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.
Answer:
14
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
I am guess this prism is a rectangle
So 3 times 7 times 5 is 105
Thus the answer is 105
Hope this helps!
Givens
y = 2
x = 1
z(the hypotenuse) = √(2^2 + 1^2) = √5
Cos(u) = x value / hypotenuse = 1/√5
Sin(u) = y value / hypotenuse = 2/√5
Solve for sin2u
Sin(2u) = 2*sin(u)*cos(u)
Sin(2u) = 2(
) = 4/5
Solve for cos(2u)
cos(2u) = - sqrt(1 - sin^2(2u))
Cos(2u) = - sqrt(1 - (4/5)^2 )
Cos(2u) = -sqrt(1 - 16/25)
cos(2u) = -sqrt(9/25)
cos(2u) = -3/5
Solve for Tan(2u)
tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3
Notes
One: Notice that you would normally rationalize the denominator, but you don't have to in this case. The formulas are such that they perform the rationalizations themselves.
Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)
Three: If you are uncomfortable with the tan, you could do fractions.

Answer:
25 x 4 = 100
25 = late fee
4 = times payment missed
100= total money owed / total money returned
Step-by-step explanation: