Answer:
Sue should buy 1.6 quart of paint.
Step-by-step explanation:
First we need to find out the area of longest wall
Area =length × breadth
Area= 10 × 8 = 80 square feet
To cover 50 square feet we have required 1 quart of paint
So for covering 1 square feet we have required 1/50 quart of paint
So for covering 80 square feet we have required ( 1×80 ) / 50 quart
= 1.6 quart of paint
So to get the $ spent on misc items, just add up the other expenses and subtract it from 3600:
Now to put them into fractions.
Tuition: 
Rent: 
Food: 
Misc: 
Answer:
x=7.5
y=1.5
Step-by-step explanation:
subtract x from both sides
combine like terms
subtract 1.8 from both sides
divide both sides by 0.3
x=7.5
y=1.5
Answer:
Step-by-step explanation:
To get the points at which the two boats meet we need to find the equations that model their movement:
Boat A:
vertex form of the equation is given by:
f(x)=a(x-h)^2+k
where:
(h,k) is the vertex, thus plugging our values we shall have:
f(x)=a(x-0)^2+5
f(x)=ax^2+5
when x=-10, y=0 thus
0=100a+5
a=-1/20
thus the equation is:
f(x)=-1/20x^2+5
Boat B
slope=(4-0)/(10+10)=4/20=1/5
thus the equation is:
1/5(x-10)=y-4
y=1/5x+2
thus the points where they met will be at:
1/5x+2=-1/20x^2+5
solving for x we get:
x=-10 or x=6
when x=-10, y=0
when x=6, y=3.2
Answer is (6,3.2)
