We know that
<span>4 1/2 gallons-------> (4+2+1)/2-----> 9/2 gallons
</span>
1 <span> wall in the house will need --------> 3/4 of a gallon of paint
</span> X wall-----------------------------------> 9/2 gallons
x=(9/2)/(3/4)----> 9*4/2*3-----> 36/6----> 6 walls
the answer is
6 walls
Let
x-------> bags of <span>popcorn
</span>y-------> bags of hotdogs
we know that
2.50x+3y=200-------> equation 1
x=2y--------> equation 2
substitute 2 in 1
2.50*[2y]+3y=200--------> 5y+3y=200------> 8y=200-----> y=200/8
y=25
x=2y-----> x=2*25-----> x=50
the answer is
50 bags of popcorn
25 bags of hotdogs<span />
Hello ! I'm happy to help
the answer all revolves around this simple formula:
speed= distance/time
since you were driving for 1/4 of an hour that's 15 minutes
and we already know that you traveled 15 miles
so the speed would equal 15 miles every 15 minutes
if you want to find the total distance travelled is 15x15 =225
I think if I do this correctly, the answer is x<-1
X=pounds of coffee bean ($0.20 per pound)
y=pounds of coffee bean ($0.68 per pound )
We can suggest this system of equations:
x+y=120
(0.20x+0.68 y) / (x+y)=0.54 ⇒ (0.2x+0.68y)=0.54(x+y)
We can solve this system by substitution method.
x+y=120 ⇒ y=120-x
0.2x+0.68(120-x)=0.54[x+(120-x)]
0.2x+81.6-0.68x=0.54(120)
-0.48x+81.6=64.8
-0.48x=64.8-81.6
-0.48x=-16.8
x=-16.8/-0.48
x=35
y=120-x=120-35=85
Answer: the coffee mixture has 35 pounds of coffee beans sold to $0.2 a pound, and 85 pounds of coffee beans sold to $0.68 a pound, the solutions is reasonable because the price of a coffee mixture ($0.54 a pound) is greater than $0.2 and smaller than $0.68.
