Use equivalent ratios to find the unknown value.
2
The unknown value is

Answer:

7.5

Step-by-step explanation:

From the above Question, the equation is given as:

y = 1.6x + 48

Where

x is the shoe size

y is the height, in inches.

What is the approximate shoe size for a man having a height of 60 inches?

This is calculated as:

60 = 1.6x + 48

Collect the like terms

1.6x = 60 - 48

1.6x = 12

We divide both sides by 1.6

x = 12/1.6

x = 7.5

Therefore, the shoe size for a man having the height of 60 inches is 7.5.

Answer:

Fgffg

Step-by-step explanation:

Dogged

Answer:

5x/x-2

Step-by-step explanation:

rewrite it as x=2y/y-5 to make y the subject

multiply by (y-5) on both sides to get x(y-5)=2y

simplify x(y-5)=2y to get xy - 5x = 2y.

in order to get y as a subject you would need to move all the (y)s to one side.

Which would leave you with xy - 2y = 5x. you can now make y the subject from here through factorisation : y(x-2)=5x.

Then to finish with y as a subject divide (x-2) on both sides to get the answer which is : y = 5x/x-2

Sorry if this is confusing but this is me explaining how my thought process works for this question.

The inverse of the function will be -

f⁻¹(x) = 5/(1 - 2/x)

Given is f(x) = 2x/(x - 5)

We have -

y = 2x/(x - 5)

replace [x] with [y] as -

x = 2y/(y - 5)

Solving for y -

y/(y - 5) = x/2

(y - 5)/y = 2/x

(y /y - 5/y) = 2/x

(1 - 2/x) = 5/y

y = 5/(1 - 2/x)

f⁻¹(x) = 5/(1 - 2/x)

Therefore, the inverse of the function will be -

f⁻¹(x) = 5/(1 - 2/x)

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Answer:

2n³ - 3n² - 7n + 3

Step-by-step explanation:

Given

(n² - 3n + 1)(2n + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

n²(2n + 3) - 3n(2n + 3) + 1(2n + 3) ← distribute the parenthesis

= 2n³ + 3n² - 6n² - 9n + 2n + 3 ← collect like terms

= 2n³ - 3n² - 7n + 3

Answer:

the second one, B

Step-by-step explanation:

This is because in both numbers the decimal was moved back one.

0.18y+55 is the  represents the production cost for one shirt.

Expression is a combination of numbers, variables and operators.

Given that  production cost to make 10 shirts is modeled by the expression 1.8y+55.

The variable y represents the number of meters of fabric needed to make the shirts.

We need to find the expression represents the production cost for one shirt.

As there are 10 shirts so divide 1.8 with 10

we get 0.18.

And the value remains constant as it is a constant which does not change.

Hence, 0.18y+55 is the expression represents the production cost for one shirt.

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Answer:

Fugi=$1.50 per apple, Gala=$1.60 per apple. Fugi are cheaper

Answer:

Fuji apples are better because they only cost $1.50

Answer:

Smaller Trapezoid: 12

Bigger Paralleogram: 24

Bigger Triangle: 22/40

Smaller Triangle : 2.75/ 5

Step-by-step explanation:

cross multiplication

Bigger Paralleogram: 9 x 16= 144 / 6= 24

Bigger Triangle: 5 x 22= 110 / 2.75 = 40

hope this helps

Answer:

zuzhztxrctwhdvdhsuwjd

Answer:

x= 107.3-51

56.3

Step-by-step explanation:

Equation: First define your variables. We'll say x= the second number.

So we can make our equation x= 107.3-51

107.3-51 is 56.3.

So the solution is 56.3

Answer:

56.3 i the second angle

Step-by-step explanation:

107.3=x+51

subtract 51

56.3 is the second angle

Answer:

Step-by-step explanation:

Answer:

I have one below (It's kind of simple though..)

Step-by-step explanation:

Harry Had 5 Potions he made in Potions Class. He would like to share the 5 potions with his 2 friends, Ron and Hermione. How many potions do they each get? Write the equation for how many each person gets in fractional form

(This is a simple one I don't have a complicated one..)

Answer:

A. S=3w

Step-by-step explanation:

Hope it helps

Answer:

The answer is row C

Step-by-step explanation:

6 - 3 = 3

Answer:

[tex]21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}[/tex]

Step-by-step explanation:

(Assuming the den is a rectangle)

Let [tex]x[/tex] be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as [tex]x-10[/tex].

The area of a rectangle is given as [tex]l\cdot w[/tex], therefore we can form the following equation:

[tex]x(x-10)=231[/tex]

Expanding this, we have:

[tex]x^2-10x=231, \\\\x^2-10x-231=0[/tex]

This factors into [tex](x-21)(x+11)=0[/tex], therefore [tex]x=21, \: -11[/tex].

Because -11 is extraneous, the length of the den is [tex]21[/tex] feet and the width is [tex]21-10=11[/tex]. Thus, the dimensions of the den are [tex]\fbox{$21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}$}[/tex].

Answer: There are 8 jars in the package.

Step-by-step explanation:

Given: Weight of each jar = 18 ounces

Weight of box = 6 ounces

If weight of package = 150 ounces , then the weight of all jars (only) = 150-6 ounces = 144 ounces

Number of jars = (Weight of all jars) ÷ (Weight of each jar)

= (144 ÷ 18)

= 8

Hence, there are 8 jars in the package.

Answer:

The answer is 3/5

Step-by-step explanation:

try math caculators to help you with these questions thats where i go the solution from.

-Best of luck

Answer:

81x^4/16  (81x to the fourth over 16)

Step-by-step explanation:

First you apply the exponent rule: (a/b)^c  ->  a^c/b^c

So it looks like this: 3x^2/4^2

Then you apply the exponent to the whole thing, and 3^4 is 81, x^4 stays like that, and 2^4 is 16

You can't simplify any more after that so that's your answer

Hope this helps!

Answer:

2y-x-1

Step-by-step explanation:

use zero property

(-2x. +2x) =0

=6y-x+5-4y-6

collect like terms

6y-4y=2y

=2y-x+5-6

calculate the difference

+5-6=-1

=2y-x-1

good day :)

Answer:

Your screen is black hun

Step-by-step explanation:

Answer:

800 CAD = 508 EUR

Step-by-step explanation:

From the above question:

1 CAD = 0.635 EUR

800 CAD = x

Crososs Multiply

x = 800 CAD × 0.635 EUR

x = 508 EUR

Therefore,

800 CAD = 508 EUR

Answer:

Sam is right.

Step-by-step explanation:

Key skills needed: Fraction Modelling, Fraction Division

1) We are given this problem --> [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex]

2) This means we need to find how many [tex]\frac{1}{4}[/tex]'s are in 6.

3) There are 2 ways to approach this problem

        1. The first way is via using the fractional division properties:

Let's say we are given a problem --> [tex]a[/tex] ÷ [tex]\frac{b}{c}[/tex]

This can be made into  --> [tex]a[/tex] × [tex]\frac{c}{b}[/tex]

It is a simple property that should be remembered.

This means that [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex] is the same as [tex]6[/tex] × [tex]\frac{4}{1}[/tex] which is 24.

        2. The second way is with using a model (which I am not very good with). The model way is the image I will post.

Hope you understand both ways and have a nice day!! :D    

Answer:

[tex]b)\ Obtuse[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that:\\There\ are\ three\ rays.\\Lets\ mark\ them\ Ray\ OP, OQ,\ and\ OR\ with\ their\ common\ Vertex\ O.\\\\Now,\\We\ know\ that\ the\ sum\ of\ all\ angles\ around\ a\ point[or\ here\ Vertex\ O]\\ should\ be\ equal\ to\ 360.\\Here,\\\\Lets\ consider\ each\ case\ sepearately.\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ acute\ then:\\\angle POR, \angle ROQ, \angle POQ<90\\If\ we\ add\ them\ together,[/tex]

[tex]\angle POR+ \angle ROQ+ \angle POQ<90+90+90<270[/tex]

[tex]But\ here\ the\ sum\ of\ the\ angles\ are\ less\ than\ 270,\ but\ the\ sum\ should\\ instead\ be\ 360.\\Hence,\ the\ angles\ formed\ by\ the\ rays\ are\ NOT\ acute.[/tex]

[tex]Similarly,\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ right\ then:\\\angle POR, \angle ROQ, \angle POQ =90\\When\ we\ add\ them\ again:\\\angle POR+ \angle ROQ+ \angle POQ=90+90+90=270\\But\ again\ the\ sum\ here\ is\ equal\ to\ 270,\ but\ instead\ the\ sum\ had\ to\\ be\ equal\ to\ 360.\\Hence,\\The\ angles\ formed\ are\ NOT\ right.[/tex]

[tex]Lets\ consider\ the\ Last\ Case,\\If\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ\ are\ obtuse,\\\angle POR, \angle ROQ, \angle POQ>90\\When\ we\ add\ them:\\\angle POR+ \angle ROQ+ \angle POQ>(90+90+90)>270\\Here,\\The\ angles\ formed\ are\ greater\ than\ 270.\ As\ 360>270,\ the\ angles\ ARE\\ obtuse.[/tex]

Answer:

Clare is faster

Step-by-step explanation:

They are both traveling the same distance but Clare travelled it in less time which means she is going faster.

Answer: Clare

Step-by-step explanation: If it the same mile, just look whoever’s time is the least is the fastest.

Answer:

1/5

Step-by-step explanation:

im pretty sure thats it! and have a great day!

Answer:1/5 or 0.2

by-step explanation:

The required equation represents the descent motion of the airplane is y = 27000 - 1333.333x and 11000 feet.

Given that,
An airplane prepares for landing. When it begins its descent towards the airport, the plane's altitude is 27,000 feet. After descending at a steady rate for 6 minutes, its altitude is 19,000 feet. Write an equation for the altitude of the plane.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the motion of the airplane,
m = 27000 - 19000 / 6 = 1333.33
The equation of the plane is given as,
y - y₁ = m (x - x₁)
Substitute the value in the above equation,
y - 27000 = -1333.33[x - 0]
y = 27000 - 1333.33x

Now put x = 12 in above equation,
y = 27000 - 1333.33[12]
y = 11000

Thus, the required equation represents the descent motion of the airplane as y = 27000 - 1333.333x and 11000 feet.

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Answer:

its A :)

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

$6.25/100=0.0625

$2.50/0.0625=40

so your wage increased by 40%

Answer:

h(6)=-24

Step-by-step explanation:

h(6)=-3(6)-6

h(6)=-18-6

h(6)=-24

The required value of h(6) of the function would be -24.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

Given the function h(x) = -3x - 6

We have to determine the value of h(6) of the function

⇒ h(x) = -3x - 6

Substitute the value of x = 6 in the above function, and we get

⇒ h(6) = -3(6) - 6

Apply the multiplication operation

⇒ h(6) = -18 - 6

Apply the addition operation

⇒ h(6) = -24

Therefore, the required value of h(6) of the function would be -24.

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Answer:

Y= -2

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

Normally you would use the formula y2 - y1 / x2 - x1 also know as change in y over change in x, but this equation leaves you with a horizontal line.