1 The geometric mean of two positive integers a and b is 27 Find all possible
values of a and b

Answers

Answer 1

Answer:

    (a, b) ∈ {(1, 729), (3, 243), (9, 81), (27, 27), (81, 9), (243, 3) (729, 1)}

Step-by-step explanation:

[tex]\sqrt{a\cdot b}=27\\\\(\sqrt{a\cdot b})^2=27^2\\\\a\cdot b=729\\\\\\729=27\cdot27=9\cdot81=3\cdot243=1\cdot729[/tex]

So:

(a, b)∈{(1, 729), (3, 243), (9, 81), (27, 27), (81, 9), (243, 3) (729, 1)}


Related Questions

The diagram shows two overlapping rectangles, each measuring p by q . The area of overlap is exactly one-quarter of the total area of the figure. What is the ratio p : q ?

Answers

Answer: 5:2

cos i said so

Answer:

The answer is 5:2

Step-by-step explanation:

I have a degree in mathematics

1. What is the volume of the cylinder below? Round
to the nearest tenth.
10 in.
30 in.

Answers

What are you rounding to?

I NEED HELP PLZ AND FAST THANK YOU!!

Answers

First box is 14 under 28 is 7 under 42 is 10.5 on top of 1,208 is 30.2 under 120.8 is 4,832 and under 15.1 is 604

Hope I am not to late please hit thanks if you get it right !

Step-by-step explanation:

1) take your known ratio (56/14) and divide to find the factor between the numbers so 56 /14 = 4.  4 is your ratio factor

then working backwards:  

42/ 4 = 10.5

28/4 = 7

3.5 * 4 = 14  It can also be seen as what number divided by 4 will give you 3.5

2)  2,416/ 60.4 is the known ratio now so divide to find the factor between the numbers. So 2,416/ 60.4 = 40. 40 is your ratio factor

120.8 * 40 = 4832

1208/40 = 30.2

15.1 * 40 = 604

Use the distributive property to remove the parentheses

-4 (3u-2w-4) Pls help!

Answers

Answer:

-12u+8w+16

Step-by-step explanation:

to get rid of the parenthesis you multiply everything that is inside of the parenthesis by -4

-4x3u=-12u

-4x-2w=8w

-4x-4=16

then we just add everything together and end with

-12u+8w+16

hope this helps (;


The expression c +0.08c can be used to find the total cost of an item with 8% sales tax.
Use the expression to find the total cost of an item that costs $20.
A
$36.00
B
$1.60
c
$16.00
D
$21.60

Answers

Answer:

its d

Step-by-step explanation:

8% of 20 is 1.6 so 20 + 1.6

A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?

Answers

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = [tex]\frac{1}{4}[/tex]×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ [tex]\frac{1}{4}[/tex]×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

⇒ y + 4x - y - x = 2.4

⇒3x = 2.4

⇒x = [tex]\frac{2.4}{3}[/tex] = 0.8 kg

and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg

∴ we get

Weight of empty bottle = x = 0.8 kg

Weight of water = y = 1.6 kg

simplify –4(5x) plz (don't mind this)

Answers

Answer:

-20x

Step-by-step explanation:

remove parentheses: -4*5x

multiply the numbers: -4*5x

answer: -20x

loll pls help i have 5 more of these srry :(

Answers

[tex]tan = \frac{opp}{adj} = \frac{x}{24} [/tex]

[tex] \tan(62) = \frac{x}{24} [/tex]

[tex]x = 24 \tan(62) [/tex]

[tex]x = 45.1374351683[/tex]

[tex]x = 45.14[/tex]

Find the perimeter and area of the parallelogram shown below

Answers

Answer:

The perimeter of the rhombus is 218. And I think the area is 4320. Wait for more responses to be sure also for the trapezoid I used 54 as my base added them two times then multiplied it by 55 I didn't know if I had to do multiply it by 50 so after I multiplied it by 55 then divided it by two and added it to the area of the triangle in the figure. I'm not sure if I make sense but I know for sure the perimeter is 218.

Step-by-step explanation:

The area and the perimeter of the parallelogram is 2700 in² and 218 in.

What is a parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Given that, a parallelogram has sides 55 in and 54 in with height 50 in.

Area = base x height = 50 x 54 = 2700 in²

Perimeter = 2(length + width) = 2(55+54) = 218 in

Hence, the area and the perimeter of the parallelogram is 2700 in² and 218 in.

Learn more about parallelogram, click;

https://brainly.com/question/29147156

#SPJ2

Change 9 1/3 to an improper fraction

Answers

Answer:

10/3

Step-by-step explanation:

Answer:

28/3

Step-by-step explanation:

What is the y-intercept on the equation:
y = 5x + 8

Answers

Answer:

y=8

Step-by-step explanation:

Identify an equation in point slope form for the line perpendicular to
y = -4x - 1 that passes through (-2,7).

Answers

Point slope form is y2-y1=m(x2-x1).

The slope m that is perpendicular to y=-4x-1 will be 1/4 (the opposite reciprocal). Then you can use (-2,7) as the x and y values to plug into the formula:

y-7=1/4(x+2) is the answer.

simplify -26+7r-15p-7p

Answers

Answer:

-26+7r-22p

Step-by-step explanation:

Answer:

Step-by-step explanation:

subtract  7 p  from  − 15 p .

26 + 7 r − 22 p

HELP ASAP
0.6 x 0.8 =

Answers

The answer is 0.48 because you just multiply the two numbers.

PLSS HELP MEEEEE ASAP​

Answers

Answer:

f(b) = 2b - 32/3

The ratio of minutes to gallons of water flowing through a garden hose is 2 to 12 carlota says that an equivalent ratio of minutes to gallons is 6 to 1 is Carlota correct

Answers

Answer:

Carlota is not correct

Step-by-step explanation:

A ratio represents relationship between of two or more things.

Ratio of minutes to gallons of water flowing through a garden hose [tex]=2:12[/tex]

Here,

[tex]2:12=1:6[/tex]

Also,

It's given that an equivalent ratio of minutes to gallons is [tex]6:1[/tex]

Now,

[tex]1:6\neq 6:1[/tex]

Therefore,

Carlota is not correct

1) Which value is a solution of the inequality Ży > 8?
1
8
16
24
32

Answers

Answer:

32

Step-by-step explanation:

1/4y is greater than or equal to 8.

Plug 32 in the y place.

1/4(32) is greater than or equal to 8.

8 is greater than or equal to 8. Since the inequality sign has the equal sign too, this makes the sentence true. Hope this helps, thank you !!

PLEASE I NEED HELP!!! the length of the living room is 12 feet and its width is 10 and 1/2 feet . The length of the room is being expended by X feet choose an expression to represent the new area of the living room in square feet and the expanded form of the expression select all that apply
A 10.5(12x) square feet
B (10.5+12+×) square feet
C 10.5(12+x) square feet
D 126x square feet
E (126+10.5x) square feet
F (22.5 + x) square feet​

Answers

Answer:

Step-by-step explanation:

D.126x square feet i hope this helps and tell me if i’m wrong and if i am then sorry

Right answer gets brainlist

Answers

Answer:

455

Step-by-step explanation:

7x5x13= 455. all you needed to do was multiply. i hope this help!

The coordinates of the point F are (-2,-8) and the coordinates of point G are (10,-8). What is the distance, in units, between the point F and point G?

Please help me! Thanks!

Answers

Answer:

12 units

Step-by-step explanation:

notice that the y coordinate (-8) is the same for both points. you can ignore it and just look at the x coordinates. To calculate the distance, you use point a minus point b, so in this case it is 10-(-2). two negatives make positive, so the answer is 12 units.

51=3k

but what is k?

tysm for everyone helping me:)

Answers

Answer:

17

Step-by-step explanation:

51÷3 = 17

k=17

not sure what else to add but my answer had to be longer

The quotient of ten times a number and 7

Answers

Answer:

[tex]\frac{10x}{7}[/tex]

Step-by-step explanation:

The quotient is the answer of a division problem. So, we get

[tex]\frac{10x}{7}[/tex]

Multiply!!
please helps thanks

Answers

Answer:

9/4

Step-by-step explanation:

you can use photomath for questions like these :P

Answer:

2 1/4

Step-by-step explanation:

3/4 x 3 = 9/4 = 2 1/4

Hope that helps!

BMI
weight 1.62 (5'4")
height 46 kg (102 Ibs)

Answers

Answer:

158iuhudjdkdidiidjdjfjuf


(-9,-6) and (-2,-8)
Slope =

Answers

The formula is rise over one.

⚠️Plz help!⚠️

At 8:00 AM, the temperature was −6°F. By noon, the temperature had risen by 9°F. What was the temperature at noon?

Answers

Answer:

3 degrees.

Step-by-step explanation:

-6 + 9 is 3, giving you were answer.

Answer: 3 degrees F

Step-by-step explanation:

-6+9=3

rise=positive or +

Isaac Newton’s Theory of Gravitation proved that gravity behaves as a rational function, which
can be modeled as:
g = μ/r^2
Where g is the strength of gravity in m/s^2, μ is the “standard gravitational parameter,” which is
3.986*10^14 for Earth, and r is the radial distance from the center of the planet measured in
meters. Earth has a radius of 6378 km.

Answers

Answer:

Step-by-step explanation:

whats the question

Answer:

wheres the question?? huhh

I need help fast! What is the square root of 9x^12? And 18x^7? And 25x^18 y^14? And 50x^9 y^19? Sorry I know it's a lot but I need it quick!

Answers

Answer:

Answer:

The principal, real, root of:

9–√2

=3

All roots:

3

−3

9 is a perfect square

Answer:

The principal, real, root of:

25−−√2

=5

All roots:

5

−5

25 is a perfect square

Step-by-step explanation:

the first one is for the 9 and the second one is for the 50

I need help ASAP plzz

Answers

Answer:

oh i is this 6th grade math im in 5th sorry

Step-by-step explanation:

Answer:

ROC=4

Step-by-step explanation:

ROC=change in y/change in x

=ROC=8/2=4

Find the slope of the line passing through points (-1, -7) and (-9, -2).

Answers

Answer:

-5/8

Step-by-step explanation:

The line goes down 5 for every 8 spaces to the right.

Answer: -5/8 is the slope or m

Step-by-step explanation:that is an algebra calculator that can help you :)

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