Ashley has 6 books and 9 pencils. James has 12 pencils but is not able to determine the amount of books he has. The amount of books and pencils Ashley and James have are proportional. How many books does James have? Show your work using mathematics.

8 books

Step-by-step explanation:

First you need to find the ratio between 6 and 9

6/9 = 2/3

The ratio is 2/3

Now for James's case his denominator would be 12

x/12

To find the numerator you need to multiply the denominator by 2/3

12 * 2/3 = 8

There you go, the numerator is your answer

8 books and 12 pencils

Hope this helps :)

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places