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
B. 21,730 is not greater than 22,341.
Answer:
Isha is at an arcade. There is a base fee of $6 to enter the game room. Every game costs $0.4 or 40 cents to play. If Isha ends up spending $56 at the arcade, how many games did she play?
An explanation:
The base fee of $6 represents the constant 6 in the equation. Every game costs $0.4, which equals 2/5.
Hope this helps! If you don't like this one I might be able to think of another one :)
She divides three apple between 4 kids
Answer:
y = (x-.5)^2 -12.25
Step-by-step explanation:
first, find the vertex
x from (x,y) = -b/2a
ax^2-bx - c
1x^2-1x -12
-1/2(-1) = -1/-2 - 1/2
(1/2,y) then use x value to find y value
y = 1/2^2 - 1/2 - 12
y = .25 -.5 - 12 = -12.25
(.5,-12.25) input values into this formula:
y = a(x-h)^2 + k where h = x-value and k = y-value. use same a value = 1
y = (x-.5)^2 -12.25