If x+y=8 , 1/x+1/y=1/2 then xy=?

Answers

Answer 1

Answer:

xy = 16

Step-by-step explanation:

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 2xy to clear the fractions )

2y + 2x = xy ← factor out 2 from each term on the left side

2(y + x) = xy

substitute x + y = 8 into the left side

2(8) = xy , that is

xy = 16


Related Questions

1 1/4 x 3/4 as a fraction

Answers

Answer:

2 and 1/16th! ^^

Step-by-step explanation:

Answer:15/16

Step-by-step explanation:

1 1/4×3?4

= 5/4×3/4

= 5 × 3/4 × 4

= 15/16

Which inequality represents the sentence below? the difference of a number and one and four tenths is more than nine and seventy-eight hundredths. p minus 1.4 greater-than 9.78 p minus 1.4 less-than 9.78 1.4 minus p greater-than 9.78 1.4 minus p less-than 9.78

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

100 on edge test

calculate the Highest common factor of 130,260,390​

Answers

the Highest common factor of 130,260,390 = 130

130 = 2⋅5⋅13

260 = 2⋅2⋅5⋅13

390 = 2⋅3⋅5⋅13

Common multipliers (130; 260; 390): 2, 5, 13

Now to find the highest Common factor you need to multiply the common factors

Answer: (130 ; 260 ; 390) = 2 ∙ 5 ∙ 13 = 130

Answer:

130

Step-by-step explanation:

130 = 2x5x13

260 = 2x2x5x13

390 = 2x3x5x13

common factors = 2, 5, 13

therefore, 2x5x13 = 130

Cheers!

A square garden is expanded to a rectangle in which the width is 1.5 times the original side length and the length is 3.5 times the original side length. The area of the expanded garden can be modeled by the expression (1.5s)(3.5s).

Simplify the expression (1.5s)(3.5s).

5s
5s2
5.25s2
5.25s

Answers

Answer:

Step-by-step explanation:

To simplify, we multiply the like terms, which are the constant, and the s. For the constants of 1.5, and 3.5, we just do 1.5x3.5 to get 5.25, and when we multiply both s's together, we get [tex]s^2[/tex]. adding those 2 together, we get 5.25[tex]s^2[/tex]. so it would be the third one down.

please rate and mark as brainlest.

Answer:

C 5.25s2

Step-by-step explanation:

I just need to say this.. Every time I look something up for the answer on google it leads me to an incorrect answer but when I look up something on Brainly somebody tells me the CORRECT answer. I'm telling you, People on brainly who answer on here are smarter than google. Keep up the good work people.

Answers

Answer:

Thank you!

Step-by-step explanation:

are the lines y=-5 and y=3 parallel

Answers

Answer:

yes

Step-by-step explanation:

because both of them are horizontal straight lines

57+16 is the same as 60+

Answers

Answer:

57+16 is the same as 60+13

Answer:

57+16 is the same as 60+13

Step-by-step explanation:

Please answer 50 points

Answers

Answer: I'm not sure but i think is 21

Answer:

The answers are number 1, 3 and 4

Step-by-step explanation:

I need help with this please because I don’t know how to do it and I never learned it before.

Answers

Answer:

3ft to 1ft

Step-by-step explanation:

24/8=3 and 8/8=1

Terri and Kay are stocking cereal boxes in a middle aisle for a store display.

Together, they stocked 60 cereal boxes on the display. Kay stocked 8 more than of the 1/3 boxes that Terri
stocked. Which system of equations can be used to determine the number of cereal boxes Terri stocked
and the number of cereal boxes Kay stocked for the store display?
Let x represent the number of boxes Terri stocked and y represent the number of boxes Kay stocked.

Answers

Answer:

x = 26

y = 34

Step-by-step explanation:

Let the boxes stocked by Terri = x

Therefore the boxes stocked by Kay = x + 8 because he stocked 8 more boxes

Hence since they both stocked 60 boxes

x+x+8 = 60

2x = 60 - 8

2x = 52

divide both sides by 2

x = 26

Terri stocked 26 boxes and Kay stocked 26+8 boxes = 34 boxes

Is a triangle with sides 7meters, 6 meters, and 9 meters a right triangle? Explain.

Answers

7^2 + 6^2 [ ] 9^2
49 + 36 [ ] 81
85 [ > ] 81
No, it is not a right triangle

Captain Perguin bought 150 crackers for his
pet parrot. He ate 10% of them himself. How
many crackers did Captain Perguin eat?

Answers

Answer:

15

Step-by-step explanation:

Percentages represent a proportion of a number. This means that a percentage represents part of a whole.

In this question, Captain Perguin ate 10% of 150 crackers. There are 2 ways to solve this problem explained below.

Multiplication

One way to find a percentage is through multiplication.

First, convert the percentage into a decimal. Do this by moving the decimal point 2 places to the left. This means that 10% becomes 0.1Next, multiply this decimal by the whole number. Then, multiply [tex]150*0.1=15[/tex].This means that Captain Perguin ate 15 crackers.

Shortcut

Multiplication is not the only way to find the answer. This question is special because it asks for 10%. Instead of multiplication, you could simply move the decimal point of the original number 1 digit to the left. This means that 10% of 150 must be 15. Remember this trick does not work for percentages other than 10%.

Find the measure of angle A.



Question options:

12 degrees


40 degrees


61 degrees


79 degrees

Answers

Answer:

40 degrees

Step-by-step explanation:

x= -12

52+(-12)= 40

since all angles are the exact same opposite the angle a would also be 40 degrees.

See image below the post

Answers

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

[tex]\boxed{x = -17}[/tex]

✽ Simplify both sides of the equation.

[tex]\frac{x+2}{5}-\frac{x+1}{4}=1[/tex]

[tex]\frac{1}{5}x + \frac{2}{5} + \frac{-1}{4} = 1[/tex] (Distribute)

[tex](\frac{1}{5}x + \frac{-1}{4} ) + (\frac{2}{5} + \frac{-1}{4}) = 1[/tex] (Combine Like Terms)

[tex]\frac{-1}{20}x + \frac{3}{20} = 1[/tex]

✽ Subtract 3/20 from both sides.

[tex]\frac{-1}{20}x + \frac{3}{30} - \frac{3}{20} = 1 - \frac{3}{20}[/tex]

[tex]\frac{-1}{20}x = \frac{17}{20}[/tex]

✽ Multiply both sides by 20/(-1).

[tex]( \frac{20}{-1}) * (\frac{-1}{20}x) = (\frac{20}{-1}) * (\frac{17}{20})[/tex]

Hence, x = -17

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer fast pls
(6m² -13m +5) / (2m-1)
Factor this polynomial

Answers

Answer:

(2m - 1)(3m - 5)

Find the 2nd, 3rd and 4th term of the geometric sequence
4.5,_,_,_,364.5

Answers

Step-by-step explanation: This is a geometric progression, so apply the formula:

[tex]ar^{n-1}[/tex], where a = first term in the sequence

r = common ratio

n = position of term

So first find r, which is the common ratio, and after that just substitute the numbers into the equation. n is the only thing that changes.

Refer to the picture for solving

(brainiest please :) )

PLEASE HELP ASAP! I AM TIMED!
How will the area of a square change if its side becomes twice as long; 3 times as long; 10 times as long; n times as long?

Answers

Answer:

4, 9, 100, n^2

Step-by-step explanation:

Its very simple, all you have to do is find the number to the power of two because its a square.

What is this I need help ASAP plsssssssssssssssssssssss

Answers

Answer:

6 14/15

Step-by-step explanation:

change to improper fraction

change to common denominator

solve parentheses

subtract

Solve equation with fractions. 1/4h=6 what does h equal

Answers

Answer:

24

Step-by-step explanation:

[tex]\frac{1}{4}h=6[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]

[tex]4\cdot \frac{1}{4}h=6\cdot \:4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]h=24[/tex]

Hence, h = 24

~Learn with Lenvy~

Answer:

24

Step-by-step explanation:

*Combine multiplied terms into a single fraction

1/4h=6 → 1h/4=6

*Multiply by 1

1h/4=6 → h/4=6

*Multiply all terms by the same value to eliminate fraction denominators

h/4=6

4×h/4=4×6

*Multiply the numbers

h=4×6

=24

In this activity, you will create an image and an equation to model a situation
and then solve the equation.
Roger and his friends conducted a clean-up drive at their school. They formed
three teams, Team A, Team B, and Team C, and they collected 12 pounds of
trash in all. Team B collected 3 pounds of trash, and Team C collected 5 pounds
of trash.

The pan balance represents equality. Draw shapes on both sides of the
balance scale to represent the situation. Use a sphere to represent each
pound of known trash and a cube to represent the total weight of the
unknown trash.​

Answers

Answer: For the first scale, u would put a cube and 8 spheres. For the second, u would put the total which is 12 so 12 spheres.

Step-by-step explanation:

The trash collected by all the three teams is shown by the 8 spheres and a box on one side of the scale. Since the weight was 12 pounds, it can be shown as 12 spheres on the other side of the scale

Im pretty sure this is right, Enjoy!

A 34.5
B 43.3
C 50
D 61.2

Answers

Answer: B

Step-by-step explanation:

If you are buying at item at a store for a price of $41, and there is a 7.3% tax added on top, what would be the total amount due at the register, to the nearest cent?

Answers

Answer:44$

Step-by-step explanation:

7.3% of 41 is 2.993

add that to 41 and u get 43.993

round up and u get 44$

$43.99

7.3% in decimal form is 0.073, you would just take the number and divide by 100.
Multiply that by 41 to get the tax amount, which is 2.993
Add the two together to get the total amount, then round to the nearest cent, which is in the hundredth place

In the diagram, QS | UT ,RS = 4 , ST = 6 , and QU = 9 What is the length of RQ ?

RQ=

Answers

Answer:

QR=6

Step-by-step explanation:

Divide 6 by 4 equal 1.5

So you need to divide 9 by 1.5 which is equal to 6

So RQ=6

Circle a has a radius of 17 inches. what is the circumference of circle a?

Answers

Answer:

106,81 inch ..............

Answer= 32*pi/100.530965
The formulae for the circumference is 2*pi*r
Meaning 2 X 17 which is 32 and 32 X pi is 32*pi

When designing a new school cafeteria, the school administrators planned for there to be twice as many tables in each row as there are rows. After increasing the size of the cafeteria, it was decided to add 3 more rows of tables and to increase the original number of tables in each row by 2. The maximum number of tables the cafeteria can hold is 126.

If r represents the original number of rows the school administrators planned to have in the cafeteria, which of the following represents this situation?

A.
2r2 + 7r + 6 ≤ 126
B.
2r2 + 8r + 6 ≥ 126
C.
2r2 + 7r + 6 ≥ 126
D.
2r2 + 8r + 6 ≤ 126

Answers

Answer:

D.

Step-by-step explanation:

i belive it will be that baded on the fact it said twice as many rows.

Given f (x) = 5(2 - x), what is the value of f (-4)?

Answers

Answer:

f(- 4) = 30

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x), that is

f(- 4) = 5(2 - (- 4)) = 5(2 + 4) = 5(6) = 30

Graph y = x + 4
PLEASE HURRY!!!

Answers

Answer:

Step-by-step explanation:

A worker earns $9 per hour and works 25 hours each week. If the worker receives a 3% pay increase, how much additional pay will the worker earn each week?

the answer choices:
1)$2.70
2)$6.75
3)$9.27
4)$10.20

Answers

Answer:

$6.75

Step-by-step explanation:

25 hours times $9= $225/week

3% increase from $9.00= $0.27

$9.27 times 25 hours= $231.75

$231.75-$225= $6.75 more per week

A bag contains some white and black balls . The probability of picking two white balls one after other without replacement from that bag is 14/33. Then what will be the probability of picking two black balls from that bag if bag can hold maximum 15 balls only?

Answers

Answer:

2/35

Step-by-step explanation:

Let w and b be the numbers of white and black balls in the bag respectively.

So, the total numbers of the balls in the bag is

[tex]n=w+b\;\cdots(i)[/tex]

As the bag can hold maximum 15 balls only, so

[tex]n\leq15 \;\cdots(ii)[/tex]

Probability of picking two white balls one after other without replacement

=Probability of the first ball to be white and the probability of second ball to be white

=(Probability of picking first white balls) x( Probability of picking 2nd white ball)

Here, the probability of picking the first white ball [tex]=\frac{w}{n}[/tex]

After picking the first ball, the remaining

white ball in the bag [tex]= w-1[/tex]

and the remaining total balls in the bag [tex]=n-1[/tex]

So, the probability of picking the second white ball [tex]=\frac{w-1}{n-1}[/tex]

Given that, the probability of picking two white balls one after other without replacement is  14/33.

[tex]\Rightarrow \frac{w}{n} \times \frac{w-1}{n-1}=\frac{14}{33}[/tex]

[tex]\Rightarrow \frac{w(w-1)}{n(n-1)} =\frac{14}{33}[/tex]

Here, [tex]w[/tex] and [tex]n[/tex] are counting numbers (integers) and 14 and 33 are co-primes.

Let, [tex]\alpha[/tex] be the common factor of the numbers [tex]w(w-1)[/tex] (numerator) and [tex]n(n-1)[/tex] (denominator), so

[tex]\frac{w(w-1)}{n(n-1)} =\frac{14\alpha}{33\alpha}[/tex]

[tex]\Rightarrow w(w-1)=14\alpha\cdots(iii)[/tex]

And [tex]n(n-1)=33\alpha.[/tex]

As from eq. (ii), [tex]n\leq 15[/tex], so, the possible value of [tex]\alpha[/tex] for which multiplication od two consecutive positive integers (n and n-1) is [tex]33\alpha[/tex] is 4.

[tex]n(n-1)=11\times (3\alpha)[/tex]

[tex]\Rightarrow n(n-1)=12\times11[/tex] [as [tex]\alpha=4[/tex]]

[tex]\Rightarrow n=12[/tex]

So, the number of total balls =12

From equation (iv)

[tex]w(w-1)=7\times (2\alpha)[/tex]

[tex]\Rightarrow w(w-1)=8\times7[/tex]

[tex]\Rightarrow w=8[/tex]

So, the number of white balls =8

From equations (i), the number of black balls =12-8=4

In the similar way, the required probability of picking two black balls one after other in the same way (i.e without replacement) is

[tex]=\frac{b}{n} \times \frac{b-1}{n-1}[/tex]

[tex]= \frac{4}{15} \times \frac{4-1}{15-1}[/tex]

[tex]= \frac{4}{15} \times \frac{3}{14}[/tex]

[tex]= \frac{2}{35}[/tex]

probability of picking two black balls one after other without replacement is 2/35.

Suzie babysits for $6 per hour. She also works as a housecleaner for $9 per hour. She is only allowed to work 15 hours per week. She wants to make at least $95 per week. If we call babysitting, x, and housecleaning, y, which of the solutions would fit this scenario?

Answers

Answer:

x+y≤15

6x+9y≥95

Step-by-step explanation:

Let x be the hours worked for babysitting and let y be the hours worked for house cleaning.

As Suzie babysits for $6 per hour. She also works as a house cleaner for $9 per hour.

Total hours she can work= 15 hours per week.

Hence,

x + y is less than or equals to 15

But since she wants to make at least $95 per week. It implies that,

6x + 9y is greater than or equal to 95

So from the statements above, the equations will be:

x+y≤15

6x+9y≥95

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