Answer:
120 votes
Step-by-step explanation:
So one way to solve this is by creating an equation to solve for x.
So we are given 4/7, that will be one side of the equation.
And we are trying to figure out how many votes out of the 210 she received, so on the other side of the equation we will have x/210, since we are solving for x.
So 4/7 = x/210
We want to get x alone, so we can multiply 4/7 by 210, which equals 120.
So x equals 120!
Answer:
15. 50 kg
16a. 5 kg
16b. 3.75 kg
Step-by-step explanation:
The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².
F = ma
m = F/a . . . . . divide by a
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15. m = (250 N)/(5 m/s²) = 50 kg
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16a. m = (15 N)/(3 m/s²) = 5 kg
16b. m = (15 N)/(4 m/s²) = 3.75 kg
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<em>Comment on units</em>
Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).
Answer:
After 15 years the use of said machine is no longer profitable
Step-by-step explanation:
it should be used, as long as the money generated is not smaller as the costs generated. By setting both formulas equal (calculating the x value for when they are equal) you get x = 15 and x = -2.5(which doesnt make sense in this context).
Angle m is supplementary to the angle that is 125° degrees.
Supplementary angles mean they add up to 180°, which is a straight line.
180-125= 55.
So, angle m is 55°
I hope that helps!
