Answer: The cost of a movie ticket is $9
and that of snacks is $2
Step-by-step explanation:
Let Movie tickets price be denoted by x
and snacks price be denoted by y
Given :2x+ 3y =24 ..........[1]
3x+4y= 35.............[2]
Multiplying [1] by 3
and [2] by 2
6x +9y =72.........[3]
6x+ 8y=70.........[4]
Subtracting [4] from [3]
6x +9y -6x -8y =72 -70
y=2
Putting the value of y in [2]
3x +4*2=35
3x+8 =35
subtracting 8 both sides
3x +8 -8 =35-8
3x= 27
Dividing both sides by 3
x=9
∴ The value of a movie ticket is $9
and that of snacks is $2
It is very straight forward, the answer is 434:1080
Yes that line passes through those points.
There is no picture, but here are the directions to finding the surface area.
1. Find the area of the square(A = bh) and remember that the base and the height will be the same on a square).
2. Find the area of one of the triangular faces (A = 1/2bh), where the base would also be the length of the side of the square and the height the lateral height of the triangular face).
3. Multiply your answer from 2 by 4 because there are 4 of these.
4. Add you answers for #3 and #1 to get the total surface area.
Write their age ratio
E : F : G = 9 : 13 : 18
From the ratio above, we know that the sum of the ratio is
9 + 13 + 18 = 40
Count their money
For Eli, the ratio is 9
Eli's money = Eli's ratio/the sum of ratio × the sum of money
Eli's money = 9/40 × 800
Eli's money = 180
For Freda, the ratio is 13
Freda's money = Freda's ratio/the sum of ratio × the sum of money
Freda's money = 13/40 × 800
Freda's money = 260
For Geoff, the ratio is 18
Geoff's money = Geoff's ratio/the sum of ratio × the sum of money
Geoff's money = 18/40 × 800
Geoff's money = 360
So the answer:
Eli = £180
Freda = £260
Geoff = £360