Answer:
yo yo use math_way its very helpful fast and ez to use
Step-by-step explanation:
without the "_"
1) Sundaes - $2 ; Banana Splits - $3
3x + 2(x+8) = 156
3x + 2x + 16 = 156
5x = 156 - 16
5x = 140
x = 28 banana split ; x + 8 = 28 + 8 = 36 sundaes
2) Palanzio's = 6.80 + 0.90x ; Guido's = 7.30 + 0.65x
6.80 + 0.90x = 7.30 + 0.65x
0.90x - 0.65x = 7.30 - 6.80
0.25x = 0.50
x = 2 number of toppings.
6.80 + 0.90x = 7.30 + 0.65x
6.80 + 0.90(2) = 7.30 + 0.65(2)
6.80 + 1.80 = 7.30 + 1.30
8.60 = 8.60
3) 6x - y = 4 ; y = 4x + 2
6x - (4x+2) = 4
6x - 4x - 2 = 4
2x = 4 + 2
2x = 6
x = 6/2
x = 3
y = 4x + 2
y = 4(3) + 2
y = 12 + 2
y = 14
6x - y = 4
6(3) - 14 = 4
18 - 14 = 4
4 = 4
Answer:
The volume of the cone is 42.6 m^3
Step-by-step explanation:
The volume of a cone is given by the area of the base multiplied by the height of the cone and divided by three. The base is a circle, so it's area is computed by the following:
Abase = pi(r^2) = 3.14(2.2^2) = 15.2 m^2
We can then compute the volume of the cone that is:
Vcone = Abase*h/3 = 15.2*8.4/3 = 42.56 m^3
The volume of the cone is 42.6 m^3
The answer is D because a proportional relationship on a graph would start on (0,0), so A and B cannot be the right answer. On answer C, the relationship starts as 4x=y but changes, so this cannot be a proportional relationship because the relationship needs to be constant. Answer D is the right answer because the proportional relationship remains constant (1.5x=y).
Answer:
The number is 59/5 or 11.8 (decimal)
Step-by-step explanation:
This sentence can be written as 5(x-6)=29
x-6 = 29/5
x = 29/5 + 6
x = 59/5 or x = 11.8
