Answer:
30
Step-by-step explanation:
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Find the general solution of (2x² + y)dx + (x²y - x)dy = 0
Multiply the original DE by xy:
xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)
Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes
x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0
This final equation is easily recognized as separable:
dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides
Mr. Roberts had $9,512 in savings. He saved another $488. He then used all his money to buy 500 books. He sold the books for $35 each. How much did Mr. Roberts earn from selling each book?
Answer:
1750 for selling each book
Step-by-step explanation:
In all 11,750
Answer:
$17,500
Step-by-step explanation:
Because
He sold each book in $35.
For 500 books
500*$35
$17,500
David is having a cookout. Hot dogs and buns are sold based on the following quantities per package.
Item
Amount Per Package
Hot dog buns
12
Hot dogs
10
A
David thought that he would have to buy 12 packages of hot dog buns and 10 packages of hot dogs to have one bun for each hot dog.
What is the LEAST amount of each David would need to buy to have an equal number of hot dogs and buns?
David should buy 2 packages of buns and 2 packages of hot dogs,
David should buy 6 packages of buns and 5 packages of hot dogs.
с David should buy 5 packages of buns and 6 packages of hot dogs,
D David should buy 22 packages of buns and 22 packages of hot dogs
B
Answer: Choice C) David should buy 5 packages of buns and 6 packages of hot dogs.
========================================================
Explanation:
Focus on the hot dog buns for now
1 package = 12 hot dog buns
2 packages = 24 hot dog buns (multiply both sides by 2)
3 packages = 36 hot dog buns (multiply original equation by 3)
We can see that the multiples of 12 are being listed. So we have
12, 24, 36, 48, 60, 72, 84, ...
as the possible number of hot dog buns we could get if we buy 1,2,3... packages.
The possible number of hot dogs we can get are
10, 20, 30, 40, 50, 60, 70, 80, ...
which are multiples of 10. Simply add 10 to each item to get the next one.
--------------------------------
Considering these two sets
12, 24, 36, 48, 60, 72, 84, ...
10, 20, 30, 40, 50, 60, 70, 80, ...
what is the lowest common multiple? That would be 60 since it is found in both lists and it is the smallest in common.
The LCM of 12 and 10 is 60.
If he wanted 60 hot dog buns, then 60/12 = 5 packages of buns is what he needs.
If he wanted 60 hot dogs, then he needs 60/10 = 6 packages of hot dogs.
Therefore, David should buy 5 packages of buns and 6 packages of hot dogs. The answer is choice C.
--------------------------------
Side note: a different way to find the LCM is to multiply 10 and 12 to get 10*12 = 120. Then we divide by the GCF 2 getting 120/2 = 60.
PLEASE HELP! WILL MARK BRAINLIEST IF RIGHT! 3 QUESTIONS!
1. Tia cut a 4-meter 8-centimeter wire into 10 equal pieces. Marta cut a 540-centimeter wire into 9 equal pieces. How much longer is one of Marta’s wires than one of Tia’s?
2. Jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons of paint will be used to paint the inside of the barn?
3. String A is 35 centimeters long. String B is 5 times as long as String A. Both are necessary to create a decorative bottle. Find the total length of string needed for 17 identical decorative bottles. Express your answer in meters.
Answer:
Tia cut a 4-meter 8-centimeter wire into 10 equal pieces. for Jay 10 quarts would be the answer. Step-by-step explanation: He needs x quarts for the inside painting and x + 19 quarts for the outside. These two measures add up to 2x + 19, which equals 107 (quarts) total. The last one is tring A is 35 cm long, string B is 5 times as long as string A, then string B is 35·5=175 cm long. In total both strings have length 35+175=210 cm. The total length of string needed for 17 identical decirative bottes is cm that is 35.7 m.
If the ration of bananas to apples was 9 to 15. If there were twelve bananas, how many total pieces of fruits was there
Answer:
IM not too sure but i think 30
Step-by-step explanation:
Answer:
There would be 30 fruits in total.
Step-by-step explanation:
9 to 15 = 12 to 18
12+18=30
Helllp and show all the work n o troll answer plz and if you don’t feel like doing the work plz don’t answer plz
Answer:
same way here too lol ok so nvm about the points but can i pls just have brainliest
if you bought 5 apples for $2. What is the cost for 1 apple
Answer:
$0.40
Step-by-step explanation:
you divide the 2 by 5 because they two dollars is being spread throughout the 5 apples. 2 divided by 5 is 0.40
Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?
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▹ Answer
1/18 of a gallon of juice in each cup.
▹ Step-by-Step Explanation
Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.
[tex]\frac{4}{9} / 8[/tex]
Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:
[tex]\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}[/tex]
Our final answer will be 1/18 of a gallon of juice in each cup.
Hope this helps!
CloutAnswers ❁
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Find three consecutive integers whose sum is 33
Answer:
10 +11 + 12
Step-by-step explanation:
We know this because 10 + 11 +12 equals 33
Slope pls help ASAP due tonight
Answer:
y=x+ -5
i think
The slope would be 1, which is basically just x but yeah, the other blank would be -5 since it's the y-intercept (where the line touches the y-xis) I hope this helps!!!
the marijority of the population in the United states _________.
A. French
B.spanish
C.English
D.native languages
Solve each of the following:
a. 3 movie tickets cost $36. At this rate, what is the cost per ticket?
b. 3 ice cream cones cost $8.25. At this rate, how
much do 2 ice cream cones cost?
C-3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
a. $
b. $
Step-by-step explanation:
A. 36÷3=12 $12 per ticket
B. 8.25÷3=2.75 $2.75 per ice-cream cone so do 2.75×2=5.50 $5.50 for 2 ice creams
C. 0.99÷3=0.33 $0.33 per banana so do 0.33×5=1.65
$1.65 for 5 bananas
HOPE THIS HELPS
Jayme was almost finished running the Los Angeles Marathon. So far, she has ran 25 miles in 6 hours. At the same rate, how long would it take her to do a 100 miles Triathlon?
Answer:
24 hours because if she travels 25 miles in 6 hours and you multiply 25 by 4 to get 100, you need to multiply 6 by 4 in order for how long it takes her to run 100 miles. 6 X 4 = 24 hours
Anna got 45 answers correctly out of an unknown number of questions
which was 90% correct. How many questions were there?*
5 or
55 or
60
Answer:
The answer for this problem would be 50.
Step-by-step explanation:
If you calculate 90% of 50, you should get 45 so, the answer is 50.
When a decimal is written in word form, what indicates whether the number can be written as a mixed number or as a fraction less than 1
9514 1404 393
Answer:
"and"
Step-by-step explanation:
Properly written, the word "and" separates the integer portion from the fractional portion of the number. If there is no "and", then there is no integer portion, so the number is a fraction less than 1.
Examples:
one and three tenths = 1 3/10
thirty-one thousandths = 31/1000
The factors of two numbers are given below: Number 1: 1, 2, 3, 6, 9, 18. Number 2: 1, 2, 3, 4, 6, 12. What is the least common multiple of the numbers?
Answer:
36 is your answer hope this helps
S
What is the value of x?
12 units
16
0
15 units
O
20 units
R
Х
Q
0
24 units
Answer:
C. 20 units
Step-by-step explanation:
x > 16 because the hypotenuse is always the longest side
9 + 16 = 25
25 > x
that leaves you with 20 units and 24 units but 24 units is too long, so C. 20 units is the answer
Tthe value of x is 20 u
To get the value of x from the diagram, we will use the triangle altitude theorem as shown below;
From the diagram;
9/RT = RT/16
RT^2 = 9*16
RT^2= 144
RT = 12
Get the value of x using the pythagoras theorm;
x^2 = 16^2 + 12^2
x^2 = 256 + 144
x^2 = 400
x = 20
Hence the value of x is 20 units
Learn more on pythagoras theorem here: https://brainly.com/question/343682
What did my teacher do to get the answer to this question?
Step-by-step explanation:
since perimeter is adding all around she took the all the values and added them as above. as you can see 3√2 and 4√2 has the same square root so she added 3+4 which gave us 7√2 and then added the 2√5 but since they don't have the same square root we can't add them like we did in the other so we'll just put 7√2+2√5
Is the number 2 composite or prime
Answer:
prime Number
Step-by-step explanation:
because 2 can be only divided by itself and one
Answer:
the number 2 is the only even prime number
Find the value of X.
Answer:
11
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
67=6x+1 (opp. angles are equal)
66=6x
x=66/6=11
Brendan worked 7 11/12 hours on Saturday, on Sunday he worked 84% of the hours he worked on Saturday. How many total hours do he work last weekend?
Answer:
[tex]14\frac{17}{30}[/tex]hrs
Step-by-step explanation:
Given parameters:
Time worked on Saturday = [tex]7\frac{11}{12}[/tex]
Unknown:
Total hours he worked last weekend = ?
Solution:
Since Brendan worked 84% of the time he worked on Saturday on Sunday;
Time worked on Sunday = [tex]\frac{84}{100}[/tex] x [tex]\frac{95}{12}[/tex] = [tex]\frac{133}{20}[/tex]
Total time worked last weekend = Time worked on Saturday + Time worked on Sunday;
Total time worked = [tex]\frac{95}{12}[/tex] + [tex]\frac{133}{20}[/tex]
Total time worked = [tex]\frac{475 + 399}{60}[/tex]
Total time worked = [tex]\frac{874}{60}[/tex]
Total time worked = [tex]\frac{437}{30}[/tex] = [tex]14\frac{17}{30}[/tex]hrs
Pleaseeeeeewe helpppppp
Answer:B
Step-by-step explanation:
Use an exponent to write each expression 3/4 x 3/4 x 3/4 x 3/4 x 3/4
Answer:
[tex] { \frac{3}{4} }^{5} [/tex]
The given expression 3/4 x 3/4 x 3/4 x 3/4 x 3/4 can be written as (3/4)⁵ in the form of an exponent.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
An exponent is a shorthand way of representing a repeated multiplication of the same number.
As per the given question, the number being multiplied is 3/4, and it is being multiplied by itself 5 times. The exponent, 5, tells us how many times the base, 3/4, is being multiplied by itself.
⇒ 3/4 x 3/4 x 3/4 x 3/4 x 3/4
⇒ (3/4)⁵
Therefore, the given expression can be written as (3/4)⁵.
Learn more about Expressions here :
brainly.com/question/21751419
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AA similarity theorem ASA similarity theorem AAS similarity theorem SAS similarity theorem
Which point of view is used in The Call of the Wild?
first person
second person
third-person limited
third-person omniscient
Answer:
I am still trying to pick between third-person limited and third-person omniscient...Let me know which one is right :)
Step-by-step explanation:
Answer:
The answer is third-person omniscient I did it on edge
Step-by-step explanation:
so itz 100% correct trust me
its the day befofe valentines day and shelly needs to get valentine cards for all of her classmates the desks are arranged in a rectangle 7 rows wide and 5 rows long if there are 3 desks that are empty how many students are in the class
Answer:
21
Step-by-step explanation:
(7x2)+(5x2)-3=21
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Answer:
32 students
Step-by-step explanation:
7 times 5= 35
35-3=32 students
what are the common factors of 20 and 24
Answer:
4
Step-by-step explanation:
4 x 5= 20
4x6 = 24
So 4 can go in 20 and 24 making it the common factor
The common factor of 20 and 24 would be; 4
How to find Greatest common factor?Greatest common factor, as the nathe me implies, is greatest among all common factors among the quantities given. We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together greatest GCF(Greatest common factor).
We need to find the common factors of 20 and 24
Therefore,
Factors are;
4 x 5= 20
4 x 6 = 24
Hence, we can conclude that 4 can go in 20 and 24. it is the common factor.
The common factor of 20 and 24 would be; 4
Learn more about the greatest common factor here:
https://brainly.com/question/207329
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A fair six-sided die is rolled. Find the probability of getting a 1
Answer:
1/6
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
If a six-sided dice is rolled, what is the probably getting a 1? Under the standard assumptions (unbiased die, sides numbered 1–6), the probability of getting a 1 is 1/6.
What is the equation of the line that passes through the point (-6,-5) and has a slope of 2/3
Answer:
the answer is y=2/3x-5
Can someone help please ?
Answer:
1. perimeter of Trapezoid = 35x+18
Option F is correct.
2. perimeter of square = 16x-32
Option C is correct.
3. perimeter of Pentagon = 10x-20
Option A is correct.
4. perimeter of Rhombus = 28x+8
Option H is correct.
Step-by-step explanation:
1. Trapezoid Perimeter
Side1 a: 9x+4
Side2 b: 7x+8
Side3 c: 12x-2
Side4 d: 7x+8
The formula used is: [tex]Perimeter=a+b+c+d[/tex]
Putting values and finding perimeter
[tex]Perimeter=a+b+c+d\\Perimeter=9x+4+7x+8+12x-2+7x+8\\Perimeter=9x+7x+12x+7x+4+8-2+8\\Perimeter=35x+18[/tex]
So, perimeter = 35x+18
Option F is correct.
2. Square Perimeter
Side of square = 4x-8
The formula used is:[tex]Perimeter=4a[/tex]
where a is side of square
Putting values in formula
[tex]Perimeter=4a\\Perimeter=4(4x-8)\\Perimeter=16x-32[/tex]
So, perimeter of square = 16x-32
Option C is correct.
3. Pentagons perimeter
Side of pentagon= 2x-4
The formula used is:[tex]Perimeter=5a[/tex]
where a is side of pentagon.
Putting values in formula
[tex]Perimeter=5a\\Perimeter=5(2x-4)\\Perimeter=10x-20[/tex]
So, perimeter of Pentagon = 10x-20
Option A is correct.
4. Rhombus perimeter
Side of Rhombus=7x+2
The formula used is:[tex]Perimeter=4a[/tex]
where a is side of rhombus
Putting values in formula
[tex]Perimeter=4a\\Perimeter=4(7x+2)\\Perimeter=28x+8[/tex]
So, perimeter of Rhombus = 28x+8
Option H is correct.