Given that
log (x+y)/5 =( 1/2) {log x+logy}
We know that
log a+ log b = log ab
⇛log (x+y)/5 =( 1/2) log(xy)
We know that log a^m = m log a
⇛log (x+y)/5 = log (xy)^1/2
⇛log (x+y)/5 = log√(xy)
⇛(x+y)/5 = √(xy)
On squaring both sides then
⇛{ (x+y)/5}^2 = {√(xy)}^2
⇛(x+y)^2/5^2 = xy
⇛(x^2+y^2+2xy)/25 = xy
⇛x^2+y^2+2xy = 25xy
⇛x^2+y^2 = 25xy-2xy
⇛x^2+y^2 = 23xy
⇛( x^2+y^2)/xy = 23
⇛(x^2/xy) +(y^2/xy) = 23
⇛{(x×x)/xy} +{(y×y)/xy} = 23
⇛(x/y)+(y/x) = 23
Therefore, (x/y)+(y/x) = 23
Hence, the value of (x/y)+(y/x) is 23.
What is 1/4 + 10/16?
Answer:
[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]
[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]
[tex]= \frac{14}{16} \\[/tex]
[tex]= \frac{7}{8}[/tex]
hope it helps :)
mark brainliest!
In two or three sentences, summarize what the essay suggests could help women succeed in
business. How does the summary help you identify Sandberg's message, audience, and
purpose?
The essay suggests women first need to end with internal barriers to succeed in business and this will later destroy external barriers. This helps identify the author's main message, audience, and purpose because it shows the main idea of the essay.
Lean In is an essay by Sheryl Sandberg about gender inequality and the way this inequality has prevented women from being successful and represented in specific areas including government and business.
About business, Sandberg suggests women are quite limited if compared to men due to sexism, sexual harassment, and even internal barriers women create. To stop this situation the author proposes women need to destroy internal barriers such as:
Believing they should do most of the housework and childcare-Believing they cannot be as successful as other women.Holding themselves due to unequal conditions.Moreover, this idea helps identify other elements of the text by stating the main purpose.
Main message: Women need to destroy mental and internal barriers.Audience: Women.Purpose: To inspire women to end inequality.Note: This question is incomplete because the text it refers to it is not given; here is the information about the text.
"Lean In: Women, work, and the will to lead" by Sheryl Sandberg.
Learn more about sexism in: https://brainly.com/question/6022376
Is (3, 0) a solution to the equation y = 5x + 3? *
1 point
Answer:
no
Step-by-step explanation:
Substitute x = 3 into the equation and if the result is 0 then it is a solution
y = 5(3) + 3 = 15 + 3 = 18 ≠ 0
Then (3, 0 ) is not a solution to the equation
help I have foreign parents.....they will literally disown me if I fail - ♥️
We know that:
Total degrees of triangle: 180°Using this clue, we can find m∠1.
=> 67 + 62 + m∠1 = 180=> 129 + m∠1 = 180=> m∠1 = 180 - 129=> m∠1 = 51°Conclusion:We have finally found the answer to the missing angle. The answer is 51°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
27 children
Step-by-step explanation:
So, if you add 9 +4 = 13. 13 x 3 = 39.
3 times 9 = 27
Hope this helped! Pls mark me brainliest!
Answer:
27 children
Step-by-step explanation:
9+4=13
39/13=3
9x3=27
Analyze the student’s work. Is the answer correct? Explain. No, the student should have added 3 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths. No, the student should have subtracted 2 from â€"6 to find the distance. No, the student should have added 2 at the end to add to the starting point. Yes, the student’s answer is correct.
The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5
From the complete question, the given parameters are:
[tex]Ratio =3 : 4[/tex] ---- the ratio
[tex]A = -6[/tex]
[tex]B = 2[/tex]
The student's steps are as follows:
[tex]C = \frac 34 (2 -(-6)) + (-6)[/tex]
[tex]C = \frac 34 (8) + (-6)[/tex]
[tex]C = 6 -6[/tex]
[tex]C = 0[/tex]
To determine the position of point C from the given ratio, we make use of the following quotient;
[tex]Position = \frac 3{3 + 4}[/tex]
[tex]Position = \frac 37[/tex]
This means that, the student ought to add 3 and 7, to get the total number of section.
Hence, the student's work is incorrect, and the reason is (a)
Read more about partitions at:
https://brainly.com/question/3573606
Answer:
A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7
Step-by-step explanation:
edge 2022
what is 7x5 and ummmmmm
Answer:
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
can someone help me with this
Answer:
b
Step-by-step explanation:
In 13, write an equation. Complete the table and graph to solve the problem. A puppy weighs 1 pound. What does the puppy weigh after 4 weeks? Puppy gains 1/2 pound each week.
I figured out that the puppy weighs 3 lbs., but I don't get how to graph it. HELP? (this was due a few days ago)
Answer:
It would be y=0.5x+1
Step-by-step explanation:
1/2 is the x which is the slope and it starts at 1 so that is the the y-intercept
Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives. Number of Hours vs. Amount Left in Tank Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0 Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank? g = 18 â€" 2h; 18 gallons g = 18 â€" 2h; 16 gallons g = 3h 3; 30 gallons g = 3h 3; 12 gallons.
The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.
Given :
The table below shows the amount of gas left in her tank as she drives.Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:
Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.
[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]
Step 3 - Simplify the above equation.
[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]
Step 4 - Now, substitute the value of (h = 0) in the above equation.
[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/11897796
Answer:
g = 18 – 2h; 18 gallons
Step-by-step explanation:
The answer above is correct.
Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61
Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you
Step-by-step explanation:
The square of a number minus twice the number is 48. Find the number.
Answer: 8 or -6
Step-by-step explanation:
x^2 - 2x = 48
x^2 - 2x - 48 = 0
(x-8)(x+6) = 0
x = 8 or -6
can you please help me
Answer:
Step-by-step explanation:
1. HI // KL , J is midpoint of HL 1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate interior angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. HJ ≅ JL 4. Given
5. ΔHIJ ≅ ΔLKJ 5. A S A congruent
(Angle Side Angle)
Find the value of x, y, and z, in the rhombus below.
Answer:
x = 19, y = -7, z = -18
Step-by-step explanation:
Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.
2x - 9 = 29
2x = 38
x = 19
-3y + 8 = 29
-3y = 21
y = -7
-2z - 7 = 29
-2z = 36
z = -18
The value of the variables x, y, and z will be 19, -7, and -18, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
All the sides of the rhombus are congruent with each other.
Then the equations are given below.
2x - 9 = 29
-3y + 8 = 29
-2z - 7 = 29
Simplify the first equation, then we have
2x - 9 = 29
2x = 38
x = 19
Simplify the second equation, then we have
-3y + 8 = 29
3y = - 21
y = -7
Simplify the third equation, then we have
-2z - 7 = 29
2z = - 36
z = - 18
The value of the variables x, y, and z will be 19, -7, and -18, respectively.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
The solution set of inqulity 4>-2x in R is …
[tex]4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)[/tex]
Please help!!!!!!!!!!!!!
Answer:
B and C
Step-by-step explanation:
look at comments
The letter in front of a number, showing multiplication.
A.) Combining like terms
B.) Coefficient
C.) Distributive property
D.) Like terms
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?
Answer:
I would expect 1 person to want mustard.
Explanation:
6 is half of 12, and 1 is half of 2 :)
Hope this helped
I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six
the product of 20 and z
Answer:
20z
Step-by-step explanation:
just times 20*z which give you 20z
help pls !! i am confused
1.
2.
3.
4.
56 is what percent of 80
Answer:
70%
Step-by-step explanation:
Therefore, we can conclude that the required percentage is 70% that is 70% of 80 is 56.
Hopes This Helps :)
The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.
Answer:
Rhombus
Step-by-step explanation:
The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.
rewrite the two statements as a single biconditional statement: A rectangle is a quadrilateral that has all perpendicular sides. If all sides of a quadrilateral are perpendicular, then it is a rectangle.
Your friend claims that only true conditional statements have a true contrapositive. is your friend correct? explain your reasoning
A) The single biconditional statement of the given statement is;
A quadrilateral is a rectangle if and only if it has all perpendicular sides
B) The statement made by your friend about only true conditional statements having a true contrapositive is; True
A biconditional statement is one that combines 2 conditional statements that are related to one another. An example of a biconditional statement is;
The polygon has only four sides if and only if the polygon is a quadrilateral.
That biconditional statement has combined two individual conditional statements.
Now, to our question, we are given two statements;
Statement 1; A rectangle is a quadrilateral that has all perpendicular sides.
Statement 2; If all sides of a quadrilateral are perpendicular, then it is a rectangle.
Combining both statements means that the biconditional statement will be; A quadrilateral is a rectangle if and only if it has all perpendicular sides
B) A contrapositive is when we switch and negate the hypothesis and the conclusion of a conditional statement. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
Thus, if the conditional statement is true, then we will have a true contrapositive.
Read more about contrapositives at; https://brainly.com/question/12276922
If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number?.
The value of y will be 18 or 144.
Given information:
The given expression is [tex]\sqrt[3]{\frac{144}{y} }[/tex].
It is required to find the values of y which are whole numbers.
Now, factorize 144 as,
[tex]144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3[/tex]
So, for the value of given expression to be a whole number, the value of y should be,
[tex]2\times3\times3=18[/tex] or 144.
For the above values of y, the given expression will be,
[tex]\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1[/tex]
Therefore, the value of y will be 18 or 144.
For more details, refer to the link:
https://brainly.com/question/17429689
Answer:
Its B. 2
Step-by-step explanation:
Edge
Write an equation of the line that passes through (0,5.2) and (-1.5,1).
y=
Answer:
Step-by-step explanation:
Given:
y1 = 5.2
y2 = 1
x1 = 0
x2 = -1.5
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 1 - 5.2 ) / ( -1.5 - 0 )
m = -4.2 / -1.5
m = 2.8
then
y - y1 = m ( x - x1 )
y - 5.2 = 2.8 ( x - 0 )
y - 5.2 = 2.8x - 0
y = 2.8x + 5.2
Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is
X + 0.2x.
Vhich expression is equivalent and why?
A. 1.02x, because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
B. x(0.2), because the cost of the haircut can be factored out.
O C. 1.2x, because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x, because adding $20 to the haircut is the same as multiplying
the cost by 1.2
Answer:
C. 1.2x
Step-by-step explanation:
He pays 1 x for his haircut, and an additional 20% on top of that, or an additional 0.2x. If you write that as an expression, you can simplify it like this:
[tex]1x+0.2x\\1.2x[/tex]
You can also work it out by multiplying by 1.2 as stated in answer C. If his haircut costs $10, adding a 20% tip of $2 is the same as multiplying by 1.2.
[tex]10\times1.2=12[/tex]
Please help me
if v=6, w=-9, and x=7
Answer:
im sorry but r u even trying..... bc i just answer one of ur questions
Step-by-step explanation:
Find the m, b, and write the equation for the following graph:
Answer:
y = 3, m=0, b=3
Step-by-step explanation:
Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.
I hope this helps!
how do you estimate the car
Answer:
The car value is 9100
Step-by-step explanation:
you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.
hope that helps!
Help I give brainly
The acute angles of a right triangle measure (48 - x) and (3x – 10). What is the value of x?
Answer:
[tex]\huge\boxed{\sf x = 26}[/tex]
Step-by-step explanation:
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
Step-by-step explanation:
x=26
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
Hope this helped!