Leslie has 6 bags of marbles. Each bag has 16 marbles. If
1
3
3
1
of the marbles are purple, how many purple marbles does Leslie have?
The quantity of purple marbles that Leslie has would be = 32 purple marbles.
How to calculate the quantity of purple marbles Lesile have?The number of bags of marbles that Leslie has = 6 bags.
The quantity of marbles that is found in each bag = 16 marbles.
Therefore the total number of marbles = 6× 16 =96 marbles.
The fraction of purple marbles that Leslie has = 1/3 of 96
Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32
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Complete question:
Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?
Isabella poured ten 25-liter pails of water into her pool. there was already 800 liters of water in the pool. how much water is in the pool after she is done?
Answer:
1025 - litres
Step-by-step explanation:
Each pail of water contains a volume of 25 - litres. Therefore, as she poured 10 of them into the pool, she poured (10 × 25 =) 250 litres.Now, the total should be the sum of the newly poured and the water volume already in the pool.Therefore, simple addition of the two values should give you the answer as 250 litres + 800 litres = (250 + 800) litres = 1050 litres.The hard part of this question for you should be how to calculate the volume Isabella added as it involves some multiplication and addition that need to be extracted from the description.Do practice more examples to familiarize yourself with these types.#SPJ4
in a group of 8 students, 5 are first-year students, while 3 are second-year students.in how many unique ways can we form three groups comprising 3, 3, and 2 students? (within group order does not matter)
The total number of ways to form 3 groups comprising of 3, 3 and 2 students is calculated by multiplying the individual numbers of ways, which results in 280.
The formula for calculating the number of unique ways to form three groups comprising of 3, 3, and 2 students is given by:
Number of ways = Number of ways to select 3 first-year students from 5 first-year students x Number of ways to select 3 second-year students from 3 second-year students x Number of ways to select 2 students from 8 students
=\(5C3 x 3C3 x 8C2\)
= 10 x 1 x 28
= 280
Therefore, there are 280 unique ways to form three groups comprising 3, 3, and 2 students. This can be seen by considering the total number of possible arrangements of the 8 students into 3 groups of 3, 3 and 2. First, we need to select 3 students from 5 first-year students in 5C3 ways, which is equal to 10. Second, we need to select 3 students from 3 second-year students in 3C3 ways, which is equal to 1. Finally, we need to select 2 students from 8 students in 8C2 ways, which is equal to 28. Therefore, the total number of ways to form 3 groups comprising of 3, 3 and 2 students is calculated by multiplying the individual numbers of ways, which results in 280.
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Answer this so i can get a good math grade
Answer:
64 degrees is the answer
hope it helpedHELP ME PLEASE PLEASE
Answer:6=C 7=C
Step-by-step explanation:
I will give brainlist!
-8/13 x 26/-3 = -208/-39 = 16/3.
16/3, D
Answer:
D. (16/3)
Step-by-step explanation:
-8 26
------- × -------
13 -3
Multiply the top and the bottom together.
--------------------------------
-8 x 26 = -208
13 x -3 = -39
---------------------------------
-8 26 -208
------- × ------- = --------
13 -3 -39
Simply the fraction
-208 ÷ 13 -16
------------ = ----------
-39 ÷ 13 -3
Cancel out the negatives
-16 16
------- = -------
-3 3
I hope this helps!
(-3 - 4 = -4 - 3)
does this equation imply that subtraction of integers is commutative? if yes, give more such example to prove that it is commutative. if no, why do you this it is not commutative?
The equation you provided, -3 - 4 = -4 - 3, does not imply that subtraction of integers is commutative. In fact, subtraction of integers is not a commutative operation.
The equation you presented demonstrates the property of additive inverse, where the negative of a number is the additive inverse of that number. In this case, both sides of the equation result in the same value (-7), but it does not illustrate commutativity.
To show an example of a commutative operation, we can look at addition of integers:
For example:
3 + 4 = 7
4 + 3 = 7
In this case, the order of the integers being added does not change the result, illustrating the commutative property of addition.
However, subtraction does not exhibit this property. For instance:
3 - 4 = -1
4 - 3 = 1
In this case, swapping the order of the subtraction operation changes the result, indicating that subtraction is not commutative.
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Please help me this one is to hard
Answer:
Hello!!
The translation which shifts the graph of \(f(x)=3x+3\) onto \(g(x)=3x-3\) is...
6 units down
Hope this helps!!
1.) Is the graph above a function? Why
2.) What is maximum of the graph above?
3.) What are the X and Y-intercept(s) of the graph above? [answers are to be written as ordered pairs]
4.) What is the domain of the graph above?
5.) What is the rang of the graph above?
Need help ASAP! Please show the work, tysm if you help you're a life saver.
Answer:
Working is attached below with answers.
What is the distance between the two points?
help me with this question please
Answer:
N+1
Step-by-step explanation:
It begins with = 2
then n+1=3
then n+2=4 and so on it is n+1
Please help me graph #9.
Please help! I will do anything.. I tried so hard yet I'm failing and crying! I'll give the crown to u and try giving 100 points! Just answer it simply thts it!
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds:
Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points)
Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points)
Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points)
Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds. Use complete sentences to support your answer. (3 points)
Answer:1) (0-2)sec 2) (2-4) sec and (10-14)sec
Step-by-step explanation:
1) Since the graph has a positive slope during time interval 0-2 sec ..the height of the balloon was increasing during this time
2) since the slope is 0 from time interval (2-4) and (10-14)
the height of the balloon remains same during these time
Anybody want to help with math?
10 + 23 / (4 + 1 + 10) - 200 + 365
Ty :)
Answer:
176.53
Step-by-step explanation:
All i didnwas just solve the math on paper and u could use a caculator
Answer:
33/-550
Step-by-step explanation:
Add
Hope it help
NEED HELP ASAP PLEASE!!
NEED HELP ASAP PLEASE!!!! Which facts are true for the graph of the function below? Check all that apply.
F(x) = logo 0.725 X
O A. The x-intercept is (1,0).
B. The range is all real numbers.
in C. The domain is x > 0.
D. It is increasing.
E. The y-intercept is (0,4).
OF. It is decreasing.
The facts which are true for the graph of the function given f(x)= log 0.725 x are;
The domain is x > 0.The range is all real numbers.What is a logarithm?We say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'. This is another approach to indicate the power of numbers.
\(a^b\) = c
and, b log a =c
As a function's range is the set of all feasible values of f(x), its domain is the set of all possible values of x.
On that note, any number in the range x=0 causes the function to be undefined, hence the function's range is x> 0.
Also f(x) can be any real number, the set of all real numbers comprises the function's range.
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Angle 1 and Angle 5 are examples of which type of angle pair?
Answer:
You forgot the image
Step-by-step explanation:
The back to back stem plot shows the number of books read in a year by a group of high school and college students which statements are correct?
The correct statement are:
The range for high school students is larger than college students.The college median is equal to the high school median.Based on the given information, we can make the following conclusions:
A. The interquartile range for high school students is smaller than college students.
The statement is False
B. The mean for high school students is smaller than college students.
The statement is False because the mean of College is 25.28 and mean for High school is 30.4.
C. The range for high school students is larger than college students.
The statement is True .
D. The college median is equal to the high school median.
The statement is True because the median for both is 24..
E. The mean absolute deviation is larger for college students than high school students.
The statement is False.
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Help me please! I’m stuck
Answer:
123⁰
Step-by-step explanation:
This type of angle is a vertical angle. Vertical angles have the same measurements on the opposite side. 123⁰ is on one side and the opposite of the vertical angle is the same measurement of 123⁰.
Answer: 123
Step-by-step explanation: because x is between the two lines that make up 123 so therefore making x the same
Find the sum of the first 15 terms: {12, 36, 108, . . . }.
Answer:
Step-by-step explanation:
hello : here is an solution
The temperature on an outdoor thermometer on Monday was 10.7 °C. The temperature on Thursday was 3.95 degrees less than the temperature on Monday. What was the temperature on Thursday?
Answer:
6.75
Step-by-step explanation:
just do 10.7-3.95
How many hours are in 40% of a week?
Answer:
67.2 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
67.2 hours are in 40% of a week.
A triangle has a base that measures 6.4 feet. Its height measures 5 feet. How many square feet is the area of the triangle?
Answer:
16 feet
Step-by-step explanation:
Area of triangle = 1/2(a x b)
A = 1/2(6.4 x 5)
A = 32/2
A = 16 feet
There are 10 marbles in a bag. are red and the others are blue. 5 What is the ratio of red marbles to blue marbles? Question 11 * 1 There are 10 marbles in a bag . are red and the others are blue . 5 What is the ratio of red marbles to blue marbles ?
Answer:
%50 1÷2
if there is missing information. if there is 10 total marbels 5 would be red, 5would be blue.
Help!! Which graph corresponds to the equation
The graph of the function x^2/9 - y^2/49 = 1 is graph (d)
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
x^2/9 - y^2/49 = 1
The above equation is an hyperbola
An hyperbola that has its center at the origin is represented as
x^2/a^2 - y^2/b^2 = 1
Using the above as a guide, we have the following:
a^2 = 9
b^2 = 49
Evaluate
a = ±3
b = ±7
This means that the semi-major axis is a = 3 and the semi-minor axis is b = 7.
The graph with the above feature is graph (d)
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Explain why there are only three variables in the expression f(x) = a(b)^x + c as it relates to transformations of an exponential function
Answer:
Option A.Exponential decay, 55% decrease
we have
This is a exponential function of the form
where a is the initial value
b is the base
b=(1+r)
r is the rate of change
In this problem
a=54
b=0.45
so
0.45=1+r
r=0.45-1
r=-0.55
Convert to percentage
r=-55% ------> is negative because is a exponential decay
If hector is 8 years old and Marry is 3 years old, how old will marry be when hector is 16.
PLEASE SHOW ME WHAT FORMULAS TO USE IN EACH CELL ON EXCEL! ALSO PLEASE SHOW ME HOW TO ENTER IT INTO SOLVER BECAUSE I AM DOING IT INCORRECTLY. 3.4A SPREADSHEET: 3.4. Consider a resource-allocation problem having the following data. Contribution per unit \( = \) protit per unit of the activity. a. Formulate and solve a linear programming model for this problem
To formulate and solve a linear programming model for the resource-allocation problem in Excel, you will need to use the appropriate formulas in each cell. Additionally, you can utilize Solver to optimize the solution.
In Excel, you can use the SUMPRODUCT formula to calculate the contribution per unit by multiplying the profit per unit of each activity by the corresponding allocation. For example, if the profit per unit of activity A is in cell B2 and the allocation for activity A is in cell C2, you can use the formula "=B2*C2" to calculate the contribution per unit for activity A.
To formulate the linear programming model, you will need to define the objective function and the constraints. The objective function represents the goal you want to maximize or minimize, while the constraints specify the limitations on the resources or activities.
To set up Solver, go to the Data tab in Excel and click on Solver. In the Solver Parameters dialog box, you need to specify the objective cell (the cell containing the formula for the total contribution), select the optimization type (maximize or minimize), and add the constraints. The constraints can be added by clicking on the Add button and specifying the cell references for the constraints.
Once Solver is set up, you can click Solve to find the optimal solution that maximizes or minimizes the objective function while satisfying the constraints.
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Determine the rank of matrix A if possible from the given information.
a. A is an n-by-n matrix with linearly independent columns.
b. A is a 6-by-4 matrix and Null(A)={0}.
c. A is a 5-by-6 matrix and dim(bull(A))=3.
d. A is a 3-by-3 matrix and det(A)=17.
e. A is a 5-by-5 matrix and dim(Row(A))=3.
f. A is an invertible 4-by-4 matrix.
g. A is a 4-by-3 matrix and Ax=b has either a unique solution or else no solution.
The rank of matrix A can be determined based on the given information in the question is as follows.
The rank of a matrix refers to the maximum number of linearly independent columns (or rows) in the matrix. From the given information:
a. Since A has linearly independent columns, the rank is equal to n, where n is the number of columns.
b. If Null(A)={0}, it means that the only solution to the homogeneous equation Ax=0 is the trivial solution (where x=0). This implies that the columns of A are linearly independent. Since A is a 6-by-4 matrix, the rank is equal to the number of columns, which is 4.
c. The dimension of the null space (denoted as dim(Null(A))) is equal to the number of linearly independent solutions to the homogeneous equation Ax=0. In this case, dim(Null(A))=3, which means that there are 3 linearly independent solutions. Since A is a 5-by-6 matrix, the rank can be found by subtracting the dimension of the null space from the number of columns: rank(A) = 6 - dim(Null(A)) = 6 - 3 = 3.
d. The determinant of a square matrix measures its invertibility. If det(A) is non-zero, it means that A is invertible, and an invertible matrix has full rank. Therefore, the rank of A is equal to the number of columns, which is 3.
e. The dimension of the row space (denoted as dim(Row(A))) represents the number of linearly independent rows in A. Since dim(Row(A))=3, it means that there are 3 linearly independent rows. Thus, the rank of A is 3.
f. An invertible matrix is non-singular and has full rank. Therefore, if A is a 4-by-4 invertible matrix, its rank is equal to the number of columns, which is 4.
g. If the system Ax=b has either a unique solution or no solution, it means that the column space of A has dimension 3. Hence, the rank of A is 3.
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a circle is tangent to the $y$-axis at the point $(0,2)$ and passes through the point $(8,0),$ as shown. find the radius of the circle.
The circle has a radius of 4 units.
Let the circle's radius be $r$ and its centre be $(a,b)$.
The circle's centre must be on the line $x=a$ that passes through $(0,2)$ perpendicular to the $y$-axis since the circle is tangent to the $y$-axis at $(0,2)$.
We may formulate an equation involving the distance between $(8,0)$ and $(a,b)$, which is equal to the radius $r$, because the circle passes through $(8,0)$. The distance formula gives us:
$\sqrt{(a-8)^2+b^2}=r$
We know that $a$ is the distance between the centre and the $y$-axis, which is equal to the radius $r$, because the centre is on the line $x=a$.
As a result, we have:
$a=r$
This can be used to solve the previous equation for:
$\sqrt{(r-8)^2+b^2}=r$
Squaring both sides of the equation, we get:
$(r-8)^2+b^2=r^2$
Simplifying, we get:
$r^2-16r+64+b^2=r^2$
$b^2=16r-64$
Since $(0,2)$ lies on the circle, we have:
$(0-a)^2+(2-b)^2=r^2$
Substituting $a=r$ and simplifying, we get:
$r^2-4r+4+b^2=r^2$
$b^2=4r-4$
Now we have two equations involving $r$ and $b^2$, which we can solve simultaneously. Substituting $b^2=16r-64$ from the first equation into the second equation, we get:
$16r-64=4r-4$
Solving for $r$, we get:
$r=4$
Therefore, we know radius of this circle will be 4 units.
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