What decimal is equivalent to 27/32

Nadia brought five tickets to attend a spaghetti supper fund rasier at her school. The equation 5x = 32.50 can be used to find x, the cost of each ticket in dollars. The equation x = 32.50/5 will represent the cost of each ticket.

This is because the equation 5x = 32.50 is asking us to find the cost of each ticket (represented by x) when there are five tickets in total and the total cost is $32.50.

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 5, which gives us:

X=32.50/5.

So, each ticket costs $6.50.

Therfore, the correct equation that represents the cost of each ticket is X=32.50/5, option A.

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Answer:

D. Reflection across the y-axis

Step-by-step explanation:

In the points (-5, -3) and (5, -3), first, notice that the y-coordinates are the same. However, the x-coordinates are positive and negative, meaning one will be on the left side of the y-axis and one will be on the right side of the y-axis, bringing us to answer D. Graph proof is also attached.

April surveys a sample of college freshmen, and finds that people who read more have higher IQ's. She wonders whether reading leads to higher IQ, or whether people with higher IQ's have a greater desire to read. In order to determine which hypothesis is correct, April needs to conduct an experiment that follows the scientific method.

The scientific method involves the following steps:

Make an observation or ask a question: April observes that people who read more have higher IQs. She wonders whether reading leads to higher IQs or whether people with higher IQs have a greater desire to read. Formulate a hypothesis: April generates two hypotheses: reading leads to higher IQ or people with higher IQs have a greater desire to read.

Test the hypothesis: April needs to conduct an experiment to test her hypotheses.

She can randomly assign a group of college freshmen to two groups. One group will be given a reading assignment, and the other will not. After a set period of time, she can administer an IQ test to both groups and compare the results.

Analyze the results: April should analyze the results of the experiment to see if there is a significant difference in the IQ scores of the two groups. If the group that read had significantly higher IQ scores than the group that did not read, she can conclude that reading leads to higher IQs.

If there is no significant difference, she can conclude that people with higher IQs have a greater desire to read.

Conclusion: Based on the results of the experiment, April can draw a conclusion and report her findings.

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Answer:

(-5, 7)

Step-by-step explanation:

(x,y) over y= -x = (-y, -x)

(-7, 5) is turned to (-5, 7)

Answer:

3 gallons I am in math club believe it or not

Answer:

I'm going for A

Step-by-step explanation:

Answer:

Answer is gonna be c

Step-by-step explanation:

Answer:

\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)

Answer:

48 × 3 units³.

Step-by-step explanation:

V = l · w · h

8 · 3 · 6 = 144.

Answer is 144³.

Answer:

I got 6 mi

hope I helped

(i) 2.2% is the periodic interest rate offered by Becky's savings account

(ii) Becky earn $27,000  in interest on her first payment during this time

(iii) Becky earn $1,782 in interest on her second payment during this time

Part I:

Given that the savings account is paying simple interest at an annual interest rate of 8.8% calculated quarterly.

Then the periodic interest rate offered by Becky's savings account is given by  8.8% / 4 = 2.2%

Part II:

Given that the first payment of $27,000 is occurring in 3 months, then Becky  will be able to have the money in the bank for 3 quarters before the lump-sum payment would occur

Part III:

Given that Becky's first payment of $27,000 will be in her account for 3 periods at a simple interest of 2.2% per quarter.

The amount Becky will earn in interest on her first payment during this period is given by:

I = (P*R*T) / 100

I = (27,000 * 2.2 * 3) / 100

I = $1,782

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Answer:

1/2

Step-by-step explanation:

\(y = \sqrt[3]{\frac{1}{8x}}\\\\=\sqrt[3]{\frac{1}{2*2*2*x}}\\\\=\frac{1}{2}\sqrt[3]{\frac{1}{x}}\)

Constant of proportional= 1/2

The figure W has one Rotational symmetries. This can be observed by rotating the figure by 0 or 180 degrees and noting that the shape remains unchanged. so the correct option is (b).

The letter W has one vertical line of symmetry that divides it into two identical halves. However, it does not have any rotational symmetry of order 2 or higher because there is no way to rotate the letter by a certain angle and have it look the same as before the rotation. Therefore, the answer is (b) 1, as W has only one line of symmetry and no rotational symmetry of order 2 or higher. In other words, if you rotate the letter by any angle other than 0 or 180 degrees, it will look different than before the rotation.

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______The given question is incomplete, the complete question is given below:

How many rotational symmetries does W alphabet have?

a. 0

b. 1

c. 2

d. 3

Answer:

Line A = 3

Line B = - 1

Step-by-step explanation:

To find the gradient, you need two points on a line right. The formula for gradient is

\( \frac{y2 - y1}{x2 - x1} \)

So on line A, try to find 2 points (coordinates)

You have (-2,1) , (-1,4) , (0,7)

Choose any two

Let's say (-1,4) and (0,7)

Gradient =

\( \frac{7 - 4}{0 - - 1} = \frac{3}{1} = 3\)

Gradient of line A is 3

For line B, let's take (1,7) and (2,6)

Gradient =

\( \frac{7 - 6 }{1 - 2} = \frac{1}{ - 1} = - 1\)

Gradient of line B = - 1

Based on the fact that Tim forgot to refuel the vehicle and the amount per gallon at the rental place, Tim will have to pay an extra amount of d. $57.88.

According to the conditions, Tim will have to pay for the complete refueling of the car should he forget to refuel. He will also have to pay a $5.00 refueling fee.

The car is almost empty which means he will also pay for the entire capacity of the car.

The amount Tim will pay is:

= (Cost per gallon x Total fuel capacity) + Refueling fee

= (4.50 x 11.75) + 5

= $57.88

In conclusion, option D is correct.

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We can say that the probability which is more than 192 of the confidence intervals cover the true proportions i.e, P(X > 192) is 0.9452.

Given: Confidence interval = 95%

We need to find the probability that more than 192 of the confidence intervals cover the true proportions.

P(X > 192) = ?

We know that the sample proportion follows the Normal distribution as n is large.

According to the Central Limit Theorem, the sample proportion follows the Normal distribution with mean and standard deviation as shown below:

μp = pσp = √((pq/n))

Here, p and q are population proportions and p + q = 1.

We do not know the population proportion, p or q, but we can assume that p = q = 0.5 in case we do not have any prior knowledge of p and q.

Now, we standardize the Normal distribution using z-score:

Z = (X - μp) / σp

Z = (X - np) / √((npq/n))

Here, X is the number of confidence intervals that cover the true proportions.

The sample proportion is computed as:

p = X / n

Here, n is the number of samples (towns).

Now, the z-score can be written as:

Z = (X - np) / √((npq/n)) > Z

= (192 - 200 × 0.5) / √((200 × 0.5 × 0.5/200))

= -1.6

P(Z > -1.6) = 0.9452 [from z-table]

Therefore, the probability that more than 192 of the confidence intervals cover the true proportions is P(X > 192)

= 1 - P(X ≤ 192) > 1 - P(Z ≤ -1.6) > 1 - 0.0548

= 0.9452

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A nurse should empty a Hemovac wound suction device when it is half full to ensure proper functioning and prevent discomfort or injury to the patient due to the device becoming too heavy.

The rationale for a nurse to empty a Hemovac wound suction device when it is half full is to ensure the device is functioning correctly and to prevent it from becoming too heavy and potentially causing discomfort or injury to the patient.

When a Hemovac wound suction device is half full, it may start to lose suction, which can result in less efficient drainage of fluid from the wound site. By emptying the device, the nurse can ensure that the device is functioning correctly and that the suction pressure is maintained.

Additionally, allowing the device to become too full can make it heavy and uncomfortable for the patient, potentially causing discomfort or injury to the wound site. Therefore, emptying the device when it is half full can help prevent these complications and ensure that the patient remains comfortable throughout the healing process.

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Answer:

5(9y + 4).

Step-by-step explanation:

GCF of 45y and 20 is 5

Answer is 5(9y + 4).

Answer:

$13.41

Step-by-step explanation:

Multiply the number of drinks (3) by the cost of one drink ($4.47).

4.47 times 3 (if you do the math) is equal to 13.41

have a good day :)

Answer:

$13.41

Step-by-step explanation:

just add it all up $4.47 + $4.47 + $4.47=$13.41

Answer:

hi I don't know the answer of this question but I hope anyone will answer your this question as fast as possible and iam taking free points because I needed to ask one question from someone that's why I really sorry and thank you so much for free points

Rounded to the nearest cent, the total job cost for Randi is $6,138.99.

To calculate the total cost for Randi's carpeting job, we need to consider the cost of the carpet, foam padding, and labor.

1. Carpet cost:

The total square yards of carpet needed is:

Downstairs: 109.41 square yards

Halls: 30.41 square yards

Upstairs bedrooms: 160.51 square yards

The total square yards of carpet required is the sum of these areas:

109.41 + 30.41 + 160.51 = 300.33 square yards

The cost of the carpet per square yard is $13.60.

Therefore, the cost of the carpet is:

300.33 * $13.60 = $4,080.19

2. Foam padding cost:

The total square yards of foam padding needed is the same as the carpet area: 300.33 square yards.

The cost of the foam padding per square yard is $3.10.

Therefore, the cost of the foam padding is:

300.33 * $3.10 = $930.81

3. Labor cost:

The labor cost is quoted at $3.75 per square yard.

Therefore, the labor cost is:

300.33 * $3.75 = $1,126.99

4. Total job cost:

The total cost is the sum of the carpet cost, foam padding cost, and labor cost:

$4,080.19 + $930.81 + $1,126.99 = $6,138.99

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Veremos que el area del banderín es 930cm^2, entonces la opción correcta es A.

Luego de una pequeña busqueda online, pude ver que el banderin es un triangulo isósceles con base de 31cm y altura de 60 cm.

Recordar que para un triangulo de base b y altura h, el area es:

A = b*h/2

Entonces el area del banderín va a ser:

A = (31cm)*(60cm)/2 = 930cm^2

Entonces la opción correcta es A.

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D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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Answer:

1.)

y= (15 x 3) - 40

y= 45-40

y= 41

2.)

y= (2/3 x 21) +20

y= 14+20

y= 34

3.)

y= (3* -2)² +17

y= -6² +17

y= -36 +17

y= -19

SRY I DID NOT ANSWER BEFORE

Answer:

1.) y= 41

2.) y=34

3.) y= -19

Step-by-step explanation:

1.) y= (15 x 3) - 40

   y= 45-40

   y= 41

2.) y= (2/3 x 21) +20

    y= 14+20

    y= 34

3.) y= (3* -2)² +17

    y= -6² +17

    y= -36 +17

    y= -19

The tilde approximation of the growth function f(n) = n + 5n^4 + nlg(n) is ~5n^4.

The tilde notation is used to describe the asymptotic behavior of a function, which means how the function grows relative to other functions as the input gets very large.

To determine the tilde approximation of the function f(n) = n + 5n^4 + nlg(n), we need to identify the term that grows the fastest as n becomes very large.

Analyze the first term: n. As n gets larger, the term n becomes relatively smaller compared to the other terms in the function.

Analyze the second term: 5n^4. This term grows much faster than the first term as n becomes larger.

Analyze the third term: nlg(n). The logarithmic term grows slower than the polynomial term, meaning that it becomes relatively smaller as n becomes larger.

Based on the analysis above, we can conclude that the dominant term in the function is 5n^4.

Therefore, the tilde approximation of the function f(n) = n + 5n^4 + nlg(n) is ~5n^4, meaning that the function grows approximately as n^4 when n becomes very large.

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Answer:

x = - 1 , x = \(\frac{1}{3}\)

Step-by-step explanation:

assuming you require the solution to the equation

x(3x - 1) + (3x - 1) = 0 ← factor out (3x - 1) from each term

(3x - 1)(x + 1) = 0

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

3x - 1 = 0 ( add 1 to both sides )

3x = 1 ( divide both sides by 3 )

x = \(\frac{1}{3}\)

Answer:

-1 11/12

Step-by-step explanation:

1/3=4/12 -2 1/4= -9/4 = -27/12

4/12 + -27/12 = -23/12

-23/12 = -1 11/12

The choice of method to the solution of the \pair of equations is substitution method.

In a pair of equations, we can use substitution method or any other method to solve the equations.

The given pair of equations is

y=-x+5 and

y=-x+3

The first thing is to write the two equations where the constant stays at the right hand side and the two variables stay at the left hand side tyo give

y+x = 5 and

y+x=3

Then we use substitution method to solve for x and y

In this case, make x the subject of the relation in equation 1

x=5-y

Then substitute x=5-y in equation 2

That is 2y = 5

then y = 2.2

Sibstitute y=2.2 in equation  to get x=5-2.2

Therefore the value of x=2.8

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This an be prove by SSS Congruence theorem.

Two triangles are congruent if the three sides of one triangle are equal to the corresponding three sides of the other triangle.

it is given that ,MQ = NQ; Q is the midpoint of LP; LM ≅ PN Triangles M L Q and N P Q are connected at point Q.

so ,

Comparing △MLQ and  △NPQ

ML = NP   ( as given LM ≅ PN )

LQ = PQ   (∵ Q is the midpoint of LP)

MQ = NQ  Given

=> △MLQ   ≅   △NPQ  using SSS criteria

SSS - Side Side Side

Corresponding sides of triangles are equal

SSS Congruence theorem can be used to prove △MLQ ≅ △NPQ.

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Answer:

x = 4, y = 9.

Step-by-step explanation:

3x -2y = -6 and y = x+5

Substitute y = x + 5 in the first equation:

3x - 2(x + 5) = -6

3x - 2x - 10 = -6

x = -6 + 10

x = 4

So y = 4 + 5 = 9.