Answer:
1 3/4 = 7/4 = 1.75
Step-by-step explanation:
The process to arrive to the solution is explained in the pictures below.
Tyler needed to convert the mixed fraction
2 1/2 = (4+1)/2 = 5/2
If we multiply by 2 numerator and denominator
5*2/2*2 = 10/4
We substract
10/4 - 3/4 = 7/4 = 1.75
Left down, or “Starting at the origin, go 4 spaces to the right and then 1and1/2 spaces up.” This would bring you to the point (4,1and1/2)
Answer:
<em>The actual width of the hair is 20 / 150 = 0.13 mm</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling in several applications of real-life.
The human hair is magnified 150 times by a micro-phtograph. This is the scale factor.
The hair can be seen 2 cm wide in the photograph.
Converting to millimeters, 2 cm = 2*10 = 20 millimeters.
The actual width of the hair is 20 / 150 = 0.13 mm
Answer:
x = -9/5
y = 16/5
Step-by-step explanation:
-3x-2y=-1 first you need to multiply the numerator by 3 so when adding
4x+6y=12 the y's cancel and you get a single variable
3(-3x-2y=-1) —> -9x - 6y = -3 then you add the like terms
4x+6y=12 —> 4x + 6y = 12
(-9x+4x) + (6y - 6y) = (-3 + 12)
-5x = 9 then you divide by -5
x = -9/5
then you plug this in to either equation
4(-9/5) + 6y = 12
-36/5 + 6y = 12 then you add 36/5 to both sides
6y = 96/5 then you divide by 6
y = 16/5
