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
Which inequality describes all the solutions to -3(4 – x) + 6 < 9 – 2x?
Answers
Answer:
To do inequalities, you just need to solve the equality and then figure out what side (higher or lower) the solution is on and put in the appropriate greater-than, less-than, greater-than-or-equal-to or less-than-or-equal-to sign.
Think about the equality for this one. What equation could we right for the average number of words per week that would put Trevor right at 50,000 after 5 weeks.
If we call the number of words per week, w, we would have
w = [an expression] (You find the expression using the number of words he has to write and how many weeks he has.)
Now think about the inequality. Trevor wants to finish in five weeks or less. So as long as he writes at least this number of words per week, he'll make it. That means we want a greater-than-or-equal to sign:
w ≥ [your expression]
Step-by-step explanation:
The inequality which describes all the solutions to the inequality is
x < 3
Given the inequality expression given as -3(4 – x) + 6 < 9 – 2x, we need to find the solution to the system of inequality as shown:
[tex]-3(4 -x) + 6 < 9 - 2x[/tex]
Expand the bracket
[tex]-3(4 -x) + 6 < 9 - 2x\\-12+3x+6<9-2x\\3x-6<9-2x\\3x+2x<9+6\\5x<15\\x<15/5\\x<3[/tex]
Hence the inequality which describes all the solutions to the inequality is
x < 3
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please help i don't understand. will mark brainliest. answer both questions
Answers
Answer:
both should be rise
Step-by-step explanation:
Answer:
Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.
Step-by-step explanation:
this is the answer to question #2. now mark me as the brainlest!
Please help me with this i dont get it
Answers
100 this time lol sorry about last time
Answers
Answer:
1. 1
2. 40
3. 36
Step-by-step explanation:
brainliest?
Answer:
minus 1 four
40-4
36
Step-by-step explanation:
A biology class examined some flowers in a local meadow. The students saw 63 perennial flowers and 21 annual flowers. What percentage of the flowers were perennials?
Answers
Answer:
63%
Step-by-step explanation:
Answer:
63%
Step-by-step explanation:
Hope I helped
please help me with this math problem I forgot how to solve it
Answers
Answer:
-3
Step-by-step explanation:
3/10s - 1.3 + 1.7s
=
I need to find an equal expression for this. Please guide me through! I need the explanation!!!
Answers
Answer:
20x-13/10
Step-by-step explanation:
change made to your input should not affect the solution
1) 1.7 replaced by (17/10).
2) simplify 17/10
then it equals to 3/10x - 13/10 + 17/10x
3) simplify 13/10
4) simplify 3/10
5) combine the numerator together put the sum or difference over the common denominator then reduce to lowest terms if possible
3x-13/10
6) add it back to 17x/10
3x-13/10 + 17x/10
you will get my answer mentioned above
hope this is helpful to you
The body of a 154-pound person contains approximately 2×102 milligrams of gold and 6×103 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times greater than the number of milligrams of gold in the body?
can you show your work too?
Answers
Answer:
2 x 1 0^2 and 6 x 10^
Step-by-step explanation:
Hope I helped
Brainliest plz :)
A point has coordinates A(-3, 5). Find the coordinates of its image if it's translated by (x - 2, y + 1)
a. A'(-5, 6)
b. A'(1, 6)
c. A'(-1, 6)
d. A'(-1, 4)
Answers
What are the classifications for the triangles in problems 1 and 2?
Answers
Answer:
1. Right Triangle
2. Iscoles Triangle
Step-by-step explanation:
Plz name me the brainliest thank u
please help
If the team’s average time is less than one minute per leg, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?
Answers
Answer:
the eighth graders receive the 50 pts because, they had the number 58 and 58 is under one minute.
Step-by-step explanation:
Answer:
the eighth graders receive the 50 pts because, they had the number 58 and 58 is under one minute.
Step-by-step explanation:
i will give you a drainlyest and 5 stars if you help me combined the like terms to make a simplified expression -2w-5w=
Answers
Answer:
-7w
Step-by-step explanation:
What is the perimeter of △RST?
Answers
Answer:
b
Step-by-step explanation:
sorry if its wrong:/
Perimeter of Triangle 3C+√3C+√2C.
The correct option is (C).
What is the perimeter of the triangle?
Perimeter of a triangle = sum of all three sides
Also, the unit of a triangle's perimeter is the same as the units of the lengths of its sides. In case, the units of lengths of its sides are different, then first convert them into the same unit.
Given that:
RUT= RUS= 90°
and SUR= SRU=45
Let RU=C
So, SU=RU=C
and, RS= √2
Since, RUT= 60
then, UT= √3C and RT=2C
now, perimeter of △RST
=RS +RT+SU+UT
=√2C+2C+C+√3C
=3C+√3C+√2C
Hence, the perimeter of Triangle 3C+√3C+√2C.
Learn more about perimeter of triangle here:
https://brainly.com/question/24388271
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I will give brainliest if you get it right and 1st please answer this question?!
Answers
2,3 and 6
1 is not
2 is
3 is
4 is not
5 is not
6 is
Which equation shows y=3x−15 in standard form?
15x+5y=−1
15x−5y=1
5x−15y=1
5x−15y=−1
Will give brainliest for correct answer
Answers
Answer:
c 5x -15y =1
PLEASE HELP ME!! I WILL MARK BRAINLIEST!!
Answers
Hope this helps
The costs of different sizes of orange juice are showing in the table
Answers
Answer:
the first one is 0.08 second 0.06 third 0.04 fourth 0.035
Step-by-step explanation:
just divide total cost by amount
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.
Mrs. Nygaard’s class has 12 boys and 14 girls. She asked the class members if they prefer a field trip to the local zoo or to an aquarium. She set up a two-way table to summarize the results. Which could describe the row and column headings for Mrs. Nygaard’s table? gender and field trip preference gender and number of students who prefer the aquarium number of boys and number of students who prefer the aquarium number of girls and field trip preference
Answers
Answer:
A.) gender and field trip preference
Step-by-step explanation:
got it right on edge2020
Answer:
A.gender and field trip preference
Step-by-step explanation:
Just did test
What is the ratio of total shapes to stars in simplest form?
Shape Quantity
Triangles 8
Circles 4
Stars 10
Hearts 3
Group of answer choices
2:5
5:2
25:10
Both B and C are correct
Answers
Answer:
5:2
Step-by-step explanation:
Answer:both b and c are correct
Step-by-step explanation:
C is the actual answer and B is a simplified form
I need some help with this question
Help needed!!
Answers
Which answer choice correctly represents 0.513333… ?A.B.C.D.
Answers
I think so cuz I did this and got it right hopefully it is right good luck
Answer:
0.513333...=0.513Step-by-step explanation:
I don't see the choice.
At Mr.Hernandez's floral shop, 1 1/2 dozen roses cost $38.70. In dollars and cents what is the cost of a single rose
Answers
Answer:
$2.15
The rose-buying public still encounters a wide variety in pricing - anything from $10 or under for a dozen red roses at the local corner store to $20 at the supermarket, to more than $90 at a high-end florist
Answer:
$2.15 per rose
Step-by-step explanation:
38.70÷18=2.15
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Answers
Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5% and he left a 20% tip after the tax was added.
Answers
Answer:
$8.82
Step-by-step explanation:
Plz :(
A Taxi cab costs $1.50 for the first mile and $0.75 for each additional mile. Which equation could be solved to find how many miles you can travel for $10, given that “x” is the number of additional miles? (Also solve this equation for the number of additional miles.)
A. 1.5x +0.75 = 10; x =6.17
B. 0.75x + 1.5 = 10; x = 11.333..
C. 1.5x -0.75 =10; x =7.17
D. 0.75x – 1.5 =10; x =15.33
Answers
Answer:
B
Step-by-step explanation:
I just used a calculator and did the math
Please answer the following essay question:
How do you think the settlers’ desire for more land would affect relations with the Indians? Explain your answer.
Your answer should be at least 5-7 sentences in length.
Answers
The land that would be settled on would have already been the Indians land. Just like in modern times, when you trespass on somebodys own property you would make them mad. This would also potentially decrease their hunting territory, further upsetting the Indians. (this isn't 5 sentences but its a start! Good luck :)
5(3m - 6) when simplify
Answers
Answer:
15m-30
have a nice day
The expression in simplified form, obtained from the distributive property of multiplication over addition is; 15·m - 30
What is the distributive property?The distributive property of multiplication over addition states that for numbers, a, b, and c, we get;
a·(b + c) = a·b + a·c
The expression, 5·(3·m - 6) can be simplified by applying the distributive property of multiplication as follows;
5·(3·m - 6) = 5 × 3·m + 5 × (-6) = 15·m - 30
The simplified form of the expression is therefore; 15·m - 30
Learn more on the distributive property here: https://brainly.com/question/2807928
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In 2017, a rock band held a concert in Atlanta, Georgia. The attendance was 53,500. However, in 2018, they returned to Atlanta, but the crowd was only 41,900. What was the percent change in crowd attendance from 2017 to 2018? *
An increase of 21.68%
An increase of 27.68%
A decrease of 21.68%
An decrease of 27.68%
Answers
Answer:
A decrease of 21.68
Step-by-step explanation:
Each week, Sachi has 3 soccer practices that each last 45 minutes. Write the unit rate in minutes per practice. Then find the total time she practices soccer each week.
Answers
ok! I'm pretty sure the answer is 135. But I could be wrong.
Explanation!
3 x 45 = 135.
So your answer would be 135.
Please correct me if Im wrong. Thank You!
Maybe brainliest? (but only if right lol)