We are asked about the fraction of pizza each student gets, so the relevant numbers here is only 14 students and 7 pizzas. SO the fraction of pizza each student get is the ratio of the two:
fraction = 7 pizzas / 14 students
fraction = 1 / 2
So each student gets 1/2
Each student receives 4 slices out of 8, or half a pizza, which is represented by the fraction 1/2. There are 56 slices available in total (7 pizzas times 8 slices each), and when that is divided by 14 students, it equals 4 slices per student.
The question asks for the fraction of one pizza that each student receives at a pizza party. Given that there are 14 students and 7 pizzas, each pizza is cut into 8 slices. This information can be used to calculate the total number of slices available and then divide that by the number of students to determine the fraction of a pizza each student gets.
First, we find the total number of slices by multiplying the number of pizzas by the number of slices per pizza:
7 pizzas x 8 slices per pizza = 56 slices
Next, we divide the total number of slices by the number of students to find how many slices each student will receive:
56 slices ÷ 14 students = 4 slices per student
Since each pizza has 8 slices, 4 slices represent half a pizza. Therefore, the fraction of one pizza that each student receives is 1/2.
Using only the values given in the table for the function, f(x), what is the interval of x-values over which the function is increasing?(–6, –3)(–3, –1)(–3, 0)(–6, –5)
The interval of x-values over which the function is increasing is (-3 , -1), the correct option is B.
What is a Function?A function is a law that relates two variables namely, a dependent and an independent variable.
A function always has a defined range and domain.
The x values and the corresponding function values are shown in the figure.
The x and y values are:
-6 -34
-5 3
-4 -10
-3 -11
-2 -6
-1 -1
0 -2
1 -15
The interval of x-values over which the function is increasing has to be determined.
The first option is (-6, -3) , the function is not increasing in this interval.
The second option is (-3 , -1) , the function is increasing in this interval.
The third option is(–3, 0), the function is not increasing in this interval.
The fourth option is (–6, –5), the function is not increasing in this interval.
Your question seems incomplete, the complete question is attached with the answer.
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The total area or NC is 53,800 square miles. Land accounts for 48800 square miles. What percent of North Carolina is covered in water?
9.3% of North Carolina is covered in water.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To find the percent of North Carolina covered in water, we need to subtract the land area from the total area, and then express the result as a percentage.
The water area is:
53,800 - 48,800 = 5,000 square miles
To express this as a percentage, we need to divide the water area by the total area and then multiply by 100:
(5,000 / 53,800) x 100 = 9.3%
Therefore, 9.3% of North Carolina is covered in water.
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HELP WITH SOLVING SYSTEMS WITH THREE VARIABLES, WILL MEDAL
-2x + 2y +3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5
I'm not sure how to work it out, I have to do it by elimination
When it is 11:30
a.m. in dublin, it is 2:30 p.m. in moscow. how far ahead of dublin is moscow?
Dublin is 3 hours ahead of Moscow.
What is Time difference?The difference between how time is measured in different ways; the length of a period of time. the time difference between two or more distinct time zones in terms of clock time.
Given Dublin time = 11:30 am
Moscow time = 2:30
we can military time and subtract.
11:30 a.m. = 11:30
2:30 p.m. = 2:30 + 12:00 = 14:30
14:30 - 11:30 = 3:00
Hence the time difference is 3 hours.
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Ollie is catering a dinner party for more than 26 guests. Each guest has a choice between a vegetarian dinner or a steak dinner. The vegetarian dinner is $20 per plate and the steak dinner is $30 per plate. Ollie can spend no more than $690 on the entire party. If Ollie wants to purchase the most amount of food and still stay within budget, which combination of vegetarian and steak dinners is optimal?
What is the runner’s average rate of change between the hours: 0.5 and 2? mph 1.5 and 2.5? mph Average Rate of Change
Answer:
4mph
5mph
slower
Step-by-step explanation:
i did it
To calculate the average rate of change, divide the total change in distance by the total change in time. Without the specific distance covered in the given durations, it's impossible to provide absolute answers, but an example calculation has been given using an average speed of 9.5 mph.
Explanation:In your question, the average rate of change refers to the change in distance with respect to time, also known as velocity or speed. Since there are no concrete values mentioned in your question for the distances covered by a runner between time 0.5 and 2 hours, and 1.5 to 2.5 hours, it would be impossible to provide an accurate answer without such data.
However, allow me to explain how you could calculate these values. If you assume that a runner has the marathon runner's average speed of 9.5 miles per hour, then the average rate of change, or average speed, over a certain time period is just the total change in distance divided by the total change in time. For instance, if the runner covered 9.5 miles between 0.5 and 2 hours, then the average rate of change would be 9.5 miles per 1.5 hours, or approximately 6.33 mph. This same method would apply to calculations between 1.5 and 2.5 hours.
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In the diagram below bd is parallel to xy what is the value of y?
we know that
if the lines bd and xy are parallel. then
[tex]y+70\°=180\°[/tex] --------> by consecutive interior angles
so
Solve for y
Subtract [tex]70\°[/tex] both sides
[tex]y+70\°-70\°=180\°-70\°[/tex]
[tex]y=110\°[/tex]
therefore
the answer is
[tex]y=110\°[/tex]
Answer:
Option C. y = 110°
Step-by-step explanation:
In this question BD and XY are two parallel line and a transverse is intersecting both the lines at A and E.
Now ∠BAE = ∠AEY = 70° [ alternate interior angles ]
and ∠EAD + ∠BAE = 180° [ supplementary angles ]
or y + 70° = 180°
⇒ y + 70 - 70 = 180 - 70
⇒ y = 110°
Therefore Option C. measurement of y = 110° is the answer.
Tickets to friday's football game are $5.50 for adults and $4.50 for students. if the school pre-sold 25 tickets for $124.50, how many adult and student tickets were purchased?
things you cant assume from a diagram
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
Ohhhhh! I have a math Brainliest
Each small square on the grid is 1 ft².
Which estimate best describes the area of this figure?
25 ft²
35 ft²
50 ft²
65 ft²
see the attached figure to better understand the problem
we know that
the area of the figure is the area of the square minus the areas marked with x
area of the square is equal to
[tex]A1=8*8=64\ ft^{2}[/tex]
the areas marked with x is equal to
[tex]A2=15\ ft^{2}[/tex]
so
the area of the figure is
[tex]A=A1-A2 \\ A=64-15=49\ ft^{2}[/tex]
therefore
the answer is
[tex]50\ ft^{2}[/tex]
Answer: here is the k12 test answer
Step-by-step explanation:
How do you find the answer for 7x-(3x+8)
What is the mathematical sentence for 7 is subtracted from a number y. then the result is multiplied by 3. the final answer is less than or equal to 12?
"The perimeter of a swimming pool is 126 feet. The difference between the length (x) and width (y) of the pool is 39 feet. What are the dimensions of the pool?"
I'm supposed to figure this out using substitution but I'm not sure how, and any help at all is appreciated!
The dimensions of the swimming pool are 51 feet (length) and 12 feet (width), determined by setting up equations based on the given information (perimeter and difference between the sides) and solving these equations using substitution.
Explanation:The problem at hand is a classic algebraic word problem. It involves determining the length (x) and width (y) of a swimming pool given the perimeter and the difference between the length and width. The formulas we'll use are for the perimeter of a rectangle (2x + 2y = perimeter) and a given equation based on the description (x - y = difference).
Step-by-step Solution
From the question, we know the perimeter of the swimming pool is 126 feet. We express this using the perimeter formula: 2x + 2y = 126. Likewise, we know the difference between the length and the width is 39 feet. This can be expressed as: x - y = 39. We want to use substitution to solve these equations. This means, we need to isolate one of the variables in the second equation. Let's isolate x by rewriting the second equation as: x = y + 39. Now, we can substitute (y + 39) for x in our perimeter equation: 2(y + 39) + 2y = 126. This simplifies to: 4y + 78 = 126. Solving for y, we get: y = 12 feet. Substitute y = 12 into our isolated equation from step 3, we get x = 12 + 39 = 51 feet.
So the dimensions of the swimming pool are 51 feet (length) and 12 feet (width).
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Simplify the expression.
55−4⋅5+12
Expression after the simplification is 62.5.
What is an expression?In mathematics, expression is the combining of variables with the application of operations and prescribed rules. It could take the shape of an equation, some numbers, etc.
Given, expression
55 - 4.5 +12
Simplifying,
first, add the numbers.
55 - 4.5 +12
= 67 - 4.5
= 62.5
Hence, the value of the expression is 62.5.
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Which of the following equations is an example of a direct variation?
x + 2y = 6
x = 4
y = 3
y = 3.14 x
Answer:
Step-by-step explanation:
y=3.14x
70/b+5a-2b
Evaluate the expression when a=3 and b=10
Number 16. Solve the problem. Correct answer will get brainliest
Determine the sign of cos pi divided by seven without using a calculator.
What is true about the functional relationship shown in the graph ?
Answer: C. The amount earned is a function of the number of hours worked.
Explanation:
Since, a function is always the type of y= f(x), where x is independent variable and y is dependent variable which is dependent on the value of x.
Here, a graph of Olivia's earning per hour is given.
Since, it is the obvious thing that the earning will depend on hours she works.
Thus, we can say that earning is dependent variable while hours is independent variable.
Therefore, earning makes the y-axis and number of hours makes the x-axis.
So, option C is correct.
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k = ______
Can you explain how to figure this out?
What is the algebraic description for a transformation that translates the point (x,y) nine units to the right and five units down?
An algebraic description of the transformation that translates a point (x, y) nine units to the right and five units down is written as the new point (x + 9, y - 5).
The algebraic description of a transformation that translates a point (x, y) nine units to the right and five units down can be written as the following ordered pair: (x + 9, y - 5).
In this transformation, the x-coordinate of each point is increased by 9 units, reflecting a horizontal translation to the right, and the y-coordinate is decreased by 5 units, representing a vertical translation downwards. Thus, if you have a point (x, y), after the transformation, it becomes (x + 9, y - 5).
For example, if your initial point is (3, 4), after the transformation it would be at (3 + 9, 4 - 5) = (12, -1).
Solve for the variable: x – 2.8 = 1.6
3.4
-1.2
2.3
4.4
Use geometry to evaluate the integral from 0 to 6 of the function f of x, dx for f of x equals 3 for x less than or equal to 3 and equals the quantity 6 minus x for x greater than 3.
27
13.5
12
10.5
Final answer:
To evaluate the given integral, split the function at x = 3 and integrate separately. The integral evaluates to 18, which makes the correct answer 18.
Explanation:
The function we're integrating is 1, which makes this the same integral as the one in example 3 on p. 178. To evaluate this integral, we need to split it at x = 3 and integrate the corresponding functions separately.
For x ≤ 3, the function is f(x) = 3. So, the integral from 0 to 3 of 3 dx equals 9.
For x > 3, the function is f(x) = 6 - x. Integrate this from 3 to 6: ∫(6 - x) dx = 6x - 0.5x^2. Evaluating this from 3 to 6 gives 9.
Gustavo and Aiden are walking due west through the forest when they happen upon an angry grizzly bear. Gustavo runs away 2 3 23 ∘ 23, degree north of east for 3 0 0 300m300, space, m, and Aiden runs away 3 3 33 ∘ 33, degree south of east for 2 5 0 250m250, space, m. How far are Gustavo and Aiden away from each other?
We can actually solve this problem using the cosine law. We know that Gustavo ran 23° above the horizontal, while Aiden ran 33° below, hence the total angle between them is 56°. Therefore the distance between them is:
c^2 = a^2 + b^2 – 2 a b cos θ
c^2 = (300)^2 + (250)^2 – 2 (300) (250) cos 56
c^2 = 68,621.06
c = 262 m
They are 262 meters apart.
Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal. So, they are 262 meters apart.
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
The total angle between them = 23 + 33 = 56°.
Let the distance between them be c. by using cosine law we have,
c² = a² + b² – 2ab cos θ
Where a and b are distances traveled by Gustavo and Aiden. θ is the angle between them.
Therefore,
[tex]c^2 = a^2 + b^2 - 2 a b cos \theta[/tex]
[tex]c^2 = (300)^2 + (250)^2 -2 (300) (250) cos 56[/tex]
[tex]c^2 = 68,621.06[/tex]
c = 262 m
Thus, the distance between them is 262 meters.
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which would not be a step in solving 5x + 15 + 2x = 24 + 4x?
A. Isolate the variable.
B. Collect variable terms on one side.
C. Collect like terms.
D. Use the distributive property.
The step that would not be necessary in solving 5x + 15 + 2x = 24 + 4x is D. Use the distributive property.
What is an equation?An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.
To solve the equation 5x + 15 + 2x = 24 + 4x, we need to simplify and manipulate the equation to isolate the variable on one side.
First, we can combine like terms:
5x + 2x - 4x = 24 - 15
3x = 9
Then, we can isolate x by dividing both sides by 3:
x = 3
Therefore, the correct steps to solve this equation are:
B. Collect variable terms on one side.
C. Collect like terms.
A. Isolate the variable.
We do not need to use the distributive property in this problem.
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The composition is performed on . What are the coordinates of B'' and C''?
Which equation shows how to find the product of 100,000 and 1,000,000 using scientific notation?
Answer:
[tex]10^5 * 10^6 = 10^{5+6} = 10^{11}[/tex]
Step-by-step explanation:
find the product of 100,000 and 1,000,000 using scientific notation
All whole numbers have a decimal point at the end
convert each number into scientific notation. To get scientific notation move the decimal point after 1
100000. -----> 1.00000 ----> 1* 10^5 ----> 10^5
1000000. -----> 1.000000 ----> 1* 10^6 ----> 10^6
a^m * a^n = a^m+n
[tex]10^5 * 10^6 = 10^{5+6} = 10^{11}[/tex]
The sophomore class sold a total of 700 adult and student tickets to the school play. adult tickets sold for $4.50 each, and student tickets cost $2.00 each. if they took in a total of $1,200, which system of equations can be used to find x, the number of student tickets sold, and y, the number of adult tickets sold
Answer:
Step-by-step explanation:
Given that the sophomore class sold a total of 700 adult and student tickets to the school play. adult tickets sold for $4.50 each, and student tickets cost $2.00 each.
Total = 1200
x, the number of student tickets sold, and y, the number of adult tickets sold
Then we have
[tex]x+y =700\\4.5x+2y = 1200[/tex]
These are the system to solve for x