(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?

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

Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distribution in simulation modeling. It does not permit negative values. There is a 95% chance that values will be within ±2 standard deviations of the mean. The user must specify the maximum positive value allowed. It is obtained by the positive and negative square roots of a uniform random variable.

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.

At a furniture store, the employees earn a 2.5% commission on every sale they make. If Ginny made $8850 in sales one week, how much did she earn in commission?
help please :( 100 points

Answers

Answer:

She earned 221.25 in commission

Step-by-step explanation:

2.5% of 8850 is 221.25

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

This angle cuts out 1/4 of the circle. Find the measure of the angle.

Answers

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

What is the answer please help no links I will report

Answers

Answer:

Step-by-step explanation:

because its the middle number

help with math!!
Find the volume of each right rectangular prism

Answers

Answer:

7: 7.75 8: 6.98

Step-by-step explanation:

15) Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of
water at the store. How many gallons of liquid did she buy?

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

Find the area of the equilateral triangle to the nearest hundredth, given the radius.

Answers

9514 1404 393

Answer:

20.78 square units

Step-by-step explanation:

The area of a regular polygon of radius r and number of sides n is given by ...

A = (n/2)r²sin(360°/n)

For this regular 3-gon of radius 4, the area is ...

A = (3/2)(4²)sin(360°/3) = 24(√3/2) = 12√3 . . . square units

The area is about 20.78 square units.

Find the surface area of the prism. 3m, 4m, 8m,5m

Answers

Step-by-step explanation:

480 is the answer // provide picture for better answer

A walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path how far power are the 1st 2 bushes along the path

Answers

Answer:

The bushes will be located 6 meters apart from each other.

Step-by-step explanation:

Given that at a walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path, to determine how far away are the 1st 2 bushes along the path, the following calculation must be performed:

78/13 = X

6 = X

Thus, since the first bush is at meter 0, the remaining 13 bushes will be located 6 meters apart.

85% of x is 51. Write an equation that represents the situation.

Answers

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

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

PLEASE HELPP!!!!

Please find the areas of these shape

Answers

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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(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?

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(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?