The total cost of the trip can be found by adding these components: Entrance fee per student: $5(29) Lunch costs: $4(29 + 6) Bus fees: $25 + 8($2 + $3) Total cost: 5(29) + 4(35) + 25 + 8(5) Which of these are equivalent expressions of the total cost that use the properties of operations to simplify the math? 5(15 + 14) + 4(31 + 4) + 25 + 40 5(20 + 9) + 4(30 +5) + 25 + 40 5(17 + 12) + 4(33 + 2) + 25 + 40 5(19 + 10) + 4(34 + 1) + 25 + 40

Given:

Entrance fee per student: $5(29)

Lunch costs: $4(29 + 6)

Bus fees: $25 + 8($2 + $3)

Total cost: 5(29) + 4(35) + 25 + 8(5)

To find:

The equivalent expressions of the total cost that use the properties of operations to simplify the math.

Solution:

We have,

Total cost = 5(29) + 4(35) + 25 + 8(5)

To simply this expression, we need to write 29 and 35 in the expand form or as the sum of their place values because it is easy to multiply a number with multiply of 10 and single digit.

Total cost = 5(20+9) + 4(30+5) + 25 + 40

Therefore, the correct option is B.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.