4(b - 6) + 19 # Starting equation
4b - 24 + 19 # Using the distributive property
4b - 5 # Simplified expression
Answer: £1517.04
Step-by-step explanation:
The fuel expenses for the vans will be calculated as:
Vans:
Since the average distance travelled per day is 198km and the average distance travelled per litre is 9km, the van would use:
= 198/9
= 22 litres
Since there are 8 vans, they'll use:
= 22 × 8 = 176 liters
Trucks:
Since the average distance travelled per day is 620km and the average distance travelled per litre is 6.2km, the truck would use:
= 620/6.2
= 100
Since there are 10 trucks, they'll use:
= 100 × 10 = 1000 liters
The amount of liters for both the van and the truck will be:
= 176 liters + 1000 liters
= 1176 liters
The fuel cost will then be:
= 1176 × 1£1.29
= £1517.04
(560+48x)/x. After owning the washing machine for x years, with operating cost of $48 each year, the total amount of operating cost is 48x. We should also add the one-time cost of buying the washing machine, which is $560. The total cost is 560+48x. Since x years have past, the average annual cost is (560+48x)/x, or 48+560/x dollars.
Answer:
1. n=2
2. n=12
3. n=2
Step-by-step explanation:
1
12xy³/4xⁿy=3y²/x
12x²y³=12y³xⁿ (cross multiplied)
x²=xⁿ (cancelled out (12y³))
2=n
2
(-3a/2b⁴)³=-27a³/8bⁿ
-27a³/8b¹²=-27a³/8bⁿ (cubed left side)
-216a³bⁿ =-216a³b¹² (cross multiplied)
bⁿ=b¹² (cancelled out (-216a³))
n=12
3
(xy⁶/x⁵yⁿ)²=y⁸/x⁸
x²y¹²/x¹⁰y²ⁿ=y⁸/x⁸ (squared left side)
x²y¹²/x¹⁰y²yⁿ=y⁸/x⁸
y¹⁰/x⁸yⁿ=y⁸/x⁸ (simplified)
y¹⁰x⁸=x⁸yⁿy⁸ (cross multiplied)
y²=yⁿ (cancelled out (x⁸), simplified)
n=2
Answer:
93
Step-by-step explanation:
we have:
82+9(12/3*2)-7
82+9(12/6)-7
82+9(2)-7
82+18-7
93
