Solve the word problem below. Enter your answer as a fraction in simplest
terms, using the slash (/) as the fraction bar.
If of all books at a library are nonfiction and of the nonfiction books are
4
biographies, then what fraction of the library's books are nonfiction
biographies?

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

Answer:

The correct answer is Y = 26

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

[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]

[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]

[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]

[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]

[tex]\mathsf{2\times13=\bf y}[/tex]

[tex]\mathsf{2\times13 = \bf 26}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]

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

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

Answer:

54.3

Step-by-step explanation:

4/3 x pi x 2.35^3

Answer:

x = 16

Step-by-step explanation:

Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.

Thus:

EG/AC = EF/AB

EG = 756

AC = (45x - 76)

EF = 1107

AB = 943

Plug in the values into the equation

756/(45x - 76) = 1107/943

Cross Multiply

756*943 = (45x - 76)*1107

712,908 = 49,815x - 84,132

712,908 + 84,132 = 49,815x

797,040 = 49,815x

797,040/49,815 = x

16 = x

x = 16

Given:

Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.

Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.

Remaining persons are adults.

There were 56 more girls than adults.

To find:

The number of total persons.

Solution:

Let x be the number of total persons. Then,

Number of boys = [tex]\dfrac{1}{4}x[/tex]

Number of girls = [tex]\dfrac{5}{8}x[/tex]

Number of adults = Total persons - Boys - Girls

                             = [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]

                             = [tex]\dfrac{8x-2x-5x}{8}[/tex]

                             = [tex]\dfrac{x}{8}[/tex]

There were 56 more girls than adults.

Girls = Adults + 56

[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]

[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]

[tex]\dfrac{4}{8}x=56[/tex]

[tex]\dfrac{1}{2}x=56[/tex]

Multiply both sides by 2.

[tex]x=112[/tex]

Therefore, the total number of persons is 112.

Answer: 9.6

Step-by-step explanation: I did a proportion, 2.4/1.5=?/6 so 6/1.5= 4 so 2.4*4= 9.6

So a person can walk 9.6 miles in 6 hours.

Hope this helps!

Please find the attached photograph for your answer

Answer:

0

Step-by-step explanation:

absolute value disregards -/+

Answer:

c

Step-by-step explanation:

a^2 = 37^2 - 35^2

a^2 = 1369 - 1225

a^2 = 144

___

a = /144

a = 12

Answer:

its most likely A

Step-by-step explanation:

Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A

Answer:

no worries :)

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

Answer:

a) 4sqrt3

Step-by-step explanation:

8/2=4

4*sqrt3=4sqrt3

look up 30 60 90 triangle

Answer:

4+5=9

Step-by-step explanation:

a2+b=9  

Two negatives equal a positive you multiply 2, 2 times because of the power 2.

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \Longrightarrow 9 }}}}}}}}[/tex]

Step-by-step explanation:

Given,

a = - 2

b = 5

Our expression is,

a² + b.

To solve this, we need to substitute the values of a & b in the given expresssion. So,

a² + b

= (-2)² + 5

= 4 + 5 (2 negatives when mutilpied gives a positive number)

= [tex]\boxed{\sf{9}}[/tex]

___________________________

[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]

Answer:

1. w+24=42

2. 18

Answer:

not 100% but choose w+24=42 and 18 pounds for the box

Step-by-step explanation:

if its 42 pound i total and they told yoy the amount they have for the honeycrisp subtract 42 -24 = 18. 18 is the amount of golden appels

Answer:

h = 45.5 ÷ 7

Step-by-step explanation:

Answer:

[tex]\sqrt[4]{100}[/tex]

Step-by-step explanation: Hope this helped

Answer:

in right angled triangle ABC

by using Pythagoras law

h²=p²+b²

x²=7²+10²

x=√149=12.21cm

Answer:

1) N^2 + 1

2) 5*N - 9

3) n*5 + 1    (con n entero)

4) n*2 + 1    (con n entero)

Step-by-step explanation:

1)  El cuadrado de un número aumentado en 1.

Podemos definir a N como el número.

El cuadrado de N es:

N^2

Y a esto lo tenemos que aumentar en 1, entonces tenemos:

N^2 + 1

Esto es el cuadrado de un número aumentado en 1.

2)  Cinco veces un número menos 8.

Esto es:

5*N  (5 veces un número)

Y a esto le restamos 8, para obtener:

5*N - 8

3) El número siguiente a un múltiplo de 5

Un multiplo de 5 se escribe como:

n*5

Donde n es un número entero.

El numero siguiente es:

n*5 + 1

4) Un número impar.

Bien, sabemos que un número par es un multiplo de 2.

Entonces:

n*2 es un número par.

Entonces, n*2 + 1 tiene que ser un numero impar.

En este caso la expresión algebraica es:

n*2 + 1

Answer:

2 7/8 hours

Step-by-step explanation:

Answer:

2hrs 12 mins

Step-by-step explanation:

5hrs = 5x = 1600  question asks us to find 680

2 1/2x + 680-640 =-x + 2.8hrs

2x + 40 = x + 2.8hrs

2x + 40 = 680

Then use the 2.8 to convert into hrs : minutes ie) 0.8 x 60

0.8  *  60 = 48 minutes

Then go back to  x  + 2.8hrs = x + 2hrs 48mins

2x + 48 = 60

2x + 48 = 60

2x+ 60 - 48  

x = 2:12 hours

Answer:

I believe it's 960

Step-by-step explanation:

Rect. Prism volume = 12 * 10 * 7 = 840

Pyramid = (12 * 10 * 3) / 3 = 120

Total = 840 + 120 = 960

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.

It seems to be a good idea to start with the formula for the volume.

Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).

Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.

Evaluating it gives the volume in cubic units.

_____

Additional comment

If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).

However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.

Answer:

10 ft x 20ft2 ft x 100ft 40ft x 50ft1 ft x 200 ft4ft x 50ft5ft x 40ft 8ft x 25ft

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

b is the cprrect answer

Step-by-step explanation:

please mark this answer as brainliest

Answer:

Cost increases to $330.

The percent increase here would be:

= (New price - Old price )/ Old price

= (330 - 250) / 250

= 0.32

= 32%

Cost increases to $330 and charges $50 baggage fee

= (New price - Old price )/ Old price

= (330 + 50 - 250) / 250

= 0.52

= 52%

Answer:

it is the number you are trying to solve for which would be 5

Step-by-step explanation:

Apnswer:

p = 1

q = -2

Step-by-step explanation:

5p - 2q = 9   eqn 1

3p + 2q = 7    eqn 2

subtract equation 2 from 1

2p = 2

p = 1

Substitute for p in equation 1

5(1) - 2q = 9

5 - 2q = 9

-2q = 4

q = -2