Create a proportion using the form = to represent the following word problem.
78% of what number is 42?
Answers
x = 53.85
Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.
1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42
2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85
3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :
42/0.78 = 53.85
1. We assume, that the number 42 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 42 is 100%, so we can write it down as 42=100%.
4. We know, that x is 78% of the output value, so we can write it down as x=78%.
5. Now we have two simple equations:
1) 42=100%
2) x=78%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42/x=100%/78%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 78% of 42
42/x=100/78
(42/x)*x=(100/78)*x - we multiply both sides of the equation by x
42=1.28205128205*x - we divide both sides of the equation by (1.28205128205) to get x
42/1.28205128205=x
32.76=x
x=32.76
Related Questions
make this into three sentences
The rule that the Right of Occupancy is based on the fact that the Federal Government cannot grant what it does not have
Answers
Due to the Right of Occupancy, the Federal Government cannot grant what it does not own. This means that the Government is not allowed to give or take from others what itself doesn't own. This could consist of someone being in court for any reason, but due to the Right of Occupancy, if the court does not have a warrant to search the suspect's property or belongings, they are not allowed to use the suspect's property against them in court due to the fact that it simply isn't theirs.
Pls answer this:
Sam invests $300 in a bank account that earns simple interest. He earns $24 at the end of 12 months. What is his interest rate?
Answers
Answer:
0.667% per month
Step-by-step explanation:
12 months → $24
1 month → $2
interest rate: 2/300 x 100% = 0.667% per month (3s.f.)
In 15 minutes Frankita created 15 drawings. In 30 minutes she created 17 drawings. In 45 minutes she created 20 drawings. In 60 minutes she created 24 drawings. If Frankita continues making drawings in the same pattern, how many total drawings will Frankita have created at the end of 90 minutes?
Answers
Answer:
Frankita will create 29 drawings at the end of 75 minutes.
Step-by-step explanation:
hope this helps :)
Simplify to create an equivalent expression.
3(2+6d)-5=3(2+6d)−5=3, left parenthesis, 2, plus, 6, d, right parenthesis, minus, 5, equals
Answers
For the current year come up with rules to convert a given date into a day of the week for both the ordinal and international fixed calendars. Then if someone told you that thier birthday was on a Thursday could you come up with a rule to figure out his birthday? Why or Why not?
Thier is 3 questions pls answer them all and pls explain because I don't understand at all.
Answers
9514 1404 393
Answer:
((ordinal date) +3) mod 7 = weekday number(IFC date) mod 7 = weekday numberno rule is possibleStep-by-step explanation:
a) Ordinal Calendar
The ordinal calendar numbers days of the year sequentially, so any given date is specified only by its day number: 1 to 366. In 2020, Jan 1 was a Wednesday, so the rule needs to be ...
day of week = ((ordinal date) +3) mod 7
This will give a result from 0 to 6. Those numbers map to days of the week as follows:
0: Saturday; 1: Sunday; 2: Monday; 3: Tuesday; 4: Wednesday; 5: Thursday; 6: Friday
__
b) International Fixed Calendar
The international fixed calendar has 13 months of 28 days. The first day of the year is always Sunday, so the day of the week is ...
day of week = (International Fixed Calendar date) mod 7
In 2020, there are two "leap days" that have day number 29. Days numbered 29 have no associated day of the week.
__
c) There is no rule that maps weekday to day of the year. (Each weekday is repeated many times (52 or 53) through the year, so there can be no functional relationship.)
What steps should be taken to complete the conversion?
8 mi 1.61k 1000 m
x х
X
1 mi 1k
1
ОООО
Cancel the mile and kilometer units. Divide 8 by 1.61, then multiply by 1000.
Cancel the mile and kilometer units. Multiply 8 by 1.61, then multiply by 1000.
Cancel the mile and kilometer units. Multiply 8 by 1.61, then divide by 1000.
Cancel the mile and kilometer units. Multiply 8 by 1000, then divide by 1.61.
Answers
Answer:
The third option should be correct please correct me if im wrong
its for science but its got math involved
its got to do with speed, time, and distance
Answers
_
8
Please help me if you have the intelligence to thank you
Answers
Answer:
0
Step-by-step explanation:
The population of a town can be modeled by f(x) = 19,820 * 0.98^x. Identify the initial value of the population. Is the population increasing or decreasing? What is the growth or decay factor? How does the population change each year?
Answers
Answer:
all ik is that its increasing i think
Step-by-step explanation:
What is the distance between (2, -1) and (-1, -5) on the coordinat plane?
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Answer:
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Step-by-step explanation:
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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:
brainliest? :)
A plant’s growth rate is observed one time per week over the course of 5 weeks. Since the plant is still a seedling in the first two weeks, the observer starts to record the height of the plant in Week 2. The observer notes that on week 2, the plant is 4 inches high. On week 5, the plant is 13 inches high.
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Answer:
um this is confusing.....
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Answers
Answer:
20
Step-by-step explanation:
Write the following number in standard form: 3.471 × 10^−5
Answers
IF YOU SHOW YOUR WORK I WILL MARK YOU AS BRAINLIEST!! WORTH 15 POINTS!!! A water pump moves 360 gallons of water in 18 minutes. Draw a graph of the situation. How long would it take to pump 1,080 gallons of water? Find the number of gallons pumped each minute.
Answers
Answer:
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Mark and Dennis help their grandfather make rootbeer. They need 4 pounds of sassafras to make one barrel of rootbeer, but they only have 1 pound.
How much rootbeer can they make?
Answers
Answer:
im not sure if i have a answer but here's what i have
Step-by-step explanation:
4 x 1=4
4/1=4
4-1=3
4+1=5 but im pretty sure it's one of the first two srry i wasn't much help
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Answers
Answer:
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Step-by-step explanation:
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Answers
:explanation I took the quiz on edugenity
He reflected awhile, rubbing his nose and cheeks, then skirted to the left, stepping gingerly and testing the footing for each step.
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Answers
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Answers
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Step-by-step explanation:
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Answers
Answer:
18/7
Step-by-step explanation:
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Answer:
18/7Step-by-step explanation:
[tex]2\frac{4} {7} \\\\=\frac{7\times2+4}{7} \\\\=\frac{14+4}{7}\\\\=\frac{18}{7}[/tex]
[PICTURE ATTACHED] HEEELLLPP!
Answers
Answer:
10
Step-by-step explanation:
Quartiles are the values that divide a list of numbers into quarters: Put the list of numbers in order. Then cut the list into four equal parts. The Quartiles are at the "cuts"
...
Box and Whisker Plot
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Answer:
The second 6
Step-by-step explanation:
So first quartile is the middle number in the beginning section after the middle number if that makes sense. The middle number is 10 so we break it into halves around that. The middle number in the first half is the second 6
5,6,6,7,7,10,14,17,21,25,275,6,6,7,7, (10) , 14,17,21,25,27 5,6,(6),7,7Can you help me?
(Only answer if you know)
Answers
Answer:
it is Q4
Step-by-step explanation:
not sure how to explain it
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
Complete the translation of the figure given a point of the image. ... 10. Nonto 0. 0. 1 2 3 4 5 6 7 8 9 10. (X) = (x-4,-2). (x,y)=(x+3,4-3). OTI CU ... Give the coordinates of the vertices of the images. 5. Reflect triangle GHI over the ... Find the scale factor of each dilation. 1. 2. Rectangle KLMN is dilated to form ... A. 20%, 20%, 120.
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can you show your work too?
re asked it cs some bozo stole my points but pls hellp asap
Answers
Answer:
5800
Step-by-step explanation:
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Answers
Answer:during phase chages
Step-by-step explanation:
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HELp with this l would give you brainlist
Answers
Answer:
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Step-by-step explanation:
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