If [tex]\frac{1}{4}[/tex] of fruit punch is pineapple juice. About [tex]\frac{1}{6}[/tex] of the fruit punch is orange juice, then fraction of punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .
The fraction of pineapple juice in fruit punch is = [tex]\frac{1}{4}[/tex] ;
the fraction of orange juice in fruit punch is = [tex]\frac{1}{6}[/tex] ;
the equation that can be used to find the fraction of fruit punch that is pineapple juice or orange juice is
⇒ [tex]Frcation Of (Pinapple Juice +Orange Juice)[/tex]
substituting the values ,
we get the equation as ;
⇒ [tex]\frac{1}{4} +\frac{1}{6}[/tex]
taking LCM as 4 and 6 as 12 and solving further ,
we get ;
⇒ [tex]\frac{3}{12} +\frac{2}{12}[/tex] ; = [tex]\frac{5}{12}[/tex] .
Therefore , the fraction of fruit punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .
The given question is incomplete , the complete question is
About 1/4 of fruit punch is pineapple juice. About 1/6 of the fruit punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice .
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What is the largest prime factor of 999?
Answer:
37
Hope this helps :)
Willl mark you brainlieestttt
Answer:
7/12
Step-by-step explanation:
y = 12
x = 7
y = Kx
K = y/x
K = 7/12
How many solutions does 2 variables have?
A linear equation in two variables has only 1 solution.
Now, According to the question:
Let's know:
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2. Whereas if we speak about linear equation in two variables, it has two solutions.
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0.
A linear equation in two variables has only 1 solution.
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If you flip a coin ten times, how many different sequences of heads and tails are possible? a. b. c. d.
The number of possible different sequences of heads and tails is 1024.
A list of numbers (or other components) that follow a specific pattern is called a sequence. An arithmetic progression is one of the common examples of sequence and series.
A sequence can be arranged in either ascending or descending order.
Each flip has two outcomes H or T, so in ten flips you can get a sequence like HTHHTHTTTH
The number of possible different sequences is simply 2*2*2*2*2*2*2*2*2*2 = 2^10 = 1024
Thus, The number of possible different sequences of heads and tails is 1024.
Complete question:
If you flip a coin ten times, how many different sequences of heads and tails are possible?
a. 2° = 512
b. 10 = 100
C. 102 = 1024
d. 210 = 1024
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What is median?
the sum of values in a set of data multiplied by the number of values in the set
the sum of values in a set of data divided by the number of values in the set
the middle value in a data set when the values are put in order
the value that occurs most often in a data set
the middle value in a data set when the values are put in order
For example, the set {3,1,2} sorts to {1,2,3} where the median is 2.
Another example: The set {1,2,3,4} has 2 and 3 tied for the middle most position. The midpoint is (2+3)/2 = 5/2 = 2.5 which is the median.
How do you compare two slopes on a graph?
Two slopes can be compared on a graph by analyzing the steepness of the lines and their direction (positive or negative).
The steepness of a line on a graph is determined by its slope, which is the ratio of the change in y to the change in x (rise over run). A steep line has a large slope, meaning that for a small change in x, there is a large change in y. A shallow line has a small slope, meaning that for a small change in x, there is a small change in y. To compare two slopes, one can compare the steepness of the lines by comparing the absolute value of the slopes.
If one line has a larger absolute value than the other, it is steeper. Additionally, one can also compare the direction of the slope, which is determined by the sign of the slope. A positive slope indicates that the line is increasing and a negative slope indicates that the line is decreasing. By comparing the steepness and direction of the slopes, one can determine whether the two lines are parallel or not, and whether they are going in the same direction or not.
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a wheel having a diameter of 50 cm. if the elf travels a distance of 25 meters. how many revolutions did the wheel go through
Approx 16 revolutions the wheel go through to travel the distance 25 meters by a diameter of 50 cm.
In the given question, a wheel having a diameter of 50 cm.
If the elf travels a distance of 25 meters then we have to find how many revolutions did the wheel go through.
Since we have the wheel's diameter, we can determine the radius of the wheel. As we already know, the length of a wheel's revolution is equal to its circumference, which is a circle with a diameter of 2πr.
We will now enter the radius value into the algorithm to determine how many revolutions the wheel must make. To reach the desired result, divide the total distance by the distance covered in one revolution to determine the number of revolutions needed to travel 25 m.
r = [tex]\frac{50}{2}[/tex] = 25 cm
The radius of the wheel is 25 cm.
Now we put the value of r in the formula of circumference.
2πr = 2π×25
2πr = 50π cm
Total distance is 25 m. So we convert m in cm by multiplying the 100.
Now the total distance is 2500 cm.
2500 = n × 50π
Now putting the value of π = 3.14
2500 = n×50 × 3.14
2500 = n×157
Divide by 157 on both side, we get
n = 15.924
n = 16(approx)
Hence, approx 16 revolutions the wheel go through to travel the distance 25 meters by a diameter of 50 cm.
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How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown
9 non-congruent squares can be drawn.
What is non-congruent squares?Non-congruent squares are two squares with different side lengths. These two squares can be drawn separately and still have four right angles and four equal sides, but the lengths of the sides are not the same. Non-congruent squares are a type of quadrilateral and have both diagonals and parallel sides. These shapes can be used to create a variety of geometric designs and patterns, and often appear in art and architecture.
Each of the four corners of the 5 by 5 grid can be the vertices of a square, and the middle of each side of the 5 by 5 grid can be the vertices of a square. This makes eight non-congruent squares in total. Additionally, the center point can be the vertex of another non-congruent square, making nine in total. All of these squares are constructed from lattice points, and none of them are congruent to each other.
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Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.)
The domain and range of the functions are Domain: (-∞,∞),{x|x∈R} and Range: [4,∞),{y|y≥4}.
What is vertex form of a quadratic function of graph?The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
From the graph, vertex is (h, k)=(0, 4) and (x, y)=(2, 0)
Here, y= a(x - h)² + k
0=a(2-0)+4
-4=2a
a=2
Substitute, a=2 and (h, k)=(0, 4) in y= a(x - h)² + k, we get
y=2(x-0)²+4
y=2x²+4
So, f(x)=2x²+4
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (-∞,∞),{x|x∈R}
Range: [4,∞),{y|y≥4}
Now,
(a) f(-3)= 2(-3)²+4=18
(b) f(2)= 2(2)²+4=12
(c) f(0)= 2(0)²+4=4
(d) f(3)= 2(3)²+4=18
Therefore, the domain and range of the functions are Domain: (-∞,∞),{x|x∈R} and Range: [4,∞),{y|y≥4}.
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Which of the following equations describes the nth term for the sequence 3/5,1/5,1/15,1/45,\cdots2
A. an = 1/3 (3/5)n-1
B. an = 1/3 (3/5)n
C. an = 3/5 (1/3)n-1
D. an = 3/5 (1/3)n
The equation which describes the nth term for the sequence 3/5,1/5,1/15,1/45,\cdots2 is an = 3/5 (1/3)n-1 , which is option C.
We use the formula an=a1+(n−1)d an = a1 + (n−1)d , to calculate the nth term of a given sequence. The 'n' here represents a number.
Using the nth term we can any number on the sequence which allows us to locate any term in a series.
By substituting different values for the term number, we can create a series utilizing the nth term (n).
To find the tenth term we use the sequence formula and substitute a random number in place of n.
Example if we need to find the first 50 term then we will substitute n as 50.
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write as the opposite of a square root: -2 times square root of 3
the answer would be -144
you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144
use your calculator to determine the percent of each number a.1% of 28 =
Answer:
0.28
Step-by-step explanation:
1% = 0.01
0.01 × 28 = 0.28
The figure was created by repeatedly reflecting triangle NMP.
A figure is created by continuously reflecting triangle N M P. The length of side N M is 6 inches, the length of side M P is 4 inches, and the length of side N P is 8 inches.
The scale factor of the dilation of segment HG is One-sixth.
Point P is the center of dilation. Line segment H G is dilated to form shorter line segment H prime G prime. The length of P G prime is 0.5
If PG' equals 0.5 units, what is PG?
2.5 units
3 units
4.5 units
6 units
The length of PG if PG' is 0.5 units is; 3 units.
What is dilation?The act or action of enlarging, expanding, or widening : the state of being dilated: such as. : the act or process of expanding (such as in extent or volume)
Here, given that,
Dilation is simply defined as the shrinking or enlarging of an object by a scale factor.
Now, we are told that Line HG is dilated to form a shorter line H'G'.
We are told that the scale factor is 1/6.
Point P is the center of dilation and if PG' is 0.5 units, then we can write the relation as follows;
Length of PG'/Length of PG = 1/6
Thus;
0.5/length of PG = 1/6
Length of PG = 0.5/(1/6)
Length of PG = 4 units
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the survey is a research method in which: group of answer choices individuals are carefully observed in their natural environments. a representative, random sample of individuals are questioned regarding their attitudes or behaviors. an individual is studied in great depth. an investigator determines the extent to which two variables influence each other.
The correct answer is A representative, random sample of individuals are questioned regarding their attitudes or behaviours. (Option B)
A) "Individuals are carefully observed in their natural environments" is a description of participant observation, which is a type of qualitative research method. In this method, researchers observe and interact with individuals in their natural environments in order to understand their behaviours and attitudes in context. This method is often used in fields such as anthropology, sociology, and psychology.
B) "A representative, random sample of individuals are questioned regarding their attitudes or behaviours" describes a survey, which is a quantitative research method. Surveys are used to gather information from a representative sample of individuals in order to make inferences about a larger population. Surveys can be conducted in various ways, such as through phone calls, mail or online and can be used to study the attitudes, behaviours, and characteristics of a population.
C) "An individual is studied in great depth" is a description of a case study, which is a qualitative research method. In this method, a researcher closely examines an individual or a small group of individuals in order to gain a detailed understanding of their experiences, behaviours, and attitudes. Case studies are often used in fields such as psychology, sociology, and anthropology.
D) "An investigator determines the extent to which two variables influence each other" is a description of a correlation study, which is a quantitative research method. In this method, the researcher examines the relationship between two or more variables. The researcher measures the values of the variables for a sample of individuals, and then uses statistical methods to determine the degree of association between the variables, and if there is a causal relationship or not.
Thus, The correct answer is A representative, random sample of individuals are questioned regarding their attitudes or behaviours. (Option B)
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A student has two different samples of soils. She drops a small amount of water on each sample and squeezes the soil in her hand. Her results are shown below. one hand shown holding crumbly soil, the other hand with soil held together and smooth Which statement best describes this test? A. The student is testing each soil's permeability, and soil X is more permeable than soil Y. B. The student is testing each soil's porosity, and soil Y is more porous than soil X. C. The student is testing each soil's texture, and soil Y has more clay than soil X. D. The student is testing each soil's minerals, and soil X has more minerals than soil Y.
The student is testing each soil's permeability, and soil X is more permeable than soil Y. The correct option is A.
What is an experimental approach?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
Porosity can be defined as the quality of the material having pores or holes. The permeability can be defined as the state or quality of a material that allows liquids or gases to pass through it.
The soil which does not hold much water can be considered of high porosity and high permeability. As it is only possible if the soil has a large number of pores and it is not in compact form.
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A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy. 515x 285y
Answer:
515 x + 285 y = 11080
x + y = 30
Step-by-step explanation:
A car is traveling at a speed of 61 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 20 minutes? Do not round your answers.
The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A car is traveling at a speed of 61 kilometers per hour.
Convert the speed into a kilometer per minute. Then we have
Speed = 61 / 60
Speed = 1.01667 kilometers per minute
Then the number of kilometers will the car travel in 20 minutes will be given as,
1.01667 = d / 20
d = 1.01667 x 20
d = 20.33 kilometers
The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.
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The 44 members of the glee club are trying to raise at least $6,000 so they can compete in the state championship. They already have $1,220. What inequality can you enter to find the amount each member must raise, on average, to meet the goal?
The inequality that represents the situation is
The inequality that represents the situation is 45x + 1240 ≥ 6000
There are 45 members overall.
If one individual contributes $x, then
The sum that 45 individuals together raised is then equal to 45x.
$6000 is the bare minimum necessary to enter the competition.
$1240 is the amount they already have.
Therefore, the amount they need to raise is $6000 minus $1240.
Inequality can be displayed as:
45x ≥ 6000 - 1240
This demonstrates that the total amount raised by 45 individuals (45x) should be equal to or more than the sum they need to raise ($6,000 - $1240).
change the equation's order;
45x + 1240 ≥ 6000
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(Help within 5 minutes)
A small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded. The results showed that 150 of the adults who were parents and 40 of the adults who were not parents thought the park should be expanded.
Use this information to complete the two-way table.
Enter your answer by filling in the boxes to complete the table.
Should the park be expanded?
Yes No
Parents
Not parents
The park should be expanded based on the information as the majority want the expansion.
How to illustrate the information?From the information, on the small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded.
Also, the results showed that 150 of the adults who were parents and 40 of the adults who were not parents thought the park should be expanded.
Based on the above the number of people that wants the expansion will be:
= (150 + 40) / 250 × 100
= 190 / 250 × 100
= 76%
It should be expanded.
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PLS HELP I HAVE NO IDEA
Complete the remainder of the table for the given function
y=x/2 + 5
Answer:
Step-by-step explanation:
(-2,4)
(0,5)
(2,6)
(4,7)
Answer: 4, 5, 6, 7,
Step-by-step explanation: From the formula y = x / 2 + 5
substitute x with the value -2
It becomes -2 / 2 + 5
that equals 4
then do the same for the rest
when x = 0
y = 0 / 2 + 5
y = 5
when x = 2
y = 2 / 2 + 5
y = 1 + 5
y = 6
when x = 4
y = 4 / 2 + 5
y = 2 + 5
y = 7
I hope this was helpful
The scale model of a statue is 1 inch to 11.2 feet. If the model is 5.8 inches, what is the length, in feet, of the actual statue?
The length of the actual statue in feet would be = 64.96 ft
What is scale model?A scale model is defined as the the exact type of an object but with a different measurement.
The scale model of a statue = 1 In = 11.2 ft
The length of the model = 5.8 inches
Therefore it length in feet = X ft
That is; 1 in = 11.2 ft
5.8 in = X ft
make X ft the subject of formula;
X ft = 5.8 × 11.2 = 64.96 ft
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Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.
5(x - 10)
Answer here _________
The value of the expression using the distributive property is 5x + 50.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5 (x - 10)
The distributive property of multiplication over addition states that,
a x (b + c) = a x b + a x c
Now,
5 (x - 10)
= 5x + 5 x 10
= 5x + 50
Thus,
The expresssion is 5x + 10
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Solve x^2+2x>15 algebraically and graphically, brainliest to the best detailed answer, including the steps.
The algebraic solutions are x < -5 and x > 3.
The graph is given below.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x² + 2x > 15
x² + 2x - 15 > 0
x² + (5 - 3)x - 15 > 0
x² + 5x - 3x - 15 > 0
x(x + 5) - 3(x + 5) > 0
(x - 3)(x + 5) > 0
x + 5 > 0 and x - 3 > 0
x < -5 and x > 3
The graph is given below.
Thus,
x < -5 and x > 3 is the solution.
The graph is given below.
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Kathy wants to place a printer from the filing cabinet. Can the other two distances shown be and ? Identify the answer with the correct explanation.
No. the sum of any two lengths of the triangle is greater than the third length.
Option (A) is correct.
What is a triangle?A triangle is a polygon with three edges and three vertices. In Euclidean geometry, a triangle is completely determined by the three points that make up its vertices.
Kathy wants to place a printer 9ft from the filing cabinet. Can the other two distances are shown to be 7ft and 2ft.
No the sum of any two lengths of the triangle should be greater than the third side.
but 7 + 2 = 9, so the condition for a triangle is false.
Hence, the correct explanation would be "No. the sum of any two lengths of the triangle is greater than the third length."
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Kathy wants to place a printer 9ft from the filing cabinet. Can the other two distances shown be 7ft and 2ft? Identify the answer with the correct explanation. Printer Desk Filing Cabinet
O Yes; the sum of any two lengths is greater than the third length.
O No; the sum of any two lengths is not greater than the third length.
O Yes; the sum of any two lengths is equal to the third length.
O No; the sum of any two lengths is greater than the third length
Answer:
No; The sum of any two lengths is NOT greater than the third length
Step-by-step explanation:
It is given that three objects, a desk, a filing cabinet, and a printer, form a triangle.
Use the Triangle Inequality Theorem to determine whether the given distances can be the lengths of the sides of a triangle.
9+7=16>2
9+2=11>7
7+2=9=9
The sum of one pair of lengths is equal to the third length. Therefore, the distances between the desk, the printer, and the desk and the filing cabinet cannot be 7ft and 2ft since 7+2 equals 9.
According to the direct instruction, what is the recommended amount of servings for milk or milk products per day?
a.5 cups
b.3 cups
c.1 cup
Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.
What are dairy products ?Food items manufactured from (or containing) milk are referred to as dairy products or milk products (also known as lacticinia).
The cow, water buffalo, nanny goat, and ewe are the most popular dairy animals.
Dairy products include staples from Western grocery stores including yogurt, cheese, and butter.
A dairy is a place where dairy products are made .Various amounts of dairy products are consumed worldwide (see consumption patterns worldwide) .
After standardizing the fat content and optional homogenization or pasteurization, milk is produced in a variety of grades with the potential addition of the microorganisms Streptococcus lactis and Leuconostoc citrovorum.
Based on the type of product generated, milk can be divided into a number of distinct categories, including cream, butter, cheese, newborn formula, and yogurt.
Hence, Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.
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a+ 1 1/6 = 11 7/9
...........................
Answer:
a = 191/81
Step-by-step explanation:
a+ 1 1/6 = 11 7/9
1 1/6 = 7/6
11 7/9 = 106/9
So, our equation is
a + 7/6 = 106/9
Subtract 7/6 from both sides
a = 191/81
So, the answer is
a = 191/81
the current ratio of Sara's sales to Ravi's sales is 100:2 would you earn a greater total commission with Sara or Ravi?
as a professional artist assume you will make pieces of art that sell at the same sales ratio as the artist with whom you apprenticed. would you earn more as a professional after apprenticed for Sara or Ravi?
One would earn more if one apprenticed for Sara as a professional artist as evident judging from the current sales ratio and commission rates.
Which of Sara and Ravi guarantees more earnings after apprenticeship?As evident in the task content; the current ratio of Sara's sales to Ravi's sale is 100 : 2.
Since Sara's pieces of art sell for $25, the total earnings is; 25 × 100 = $2500.
Hence, since the commission rate is 60%, it follows that the commission earned on sales of Sara's pieces is; 60% of 2500 = 0.6 × 2500 = $1500.
Also, since Ravi's pieces each cost $2000, it follows that for 2 pieces, the total earnings is; 2 × $2000 = $4,000.
Hence, since the commission rate for Ravi's pieces is 25%, the commission earned is therefore; 25% of 4000 = 0.25 × 4000 = $1000.
Ultimately, one would earn more if one apprenticed for Sara.
Complete question; Sara's pieces of art sell for $25 each your commission is 60%.
Ravi's pieces of art sell for $2000 each and your commission is 25%.
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5 1/8+ 6 1/8 in simplest form
Answer: The answer is 11 1/4
Step-by-step explanation:
Let x represent the number of laptops. Let y represent the number of smartphones.
Sully earns $80 by selling a laptop and $60 by selling a smartphone. He wants to make a profit of at least $6,800. Write an inequality to model the amount Sully earns by selling laptops and smartphones
Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.
What is inequality?Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<
Here,
Let the quantity of sold laptops, x
y —- the quantity of sold smartphones
The fact that to solve this problem we use inequality help
The problem's underlying inequity is equal to
=> 80x + 60y ≥6800
Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.
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OK SO, Sonja has a bank account balance of $1400. Each week, her balance changes by -$85.25. She wants to keep the balance above $377.
How many weeks will Sonja's balance remain above $377?
Select from the drop-down menu to correctly complete the statement.
There are 12 weeks will Sonja's balance remain above $377.
What is account balance?
The balance is the sum owed on an account in banking and accounting. The term "balance" in bookkeeping refers to the difference between the total of debit entries and the total of credit entries made into an account over the course of a given financial period. The account shows a debit balance when total debits exceed total credits.
Given:
Sonja has a bank account balance of $1400. Each week, her balance changes by -$85.25. She wants to keep the balance above $377.
We have to find the number of weeks will Sonja's balance remain above $377.
Let, $1400 - $377 = $1023.
⇒ $1023 / $85.25 = 12
Hence, there are 12 weeks will Sonja's balance remain above $377.
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