solve for x:4 1/2 is to 4 as x is to 12

Answers

Answer 1
\(4\frac{1}{2}\text{ is to 4 as x is to 12}\)\(\begin{gathered} 4\frac{1}{2}=4 \\ x=12 \end{gathered}\)

the next thing is to cross multiply

\(\begin{gathered} \frac{9}{2}=4 \\ x=12 \\ \frac{9}{2}\times12=4\times x \\ 54=4x \\ \text{Dividing both sides by 4} \\ x=\frac{54}{4} \end{gathered}\)\(x=13\frac{1}{2}\)

Hence the value of x is 13 1/2


Related Questions

There are 12 red gummy bears in a jar of 60 gummy bears what is the percentage of the gummy bears in the jar that are red

Answers

20% is the answer to this

question 10 a data analyst wants to find out how much the predicted outcome and the actual outcome of their data model differ. what function can they use to quickly measure this?

Answers

To test whether a data model is biased, one can compute the average difference between a predicted result and an actual result using the bias() function.

Unreasonably supporting or opposing someone or something because you allowed your opinions to cloud your judgement: The senator accused the media of being biased. Journalists need to be objective and free of political prejudice. Cognitive biases are systematic thinking errors that are often learned from cultural and personal experiences.

They lead to perceptional distortions when people make decisions. Even though data may appear to be objective, it can still be biased because it is gathered and handled by humans. We are not objective in the way we perceive things. Biases can be deliberate or unintentional. If given the choice between three shirts, a person might choose the one in their preferred hue above the other two.

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Correct Question:

A data analyst wants to find out how much the predicted outcome and the actual outcome of their data model differ. what function can they use to quickly measure this?

Paul takes a random sample of 50 students in his seventh-grade class and finds that 20 of the students in the sample prefer chocolate ice cream over vanilla ice cream. There are 200 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer chocolate ice cream over vanilla ice cream? 40 80 50 200 I am confused. Please explain a step by step explanation

Answers

Answer:

80 students.

Step-by-step explanation:

Since there were 50 students, and 20 students wanted the chocolate icecream, that makes a proportion of 2/5. Then, there are 200 students in this whole seventh grade, and imagine that they have the same proportion of the 50 students. So, you should do 2/5 × 200, and the answer is 80.

I hope this helps you! ;)

is the inequality always, sometimes, or never true?
2(x + 6) < 30​

Answers

Answer:

x< 9

Step-by-step explanation:

I'm not sure if it's right but I think it is .

A box of cereal states that there are 87 calories in a 3/4 cup serving. What is the unit rate for calories per​ cup? How many calories are there in 4 cups of cereal?

Answers

unit rate is 116 calories per cup

If BC = 61 and AB = 82, what is the length of AC?

Answers

Answer:

54.8

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2.

Plug the given values in to get 61^2+b^2=82^2

61^2 is 3,721 and 82^2 is 6,724.

6,724-3,721 is 3,003.

The square root of 3,003, rounded to a reasonable value, is 54.8.

The length of AC is 54.8.

Please help me ASAP :)

Please help me ASAP :)

Answers

Answer:

4.9

Step-by-step explanation:

What is the value of the expression. (-8+4)- (3-9)

Answers

Answer:

2

PLZ MARK BRAINLIEST

Step-by-step explanation:

(-8+4) - (3-9) = (-4) - (-6) = -4 + 6 = 2

7/10=r-(-8/9) please help

Answers

Answer:  -(3/10)

Step-by-step explanation:

7/10=r-(-8/9)

(7/10)=r+(8/9)

(7/10)-(8/9)=r

  r =(7/10)-(8/9)

  r =(7/10)*(9/9)-(8/9)*(10/10)    [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]

  r =(63/90)-(80/90)

 r = -(27/90)  or -(3/10)

Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to use on his farm for $4,000. He plans to pay off the total price of the tractor over time by paying $200 a month from a separate account. How much will Bo have in his savings at the time he pays off the tractor in full? A. $3,500 B. $3,000 C. $2,150 D. $2,000.

Answers

Answer:

D. $2,000

Step-by-step explanation:

Found this answer somewhere and it made sense so I hope its correct :D

Answer:

it is 3500 You take 4000 divide by 200 which is 20 months then take 150 times 20 equals 3000 then add 500

Step-by-step explanation:

Solve for c.
c= -9 - 8c

Answers

c=-9-8c

+8c

9c=-9

c=-1

Hope this helps:D!!

The letter C is equal to negative one.

c = -1

Hope this helps!

on june 28, 2012 the u.s. supreme court upheld the much debated 2010 healthcare law, declaring it constitutional. a gallup poll released the day after this decision indicates that 46% of 1,012 americans agree with this decision. at a 95% confidence level, this sample has a 3% margin of error. based on this information, determine if the following statements are true or false, and explain your reasoning.

Answers

a. False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. True, this is the correct interpretation of a confidence interval of proportions.

c. False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. False. As the confidence level decreases, so does z, which means that the margin of error decreases.

In a sample with a number n of people surveyed with a probability of success of, and a confidence level of, we have the following confidence interval of proportions.

In which

z is the score that has a p-value of.

The margin of error is:

So the confidence interval can be written as:

Interpreting a confidence interval:

x% confidence interval between (a,b) means that we are 95% sure that the true proportion of the population is between a and b.

In this problem, we have that:

95% confidence interval between (43%, 49%).

a. We are 95% confident that between 43% and 49% of Americans in this sample support the decision of the U.S. Supreme Court on the 2010 healthcare law.

False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. We are 95% confident that between 43% and 49% of Americans support the decision of the U.S. Supreme Court on the 2010 healthcare law.

True, this is the correct interpretation of a confidence interval of proportions.

c. If we considered many random samples of 1,012 Americans, and we calculated the sample proportions of those who support the decision of the U.S. Supreme Court, 95% of those sample proportions will be between 43% and 49%.

False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. The margin of error at a 90% confidence level would be higher than 3%.

False

As the confidence level decreases, so does z, which means that the margin of error decreases.

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A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.



Determine if each value, in centimeters, is a possible input of the function.



3

Answers

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

Please help ASAP this is due very soon and I need help.

Please help ASAP this is due very soon and I need help.

Answers

Answer:

14

Step-by-step explanation:

just add all the sides

5+5+2+2= 14

Triangle ABC with vertices A(-3, 4), B(0, 2),
and C(-2, 1) is translated 4 units right and 5
units down. Which quadrant is the image?

Answers

A(-3, -1)

B(0, -7)

C(-2, -4)

Therefore, the image is in the III quadrant (bottom left).

Doug entered a canoe race. He rowed 3 ½ miles in ½ hour. What is his average speed in miles per hour

Answers

Answer:

7 miles per hour

Step-by-step explanation:

3.5 times 2.

Which is the biggest fraction 1/5 or 1/10

Answers

Answer:

1/5 is biggest fraction

Step-by-step explanation:

1/5 = 0.2

1/10 =0.1

⅕ > ⅒

The biggest fraction in between 1/5 and 1/10 is 1/5.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

We have the fractions:

1/5 and 1/10.

To find the biggest fraction:

Here, 1 is the numerator in both of the fractions.

So, 10 and 5 are the denominators.

And 5 < 10

That means, 1 is separated in 5 parts and 10 parts.

1/5 = 0.2

And 1/10 = 0.1

0.2 > 0.1

Therefore, the fraction 1/5 is bigger than 1/10.

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there are 12 socks in flora drawer 9 are red and 2 are blue and 1 is green she take out one sock without looking at the color. What is the numerical probability of flora picking out a blue sock?

Answers

The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.

To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.

Given:

Total number of socks = 12

Number of red socks = 9

Number of blue socks = 2

Number of green socks = 1

The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:

Probability of picking a blue sock = Number of blue socks / Total number of socks

Probability of picking a blue sock = 2 / 12

Simplifying the fraction, we get:

Probability of picking a blue sock = 1 / 6

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2. Simplify the expression: 4(8) + 3(x - 6)

Answers

3x + 14 there you go

Answer:

3x+14

Step-by-step explanation:

4(8)+3(x-6)

=32+3x-18

=3x+14

The population of a coty is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x years

Answers

Answer: \(1,00,000(1+0.042)^x\)

Step-by-step explanation:

Given

The initial population of a city is \(P_o=1,00,000\)

The annual growth rate is \(4.2\%\)

after 1 year it is

\(\Rightarrow P_1=1,00,000+4.2\%\times 1,00,000\\\Rightarrow P_1=1,00,000(1+0.042)\)

after 2 years, it is

\(\Rightarrow 1,00,000(1+0.042)+4.2\%\times 1,00,000(1+0.042)\\\Rightarrow 1,00,000(1+0.042)^2\)

after x years it is

\(\Rightarrow P_x=1,00,000(1+0.042)^x\)

Please help!!
Which number is NOT in the solution set of x + 8 > 15?
A)6
B)8
C)10
D)12

Answers

Answer:

A

Step-by-step explanation:

14 is not greater than 15

A
Step by step explanation

(Q2) The set of line segments _____ meet the requirements to form a triangle.8 cm4 cm3 cm

Answers

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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newton's root finding method always converge to the root at a quadratic convergence rate. group of answer choices true false

Answers

The given statement newton's root finding method always converge to the root at a quadratic convergence rate is False.

Newton's root finding method does not always converge to the root at a quadratic convergence rate. While the method can exhibit quadratic convergence under certain conditions, such as when the initial guess is close to the root and the function satisfies certain smoothness properties, it is not guaranteed in all cases.

The convergence rate of Newton's method depends on the behavior of the function and the initial guess. It can vary from quadratic convergence (the fastest rate) to linear convergence or even slower convergence in some cases. Factors such as multiple roots, singularities, or oscillatory behavior of the function can affect the convergence rate and stability of Newton's method.

Therefore, it is not accurate to claim that Newton's root finding method always converges to the root at a quadratic convergence rate.

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Ahmed must pay off his car by paying BD 5700 at the beginning of each year for 12 years and is charged an interest of 8%. What is the present value of Ahmed's payments? OBD 46392.10 OBD 42955,64 OBD 116823,19 BD 108169.62

Answers

To calculate the present value of Ahmed's payments, we can use the formula for the present value of an annuity:

PV = PMT  [(1 - \((1 + r)^{(-n)\)) / r]

Where:

PV = Present Value

PMT = Payment amount per period (BD 5700)

r = Interest rate per period (8% or 0.08)

n = Number of periods (12 years)

Substituting the values into the formula, we get:

PV = 5700 * [(1 - \((1 + 0.08)^{(-12)}\))) / 0.08]

Calculating the expression within the brackets first:

(1 - \((1 + 0.08)^{(-12)\)) / 0.08 = 0.652592574

Now, multiply this value by the payment amount:

PV = 5700 * 0.652592574

PV ≈ BD 3708.349811

Rounding to two decimal places, the present value of Ahmed's payments is approximately BD 3708.35. Therefore, none of the given options (OBD 46392.10, OBD 42955.64, OBD 116823.19, BD 108169.62) are correct.

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1. If the required reserve ratio is 10% and the Fed conducts an open market purchase of $100, what is the maximum possible change in the money supply?

100, 1,000, 10,000 or 10

Answers

The maximum possible change in the money supply is $1000.

In the given question, if the required reserve ratio is 10% and the Fed conducts an open market purchase of $100, we have to find the maximum possible change in the money supply.

The required reserve ratio is 10%.

The Fed conducts an open market purchase of $100.

So the maximum possible change in the money supply is

money multiplier=1/RRR

money multiplier=100/10

money multiplier=10

Open market purchase of $100

Change in money supply is 10*100=$1000

So, the maximum possible change in the money supply is $1000.

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Question
While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?

Answers

Answer:

63

Step-by-step explanation:

60% of $100 is just %60 and 5% of 60 is 3 so, 60 + 3 = $63

Answer:

$45

Step-by-step explanation:

So, first we would find 60% of the $100

100 x .60 = 60

(When finding the amount of a percentage we move the decimal over twice)

then subtract what we got from the original price to find what he paid before tax:

100 - 60 = 40

Now we find 5% of $100:

100 x .05 = 5

Finally, we add this to what he was paying before taxes:

40 + 5 = 45, so $45

Hope this helps!! :)

Find the volume of the rectangular pyramid below.

Find the volume of the rectangular pyramid below.

Answers

Answer:

4800m³

Step-by-step explanation:

V=\(\frac{lwh}{3}\)=\(\frac{(30)(24)(20)}{3}\) =4800

please hurry i’m super stressed

please hurry im super stressed

Answers

The answer is B or option 2.

W=8
X=32/3
Y=40/3
Z=50/3 :)

which of these statements are true ?

which of these statements are true ?

Answers

Answer: ?

Step-by-step explanation:

(1 point) A phone-in poll conducted by a newspaper reported that 72% of those who called in liked ''real TV''. (a) The number 72% is a A. population. B. sample. C. parameter. D. statistic. (b) The unknown true percentage of American citizens who like ''real TV'' is a A. sample. B. statistic. C. parameter. D. population.\

Answers

(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

How to know about the state of the number 72%?

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

How to know about the unknown true percentage of American citizens who like ''real TV''?

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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