The glee club has $90 to spend on pens and pencils. each pen costs $0.75 and each pencil costs $0.15. let x represent the number of pens, and let y represent the number of pencils.

part a
select the equation that describes the number of club pens and pencils that the glee club can buy.

a. 0.15x + 0.75y = 90
b. 0.75x + 0.15y = 90
c. 0.90(x + y) = 90
part b
what is the greatest number of each type of writing tool that the club can buy?

greatest number of pens =

greatest number of pencils =

greatest number of pens =120

greatest number of pencils = 600

Step-by-step explanation:

Let x represent the number of pens

Let y represent the number of pencils.

Each pen costs $0.75

Cost of x pens = 0.75 x

Each pencil costs $0.15.

Cost of y pencils = 0.15y

Now we are given that The glee club has $90 to spend on pens and pencils.

So,

So,t the equation that describes the number of club pens and pencils that the glee club can buy is  

Part A)  

Part B )What is the greatest number of each type of writing tool that the club can buy?

Substitute y = 0

greatest number of pens =120

Substitute x = 0

greatest number of pencils = 600

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w