297/11 = 27
So we have 27 groups of 11 students. If there are 2 chaperones for every 11 students, then we can do:
27x2=54
There are 54 chaperones on the field trip.
B, D, and E
The absolute value of -37 is 37.
The absolute value of 37 is also 37.
When you distribute the negative in the parenthesis the -37 becomes positive.
Answer:
in total she spent 10900
Step-by-step explanation:
We know she made a down payment of 2500 dollars and she agreed to pay the balance in 24 monthly installments of 350 dollars. Thus we can do simple multiplying of 24 x 350 which gives us 8400. We also need to add in her down payment which is 2500 so in total we got 10900
Answer:
See below
Step-by-step explanation:
32. w + 5 = -20
w = -20 - 5
w = - 25
33. x - 17 = -32
x = -32 + 17
x = - 15
34. t + 7.2 = 1.65
t = 1.65 - 7.2
t = - 5.55
35. -0.4 = g - 4.9
g = - 0.4 + 4.9
g = 4.5
36. y - 2/5 = 1 3/5
y = 1 3/5 + 2/5
y = 1 5/5 or 2
37. -5 1/6 = 2 1/3 + p
p = - 5 1/6 - 2 1/3 convert 1/3 to x/6 for a common denominator
1/3 converts to 2/6
p = -5 1/6 - 2 2/6
p = - 7 3/6 or - 7 1/2
38. You were given that
Simone = $65.35 + Dan
Simone = Carly - 37.50
Carly = 127.75
So Simone = 127.75 - 37.50 = 90.25
Simone = 65.35 + Dan or Dan = Simone - 65.35
Dan = 90.25 - 65.35 = 24.90
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms
= - 0.6(x² - 7x) + 240
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 7x
f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240
= - 0.6 (x - 3.5)² + 7.35 + 240
= - 0.6(x - 3.5)² + 247.35
with vertex = (3.5, 247.35 )
The maximum value is the y- coordinate of the vertex
Then
f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35
