Answer:
This is a geometry sequence (I.e each term is found by multiplying the same value to the previous term).
T1 = 4
T2 = -12 = T1 X (-3) = 4 X (-3)
T3 = 36 = T2 X (-3) = 4 X (-3)^2
T4 = 108 = T3 X (-3) = 4 X (-3)^3
The general (explicit) formula for the n-th term of this sequence is:
S(n) = 4 X (-3)^(n-1)
Answer:
one glass of milk = 15 carbs
one bar = 14 carbs
Step-by-step explanation:
let 'm' = one glass of milk
let 'b' = one snack bar
system of equations:
2m + 3b = 72
4m + 2b = 88
I used the elimination method and multiplied the 1st equation by -2
-4m - 6b = -144
+ <u>4m + 2b = 88</u>
-4b = -56
b = 14
now solve for 'm'
2m + 3(14) = 72
2m + 42 = 72
2m = 30
m = 15
Method 1: In order to find out the area of an octagon with a radius of 4 feet, we have to split the whole figure into 8 equal isosceles triangles.
Therefore,
We will find out the area of one triangle and multiply the area with 8 to, figure out the area of the whole octagon there are 8 similar triangles and all of them will have the same area.
Method 2: From method 1, it would take time as there are too much of calculation, therefore we would go for the shortcut using the formula:
Area = 2√2 × r²
where r<span> is the radius of the octagon.
Substituting the values,
We get:
</span>
Area = 2√2 × 4²
Area = 2√2 × 16
Area = 2× 1.41 × 16
Area = 2.828 × 16
Area = 45.25
Rounded to the nearest tenth:
Area = 45.3 ft²
X songs
Y games
A) 8X + 3Y = 20.50
B) 4X + 5Y = 22.50
Multiplying equation B) by -2
B) -8X -10Y = -45.00 then adding this to
A) 8X + 3Y = 20.50 we get
-7Y = -24.50
Y = 3.50
I think you can calculate X right?
Answer:
Step-by-step explanation:
SP = CP + markup
- 155 + 30% =
- 155*1.3 =
- 201.50