Step-by-step explanation:
f(x)=3x−2 so when the variable x is replace with an actual value ( − 1 ) we get f(−1)=3(−1)−2
=−3−2
=−5
Answer: 384
There are 384 smoke free rooms.
Once we find what x and y is, that's where they intercept and we can write that as an ordered pair as (x,y)
Now we need to find what y is. So let's put x into the original first equation
3x+4y=16
3(4)+4y=16
12+4y=16 ---Subtract 12 from both sides
4y=4 ---Divide both sides by 4
y=1
Alright, so our ordered pair is (4,1)
The weight of a shipment of 2560 balls weighs 320 pounds.
<h3>
How much would a shipment of 2560 tennis balls weigh?</h3>
We know that 24 tennis balls weigh 3 pounds. Then the weight of a single tennis ball is:
W = (3 lb)/(24 balls) = (1/8) pounds per ball.
To get the weight of 2560 tennis balls, we just need to multiply the number of tennis balls by the weight of a single ball, then we get:
Total weight = 2560*(1/8) pounds per ball = 320 pounds.
The weight of a shipment of 2560 balls weighs 320 pounds.
If you want to learn more about weight:
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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
