If y varies inversely as x and y = 8 when x = 9, find x when y = 12.

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

An inverse variation is

xy = k where k is the constant of variation

8*9 = k

72 = k

xy = k

Let y = 12

x*12 = 72

Divide each side by 12

12x/12 =72/12

x = 6


Related Questions

What is the slope of the line parallel to y= 5x+2.

A. -1/5
B. -5
C. 5
D. 1/5

Answers

The slope of a line parallel to y= 5x + 2

This is because a parallel line will have the same slope as the line it’s trying to be parallel to. In this case, 5 :)

Explain the closure property as it relates to addition of polynomials. GIVE AN EXAMPLE PLEASE ASAP

Answers

9514 1404 393

Explanation:

The closure property for any operation and set says that performing the operation on members of the set will result in a member of the set.

The closure property for addition of polynomials says that the addition of any polynomials will result in a polynomial.

Examples:

1)  1 and x are polynomials, as is their sum: 1+x.

2) x^3 -5 and x+5 are polynomials, as is their sum: (x^3 -5) +(x+5) = x^3 -x.

Use Heron’s Formula, that is, the area of a triangle is , where the triangle contains sides a, b and c and to find the area of the triangle with side lengths: .a=7/2 b=4/3 c=9/4

Answers

Answer:

Area: T = 0.649

Step-by-step explanation:

Sides: a = 3.5   b = 1.333   c = 2.25

I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number

Answers

Answer:

around 30.

Step-by-step explanation:

just divide 8564 by 287 to get the answer :)

brainliest pls

Help!!! multiple choice!

Answers

5.C

6.A

Hope this helps and is correct

what is the circumference of a circle with the radius of 7 units

Answers

Answer:

43.98

Step-by-step explanation:

Caroline’s cube has an edge that
measures 2 centimeters. Dimitri’s
cube has an edge that measures
4 centimeters. If Caroline’s cube
was stacked on top of Dimitri’s
cube, what would be the total
volume of the combined solid?

Answers

Answer:

24cm

Step-by-step explanation:

Volume: LxWxH

2cm+ 4cm= 6cm (which is the height)

L= 2

W=2

H=6

2x2x6

24cm

You invest $2,000 into a savings account that gets 5% interest compounded yearly. How much money will you have after 7 years?

A.
$14,713.23

B.
$2,814.20

C.
$54,112.88

D.
$3,286.33

Answers

Answer:B

Step-by-step explanation:

$2000×1.05^7=$2814.20

Answer:

B

Step-by-step explanation:

P = $ 2000

r =5% = 0.05

t = 7 years

[tex]Amount=P*(1+\frac{r}{100}})^{t}\\\\=2000*(1+0.05)^{7}\\\\=2000*(1.05)^{7}\\\\=2000*1.4071\\\\[/tex]

= $ 2814.20

Solve the following:

A) a/5+3=8
B) 3b/7-1=5

Answers

Answer:

A)25

B) 14

Step-by-step explanation:

A) a/5 + 3 = 8

    a/5 = 8 - 3

    a = 5 x 5

    a = 25

B)  3b/7 -1 =5

     3b/7 = 5+1

     3b = 6 x 7

      b = 42/3

      b = 14

can you please help me fill this out thanks

Answers

Answer: [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45 45 90 triangle the two sides are 1 wile the hypothenuse is [tex]\sqrt{2}[/tex]

Jarry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all. Which equation can be use to find m, the number of marbles still needed to fill the jar?

Answers

Answer:

1000-273=M

Step-by-step explanation:

Jarry has 273 and needs 1000 so take the number he needs by the marbles he has to find the marbles he needs to fill the jar. Hope this helped

The required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

Jarry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all.

Let the number of marbles that are still to be filled by M
And the equation is given as,
M = 1000 - 273

Thus, the required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

Learn more about models here:

brainly.com/question/22591166

#SPJ5

If a population of a certain type of animal has a mean of 44cm and a standard deviation of 3 cm what is the z-score for a member of the population witha height of 38cm

Answers

Answer:

The z-score is -2

Step-by-step explanation:

Here, we are asked to calculate the z-score of the height.

Mathematically, we can calculate z-score by using the formula below;

z-score = (x-mean)/SD

According to this question, mean = 44cm and SD = 3cm with x here = 38cm

Plugging these values into the z-score equation, we have

z-score = (38-44)/3 = -6/3 = -2

Please show work, and i will mark brainliest to first correct answer

Answers

Answer:

The volume of Prism will be "189888 inches".

Step-by-step explanation:

L = 43in.

W = 92in.

H = 4ft.

Convert ft. into in.

4 x 12

H=48in.

Volume or V = BH

and

B= L X W

B = 43 X 92

B = 3956 in.

then,

Volume = 3956 x 48 inches

Volume = 189888 inches

Shape of distribution

Answers

Answer:

where is the picture so i can help you

What is the equation of a line with a slope of 6 and y intercept of -2

Answers

Answer:

6x-y=2 is the equation

Step-by-step explanation:

The formula is y= mx+c where m= slope and c = y-intercept

so replacing their values,

y = 6x -2

y+2= 6x

6x-y = 2 is the required equation.

Answer:

y=6x-2

Step-by-step explanation:

Answer: to write an equation it has to be y=mx+b

The slope is 6, so you substitute the 6 in for the m. M is always the slope.

You also keep the x there.

The y intercept, also know as b, is -2 so you substitute that in for b.

Then you get the equation on the line.

y=6x-2!

Hope this helps. :)

Emter 2/2/8 as an inpropper fraction

Answers

Answer:

The answer is 9/4

Step-by-step explanation:

Worth 15 points please help.
There are 100 prize tickets in a bowl, number 1 to 100. What is the probability that an even numbered prize ticket will be chosen at random, not replaced, then an odd numbered prize will be chosen? Does this represent an independent or dependent event? Explain.

Answers

Answer:

Step-by-step explanation:

no. even number = 50

no. odd number = 50

P (even ) = 50/ 100= 1/2

P(odd after take 1 even) = 50/99

Dependent event cause the first P affects the second P ( affect the total number of selection)

-2 1/3 - (-5) =??????

Answers

Answer:

-21/3+5=-7+5=-2

Step-by-step explanation:

Answer:

2.6 im pretty sure lol

Step-by-step explanation:

What is the surface area of the square pyramid?

Answers

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]

[tex]5625+150\cdot \sqrt{9506.25}=[/tex]

[tex]5625+14625=[/tex]

[tex]20,250[/tex]  square yards, or answer choice D.

Hope this helps!

please help immediately very confused

Answers

Answer:

4.5

Step-by-step explanation:

162/360=0.45

0.45*10=4.5

Answer:

4.5units

Step-by-step explanation:

arc length's formula:2πr(∆/360)

remember, 2πr: circumference of a circle:

10units according to diagram.

∆=162°

using formula, 10(162°/360)

10*162/360 : 162/36

:4.5 units.

What is the distance between the points (3, 7) and (15, 16) on a coordinate
plane?
A. 13 units
B. 21 units
C. 17 units
D. 15 units

Answers

Answer:15

Step-by-step explanation:

Because you do the distance equation

1 ½ miles in ¾ hour
find the unit rate

Answers

Answer:

Unit rate = 2 mph

Step-by-step explanation:

Distance travelled = 1½ miles = [tex] \frac{3}{2} [/tex] miles

Time taken = ¾ hours

[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{3}{2} }{ \frac{3}{4} }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{2} \times \frac{4}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \: mph (miles \: per \: hour)[/tex]

A plane slices through the axis of a right circular cone with a height of 4 feet and a radius of 3 feet, as shown below. What is the perimeter of the intersection of the plane and the cone?

Answers

Answer: 37.64

Step-by-step explanation:

Given data:

Height of the cone = 4feet

Radius of the cone = 3feet

Therefore:

Perimeter of a cone = 1/3 * π * r*h

= 1/3 * 22/7 * 3² * 4

= 0.333 * 3.14 * 9 * 4

= 37.64 feet

The perimeter of the The cone and plane is 37.64feet

I etavidewifdwcvefoewf

Answers

I’m not sure what that meant.

Answer:

cool

Step-by-step explanation:

A sphere with a radius of 11 in

Answers

Answer:

-The volume of a sphere:

[tex]V \approx 5575.279[/tex] [tex]in ^3[/tex]

     or

[tex]V \approx 5575.28[/tex] [tex]in^3[/tex] (Rounded to the nearest hundredth if needed)

Step-by-step explanation:

-Use the formula for the volume of a sphere and use the radius [tex]11[/tex] [tex]in[/tex] for that formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

[tex]V = \frac{4}{3} \pi 11^3[/tex]

-Then, you solve the formula:

[tex]V = \frac{4}{3} \pi 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 1331[/tex]

[tex]V = \frac{4}{3} \pi \times 1331[/tex]

[tex]V = \frac{5324}{3} \pi \approx 5575.279[/tex]

-Round up to the nearest hundredth (if needed):

[tex]V \approx 5575.28[/tex]


Which shape is not necessarily a parallelogram?
A) quadrilateral
B) rectangle
C) rhombus
D) square

Answers

Answer:

A) Quadrilaterals

Step-by-step explanation:

All squares, rectangles, and rhombuses are parallelograms because their sides are parallel. However, quadrilaterals have four sides, but not all will be parallel.

The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.


An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base.


The top base extends 8 units to the right of the bottom base. What is the volume of the prism?

Answers

Answer:

Volume of the prism = 1950unit³ (C)

Step-by-step explanation:

The question is incomplete without the diagram of the oblique prism and its dimension.

Find attached the diagram used in solving the question.

The prism has a rectangular base:

width= 10 units

length = 13 units

The distance between the top and the bottom base = 17 units.

Volume of prism = Area of base × height

Area of base = area of rectangle = Length ×width

= 13× 10

Area of base = 130unit²

To get the height, we would apply Pythagoras theorem

Hypotenuse² = opposite² + adjacent ²

17² = h² + 8²

289 = h² + 64

h² = 289-64 = 225

h = √225

h = 15unit

Volume of the prism = 130 × 15

Volume of the prism = 1950unit³ = 1950 cubic units

Answer:

The answer is C which is 1950 on EDGE

Step-by-step explanation:

Does the following equation represent growth or decay y=4^x

Answers

Answer:

The equation represents exponential growth

Step-by-step explanation:

Since the equation is a positive exponential equation

The diagram shows a block of modelling clay.

The density of the modelling clay is 1.25g/cm^3.

What is the mass of the block of clay?

50 POINTS! PLEASE HELP ASAP!

Answers

Complete question

The diagram show a block of modelling clay 12cm 6cm and 2cm.

The density of the modelling clay is 1.25g/cm3. What is the mass of the block of clay?

Answer:

The mass of the block is 180g

Step-by-step explanation:

Given

Density = 1.25 g/cm³

Required

Mass of the block

Eben though the diagram of the block is missing, the question can still be solved.

First, the volume needs to be calculated.

Volume = lengy * breadth * height

Volume = 12 *,6 * 2

Volume = 144cm³

Now we have Volume and density.

The relationship between these two is as follows;

Density = mass/volume

Substitute for density and volume.

1.25 = mass/144

Multiply 144 to both sides

144 * 1.25 = mass/144 * 144

180 = Mass

Mass = 180

Hence, the mass of the block is 180g

find the volume of the cylinder

Answers

Answer: 502.4 cubed

Step-by-step explanation:

3.14x10x(4 squared)=160x3.14

502.4 (cubed)

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