A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $13. For 8 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $18. Find the cost for each pound of walnuts and each pound of chocolate chips.

Answer:

c = 28.27 m

Step-by-step explanation:

This is the answer based on my math. I hope this helps you!

Answer: Circumference==2πr=28.28m

Step-by-step explanation:C=2πr

C=2×3.142×4.5=28.28m

Answer:

First equation: 1/2

Second equation: -1/3

Step-by-step explanation:

We get the following equations:

\(\frac{1}{3}x+\frac{1}{6}y=2\)          first equation

\(\frac{1}{2}x+\frac{3}{4}y=-3\)       2nd equation

Then, to obtain opposite terms for the x variable, we need to identify the coefficient of the x for the 1st equation and the 2nd equation as:

The coefficient for x in the 1st equation is \(\frac{1}{3}\) and the coefficient for x in the 2nd equation is \(\frac{1}{2}\)

Finally, we need to multiply 1st equation with the coefficient of the 2nd equation and multiply the 2nd equation with the negative of the coefficient of the 1st equation.

We multiply by the negative of the coefficient of the 1st equation because we need to find opposite terms for x.

So, the first equation is equal to:

\((\frac{1}{3}x+\frac{1}{6}y)*\frac{1}{2} =2*\frac{1}{2} \\\frac{1}{6}x+\frac{1}{12}y=1\)        

The second equation is:

\((\frac{1}{2}x+\frac{3}{4}y)*\frac{-1}{3} =-3*\frac{-1}{3} \\\frac{-1}{6}x+\frac{-1}{4}y=1\)

Now, the coefficients for x, 1/6 and -1/6, are opposite terms.

Answer:3, -2

Step-by-step explanation:

The required match of exponents is below the description with the correct solving steps in the solution part.

The product rule is an exponent rule that states that when you multiply similar bases, the add exponents.

For example, (a²)·(a³) = a²⁺³ = a⁵

1. How many times larger is 2 x 10⁻² then 3 x 10⁻⁶

Subtract by getting the same exponent to be like terms.

2. What is the difference between 2 x 10⁻² and 3 x 10⁻⁶?

Subtract coefficients and then add the exponents.

3. If you are 400 times 2 x 10⁻² away from the sun, how far are you?

Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents.

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The value of (3/10) cubed is:

(3/10)³ = (3³)/(10³) = 27/1000

Therefore, (3/10) cubed is equal to 0.027.

Answer:

27/1000 = 0.027

Step-by-step explanation:

To find the cube of 3/10, we need to multiply it by itself three times:

(3/10)³ = (3/10) x (3/10) x (3/10)

To multiply fractions, we multiply their numerators together and their denominators together. So, we have:

(3/10)³ = (3 x 3 x 3) / (10 x 10 x 10)

Simplifying the numerator and denominator, we get:

(3/10)³ = 27/1000

Therefore, the value of (3/10) cubed is 27/1000 = 0.027

Given:

The figure of a circle.

Measure of arc = 176°

Measure of angle = (27x+7)°

To find:

The value of x.

Solution:

We know that the measure of central angle is equal to measure corresponding intercepted arc and the measure of central angle is twice of the measure of subtended angle on that arc.

So, the measure of arc is twice of measure of subtended angle on that arc.

\(m(arc FH)=2\times m\angle FGH\)

\(176^\circ=2\times (27x+7)^\circ\)

\(\dfrac{176^\circ}{2}=(27x+7)^\circ\)

\(88^\circ=(27x+7)^\circ\)

Now,

\(88=27x+7\)

\(88-7=27x\)

\(\dfrac{81}{27}=x\)

\(3=x\)

Therefore, the value of x is 3.

The number of possible values that can be assigned to the type "logic" is 2, and the correct answer is option c.2.

In logic, the type "logic" refers to a variable or proposition that can take on one of two possible values: true or false.

These values are commonly denoted as 1 (true) and 0 (false), or alternatively as "T" and "F".

Since the type "logic" can only have two possible values, the correct answer is option c.2.

There are no other valid values for this type.

It is important to note that in some programming languages or systems, additional representations or extensions of logic may exist.

For example, some languages may include a "null" or "undefined" value in addition to true and false.

However, in the context of a basic logic type, the number of possible values remains restricted to two: true and false.

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Answer:

6/20 chance or a 3/10(same thing )

Step-by-step explanation:

there are 20 numbers and only six of the are over 7 making a 6/20 chance or 3/10

Answer:

n¹⁵

Key:

Step-by-step explanation:

\(\frac{n^{10}}{n^{-5}}\\=n^{10-\left(-5\right)}\\n^{10} = n10\\^{-5} = -5\\n10 - -5 = n15\\= n^{15}\)

Check the picture below.

so the seconds will be the value of "t" when h = 0, so

\(\stackrel{h}{0}=-16t^2+46t+6\implies 0=2(-8t^2+23t+3)\implies 0=-8t^2+23t+3 \\\\\\ 8t^2-23t-3=0\implies (t-3)(8t+1)=0\implies t= \begin{cases} -\frac{1}{8}&\bigotimes\\\\ 3&\checkmark \end{cases}\)

notice, the seconds value cannot be negative, so -1/8 is not a plausible value.

True. Running the r bind function on V1 and V2 would give a warning.

The rbind function in R is used to combine or bind vectors, matrices, or data frames by rows. However, when using rbind(), the vectors being combined should have the same number of columns.

In this case, V1 has 6 elements, while V2 has 5 elements. Since the number of columns doesn't match, the r bind function would give a warning indicating that the binding operation is not possible due to the mismatched number of columns.

When attempting to combine V1 and V2 using rbind, R would throw a warning message similar to: "number of columns of result is not a multiple of vector length (arg x)". This warning indicates that the operation cannot be performed as intended due to the unequal number of elements in the vectors.

Therefore, running the rbind() function on V1 and V2 would result in a warning.

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Answer:

7.48887238722

Step-by-step explanation:

if it is 420 cm CUBED then it would be the cubic root of 420 which is 7.48887238722

The solution to the equation is s = 12.

To solve the equation 9 + s = 21, we need to isolate the variable "s" on one side of the equation.

First, we can start by subtracting 9 from both sides of the equation to get rid of the constant term on the left side. This gives us:

s = 21 - 9

Simplifying the right side, we have:

s = 12

So the main answer to the equation is s = 12.

Start with the equation 9 + s = 21.

To isolate the variable "s", subtract 9 from both sides of the equation.

9 + s - 9 = 21 - 9

This simplifies to:

s = 12

Therefore, the solution to the equation is s = 12.

In conclusion, to solve the equation 9 + s = 21, we subtracted 9 from both sides of the equation to isolate the variable "s". The answer to the equation is s = 12.

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Answer:

Output equals imput minus 6

Step-by-step explanation:

First, we know that -2 is 1 of the Imputs.

Then we know 8 is the second Output

8 - (-2) so that means it would be minus 6 Imput.

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Output equals input times 4 is the function rule from the values in the table.

Looking at the values in the table, we can identify the function rule by analyzing the relationship between the input and output values.

The output values are obtained by applying specific operations to the input values.

Let's examine each statement and see which one matches the given input-output pairs:

Output equals input times -4:

When we multiply the input values by -4, we get the following output values:

\(-2 \times -4 = 8\)

\(0 \times -4 = 0\)

\(1 \times -4 = -4\)

\(3 \times -4 = -12\)

This function rule matches the given input-output pairs.

Therefore, the function rule that matches the values in the table is "Output equals input times -4."

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Answer:

2 radical 11

Step-by-step explanation:

hyp= short (2)

x= √11 (2)

x= 2√11

Answer:

K = 25 joules

Step-by-step explanation:

given

v = \(\sqrt{\frac{2K}{m} }\)

we require to find K

square both sides to clear the radical

v² = \(\frac{2K}{m}\) ( multiply both sides by m to clear the fraction )

mv² = 2K ( divide both sides by 2 )

\(\frac{mv^2}{2}\) = K

substitute m = 2 and v = 5 into the equation

\(\frac{2(5)^2}{2}\) = K ( cancel 2 on numerator/ denominator on left side )

5² = K , that is

K = 25 joules

we have that

the radius is

r=12.1 in

the volume of a sphere is

substitute the given values

Part 2

In this problem we have the diameter of the sphere

D=13.6 mm

so

r=D/2=13.6/2=6.8 in

substitute in the formula

___________________A

The function that represents the inequality of the given graph is;

Option A

From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.

Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.

Looking at the options, option A is right and we will prove it thus;

for y = x³ - 3

At x = 2, we see that;

y = 2³ - 3

y = 5

This corresponds with the given equation

For the second curve, for y = x² + 6;

At x = 2, we have;

y = 2² + 6

y = 4 + 6

y = 10

This corresponds with what is given and is thus correct.

Thus, option A is the correct answer

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Answer:

the product of the two integers is -80

Answer:

-80

Explanation:

it was on a mathcounts competition

Answer:

8(4n)=8(4n)

Step-by-step explanation:

Answer: =28n+7

Step-by-step explanation:

Answer:

answer is

Step-by-step explanation:

Answer:

final answer is: ABC, A (-5,1), B (-4,6) and C (-1,4)

Step-by-step explanation:

Original: ABC, A (2,-1), B (1,4) and C (-2,2)

translate 3 units to the right and 2 units up: ABC, A (5,1), B (4,6) and C (1,4)

reflected over the x-axis: ABC, A (5,-1), B (4,-6) and C (1,-4)

rotated 180°: ABC, A (-5,1), B (-4,6) and C (-1,4)

The required, as x continues to grow, the value of function f(x) will be greater than the values of g(x).

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
For the best comparison between the function we need to evaluate the slope of each function,
So,
slope of function f(x) = 40 - 10  / 2 - 1
slope of function f(x) = 30 / 1

Now,
slope of function g(x) = 12 - 6  / 2 - 1
slope of function g(x) = 6 / 1

So, the slope of function f(x) is greater than the slope of function g(x).

Thus, the required, as x continues to grow, the value of function f(x) will be greater than the values of g(x).

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For a 95% confidence level, the Z-value is 1.96.Hence, the sample size used for the analysis is 124.

Suppose a 95% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$46,872, $53,928]. The population standard deviation used for the analysis is known to be $12,600. Let us answer the given questions:

What is the point estimate of the mean salary of all college graduates in this town?

The midpoint of the confidence interval is the point estimate of the mean salary of all college graduates in this town. Therefore, the point estimate of the mean salary of all college graduates in this town is:

Point estimate = Midpoint of the confidence interval= [(Upper limit of the interval) + (Lower limit of the interval)] / 2= [($53,928) + ($46,872)] / 2= $50,400

Determine the sample size used for the analysis.

The sample size used for the analysis can be determined using the margin of error formula. The margin of error is half the width of the confidence interval.

ME = (Upper limit of the interval - Lower limit of the interval) / 2= ($53,928 - $46,872) / 2= $3,528

Sample size (n) is given by:

n = [(Z-value)² × σ²] / ME²

where Z-value is the Z-score corresponding to the confidence level, σ is the population standard deviation, and ME is the margin of error. For a 95% confidence level, the Z-value is 1.96. Therefore,Sample size (n) = [(1.96)² × ($12,600)²] / ($3,528)²= 123.48≈ 124

Hence, the sample size used for the analysis is 124.

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Answer:

2, 19, -3

Step-by-step explanation:

To calculate the travel time of light from an astronomical object to Earth, we need to convert the distance from miles to meters and then divide it by the speed of light. Here's a Python program that can perform this calculation:

def light_travel_time():

   miles_to_meters = 1609.34  # Conversion factor from miles to meters

   speed_of_light = 299792458  # Speed of light in meters per second

   distance_miles = int(input("Enter distance [miles] : "))

   distance_meters = distance_miles * miles_to_meters

   travel_time_seconds = distance_meters / speed_of_light

   hours = int(travel_time_seconds // 3600)

   minutes = int((travel_time_seconds % 3600) // 60)

   seconds = round(travel_time_seconds % 60, 1)

   print(f"Light travel time: {hours} h {minutes} m {seconds} s")

light_travel_time()

You can run this code and enter the distance in miles to get the corresponding travel time of light in hours, minutes, and seconds. Here are the results for the examples provided:

1. Distance: 240,000 miles

  Light travel time: 0 h 0 m 1.3 s

2. Distance: 93,000,000 miles

  Light travel time: 0 h 8 m 19.4 s

3. Distance: 3,000,000,000 miles

  Light travel time: 4 h 28 m 31.1 s

The program performs the necessary conversions and calculates the travel time based on the speed of light. The time is then displayed in hours, minutes, and seconds format.

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The ways in which a kindergarten teacher distributes the books are (a) 20 ways (b) 100 ways (c) 3,628,800 ways.

(a) There are 20 ways for her to distribute the books if they are all the same and no child gets more than one. Each of the 20 children can receive one of the five books.

(b) There are 100 ways for her to distribute the books if they are different and no child gets more than one. Each of the 20 children can receive one of the five different books, so there are 5x4x3x2x1 = 100 possible ways for her to distribute the books.

(c) There are 3,628,800 ways for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child. This is because each child can receive any number of books from 0 to 5. Therefore, there are 6x6x6x6x6 = 6^5 = 3,628,800 possible ways for her to distribute the books.

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The complete question is:

A kindergarten teacher has five books to distribute to 20 children in her class.

(a) How many ways are there for her to distribute the books if they are all the same and no child gets more than one?

(b) How many ways are there for her to distribute the books if they are different and no child gets more than one? If Charlie gets Green Eggs and Ham and Amanda gets The Cat in the Hat, that is a different distribution from the one in which Amanda gets Green Eggs and Ham and Charlie gets The Cat in the Hat.

(c) How many ways are there for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child?

The two binomials for the expression x(x − 8) − 9(x − 8) are (x - 8) and (x - 9).

What are the binomials expression ?

The expression x(x − 8) − 9(x − 8) can be simplified as follows:

x(x − 8) − 9(x − 8) = x² - 8x - 9x + 72

= x² - 17x + 72

To find the two binomials, we need to factor the expression \(x^2 - 17x + 72\). We can do this by finding two numbers that multiply to 72 and add to -17. Those numbers are -8 and -9. Therefore, we can write:

\(x^2 - 17x + 72 = (x - 8)(x - 9)\)

Hence, the two binomials for the expression x(x − 8) − 9(x − 8) are (x - 8) and (x - 9).

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There are 1525 ways to form foursomes that include one of the five board members.

To form foursomes that include one of the five board members, we can consider the following cases:

Case 1: Selecting one board member and three non-board members:

We have 5 choices for selecting a board member and (10-5) = 5 choices for selecting a non-board member. The remaining two non-board members can be selected in (10-2) = 8 ways. Therefore, the number of ways for this case is 5 * 5 * 8 = 200.

Case 2: Selecting two board members and two non-board members:

We have 5 choices for selecting the first board member, 4 choices for selecting the second board member, (10-5) = 5 choices for selecting the first non-board member, and (10-6) = 4 choices for selecting the second non-board member. Therefore, the number of ways for this case is 5 * 4 * 5 * 4 = 400.

Case 3: Selecting three board members and one non-board member:

We have 5 choices for selecting the first board member, 4 choices for selecting the second board member, 3 choices for selecting the third board member, and (10-5) = 5 choices for selecting the non-board member. Therefore, the number of ways for this case is 5 * 4 * 3 * 5 = 300.

Case 4: Selecting all four board members:

We have 5 choices for selecting each of the four board members. Therefore, the number of ways for this case is 5 * 5 * 5 * 5 = 625.

To find the total number of ways, we sum up the number of ways for each case: 200 + 400 + 300 + 625 = 1525.

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