Answer: 1 2/3
Step-by-step explanation:
The expression to find the perimeter of a rectangle is 2(length + width)
Length = 1/3
Width = 1/2
Perimeter = 2( 1/3 + 1/2)
Lowest common factor = 6
Perimeter = 2 [ (2 + 3) / 6]
Perimeter = 2 [ 5/6]
Perimeter = 10/6
Perimeter = 1 4/6 = 1 2/3
<u>Given</u><u> </u><u>:</u><u>-</u>
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The input when output is 21 .
<u>Answer </u><u>:</u><u>-</u>
The given function is ,
Substitute f(x) = 21 ,
- 21 = 2x + 5
- 21 - 5 = 2x
- 16 = 2x
- 16/2=x
- x = 8
Answer:
Option B
Step-by-step explanation:
We are given the following system of equations -

Now by Cramer's Rule, we would first write down the matrix of the coefficients , replacing each column with the answer column -
,

Replace each column of the coefficients shown at the top, with the answer column at the bottom respectively -

Now solve through Cramer's Rule -
x = Dx / D = - 6,
y = Dy / D = - 1,
z = Dz / D = 1
<u><em>Solution = ( - 6, - 1, 1 ) = Option B</em></u>
Answer:

Step-by-step explanation:
V = volume
r = rate
t = time
Use formula
connecting volume, rate and time.
In your case,
cup of water
hours
r is unknown.
Substitute all data into the formula:
![\dfrac{1}{4}=r\cdot 1\dfrac{1}{2}\\ \\\dfrac{1}{4}=r\cdot \dfrac{3}{2}\\ \\2\cdot \dfrac{1}{4}=3r\ [\text{Multipled by 2}]\\ \\3r=\dfrac{1}{2}\\ \\r=\dfrac{\frac{1}{2}}{3}\ [\text{Divided by 3}]\\ \\r=\dfrac{1}{6}\ \text{cups per hour}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%201%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%20%5Cdfrac%7B3%7D%7B2%7D%5C%5C%20%5C%5C2%5Ccdot%20%5Cdfrac%7B1%7D%7B4%7D%3D3r%5C%20%5B%5Ctext%7BMultipled%20by%202%7D%5D%5C%5C%20%5C%5C3r%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B3%7D%5C%20%5B%5Ctext%7BDivided%20by%203%7D%5D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B1%7D%7B6%7D%5C%20%5Ctext%7Bcups%20per%20hour%7D)