The ratio would be 4:2. In simplest form, it would be 2:1. The meaning is that since there are 4 flutes, the first ratio number would be 4. Same with the 2 drums. How you would simplify it is that you have to minus it down. Since 2 can go into 4, the logical answer would have to be 2:1
Well for this you have to do 4 1/8 - 2 3/8. You cannot subtract 1 - 3, so you have to take away 1 from three and add 8 to 1 so now the equation is 3 9/8 - 2 3/8. This is equal to 1 6/8 or 1 3/4, so no, she did not use 2 2/8 yards of fabric.
Given expression: 1/4 (16-12x).
Solution: We can see that 1/4 is in front of paranthesis.
That represents multiplication of 1/4 with (16-12x)
In order to 1/4 with (16-12x), we need to distribute 1/4 over (16-12x).
On distributing 1/4 over (16-12x), we get
1/4 (16-2x) = 1/4 * 16 + 1/4 * (-12x).
On multiplying 1/4*16, we get 16/4 and 1/4 * (-12x) = -12x/4.
16/4 could be simplify to 4 and -12x/4 could be simplify to -3x.
So, final answer would be 4 - 3x.
Therefore, second option is our correct option, that is 4 - 3x.
Answer:
Option C. 3
Step-by-step explanation:
Let M1 be the slope of the red line
Let M2 be the slope of the green line
From the question:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
The slopes of perpendicular lines are related as follow:
M1 = –1 / M2
With the above formula, the slope of the green line (M2) can be obtained as illustrated below:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
M1 = –1 / M2
– 1/3 = –1 / M2
Cross multiply
– 1 × M2 = – 1 × 3
– 1 × M2 = – 3
Divide both side by –1
M2 = – 3/ –1
M2= 3
Therefore, the slope of the green line is 3.
We are asked to solve for the final velocity (Vf) such that we are given with the acceleration value, initial velocity and duration or time. To solve this, we need the formula below:
Vf = Vi + at where "Vf" represents the final velocity, "Vi" represents the initial velocity, "a" represents the acceleration and "t" represents the time
The solution is shown below:
Vf = Vi + at, substitute the values such as:
Vf = 20m/s + (1.5m/s²)*(4s) , peform multiplication
Vf = 20 + 6 , perform addition of 20 and 6
Vf = 26 meter / second
The answer is 26 meters/second for the final velocity.