Answer:
Kate's electric bill will be $9 for this month for bulb use only.
Step-by-step explanation:
Given:
Electricity bill lass month from bulb use = $12
Using new bulbs percent decrease in electricity = 25%
We need to find this month electric bill for bulb use.
Solution:
First we will find the reduction in bill after using new bulbs.
reduction in bill after using new bulbs can be calculated by percent decrease in electricity using new bulb multiplied by last month Electricity bill from bulb use only.
framing in equation form we get;
reduction in bill after using new bulbs = 
Now we will find this month electric bill for bulb use only.
this month electric bill for bulb use only can be calculated by subtracting reduction in bill after using new bulbs from last month electric bill for bulb use only.
framing in equation form we get;
this month electric bill for bulb use only = 
Hence Kate's electric bill will be $9 for this month for bulb use only.
Answer:
y = -x + 2
Step-by-step explanation:
We are asked to find the equation of a line
Step 1: find the slope
We are given two points
( 2 , 0) ( 6 , -4)
m = (y_2 - y_1 )/ (x_2 - x_1)
x_1 = 2
y_1 = 0
x_2 = 6
y_2 = -4
Insert the values
m = ( -4 - 0) / ( 6 - 2)
m = -4 / 4
m = -1
Step 2 : substitute m into the equation
y = mx + c
y = -1x + c
Step 3: substitute any of the two points into the equation
Let's pick ( 6 , -4)
x = 6
y = -4
y = mx + c
y = -1x + c
-4 = -1(6) + c
-4 = -6 + c
c = -4 + 6
c = 2
Step 4: substitute c = 2 into the equation
y = mx + c
y = -x + c
y = -x + 2
Answer:
1. Area of rectangular rug is 
2. Area of triangular room is 
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as
substituting our given data we have
step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as
substituting our given data we have
Answer:
d
Step-by-step explanation:
when cut you can see that the cutout will be a square
the base is a square and the cut is parallel to the base
therefore the cutout will be a square
