The decimal 0.5<span> represents the </span>fraction<span> 5/10. The decimal 0.25 represents the </span>fraction<span> 25/100. Decimal </span>fractions<span> always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10.</span>
Answer:
y = 3 - 2x
Step-by-step explanation:
The goal is to isolate the y variable
In order to have y by itself (on one side of the equation or equal sign), we must move the other numbers and variables to the other side.
Since 2x is on the same side as y, we have to subtract it from both sides. Subtracting it cancels out the original 2x and leaves the equation to look like this:
y = 3 - 2x
Now the y is isolated
Another example:
-5x + y = 15
To isolate the y, we must cancel out the -5x. Add 5x to both sides. It will cancel out the -5x and bring it to the right side of the equation, resulting in:
y = 15 + 5x
Dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
<span>C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft</span>²
<span>
The answer a the question 1) is 16.50 feet X 13.50 feet</span>
The answer a the question 2) is 222.75 ft²
<span>3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?
if </span><span>two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour</span><span>
four person </span>carpet crew can lay 100 square feet of carpet---------- > 1 hour
therefore
if 100 ft² carpet----------------------- > 1 hour
222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours
The answer is 2.23 hours
Answer:
y = x - 4
Step-by-step explanation:
The line passes through (-1,-5) and (-3,-7)
The slope of a line is given by; change in y ÷ change in x
i.e slope = 
= 
= 1
Taking another point (x,y) on the line.
Slope will be; 
= 1
Cross multiplying gives; y + 5 = x + 1
Simplifying this equation gives us the equation of our line which is;
y = x - 4
