Answer:
x = 4
Step-by-step explanation:
Vertical angles are equal.
m∠1 = m∠2
10x - 9 = 4x + 15
Add 9 to both sides
10x = 4x + 15 + 9
10x = 4x + 24
Subtract 4x from both sides
10x -4x = 24
6x = 24
Divide both sides by 6
x = 24/6
x = 4
Okay so since we have $389.42 to start with, we will multiply that by 3.2% which gives us roughly $12.46. Knowing that he will get an additional $12.46 per year, we multiply 12.46 by 7, giving us $87.22. Now, we just add 87.22 to 389.42, which is 476.64. Therefore, Armand has $476.64 as his account after 7 years.
Answer:
It weighs 40 pounds on mars
Step-by-step explanation:
Direct proportion is the relationship between two variables when their ratio is equal to a constant value
- It can be expressed as y = k x, where y varies directly as x and k is constant of variation
- It can be expressed as
∵ The weight of an object on mars varies directly as the weight
of the object on earth
∴ w(m) = k × w(e)
∵ The weight of the object on earth is 75 pound
∴ w(e) = 75
∵ The weight of this object on mars is 25 pounds
∴ w(m) = 25
- Substitute them in the equation of variation
∵ 25 = k × 75
- Divide both sides by 75
∴ = k
∴ w(m) = × w(e)
∵ An object weighs 120 pounds on earth
∴ w(e) = 120
- Substitute it in the equation of variation
∴ w(m) = × 120
∴ w(m) = 40
∴ It weighs 40 pounds on mars
Answer:
Step-by-step explanation:
Discount = 45 - 38.20 = $ 6.80
Discount % =
=
= 15.11 %
Percentage of savings = 15.11%
Answer:
-256 +64 - 16 + 4 - 1
Step-by-step explanation:
A series is the summation of all the terms in a sequence.
So it is only the last three options that qualify to be a series.
The series 2 +5 + 8 + 11 + 14 + 17 has no common ratio. It is not geometric.
The series 1+1+2+3+5+ 8 +13 +21 also has no common ratio. It is not geometric.
The series -256 +64 - 16 + 4 - 1 has a common ratio of
There the only series that is geometric is.
-256 +64 - 16 + 4 - 1