A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 4 large boxes and 8 small boxes has a total weight of 125 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. How much does each type of box weigh?

To measure out exactly 1 gallon of water we need exactly six possible number of moves.

To measure out exactly 1 gallon of water using two jugs, one with a 3-gallon capacity and one with an 5-gallon capacity, you can follow some steps

Fill the 5-gallon jug with water completely. Pour the water from the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of water in the 5-gallon jug.

Empty the 3-gallon jug completely. Pour the 2 gallons of water from the 5-gallon jug into the empty 3-gallon jug.

Fill the 5-gallon jug with water again. Pour water from the 5-gallon jug into the 3-gallon jug until it is full, which will leave exactly 1 gallon of water in the 5-gallon jug.

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Answer:

0.9/3=0.3 First one

Step-by-step explanation:

0.9/3=0.3

The boxes are being divided into 3 equal parts and each section has 0.30 squares

Answer:

The answer is A: 0.9÷3=0.3

Step-by-step explanation:

The boxes are equally divided into thirds

Answer:

-5

Step-by-step explanation:

Cube root of -125 has to be -5

Answer:

there are 260 boys so D

Step-by-step explanation:

divide 312 by 6 then multiply that by 5

Brainliest plz

Answer: there are 260 boys

Step-by-step explanation:

Step-by-step explanation:

\((3m - 2m)(9m {}^{2} + 6m + 4 {m}^{2} )\)

2.

\((p + 5q)( {p}^{2} - 5qp + 25q {}^{2} )\)

3.

\(25(2x + 1) {}^{2} \)

4.

\( \: (2x - 1)(x + 5) \)

5.

\((a + 5b)( {a}^{2} - 5ba + 25 {b}^{2} )\)

6.

\((x - 3)(2x - 5)\)

7.

\((x + 2)(x + 8)\)

8

\((x - 3)(x - 6)\)

9.

\((x - 6)(x + 4)\)

10.

\((x - 9)(x - 4)\)

11.

\((3x +5 )(x - 2)\)

12.

\((2x - 3)(x - 5)\)

13.

\((8x + 1)(x + 2)\)

The expression that best estimates 6 3/4 divided by 1 2/3 is 7/2. 6 3/4 (or 6.75) divided by 1 2/3 (or 1.66...) comes out to 4 1/20 (or 4.05). The closest value to this in the options available is 7/2 (or 3.5). This answer is only .55 away from the correct value, while the rest of the options are far less close.

Answer:

7/2 or

7 dived by 2

Step-by-step explanation:

bruh A

Answer:

A: sin(55.13+22.62) = .969

B: Cos(55.13-22.62) = .861

C: sin(2*55.13) = .96

D: cos(2*55.13) = -.28

E: tan(55.13+22.62) = 3.9375

F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969

Step-by-step explanation:

I would like to preface this by saying that my trig is probably rusty so maybe double check my work. I will try to overexplain it so you can easily spot any errors I may make

To solve for x we know that sin(x)=4/5

we can solve for x by using the arc sin

This means that x=arcsin(4/5) which gives me around x=53.13

We can then use the same process for y but with 5/13

so arcsin(5/13) gives us around y=22.62

Then it's just a matter of plugging everything in

A: sin(55.13+22.62) = .969

B: Cos(55.13-22.62) = .861

C: sin(2*55.13) = .96

D: cos(2*55.13) = -.28

E: tan(55.13+22.62) = 3.9375

F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969

Answer:

b

Step-by-step explanation:

102.4..... you're right

Answer:

the answer is  102.4

Step-by-step explanation:

Answer:

Why do you need a step by step

Step-by-step explanation:

Answer:

Ans.=250 21/50

Step-by-step explanation:

54.2%=542/100

=271/50

=250 21/50

to get any percent value to a decimal or fraction format, we simply divide it by 100, first off let's make 54.2 to a fraction and then divide by 100.

\(54.\underline{2}\implies \cfrac{542}{1\underline{0}}~\hspace{10em}\cfrac{542}{10}\div 100\implies \cfrac{542}{10}\cdot \cfrac{1}{100}\implies \cfrac{271}{500}\)

It is true that the sample mean and the sample standard deviation remain unaffected.

Mean is the average of the given data.

According to the given question when each entry is multiplied by a constant k each term will k times of the previous term.

Suppose we have 3 terms x, y, z.We know that their mean will the middle term as there are odd number of terms which is y.

Now if we multiply each term by a constant k the terms will be kx, ky, kz and the middle term is ky.

As each term is multiplied by k we have divide by k which is

= ky/k

= y.

So from both the results we can observe that the mean and the standard deviation remains same.

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Answer:

with?

Step-by-step explanation:

...............................................

Answer:  See the image below.

Given the function g(x)=x'e^k where k is a constant and we are to find the value of k for which the function g has a critical point at x=2/3.

The derivative of g(x) will be as follows;g'(x)=ke^k x^(e-1)Therefore,g'(2/3)=ke^k (2/3)^(e-1)For the critical point to exist, g'(2/3) should be equal to zero.

Therefore, we have;ke^k (2/3)^(e-1) = 0Or k = 0 (since (2/3)^(e-1) cannot be zero)Therefore, the value of k for which g has a critical point at x=2/3 is k=0.Hopefully, this helps you.

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The standard deviation of the equivalent z-distribution is 0.25.

The standard deviation of the equivalent z-distribution can be calculated by dividing the standard deviation of the original distribution by the square root of the sample size.

In this case, since the strength of the component is normally distributed with a standard deviation of 2.5, we need to determine the standard deviation of the equivalent z-distribution.

To calculate this, we need to know the sample size. The z-distribution is used when we have a large sample size, typically considered to be 30 or greater.

Let's assume we have a sample size of 100.

The formula to calculate the standard deviation of the equivalent z-distribution is:

Standard deviation of the z-distribution = Standard deviation of the original distribution / √(sample size)

Substituting the values into the formula:

Standard deviation of the z-distribution = 2.5 / √(100)

Simplifying the expression:

Standard deviation of the z-distribution = 2.5 / 10

Standard deviation of the z-distribution = 0.25

Therefore, the standard deviation of the equivalent z-distribution is 0.25.

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2+2+2+4+4+2+4 = 20 and It's written in the addition form.

What is addition ?

One of the four fundamental mathematical operations, along with addition, subtraction, multiplication, and division, is addition. This operator is used to combine two or more objects or numbers.

Given,  2+2+2+4+4+2+4

The result can be found by applying addition,

So, 2+2+2+4+4+2+4  = 20

We can also find the sum of the above numbers by applying multiplication,

We've,  2+2+2+4+4+2+4

We will rearrange it in such a way that all the same numbers come together,

So, 2+2+2+2+4+4+4

Now, we can see that the number 2 is occurring 4 times and the number 4 is occurring 3 times,

So, It can be written as,

 (2 × 4) + (4 × 3)

= 8 + 12

= 20.

Hence, We get the same answer in both the cases.

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Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

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Converting the force from newtons to pounds can help us determine the chances of a driver being able to stop a child. The conversion factor is 1 pound (lb) = 4.45 newtons (N).

To convert the force from newtons to pounds, we use the conversion factor of 1 lb = 4.45 N. If we have a force in newtons, we can divide it by 4.45 to obtain the equivalent force in pounds. For example, if the force is 20 N, we divide it by 4.45 to get approximately 4.49 lb.

Now, in order to assess the chances of the driver stopping the child, we need to consider various factors such as the mass and speed of the child, the friction between the driver's shoes and the ground, and the force applied by the driver. If the force applied by the driver, converted to pounds, is greater than or equal to the force exerted by the child, there is a higher chance of stopping the child.

However, it's important to note that other factors, such as the driver's reaction time and the coefficient of friction between the shoes and the ground, also play significant roles in determining the outcome. Thus, the chances of the driver stopping the child depend on a combination of these factors, making it essential to consider them comprehensively when evaluating the situation.

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Jeff's claim that any positive number raised to the -1 power is always less than the number is not true.

We will show that Jeff's claim is incorrect by providing a counterexample.

Let's choose a positive number for Part A and then calculate its value when raised to the -1 power in Part B.
Part A: 1/2 (a positive number)
Part B: (1/2)^(-1) = 2

Summary: We chose 1/2 as our positive number for Part A. When we raised it to the -1 power in Part B, we got 2. In this case, the value raised to the -1 power (2) is greater than the original number (1/2). Therefore, Jeff's claim is incorrect.

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The prime factorization of 72 using exponents is 2² × 3².

In mathematics, prime factorization is a process of breaking down a composite number into its prime factors. Each prime factor can be written as a base raised to a certain exponent. In this context, exponents play an important role in expressing the prime factorization of a number.

To find the prime factorization of 72, we first need to factorize it into its prime factors. We can start by dividing 72 by the smallest prime number, which is 2.

72 ÷ 2 = 36

Now, 36 is also divisible by 2:

36 ÷ 2 = 18

And 18 is also divisible by 2:

18 ÷ 2 = 9

At this point, we cannot divide 9 by 2, so we move to the next smallest prime number, which is 3.

9 ÷ 3 = 3

3 is a prime number, so we have completed the factorization of 72:

72 = 2² × 3²

This means that 72 can be expressed as the product of two prime factors: 2 and 3, each raised to a certain exponent. The exponent of 2 is 2 because we divided 72 by 2 twice, and the exponent of 3 is 2 because we divided 72 by 3 twice.

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The statement that best characterizes the definitions of categorical and quantitative data is: quantitative data consist of numbers representing measurements or counts, whereas categorical data consist of names or labels.

Quantitative data is numerical and can be measured or counted, while categorical data is non-numerical and consists of names or labels that group or categorize data. Examples of quantitative data include weight, height, temperature, and income, while examples of categorical data include gender, race, type of car, and favorite color.

The other statements in the question contain some inaccuracies. For example, not all quantitative data can be arranged in order, and some categorical data can be arranged in order. Additionally, the number of possible values for both types of data can be countable or uncountable, depending on the context.

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Answer:

A) 12 ounces for $0.89

Explanation:

$0.89 ÷ 12 = $0.07

$1.69 ÷ 18 = $0.09

$2.09 ÷ 24 = 0.087

Now we know the different prices for each ounce, as you can see the 12 ounces is definitely the best buy.

I hope this helps!

To convert sin to cos, you can use the identity that relates the two trigonometric functions: cos(x) = sin(x + (π/2)).

So, if you have an expression in terms of sin(x), you can convert it to an expression in terms of cos(x) by replacing sin(x) with sin(x + (π/2)), and then simplifying. Keep in mind that the period of cosine function is 2π, whereas the period of sine function is π. If you want to convert cos(x) to sin(x) you can use the same identity by replacing x with (x + π/2).

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To determine how many compact fluorescent light bulbs and how many square feet of insulation to purchase, we need to make some assumptions about the cost and energy savings of each. Let's assume the following:

Each compact fluorescent light bulb costs $5 and lasts for 5 years. It uses 13 watts of power and provides the same amount of light as a 60 watt incandescent bulb.

Each square foot of insulation costs $0.50 and provides a 10% reduction in heating and cooling costs.

Let $x$ be the number of compact fluorescent light bulbs and $y$ be the number of square feet of insulation to purchase. Then we want to maximize the annual energy cost savings, subject to the constraint that the cost of the purchases is no more than $1,400. Mathematically, we can write:

The optimal solution depends on the specific costs, savings, and preferences for energy efficiency.

To determine the optimal number of compact fluorescent light bulbs and square feet of insulation to purchase, we need additional information such as the cost and energy savings associated with each item.

Without specific data on the costs and savings, it is not possible to provide an exact answer. However, I can give you a general approach to consider:

1. Determine the cost and energy savings for each compact fluorescent light bulb (CFL) and square foot of insulation.

2. Compare the cost savings per year for CFL bulbs and insulation to evaluate which option provides more savings.

3. Start by allocating the budget to the option with the higher cost savings per dollar spent.

4. Calculate the number of CFL bulbs and square feet of insulation that can be purchased within the budget.

5. Consider any practical limitations or minimum requirements for installation (e.g., minimum insulation coverage, minimum number of bulbs needed).

6. Adjust the quantities of CFL bulbs and insulation based on the budget allocation and practical considerations.

Remember that the optimal solution depends on the specific costs, savings, and preferences for energy efficiency.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

(2x+8y)

(2x+2×4y)

2(x+4y)

The problem that can arise from different styles and formats of quotations in terms of measurements or units is inconsistency and confusion.

If different suppliers or vendors quote prices based on different measurement units or quantities, it can make it difficult to compare and evaluate the offers accurately. It may lead to misunderstandings, errors in pricing, and challenges in making informed purchasing decisions. When quotations are based on different measurement units or quantities, it becomes challenging to compare them directly. For example, one supplier may provide a quotation based on cubic measurements, while another supplier may quote based on kilograms or the number of containers. This inconsistency can create confusion and make it difficult to determine which quotation offers the best value or meets the requirements of the buyer.

In such cases, it is essential to establish a common basis for comparison. This may involve converting the quotations to a standardized unit or quantity that is relevant to the buyer's needs. For example, if one supplier quotes based on cubic measurements and another based on the number of containers, the buyer may need to convert both quotations to a common unit, such as the cost per container or per cubic measurement, to make a fair comparison.

Without a standardized basis for comparison, it becomes challenging to assess the true costs and benefits of different quotations. It can lead to misunderstandings, as the buyer may assume a certain quantity or unit of measurement based on their expectations or previous experiences. This can result in errors in pricing, incorrect budgeting, and potentially selecting a supplier that may not be the most cost-effective or suitable option.

To avoid these problems, clear communication and clarification of the quotation requirements are crucial. Buyers should specify the preferred measurement units or quantities and ask suppliers to provide quotations based on those specifications. This helps ensure consistency, accuracy, and enables an informed evaluation of the quotations to make an appropriate purchasing decision.

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Answer: The area is 6.5

The surface area of the regular three-sided prism is 26√3 cm².

Now, For the surface area of the prism, We can find the area of each of its five faces and add them together.

First, let's find the length of the base edge.

Let's take it "s".

We know that the surface area of the base is 4√3 cm²,

Hence, We get;

A = (sqrt(3)/4)s = 4√3

Solving for "s", we get:

s = 2 cm

Next, we need to find the height of the prism.

We know that the height is 3 times greater than the length of the base edge, so:

h = 3s = 6 cm

Now we can find the area of each face of the prism using the formula for the area of an equilateral triangle:

A = (√(3)/4)s

A = (√(3)/4)(2 cm)

A = √3 cm²

Since, The prism has five faces.

Therefore, the total surface area of the prism is:

A = 2(4√3 cm²) + 3(√3 cm²)(6 cm)

A = 8√3 cm² + 18√3 cm²

A = 26√3 cm²

Therefore, The surface area of the regular three-sided prism is ,

= 26√3 cm².

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