The given expression can be simplified in many ways by grouping like terms. The simplest form is obtained by factoring out a²b which gives us the following expression.
a²b(7 + 10b +14b²)
Answer:
1131 pounds.
Step-by-step explanation:
We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.
First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:


The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.


Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.



Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.
In money and weighing things
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
1748 people are expected to stop at the gift shop out of 2300.
Step-by-step explanation:
Given,
Number of random sampled people = 350
Number of people who stopped at shop = 266
Percentage = 
Percentage = 
Therefore,
76% people would stop at the gift stop.
Number of people = 2300
Expected number = 76% of total
Expected number = 
Expected number = 1748
1748 people are expected to stop at the gift shop out of 2300.