Mathematics College

(100 POINTS!)
Create a proportion using the form %/100= is/of to represent the following word problem:

15 is 1 1/2 % of what number?

(100 POINTS!)Create A Proportion Using The Form %/100= Is/of To Represent The Following Word Problem:

Answers

Answer 1

Answer:

To create a proportion using the form %/100 = is/of, we can first write the given information in the form %/100 = is/of. In this case, we know that 1 1/2% represents 15, so we can write:

1 1/2%/100 = 15/of

Next, we need to solve for the "of" value, which is the number we are trying to find. To do this, we can multiply both sides of the equation by 100 and then divide both sides by 1 1/2% to get:

(1 1/2%/100) * 100 = (15/of) * 100

of = (15/1 1/2%) * 100

Finally, we can evaluate the right-hand side of the equation to find the value of "of". Since 1 1/2% is the same as 1.5%, we can substitute 1.5 for 1 1/2% in the equation to get:

of = (15/1.5%) * 100

of = (15/0.015) * 100

of = 1000

Therefore, the number we are trying to find is 1000.

In summary, the proportion that represents the given word problem is:

1 1/2%/100 = 15/1000

Answer 2

Answer:

[tex]\textsf{Proportion}: \quad \sf \dfrac{1.5}{100}=\dfrac{15}{x}[/tex]

[tex]\textsf{Solution}: \quad \sf x=1000[/tex]

Step-by-step explanation:

Given proportion formula:

[tex]\sf \dfrac{\%}{100}=\dfrac{is}{of}[/tex]

Given word problem:

15 is 1¹/₂% of what number.

Let the unknown number be x.

Therefore:

% = 1.5is = 15of = x

Substitute these into the proportion formula to create a proportion to represent the given word problem:

[tex]\sf \dfrac{1.5}{100}=\dfrac{15}{x}[/tex]

To solve the proportion, cross multiply:

[tex]\implies \sf 1.5x=15 \cdot 100[/tex]

[tex]\implies \sf 1.5x=1500[/tex]

Divide both sides by 1.5:

[tex]\implies \sf \dfrac{1.5x}{1.5}=\dfrac{1500}{1.5}[/tex]

[tex]\implies \sf x=1000[/tex]

Related Questions

Determine if the triangle is a right triangle.

Answers

Answer:

Yes, this is a right triangle

Step-by-step explanation:

a² + b² = c²

65² + 72² = 97²

4225 + 5184 = 9409

9409 = 9409

Since the hypotenuse equals the 2 legs, it's a right triangle

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Answers

The answer of the First one is 76

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are rational?
Select all that apply:

8.634092...

6.28232

7144

1.465359...

32.71481

Answers

Answer:

7144

Step-by-step explanation:

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP - A triangle has side lengths of 7, 23, and 25. Is the triangle a right triangle? *
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No, the triangle is not a right triangle.
There is not enough information to tell if the triangle is a right triangle.

Answers

Answer:

No, the triangle is not a right triangle

Step-by-step explanation:

Answer:

To determine if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's check if the given triangle satisfies the Pythagorean theorem:

7^2 + 23^2 = 49 + 529 = 578

25^2 = 625

Since 578 is not equal to 625, the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.

PLEASE MARK AS BRAINLIEST

Write 2.83 as a mixed number and as an improper fraction.
Do not try to simplify your answers.


Answers

Answer:

Mixed number: [tex]2\frac{83}{100}[/tex]

Improper Fraction: [tex]\frac{283}{100}[/tex]

Answer:

[tex]\frac{238}{100}\\\\2\frac{38}{100}[/tex]

Step-by-step explanation:

2.83/1

To make this a normal fraction, the top has to be a whole number, so we can multiply the top and bottom by 100 to slide the decimal point twice.

238/100

This can be shown as a mixed number by removing the 200 which is divisible by 100

[tex]2 \frac{38}{100}[/tex]

Note: The reason the question says not to simplify is because 283 is a prime and cannot be simplified

What is the correct equation for this phrase?
Nine less than twice a number.

Answers

Answer:

[tex]2k - 9[/tex]

Step-by-step explanation:

jsjsjsjsjjsjsksksksksksksksksksjskkwjwjwjwkw

I will give Brainliest answer!

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Answers

Answer:

414π

Step-by-step explanation:

Volume of a cylinder = area of circle/ cross-section x height

Area of cross-section = πr² = 6²π = 36π

36π x 11.5 = 414π

Answer:

1300.61936 cm

Step-by-step explanation:

:))

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Answers

Answer:

Your answer is A <3

Step-by-step explanation:

Answer:

400 thousand people > 300 thousand people, so there are more people living in Miami.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

6(4X-1) = 24X -6 , (2 . 12X ) - (2 . 3) .

24X+6 = (6 . 4X) + (6 . 1) , 6( 4X + 1 ) .

(4 . 6X) - (4 . 2) = 24X + 8 , 4(6X + 2) .

Step-by-step explanation:

Hope it was helpful dear , good luck ^^

guys someon about to comit u know what so go to this link and help out
https://brainly.com/question/22760250

Answers

Answer:

Is this called

BRAINLIEST WHO EVER ANSWERS FIRST !!!!!!I need someone to talk too! Please if anyone is willing to talk to me, I will give brainiest!

Answer:

A tropism (from Greek τρόπος, tropos, "a turning") is a biological phenomenon, indicating growth or turning movement of a biological organism, usually a plant, in response to an environmental sti

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Answers

Answer:

2/8 are seniors

Step-by-step explanation:

one half = 4/8

4/8 + 1/8 + 1/8 = 6/8.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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y =

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Answers

Answer:

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Step-by-step explanation:

y = (m) (x) + b

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

3 liquid gallons

Step-by-step explanation:

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Answers

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

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Answers

Answer:

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Step-by-step explanation:

2.5% of 8850 is 221.25

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

32.89 should be the answer if I’m reading your question right
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