F(x) = -2x -1
or
y = -2x-1
Answer:
1/38 of Kelly's beads are blue.
Step-by-step explanation:
four eighths = 1/2 or 1 half
1/2 of them are red.
18 white beads, so number of red beads have to be bigger than 18 since she has blue beads too.
So, we can just estimate she has just one blue bead so then the 18 whites become 19 so we need to make red beads the same amount as it is half of the total.
The total is 38 since 19 + 19 = 38 (total beads)
So, blue is 1/38 as a fraction.
Hope this helps. :)
Number of child tickets: x
Number of adult tickets: y
1) x+y=370
2) 3x+7y=1750
Using the method of substitution
a) Isolating y in the first equation:
1) x+y=370→x+y-x=370-x→y=370-x
b) Replacing y=370-x in the second equation:
2) 3x+7y=1750→3x+7(370-x)=1750
c) Solving for x: Distributive property:
3x+7(370)-7x=1750
3x+2590-7x=1750
Adding similar terms:
-4x+2590=1750
-4x+2590-2590=1750-2590
-4x=-840
Dividing both sides of the equation by -4:
-4x/(-4)=-840/(-4)
x=210
Replacing x=210 in the first equation:
1) y=370-x→y=370-210→y=160
Answer:
The number of child tickets was 210 and
the number of adult tickets was 160
Answer:
24 unit
Step-by-step explanation:
Given,
The vertices of the triangle ABC are,
A (1,1), B (7,1), and C (1,9),
By the distance formula,
Thus, the perimeter of the triangle ABC = AB + BC + CA = 6 + 10 + 8 = 24 unit
Answer:
50√3 ≈ 86.6 m
Step-by-step explanation:
The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.
The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...
Sin = Opposite/Hypotenuse
sin(60°) = (kite height)/(100 m)
kite height = (100 m)·sin(60°) = (100 m)(√3)/2
kite height = 50√3 m ≈ 86.6 m
