Answer:
672 ways
Step-by-step explanation:
The total number of ways the friends were supposed to sit without restrictions would have been = 6!
= 720 possible ways.
If the girs should sit on the first or last sit
The possible arrangement= 2!4!
= 2*24
= 48
But now the two girls should be arranged in such a way that the don't sit on either the first or the last chair.
So the possible way now is= way without restriction - way if the girls are to sit at either first or last sit
= 720-48
= 672
Answer: Hotdog cost $0.75
Price of soda = $0.55
Step-by-step explanation:
Let the price of hot dogs be x.
Let the price of sodas be y.
6x + 4y = 6.70 ...... i
4x + 3y = 4.65 ....... ii
Multiply equation i by 4
Multiply equation ii by 6
24x + 16y = 26.80 ........ iii
24x + 18y = 27.90 ......... iv
Subtract iii from iv
2y = 1.10
y = 1.10/2
y = $0.55
Price of soda = $0.55
From equation i,
6x + 4y = 6.70
6x + 4(0.55) = 6.70
6x + 2.20 = 6.70
6x = 6.70 - 2.20
6x = 4.50
x = 4.50/6
x = $0.75
Hotdog cost $0.75
Fraction: 16/75
Decimal: 0.21
Answer:
Fv = 79.63 lb
The total upward force Fv is 79.63 lb
Step-by-step explanation:
We need to determine the total upward force, the y component of force;
Given;
Force F1 = 60.5 lb, 82.4° above horizontal
Force F2 = 37.2 lb, (82.4-50.5)° above horizontal
The vertical component of Force F1 and F2 is;
Fv = 60.5sin(82.4) + 37.2sin(82.4-50.5)
Fv = 79.63 lb
The total upward force Fv is 79.63 lb
