Step-by-step explanation: To graph x < 6 on a number line, we start with an open dot at +6. The reason we use an open dot at +6 is that x is less than +6 but it is not equal to +6. Next we drawn an arrow going to the left to show that all numbers less than +6 are solutions to this inequality.
Image is attached below.
Answer:
The dimensions of the frame are 15 in x 13 in
Step-by-step explanation:
Let
x ----> the length of the picture
y ----> the width of the picture
we know that
-----> equation A
The area of the picture, including the frame is


so
----> equation B
substitute equation A in equation B

solve for y

solve the quadratic equation by graphing
The solution is y=7 in
see the attached figure
<em>Find the value of x</em>

Find the dimensions of the frame


therefore
The dimensions of the frame are 15 in x 13 in
Answer:
Step-by-step explanation:
approximately 0.94625 liters per second
Answer:
166
Step-by-step explanation:
Answer:
a) 1.8 
b) 3.6 
Step-by-step explanation:
Conversion and calculation of areas
The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard
a)
We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is
A=(0.5)(0.6)=0.3 
Assuming there is no overlapping, the 6 stickers have a total area
6*0.3
=1.8 
b)
Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have
long=2/5*3=1.2 feet
wide=1/4*3=0.75 feet
Area of each paper=1.2 feet*0.75 feet=0.9 
Area of the entire board, assuming no overlapping and no space left uncovered=4*0.9 
Area of board=3.6 