Answer:
800 pounds.
Step-by-step explanation:
We have been given that an object that weighs 24 pounds on Mercury weighs approximately 80 pounds on Earth. A rock weighs 240 pounds on Mercury. We are asked to find the weight of rock on Earth.
We will use proportions to solve our given problem as proportions state that the ratio between two proportional quantities is equal.
Upon substituting our given value, we will get:
Therefore, the weight of rock on Earth would be approximately 800 pounds.
Answer:
y = -x + 5
y = x/2 + 3/2
Step-by-step explanation:
First we calculate the slope as difference between coordinates
a) P₁ ( -1 , 6 ) P₂ ( 3 , 2 )
m = Δy/Δx ⇒ m = ( y₂ - y₁ ) / ( x₂ - x₁ ) ⇒ m = (2 -6 ) / (3 -(-1))
m = -4 /4
m = -1
Now we have:
y - y₁ = m ( x - x₁ ) ⇒ y - 6 = (-1) ( x - (-1))
y - 6 = -1 * ( x + 1 ) ⇒ y - 6 = - x - 1
y = -x + 5
In the second case
Q₁ ( -3 , 0 ) Q₂ ( 5 , 4 )
Again we calculate the slope
m = Δy / Δx ⇒ m = ( 4 - 0 ) / ( 5 - (-3)) ⇒ m = 4 / 8 ⇒ m = 1/2
m = 1/2 or x = 0,5
And
y - y₁ = 1/2 ( x - x₁ ) ⇒ y - y₁ = 1/2 ( x - (-3)) ⇒ y - 0 = 1/2 * x + 3/2
y = x/2 + 3/2
Answer: B, C, and E
Step-by-step explanation:
B and C are the same thing. And E will also work.
A will get you in the right quadrant, but the shape is wrong.
D will just get you back into the place you origianlly started at.
The given equation is in point-slope form.
The general form of an equation in point slope form is:
Here m is the slope and
and
are the coordinates of the point.
So in given equation the slope is 2/3, and the coordinates of point are (1,3)
Answer:
D. $67.50
Step-by-step explanation:
A ticket costs $5.25, a drink costs $2.00, and a popcorn costs 4.00. Each person in the group buys all of these. So we know that each person is paying:
4.00 + 2.00 + 5.25 = 11.25
Since there are 6 people in the group we can multiply that by 6:
11.25 * 6 = 67.50
