Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a

kitchen cabinet set in 1/5 of an hour.

How many kitchen cabinet sets can be installed by her workers in 1 hour?

Express your answer as an improper fraction.

Answer:

300 in.³

Step-by-step explanation:

We find the volume of 1 prism and multiply it by 2.

V = BH

where V = volume of prism, B = area of the base of the prism, H = height of the prism

V = ½bh × H

V = ½(5 in.)(6 in.) × 10 in.

V = 150 in.³

That is the volume of one triangular prism. Now we multiply it by 2.

volume = 2 × 150 in.³ = 300 in.³

\( \frac{50}{x} = 20\)

\(50 = 20x\)

\( \frac{50}{20} = x\)

\( \frac{5}{2} = x\)

\(2.5 = x\)

Answer:

Total Volume = 190 m³

Step-by-step explanation:

Volume of the entire figure = L (Area 1  + Area 2)

where L = 10 m

Area 1 (blue prism) = 4 x 3 = 12 m²

Area 2 (brown prism = 1 x 7 = 7 m²

plugin  values into the formula:

Volume of the entire figure = L (Area 1  + Area 2)

                                            = 10 (12 + 7)

                                            = 120 m³ + 70 m³

                                            = 190 m³

Slope of the line passes through the points (8,79.99) and (16,99.99) will be 2.5,here slope is positive means if the memory size of player will increase then the cost will increase too.

Slope of line:

                      The slope of a straight line is the ratio of the change in y to the change in x, generally denoted by m.

                   so for points (x1 , y1)  and  (x2 , y2)

                        slope(m)= (y2 - y1)/(x2 - x1) = rise/run

    Interpretation:- If slope is positive, the graph of a line rises from left to right. If slope is negative, the graph of the line falls from left to right.

given,

            costs  of 8-gigabyte video MP4 player is $79.99

            costs of 16-gigabyte video MP4 player is  $99.99

                   Points are (8,79.99) and (16,99.99)

slope for the given points will be,

                               m = (99.99 - 79.99)/(16 - 8)

                                   = 20/8

                                   = 5/2

                                   = 2.5

slope of the line will be  = 2.5

    here slope is positive means if the memory size of player will increase then the cost will increase too.

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Answer: 40%

Step-by-step explanation: To find what percentage of members voted for Hans simply multiply 32 by 100.

32 x 100 = 3200.

Then, divide that number, or 3200 by 80.

3200/80 = 40.

So, 40, or 40% of members voted for Hans.:)

Answer:

The probability of number of success = C (n,k)p^kq^(n-k)

Step-by-step explanation:

This is the case of Bernoulli's experiment in which there are n independent trials with X number of success

The probability of number of success = C (n,k)p^kq^(n-k)

Where k = 0,1,2,3...n

Answer: Rs. 69

Step-by-step explanation:

Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.

Step 1:

According to the question, we get

Equation 1:

6x + 4y = 228  

Equation 2:

13x + 7y = 459  

Step 2:

Then, by multiplying equation 1 by 7 & equation 2 by 4, we get

7 * [6x + 4y = 228]

⇒ 42x + 28y = 1596 …. (iii)  

And,

4 * [13x + 7y = 459]

⇒ 52x + 28y = 1836 …. (iv)

Step 3:

Now, Subtracting eq. (iii) from eq. (iv), we get

52x + 28y = 1836

42x + 28y = 1596

(-)    (-)         (-)

---------------------------

10 x = 240

----------------------------

⇒ x = 240/10 = 24

Substituting the value of x in Eq. (1)

(6*24) + 4y = 228  

⇒ y = [228 - 144]/4 = 21

Step 4:

Thus,  

The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,

= 2x + y

= (2*24) + 21 ….. [substituting x= 24 & y = 21]

= Rs. 69

Step-by-step explanation:

Hope this helps

can i get braineist

Answer:

true

Step-by-step explanation:

because there's less humidity

Jim decorates the front of the house with the ribbon.

In the figure, the dimension of the parts are given

The ribbon used to decorate the front of the house will be equal to the perimeter of the given figure.

Calculate the perimeter of the figure

So Jim needs 30.6 in of ribbon to decorate the house.

(a) The probability that both John and Jane watch the show is 0.15 or 15% (rounded to 2 decimal places).
(b)The probability that Jane watches the show, given that John does, is 0.3 or 3.

(c) Since these probabilities are equal, John and Jane watch the show independently of each other.

The answer is Yes.

John and Jane watch the show independently of each other if

(a) To find the probability that both John and Jane watch the show, we can use the conditional probability formula:

P(A and B) = P(A|B) * P(B),

where A represents John watching the show and B represents Jane watching the show.
Given, P(A|B) = 0.5 and P(B) = 0.3.
P(A and B) = 0.5 * 0.3 = 0.15.
Therefore, the probability that both John and Jane watch the show is 0.15 or 15% (rounded to 2 decimal places).
(b) To find the probability that Jane watches the show, given that John does, we can use the conditional probability formula: P(B|A) = P(A and B) / P(A).
Given, P(A and B) = 0.15 and P(A) = 0.5.
P(B|A) = 0.15 / 0.5 = 0.3.
Therefore, the probability that Jane watches the show, given that John does, is 0.3 or 30% (rounded to 3 decimal places).
(c) John and Jane watch the show independently of each other if P(A and B) = P(A) * P(B).

In this case, P(A and B) = 0.15 and P(A) * P(B) = 0.5 * 0.3 = 0.15.

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I will give you some advice. Go to and put your question, and there should be some videos

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

The underlined part of the sentence can best be described as an adjective phrase.

In formation of sentences in English language, the words that are used usually include the following parts of speech:

An Adjective is a word that describes or modifies a noun or a pronoun. While adjective phrase is the phrase that can be used to modify or describe a noun in a sentence.

From the sentence given, extremely excited is adverbial phrase used to modify the noun vacation.

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Answer:

Step-by-step explanation:

Let x be the variable.

One fourth times the difference of ten and x is 2/3

1/4 (10 - x) = 2/3

10 - x = 3/2

-x = 3/2 - 10

x = -3/2 + 10

x = 13/2

The answer is:

\(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\)

Work/explanation:

First, the variable is d

Then, the difference of 10 and d is 10 - d.

One-fourth is 1/4.

The equation is : \(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\).

The phrase "a leopard can't change its spots" is a saying that means that a person cannot change their character, especially if they have a negative one. However, this statement is not accurate to the actual behavior of leopards.

A leopard's fur is adorned with distinctive, black spots, which provide the cat with camouflage in the wild, allowing it to blend in with its surroundings and stalk prey. Leopards' spots, unlike human personalities, can change with time. When leopards mature, their spots become larger and more complex, making them distinct from the spots they had as cubs.

However, their fur does not entirely change its color, as leopards always have a base coat that can range from golden-yellow to a tawny, orange-brown color. Therefore, a leopard can change its spots as it matures, but the idiom "a leopard can't change its spots" refers to a person's personality or character traits, which are believed to be permanent.

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Answer:

5

Step-by-step explanation:

we can make that blank x

3/x=21/35

Now cross multiply

3(35)=x(21)

105=21x

/21.  /21

5=x

Or

Divide be numerators to see how much of a difference it is

21/3=7

So we divide the denominator by 7

35/7=5

So the denominator is 5

Hopes this helps please mark brainliest

Answer:  =−20

y=2

​

Step-by-step explanation:

Solve for xx in -5y-10=x−5y−10=x.

x=-5y-10

x=−5y−10

2 Substitute x=-5y-10x=−5y−10 into x+9y=-2x+9y=−2.

4y-10=-2

4y−10=−2

3 Solve for yy in 4y-10=-24y−10=−2.

y=2

y=2

4 Substitute y=2y=2 into x=-5y-10x=−5y−10.

x=-20

x=−20

5 Therefore,

\begin{aligned}&x=-20\\&y=2\end{aligned}

​

x=−20

y=2

​

Step-by-step explanation:

35/7   is an IMPROPER FRACTION ....  it REDUCES to an INTEGER = 5

The fraction 35/7 equals to 5, which is an integer because it is a whole number without a fractional or decimal component.

The fraction 35/7 equals to 5. The number 5 is a whole number that can be written without a fractional or decimal component, hence it is classified as an integer.

In general, an integer includes all whole numbers and their negative counterpart excluding fractions or decimals. Examples of integers are ...-3, -2, -1, 0, 1, 2, 3... and so on.

So the answer to your question is, 35/7 is an integer.

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Answer:

  4/9

Step-by-step explanation:

If Maggie reads 1/3 of a book in 3/4 weeks, you want to know how many books per week Maggie reads.

To find Maggie's reading rate in books per week, divide books by weeks:

  (1/3 book)/(3/4 week) = (1/3)/(3/4) book/week

  = (1/3) · (4/3) book/week = 4/9 book per week

Maggie reads 4/9 books per week.

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Step-by-step explanation:

find the area of each square or rectangle

l*w

4 rectangles=4×(3×6)=72

2 squares=2×(3×3)=18

72+18=90cm^2

Answer:

si como estas chico

Step-by-step explanation:

Answer:

the answer is 4.25 or 4 1/4

Step-by-step explanation:

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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The correct answer is C. The dependent variable is not typically the explanatory variable in a regression model.

In regression analysis, we aim to understand the relationship between a dependent variable and one or more independent variables. The dependent variable is the variable we are trying to explain or predict, while the independent variables are the ones we use to explain or predict the dependent variable.

In a regression model, the intercept coefficient is typically interpreted. It represents the predicted value of the dependent variable when all the independent variables are equal to zero. So, statement A is not true.

The estimates of the slope coefficients are indeed found from sample data. These coefficients represent the change in the dependent variable associated with a one-unit change in the corresponding independent variable. Therefore, statement B is true.

Finally, the regression line is constructed in a way that it minimizes the sum of squared errors, also known as the residuals. The residuals are the differences between the actual values of the dependent variable and the predicted values from the regression model. So, statement D is true.

In summary, statement C is the only statement that is not true about a regression model. The dependent variable is not typically the explanatory variable in regression analysis.

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The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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Answer:

the answer is HL

Step-by-step explanation:

The company currently has 4,400 customers paying $90 each month, and a reduction of $1 in price attracts 50 new customers. We need to determine the price that maximizes the company's revenue.

To find the price that maximizes revenue, we need to consider the relationship between price, number of customers, and revenue.Let's denote the price as "p" (in dollars) and the number of customers as "n." The revenue "R" can be calculated as the product of price and the number of customers:

R = p * n

Given that each $1 reduction in price attracts 50 new customers, we can express the relationship between price and number of customers as:

n = 4,400 + 50 * (90 - p)

Substituting this expression for "n" into the revenue equation, we get:

R = p * (4,400 + 50 * (90 - p))

To find the price that yields maximum revenue, we need to find the value of "p" that maximizes the revenue function. This can be done by finding the derivative of the revenue function with respect to "p" and setting it equal to zero. Solving this equation will give us the price that maximizes revenue.

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Solution:

Given;

From law of logarithm;

Thus;

Another law of logarithm;

Thus;

FINAL ANSWER