A librarian put 42 books back on the shelves before lunch. Of the books, 14 were non-fiction. What is the ratio of the number of non-fiction books to the total number of books the librarian put away before lunch?

Answer:

its A :)

Step-by-step explanation:

Answer:

the value of -6 is -6

Step-by-step explanation:

9514 1404 393

Answer:

  A, B, D  

Step-by-step explanation:

The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.

__

There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.

Answer:

124.80 ft

Step-by-step explanation:

Height of Daniel = 6 ft

The angle of elevation from his eyes to the top of the statue is = 68°

Daniel is 48 ft away from the base of the statue

To find the height of the statue apply the tangent of an angle formula then add height of Daniel as;

Tan 68° = h/48

h= {48 tan 68°} + 6 ft

h= 124.804168964

h= 124.80 ft

Answer:

all answers on the graph will be 4 times that amount

Step-by-step explanation:

rise over run

basically if y is 1 and its of a slope of 1/4 then youd multiply it by 4. 2/8 3/12

as well as it will always be a positive slope :)

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:

Answer:

the answer is 200 square feet

Step-by-step explanation:

Answer:

_____________Y= -2X-10 __________

Answer:

y= -2/1x + 10

Answer:

Y= -2

Step-by-step explanation:

Answer:

C) $6.46

Step-by-step explanation:

Equations

The price per gallon of milk (m) and the price per gallon of orange juice (j) are given below:

m = 5.71 + 0.25n

j = 4.66 + 0.60n

Where n is the number of months after December 31, 2018.

It's required to find the value of n when both prices are equal:

4.66 + 0.60n = 5.71 + 0.25n

Subtracting 0.25n:

4.66 + 0.60n - 0.25n = 5.71

Subtracting 4.66:

0.60n - 0.25n = 5.71 - 4.66

Operating:

0.35n = 1.05

n = 1.05/0.35

n = 3

The price per gallon of milk for n=3:

m = 5.71 + 0.25*3

m = 5.71 + 0.75

m = $6.46

Step-by-step explanation:

since right angle triangle,then:

180-(90+35)=B=55

use cosB=opposite/hypotenuse

cos55=x/12

x=cos55x12

x=6.88

9514 1404 393

Answer:

  9.8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship involving the adjacent side and the hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(35°) = x/12

Multiplying by 12 gives x:

  x = 12·cos(35°) = 12×0.81215

  x = 9.8

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: BOTTLE 1 =0.0297 BOTTLE 2 =0.0289

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50 km is covered in 5.5 hours, the unit rate will be 50 km/5.5 hours = 9.09 km/hour

bottle 1: $2.97/100 oz = unit rate

bottle 2: $5.78/200 oz=unit rate

BOTTLE 1 =0.0297

BOTTLE 2 =0.0289

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:

[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:

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)

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

160 cm

Step-by-step explanation:

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:

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.

Learn more about the function here:

brainly.com/question/12431044

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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:

The answer is row C

Step-by-step explanation:

6 - 3 = 3

Answer:

Slope and Width

If it's too flat, drainage may become an issue, and if it's too steep, the surface becomes slippery and dangerous. As a general rule, a driveway should be less than a 15% grade, which means that it should not rise more than 15 feet over a distance of 100 feet.

Step-by-step explanation:

mark as BRAINLY

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]-5\:\mathrm{and}\: 11[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}x+y=6\\x-y=16\\\end{cases}[/tex]

Adding both equations together, we isolate [tex]x[/tex] and get:

[tex]2x=22,\: x=11[/tex]

Plugging [tex]x=11[/tex] in any of the equations, we can solve for [tex]y[/tex]:

[tex]11+y=6,\: y=-5[/tex]

Verify that the solution pair [tex](11, -5)[/tex] works [tex]\checkmark[/tex]

Therefore, the two numbers are [tex]\fbox{$-5\:\mathrm{and}\: 11$}[/tex].

Answer: D

Step-by-step explanation:

The rest are not

Answer:

y=1/3x-4

Step-by-step explanation:

Answer:

y=1/3x-4

Step-by-step explanation:

4 is negative cause it says less than..

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

Answer:

Evaporation is great separating a mixture of a soluble solid and a solvent .The involves heating the solution until the solvent evaporates leaving behind the solid residue.

May it help you