512,500 in the next 7 weeks.
What is Unitary Method?The unitary technique involves first determining the value of a single unit,
followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A company spent 762500 to make a movie.
The total movie will be earned
= 762500 + 2000000
= 2,762,500
First week the movie earned 1, 250,000.
So, in 7 weeks the movie needs to earned
= 2,762,500 - 1, 250,000
= 1,512,500
Hence, the movie earn 1,512,500 more.
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Natalia paid a total of 38.95 for 3 pizzas and a salad. The price of each pizza was p dollars. And the price of the salad was 11.98 what is the cost of 1 pizza
Answer:
The cost for 1 pizza is $8.99
Step-by-step explanation:
We know
Natalia paid a total of 38.95 for 3 pizzas and a salad
A salad = $11.98
We first find the total cost of 3 pizzas by
38.95 - 11.98 = $26.97
$26.97 is the cost for 3 pizzas; to find the cost of 1 pizza, we take
26.97 divided by 3 = $8.99
So, the cost for 1 pizza is $8.99
Answer:
The cost of 1 pizza is $8.99.
Step-by-step explanation:
Let
[tex]t[/tex] = total price
[tex]p[/tex] = pizzas
[tex]s[/tex] = salads
Natalia bought 3 pizzas and 1 salad
[tex]38.95=3p+1s[/tex]
We are given the price of the salad.
[tex]38.95=3p+11.98[/tex]
Now we can find the cost of 1 pizza.
Lets solve for [tex]p[/tex].
Subtract 11.98 from both sides of the equation.
[tex]26.97=3p[/tex]
Divide both sides of the equation by 3.
[tex]p=\frac{26.97}{3}\\p=8.99[/tex]
These tables correspond to inputs and outputs. Which of these input and output tables could represent a function rule, and which ones could not?
Table A is a function.
Table B is not a function.
Table C is a function.
Table D is not a function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one or many-to-one.
But a relation is not a function if it is one to many.
Table A is a function and it is a many-to-one function.
Table B is not a function as input 1 leads to two different outputs 1, - 1.
Table C is a function and it is a one-to-many function.
Table D is not a function as one input leads to 3 different outputs.
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What’s the area of a square is all sides are 6 feet long?
Answer:
36 sq ft
Step-by-step explanation:
The area of a square is equal to the length of one side squared. Therefore, if all sides of a square are 6 feet long, the area of the square is 6 feet * 6 feet = 36 square feet.
Answer:
36
Step-by-step explanation:
you multiply just two of the sides hxw and you get your answer
The graph below models the value of a $20,000 car fyears after it was purchased.
20000
18000
16000
14000
12000-
10000
8000
6000
4000
2000-
Dollars
Value of Car
52:25
2 4 6 8 10 12 14 16 18 t
Years
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
A. Each car value y, is associated with exactly one time, t.
B. Each time, t, is associated with exactly one car value, y.
C.The rate at which car decreases in value is not constant.
Your answer should be B. Each time, t, is associated with precisely one car value, y.
Use a calculator to find cos 149° rounded to the nearest hundredth. Identify the angle of depression
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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