If y varies inversely with x
and y is 10 when x is 5,
then what is y when x is 2?

Answers

Answer 1

9514 1404 393

Answer:

  25

Step-by-step explanation:

Inverse variation means ...

  y = k/x

For the given values, we can find k to be ...

  k = xy = (5)(10) = 50

Then for x=2, we have ...

  y = 50/x

  y = 50/2

  y = 25 . . . when x=2


Related Questions

Which statement describes the definition of a function?

Answers

Answer:

an activity or purpose natural to or intended for a person or thing.

Step-by-step explanation:

: >

The function definition is given below..

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function is a relation that has an input and an output.

All the possible outputs are called codomains.

The inputs are called the domains.

The outputs are called the range.

A function can be many-to-one but not one-to-many.

Example:

f(x) = x²

For x = 1 and x = -1

f(x) = (1)² = 1 and f(x) = (-1)² = 1

This is many to one.

Thus,

The function definition is given above.

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Convert these improper fractions into mixed numbers.
5/4

Answers

Answer:

1 1/4

Step-by-step explanation:

4/4 + 1/4 = 5/4

4/4 = 1

so 1 1/4

Answer: 1  1/4

Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify.  then when that down we need to calculate the greatest common factor.

help!! will mark brainliest

use the following coordinate plane to write the ordered pair for each point.

Answers

Answer:

A (-2.5,0)

b(3,3)

c(1,-4)

Step-by-step explanation:

Plsss help!!!

Evaluate for C when F =77º

C = 5/9 (F – 32)

A. 25
B. 45
C. 60
D. 80

Answers

Answer:

A. 25°C

Step-by-step explanation:

C=5/9(77-32)

C=5/9(45)

C=25°C

Convert 77 °F to °C

To convert from Celsius to Fahrenheit. We apply the following formula:

[tex]\bf{^{\circ}C= \dfrac{5}{9}(^{\circ}F-32) \ \longmapsto \ Formula }[/tex]

We substitute the number 77 where the Fahrenheit degrees are, and we are left with the following form.

[tex]\bf{^{\circ}C= \dfrac{5}{9}(77-32) \ \longmapsto \ \ Subtract \ 32 \ from \ 77. }[/tex]

[tex]\bf{^{\circ}C= \dfrac{5}{9}\times45 \ \longmapsto \ \ Multiply \ 5*45, divide \ by \ 9 }[/tex]

[tex]\bf{^{\circ}C=25}[/tex]

So 77 Fahrenheit, on the Celsius scale is 25.So the correct alternative is option "A".

С
15 cm
X cm
A
8 cm
B.

Answers

Answer:

17

Step-by-step explanation:

This is Pythagorean Theorem. AB is the "a" side, BC is the "b" side, and the x (or AC) is the hypotenuse. In Pythagorean Theorem, a^2 + b^2 = c^2  is used to find the hypotenuse, or in this case, segment AC. We find this by doing 8^2 + 15^2 which gives us 289. We then take the square of that which is 17 to find the hypotenuse, or the length of line segment AC

Brainliest pls

Consider the function f(x) = 3x
a. How would you change the original function to shift the graph 5 units
upwards?

Answers

Answer:

f(x)=3x+5

Step-by-step explanation:

just plus 5 when moving up, mines 5 when moving down

Please give brilianst!!!!

Thank you

Which graph represents the line that has a -intercept of 3 and goes through the point (2, 5) ?

Answers

Answer:

The second one

Step-by-step explanation:

Answer:

Is the third one,as you can see it goes thru the point (2,5)

Step-by-step explanation:

PLEASE HELP!!!! Parallelogram

Answers

Answer:

B) 120 degrees

Step-by-step explanation:

The two triangles are the same, so first find the measure of angle B.

To do this first solve for angles A and C. Solve for A first: 4x or 4(5), which is 20 degrees. Now solve for C: 8x or 8(5), which is 40 degrees. Add 40 + 20 degrees to get 60 degrees total of those two angles.

A triangle has 180 total degrees, so to solve for the measure of Angle B, subtract 180 - 60 to get 120 degrees.

Since the two triangles are the same, Angle D is the measure as Angle B.

Hope it helps!

Find the area of the triangle using Pythagorean theorem

Answers

Answer:

48

Step-by-step explanation:

Remark

Use a^2 + b^2 = c^2 to solve for the height.

Givens

c = 10

b = 6

h = ?

Solution

b^2 + h^2 = c^2

6^2 + h^2 = 10^2

36 + h^2 = 100            Subtract 36

h^2 = 100 - 36

h^2 = 64                      Take the square root of both sides

sqrt(h^2) = sqrt(64)

h = 8

The height = 8

Area = 1/2 * b * h

Area = 1/2 *12 * 8

Area = 48

Comment

You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12

Using the digits 1 to 5 , Atmos one time, placed a digit in each box to create an expression which is the largest possible value.

Answers

Answer:

4^5+2x3

Step-by-step explanation:

4^5+2x3

How many solutions does the following equation have 6x-4=-4+6x

Answers

The correct answer to your question is “0” zero I think
Yes I will be 0 you welcome

the ratio of red apples to green apples is 2:3 if there are 21 green apples how many red apples are in the basket

Answers

Answer:

49

Brainliest :)

14 red apples

I think it’s 14, because to get to 3 in the ratio you have to divide 21 by 7, so you should multiply the 2 from the ratio by 7, and you end up with the answer of 14

Estela brushes her teeth for t minutes twice a day. She uses the expression t×2×365 to represent how many minutes she spends brushing her teeth each year. Write an equivalent expression. Then explain what information is in your expression that is not in the original expression of t×2×365.

Answers

Sorry I don’t speak English I wish I could really help you I could help you if you just translate into Spanish I’ll tell you the answer sorry

How do you do long divisions for 2 divided by 3339

Answers

Answer:

3339/2=1669.5

Step-by-step explanation:

i haven’t done long division in forever (you’ll never need it in high school), i hope this is right tho!!

4. A map has a scale factor of 1 cm = 15 miles
a. What is the distance (real life) if two cities are 2.5 cm apart on the map?

can anyone help please ?​

Answers

37.5 cm
Cause in 2 cm you get 30 miles and then you add 7.5 so 37.5cm

A circle has an approximate circumference of 15.7 ft. and a radius of 2.5 ft. Based on this
circle, which ratio is equivalent to the value of ?

Answers

Answer:

C

Step-by-step explanation:

[tex]\pi = 3.14[/tex]

15.7/5=3.14

Jennifer and Micaela are selling pies for a school fundraiser. Customers can buy apple pies and pumpkin pies. Jennifer sold 4 apple pies and 5 pumpkin pies for a total of $86. Micaela sold 8 apple pies and 2 pumpkin pies for a total of $92. Find the cost each of one apple pie and one pumpkin pie.

Answers

9514 1404 393

Answer:

apple $9pumpkin $10

Step-by-step explanation:

Let 'a' and 'p' stand for the prices of apple and pumpkin pies, respectively. Then the two sales are described by ...

  4a +5p = 86

  8a +2p = 92

Subtract half the second equation from the first to eliminate the 'a' variable.

  (4a +5p) -(1/2)(8a +2p) = (86) -(1/2)(92)

  4p = 40 . . . . . simplify

  p = 10 . . . . . . . divide by 4

Substitute into the first equation:

  4a + 5(10) = 86

  4a = 36 . . . . . subtract 50

  a = 9 . . . . . . . divide by 4

One apple pie costs $9; one pumpkin pie costs $10.

The sum of a number and twice a second number is 29. The second number is ten less than three times the first number. What are the two numbers?

Also, write the two equations.

Answers

the sum of a number and twice a second number

WILL GIVE BRAINLIEST
find the missing length

Answers

Answer:

Correct Answer is A. 3 times root 5.

Step-by-step explanation:

We all know that in a right angled triangle, the square of both sides is equal to the square of hypotension.

hence,

a^2 + b^2 = c^2

a^2 + (2)^2 = (7)^2

a^2 + 4 = 49

a^2 = 49-4

a^2 = 45

a = root of 45 which is 6.7082

which can be written as 3 times root 5

solve for x. Please show work

Answers

Answer:

9

Step-by-step explanation:

What is the perimeter of the figure?
O 34 m
O 44 m
O 62 m
0 72 in

Answers

Answer:

62  m

Step-by-step explanation:

The answer is 62 because u add the sides and that’s what u get

Kristin draws a different circle. The radius of Kristin's circle is 1/2 the radius of Ben's circle. Which statement is true about Kristin's
circle?
O A The area of Kristin's circle is 2 times the area of Ben's circle.
OB. The area of Kristin's circle is 4 times the area of Ben's circle.
C. The area of Kristin's circle is 1/4 the area of Ben's circle.
D. The area of Kristin's circle is 1/2 the area of Ben's circle
Help please hurry !!

Answers

Answer:

[tex]\large\boxed{\textsf{Option D.}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to compare the areas between Kristin's and Ben's circle.}[/tex]

[tex]\textsf{To start, we should know that the Radius plays an important role for the area.}[/tex]

[tex]\Large\underline{\textsf{What is the Radius?}}[/tex]

[tex]\textsf{The \underline{Radius} is a \underline{line segment} that starts at the \underline{center} of the circle, and ends at}[/tex]

[tex]\textsf{a point on the \underline{circumference} of the circle. (\underline{Arc})}[/tex]

[tex]\large\underline{\textsf{Area of a Circle:}}[/tex]

[tex]\mathtt{Area = \pi (radius)^{2}}[/tex]

[tex]\textsf{The Radius \underline{determines} what the area of the circle is.}[/tex]

[tex]\textsf{Because Kristin's radius is 1/2 of Ben's radius, \underline{the area will be 1/2 of Bens}.}[/tex]

[tex]\large\boxed{\textsf{Option D.}}[/tex]

A rectangular boad is 1100 millmeters long and 900 millmeters wide. what is the area of the board in square meters?

Answers

Answer:

1100 mm = 1.1 m, and 900 mm = 0.9 m.

So the area is 1.1 x 0.9 = 0.99 m^2

The area of the rectangular board is 0.99 square meters.

Given that a rectangular board is 1100 millimeters long and 900 millimeters wide.

We need to find the area of the board,

To find the area of the rectangular board in square meters, we need to convert the given dimensions from millimeters to meters and then calculate the area.

Given:

Length of the board = 1100 millimeters

Width of the board = 900 millimeters

To convert millimeters to meters, we divide the given values by 1000:

Length in meters = 1100 mm / 1000 = 1.1 meters

Width in meters = 900 mm / 1000 = 0.9 meters

The formula to calculate the area of a rectangle is:

Area = Length × Width

Substituting the values, we get:

Area = 1.1 meters × 0.9 meters

Area = 0.99 square meters

Therefore, the area of the rectangular board is 0.99 square meters.

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Which statement about the reflection below is true?

Answers

Answer:

Can you show us the statements?

Step-by-step explanation:

what are the statements

Describe each graph in relation to its basic function.
a. Compare f(x) = (x - 2)^3 - 1 to the basic function g(x) = x^3
Explain in full sentences please!

Answers

Answer:

In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.

Step-by-step explanation:

Let be [tex]g(x) = x^{3}[/tex] the parent function, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation, that is:

[tex]f(x) = g(x-a)-b,\,a,b\in\mathbb{R}[/tex] (1)

If [tex]a > 0[/tex], then translation is rightwards.

If [tex]b > 0[/tex], then translation in downwars.

If [tex]a = 2[/tex] and [tex]b = 1[/tex], then the resulting function is:

[tex]f(x) = g(x-2)-1[/tex]

[tex]f(x) = (x-2)^{3}-1[/tex] (2)

In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.

4 5/6 - 4 1/3 in simplest form

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4\dfrac{5}{6}-4\dfrac{1}{3}\ =}[/tex]

[tex]\mathsf{4\dfrac{5}{6}=\bf \dfrac{29}{6}}[/tex]

[tex]\mathsf{4\dfrac{1}{3}=\bf \dfrac{13}{3}}[/tex]

[tex]\mathsf{\dfrac{29}{6}-\dfrac{13}{3}}[/tex]

[tex]\mathsf{\dfrac{(29\times3)-(13\times6)}{6\times3}}[/tex]

[tex]\mathsf{29\times3 = \bf 87}\leftarrow \large\textsf{\underline{NUMERATOR}}[/tex]

[tex]\mathsf{13\times6= \bf 78}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]

[tex]\mathsf{\dfrac{\bf 87-78}{6\times3}}[/tex]

[tex]\mathsf{87-78=\bf 9}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]

[tex]\mathsf{\dfrac{\bf 9}{6\times3}}[/tex]

[tex]\mathsf{6\times3 = \bf 18}\leftarrow\large\textsf{\underline{DENOMINATOR}}[/tex]

[tex]\mathsf{\dfrac{9}{\bf 18}}[/tex]

[tex]\mathsf{\dfrac{9\div9}{18\div9}}[/tex]

[tex]\mathsf{9\div9=\bf 1}\leftarrow \large\textsf{NUMERATOR}[/tex]

[tex]\mathsf{\dfrac{\bf 1}{18\div9}}[/tex]

[tex]\mathsf{18\div9= \bf 2}\leftarrow\large\textsf{DENOMINATOR}[/tex]

[tex]\mathsf{ = \dfrac{1}{\bf 2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf \dfrac{1}{2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP!
Dean owes $14 on his credit card. He subtract five dollars from his credit card debt by making a payment. Dean
writes this subtraction equation to represent what he owes now. how much money does Dean owe now?
-14 - (-5)=?

answer options:
Dean owes $19
Dean owes $9
Dean has a positive $9
Dean has a positive $19

Answers

dean now owes $9 because -14 - (-5) is the same as -14+5, or 5 - 14

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a rectangular solid has 6 cm by 6 cm by 6 cm is painted on all six faces then the solid is cut into cubes that measures 2 cm on each side how many cubes have only one face painted ​

Answers

12 cubes hvhvyvububuvccycyvy

How can you find the missing angle measurement of a triangle if you know the measurement of the other 2 angles using an equation

Answers

hello

Step-by-step explanation:

180 - (sum of known angles) = missing angle

you can substitute the values

angles in a triangle add up to 180

what fraction is 15 minutes of 1 hour​

Answers

Answer:

1/4

Step-by-step explanation:

Convert 1 hour to minutes

1 hour = 60 minutes

Then you can find the fraction

15/60

simplifies to 1/4

15 minutes is 1/4 of 60 minutes/1 hour

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