(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:
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:
[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 = xSubstitute 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]
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Please help me i will give you 50 points if you do
Answers
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 ^^
There are 400 thousand people living in Miami and 300 thousand people living in Anchorage. Which statement below shows which city has more people living in it? - 400 thousand people > 300 thousand people, so there are more people living in Miami. 400 thousand people < 300 thousand people, so there are more people living in Miami. 400 thousand people > 300 thousand people, so there are more people living in Anchorage. 400 thousand people < 300 thousand people, so there are more people living in Anchorage.
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.
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
Answer:
90 degrees
Step-by-step explanation:
The length of one rectangle is 3 1/2 mm with a width of 2 4/5 mm . What is the area of the rectangle?
Answers
Answer:
9.8
Step-by-step explanation:
Pricilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost
$8.39 how much does Priscilla sell each scarf for?
Answers
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.
A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?
Answers
Answer:
2/8 are seniors
Step-by-step explanation:
one half = 4/8
4/8 + 1/8 + 1/8 = 6/8.
What's left is 2/8
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Answers
2: (1,-4)
3: min
4: -3
5: -1 and 3
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13: c=121
those are all i can do for now hope they help
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
The rabbit population at the city park increases by 14% per year. If there are intially 481 rabbits in the city park.
Write a model for the population (y) in terms of years (t).
y =
Find the population in 17 years.
Answers
Answer:
y = 0.14t + 481
Population in 17 years: 483.38
Step-by-step explanation:
y = (m) (x) + b
y = (slope) (x) + starting value
1. Write an integer that can
represent 200 years ago?
Answers
200 is an integer
or 20
or 2
I will give Brainliest answer!
What is the volume of the cylinder below? write your answer in terms of pie.
Height= 11.5 cm
Radius= 6 cm
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:
:))
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 solution to 8x=2/3
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there should be a cross multiplication
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Answers
Answer:
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Step-by-step explanation:
a² + b² = c²
65² + 72² = 97²
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9409 = 9409
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Answer:
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Step-by-step explanation:
Find the surface area of the prism. 3m, 4m, 8m,5m
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Answer:
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Step-by-step explanation:
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP - A triangle has side lengths of 7, 23, and 25. Is the triangle a right triangle? *
Yes, the triangle is a right triangle.
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
can someone help me pls?
Answers
Since you want the whole perimeter of the circle, which is the shaded area, you will find the circumference (perimeter) of the circle.
Using the equation of:
pi x diameter
and you will find your answer
in this case your answer is 37.699
guys someon about to comit u know what so go to this link and help out
https://brainly.com/question/22760250
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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!
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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:
3 liquid gallons
Step-by-step explanation:
3 + 4 + 5 = 12
12 ÷ 4 = 3 liquid gallons
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
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6
Step-by-step explanation:
because its the middle number
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Find the volume of each right rectangular prism
Answers
Answer:
7: 7.75 8: 6.98
Step-by-step explanation:
Which of the numbers given
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Select all that apply:
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7144
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Answers
Answer:
7144
Step-by-step explanation:
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.
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.