The answer is 61, x+40+5x+14=180, so x equals 21. 5(21)+14 ends up equaling 119, so 180-119 equals 1
Given:
The equation is:

It cuts the x-axis and y- axis at the point A and B respectively.
The area of ∆AOB =12 sq.units.
To find:
The value of <em>k</em>.
Solution:
We have,

Substituting
to find the y-intercept.




Substituting
to find the x-intercept.



Area of a triangle is:

The height of the ∆AOB is
because distance cannot be negative and the base of the ∆AOB is
. So, the area of the ∆AOB is:


It is given that, the area of ∆AOB = 12 sq.units.




Therefore, the value of k is either 24 or -24.
Answer:
The monthly net pay is $1555 .
Step-by-step explanation:
As given
Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%.
Quintina’s gross pay per month is $2,100.
16% is written in the decimal form .

= 0.16
Federal income tax = 0.16 × Gross pay
= 0.16 × 2100
= 336
Monthly net pay = Gross pay - Federal income tax - State Income Tax - Social Security - Medicare
= 2100 - 336 - 89 - 85 - 35
= 2100 - 545
= $1555
Therefore the monthly net pay is $1555 .
Answer:
The y-intercept is 15 and the slope is 5.5
y=5.5x+15
Step-by-step explanation:
Answer:
There are 25 students in Hannah's class.
Step-by-step explanation:
If 20 students in Hannah's class is 80% of the total amount of students, we can use a variable to figure out the total amount of students.
Let's say x is the total amount of students. We can use this equation to solve the problem:

This is saying 20 equals 80% (.8 when you move the decimal 2 times) of x, or the total amount of students. Let's solve.
20 = .8x
Divide by .8
25 = x
There are 25 students in Hannah's class.