Write an equation to solve the problem. three times the quantity eight less than 4 times a number is 60. find the number.

3 * (4x - 8) = 60

x = 7

Step-by-step explanation:

First you have to find out what is being done first.

Three times the quantity eight less than 4 times a number is 60.

x = a number

3 *

- 8

4 * x

= 60

The first thing to do is 4 times a number.

4 * x = 4x

Then minus 8.

4x - 8

Then multiply by 3.

3 * (4x - 8) = 60

Now divide both sides by 3

4x - 8 = 20

Add 8 to both sides

4x = 28

Divide both sides by 4

x = 7

7

Step-by-step explanation:

let number = x

"4 times a number" = 4x

"eight less than 4 times a number" = eight less than 4x = (4x - 8)

"Three times the quantity eight less than 4 times a number"

= 3 times (4x - 8) = 3(4x-8)

Given that the expression = 60

3(4x-8) = 60

(4x-8) = 20

4x  = 20 + 8

x = 28 / 4

x = 7

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!