A) Original price : y =10.x
Cheaper brand : y = 7x
The original box is $3 more than the cheap one. Proof:
Suppose 1 box is bought of each (x=1),original will cos10 & the cheaper $7
b) Each time he buys a cheap brand he save $3 ($10-$7), on 5 cheap boxes, he would save $3 x 5 boxes = $15
Entrance fee:$6
cost of each rides:$0.50
total no. of rides taken:11
cost of 11 rides:11×$0.50
=$5.50
total amount spent:$5.50+$6
=$11.50
^^hope it helps :) sorry if the answer is wrong
We know each animal has one head. But a chicken has 2 legs and a pig has 4 legs. Set up a system of equations.
2x+4y=100 (where x is the number of chickens and y is the number of pigs)
x+y=30
You can do the solving work (because is looks really messy in paragraph form) but if you solve for x in the bottom equation you get -y+30. Now plug in (-y+30) in for x in your top equation and solve for y to get 20. Since you know that x = -y+30, plug in 20. x=-20+30 simplifies to x=10.
x (number of chickens) = 10
y (number of pigs) = 20
I hope this helps your solving systems of equations.
The six inch cube has a volume of 216 in³.
6*6*6=216
The sphere has a volume of 105.975 in³ (assuming pi is 3.14)
Because the sphere fits snugly inside the cube, it has a diameter of 6 inches and a radius of three inches.
4/3 π r³
4/3 π 3³
4/3 <span>π 27
4/3(3.14)(27)
105.975
The volume of the region outside the sphere but inside the cube can be found by subtracting the area of the sphere from the area inside the cube.
216 - 105.975 = 110.025
The volume of the region outside of the sphere but inside the cube is 110.025 in </span>³