A represents a linear function
Answer:
Step-by-step explanation:
k = 6x + 100
x = -5
k = 6(-5) + 100
k = -30 + 100
k = 70
Answer:
A 404 mi
Step-by-step explanation:
If we designate the points of the triangle A, B, and C for the locations of the western station, eastern station, and balloon, respectively, we have the following:
∠CAB = 90° - 41° = 49°
∠CBA = 90° + 21° = 111°
∠ACB = 41° -21° = 20°
side "c" (opposite ∠ACB) is 148 miles
The distance we're asked to find is AC = b, the longest side of the triangle. The law of sines tells us ...
b/sin(B) = c/sin(C)
b = c·sin(B)/sin(C) = (148 mi)·sin(111°)/sin(20°) ≈ 403.98 mi ≈ 404 mi
R = red beads
G = green beads
B = blue beads
Given:
R/2 = G/3 = B/7
B = R + 150
How many reds?
R/2 = (R+150)/7
7*R/2 = R + 150
7*R = 2*R + 300
5*R = 300
R = 60
How many blue?
B = R + 150
B = 210
How many green?
G/3 = R/2
G/3 = 60/2
G/3 = 30
G = 90
How many total?
Total = R+G+B
Total = 60+90+210
Total = 360
The first picture about the rational numbers I am not sure the answer.
In the second picture the set that are all equivalent to the fraction is the second set.
In the third picture
the equivalent expression is the first one.
In the fourth picture the correct situation is the first one about buying popcorn.
Hope this helps a little, sorry I could not help more.
