[tex]if \: \sqrt{2} + \sqrt{3} \div 3 \sqrt{2} - 2 \sqrt{3} = x + \sqrt{6y} \: find \: the \: value \: of \: x \: and \: y[/tex]
Given info:- [tex]\textsf{If (√3+√2)/(3√2-2√3) = x+y√6,} [/tex]
[tex]\textsf{then find the value of x and y?}[/tex]
Explanation:-
[tex]\textsf{Consider LHS=}\\[/tex]
[tex] \rm \: \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ [/tex]
[tex] \rm \: = \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ [/tex]
[tex] = \rm \: \frac{( \sqrt{2 } + \sqrt{3} )(3 \sqrt{2} + 2 \sqrt{3} )}{(3 \sqrt{2} - 2 \sqrt{3})(3 \sqrt{2} + 2 \sqrt{3}) } \\ [/tex]
[tex] \rm \: = \frac{3 \sqrt{2 \times 2} + 2 \sqrt{3 \times 2} + 3 \sqrt{2 \times 3} + 2 \sqrt{3 \times 3} }{(3 \sqrt{2} {)}^{2} - (2 \sqrt{3} {)}^{2} } \\ [/tex]
[tex] \rm = \frac{3 \times 2 + 2 \sqrt{6} + 3 \sqrt{6} + 2 \times 3}{18 - 12} \\ [/tex]
[tex] \rm \: = \frac{12 + 5 \sqrt{6} }{6} \\ [/tex]
[tex] \rm \: = 2 + \frac{5}{6} \sqrt{6} \\ [/tex]
[tex] \rm \therefore \: 2 + \frac{5}{6} \sqrt{6} = x + y \sqrt{6} \\ [/tex]
[tex]\textsf{On, comparing with RHS we notice that:}\\[/tex]
[tex]\textsf{the value of x = 2 and y = 5/6.}\\[/tex]
[tex]\bf{Read more:}[/tex]
[tex]\textsf{Similar questions}\\[/tex]
[tex] \sqrt{6} + \sqrt{11} \div \sqrt{5} + \sqrt{3} [/tex] A. [tex] \sqrt{30} + 3 \sqrt{2} + \sqrt{55} + \sqrt{33} \div 8[/tex] B. [tex] \sqrt{30} - 3 \sqrt{2} ...
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Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.
Answer:
it's simple it means
2×b-8=5
Answer:
b = 10.5
Step-by-step explanation:
The difference of b and 8 is b - 8 and twice this difference is
2(b - 8) = 5 ← distribute parenthesis on left side
2b - 16 = 5 ( add 16 to both sides )
2b = 21 ( divide both sides by 2 )
b = 10.5
The unknown number b is 10.5
A random sample of 150 adults was given an IQ test. It was found that 78 of them scored higher than 100. Based on this, compute a 99% confidence
interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Answer:
answer in the link
Step-by-step explanation:
what is 2 x 5/8 in fractions i need help
Answer:
5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.
5/8 x 2 = 1.25
in decimal form.
Step-by-step explanation:
The solution of the fraction is,
⇒ 5 / 4
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The fraction is,
⇒ 2 × 5/8
Now, We can simplify as;
The fraction is,
⇒ 2 × 5/8
Multiply as;
⇒ 10 / 8
⇒ 5 / 4
Thus, The solution of the fraction is,
⇒ 5 / 4
Learn more aboput the multiplication visit:
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Tisha is drawing stars in her notebook. She draws 999 stars on the first page, 999 stars on the second page, 999 stars on the third page, and 999 stars on the fourth page. What kind of sequence is this?
Answer:
The sequence is that, for every page 999 stars are drawn.
Step-by-step explanation:
999
999
999
999
3996
--
The evolution of 999 began when artist Juice WRLD decided to turn the evil number 6 into good... making and upside down 6 become a 9. Think of it as, "turn that frown upside down", or "turn evil into good".
what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34
Answer:
The slope is 8
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)
a. 3
b. -10
c. 0
dddwdwcd
answer please i’m currently crying
Answer:
rotation around the origin 90 degrees ccw
Step-by-step explanation:
PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3
1- how much time will it take for elena to pay back all the money she borrowed
Answer:
no graph how am i supposed to answer
Step-by-step explanation:
DUDE PUT THE GRAPH WHERE IS iT
Tyra makes $21. 40 per hour at her job for the first 40 hours and $32. 10 for anything over 40 hours. If Tyra typically works 45 hours per week, how much does she earn? a. $856. 00 b. $963. 00 c. $1,016. 50 d. $1,444. 50.
Based on the information the amount she earn is: c. $1,016. 50 .
Hours worked= 45 -40
Hours worker=5 hours
Earning for first 40 hours
Earning = 40 × 21.40
Earning=$856
Earning for over 40 hours
Earning = 5 × 32.10
Earning=$160.5
Total earning
Total earning = $856 + $160.5
Total earning=$1,016.50
Inconclusion the amount she earn is: c. $1,016. 50 .
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Please help me with this!
Answer:
9/40
i think it may be like this
Step-by-step explanation:
3/5.3/8
9/40
Explain why 4xy and 5x²y are not like terms.
-3=2/3(2) what is the answer
When adding, you only add the numerators. The denominator stays the same (Assuming the denominators are the same number). If not, then you will have to find a common denominator first. IN this case, the denominator is already the same. Add the numerator
2/3 + 2/3 = 4/3
Note that the answer gotten is an “improper fraction”, because the numerator is greater than the denominator. Simplify.
4/3 = 3/3 + 1/3
Divide: 3/3 = 1
1 + 1/3 = 1 1/3
1 1/3 is your mixed fraction answer (4/3 for improper fraction answer)
Jill is buying a cookie kit to decorate cookies for her children during the holiday break. She will pay $2.50 per cookie and a $4 service fee. Which equation can be used to find y, the total cost to buy x cookies?
Answer:
4 + 2.5x=cost
Step-by-step explanation:
The cube has an edge of 1/4. What is the volume of the cube?
Step-by-step explanation:
V = Volume of cube
a = edge of cube
Formula of volume of cube:
V = a³
[tex]V = { (\frac{1}{4}) }^{3} \\ V = \frac{1}{64} [/tex]
Volume of the cube = [tex] \frac{1}{64} [/tex]
expand and simplify
(x +3)(x+5)
Answer:
x² + 8x + 15
Step-by-step explanation:
(x +3)(x+5)
=> x² + 5x + 3x + 15
=> x² + 8x + 15
So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.
WILL MARK AS BRAINLIEST
Answer:
18.06
Step-by-step explanation:
7+6=13
34+38=72
13 IS 18.06 PERCENT OUT OF 72.
Answer:
Percentanges are factors so
41 Women + 44 Men = 85 shoppers
7 Women + 6 Men = 13 Online shoppers
13 out of 85 13/85 = 15% of total people surveyed shop online
Step-by-step explanation:
Hope this helps! BH
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 54.5°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{50}{86}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{50}{86}[/tex] ) ≈ 54.5° ( to the nearest tenth )
what is the answer to 5+ (6)(3)
Answer:
23 i think
Step-by-step explanation:
7.4x10^7 in standard form
Answer: 740000000
Step-by-step explanation:
Answer:
0.000074
7.4×10−5
To write in standard notation, move the decimal point on
7.4
over as many times as the power of ten given.
Move to the left if the given power has a negative exponent
Move to the right if the given power has a positive exponent
Therefore:
7.4×10−5=0.000074
shelley has 16.5 ounces of frosting that she wants to divide into 4 equal servings to frost four different cupcakes. how many ounces of frosting should she put on each cupcake
Answer: 4.125
Step-by-step explanation: just divide it but 4 and thats how i got it
Mike can type 1/2 page in 1/6 of an hour. What is Mike's rate per hour
Answer:
4/6
Step-by-step explanation:
change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6
I’ll give brainliest and thanks and 5 stars
Solve for c and d.
Answer:
c = 58, d = 50
Step-by-step explanation:
c = 180 - 50 - 72 = 58
d = 180 - 72 - 58 = 50
Answer:
C = 58
D = 50
Step-by-step explanation:
C is 58 as all angles on a straight line add up to 180 degrees
D is 50 as all angles within a triangle add up to 180 degrees
(72+58 = 130, 180-130 = 50)
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
Answer:
This Inequality has no solution making it false.
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
5,069=322
False
Hope this helps :)
Answer:
Step-by-step explanation:
What is a dot product.
Answer:
In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers
Step-by-step explanation:
Find the value of 7u-8 given that -4u-5=3
Answer:
22
Step-by-step explanation:
-4u - 5 = 3
=> -4u = 8
=> u = -2
=> 7(-2) - 8
=> -14 - 8
=> -22
Therefore, -22 is our answer.
Hoped this helped.
Which of the following has fixed length?
a.) A point b.) A line segment c.) A ray d.) A line.
Answer:
b)A line segment
because a line segment has fixed two points.
Find the quotient of 15.75 and 4.5?
Answer: 3.5
Step-by-step explanation: 15.75 ÷ 4.5 3.5
20 large bottoles can be recyled to make 1 fleece jacket how many fleece jackets can you make with 360 large plastic bottoles
Answer:
18 fleece jackets can be made
I think you have to divide 360 by 20 (Im not sure)
Hopefully this can help :)
Answer these questions
c = 1 > 7 =
According to reliable sources.
Answer:
C > 9
Step-by-step explanation:
First Subtract 1 from both sides
2c/3 + 1 -1 > 7-1
= 2c/3 > 6
Now Multiply bith the sides by 3
3 × 2c/3 > 6 × 3
= 2c > 18
Now Divide both sides by 2
2c/2 > 18/2
= c > 9
The answer was already there on the site but maybe you didn't find it
