Your answer will be twelve and nine thousandths because in place value decimals are like tenths, hundredths, thousandths. In place value for regular numbers are ones, tens, hundreds and so on. So, when you have 12.009, you are going to separate the decimals with the numbers. Then, write down the number in words which would be twelve. Now, go to the decimal and write that down, which is 9 thousandths. Finally, combine the both of them to get: twelve and nine thousandths.
Hope this helps :)
and good luck
Given:
One linear function represented by the table.
Another linear function represented by the graph.
To find:
The greater unit rate and greater y-intercept.
Solution:
Formula for slope (unit rate):
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.
![m_1=\dfrac{15-5}{5-0}](https://tex.z-dn.net/?f=m_1%3D%5Cdfrac%7B15-5%7D%7B5-0%7D)
![m_1=\dfrac{10}{5}](https://tex.z-dn.net/?f=m_1%3D%5Cdfrac%7B10%7D%7B5%7D)
![m_1=2](https://tex.z-dn.net/?f=m_1%3D2)
So, the unit rate of first function is 2.
From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.
![m_2=\dfrac{0-6}{-4-0}](https://tex.z-dn.net/?f=m_2%3D%5Cdfrac%7B0-6%7D%7B-4-0%7D)
![m_2=\dfrac{-6}{-4}](https://tex.z-dn.net/?f=m_2%3D%5Cdfrac%7B-6%7D%7B-4%7D)
![m_2=\dfrac{3}{2}](https://tex.z-dn.net/?f=m_2%3D%5Cdfrac%7B3%7D%7B2%7D)
So, the unit rate of first function is
.
Now,
![2>\dfrac{3}{2}](https://tex.z-dn.net/?f=2%3E%5Cdfrac%7B3%7D%7B2%7D)
![m_1>m_2](https://tex.z-dn.net/?f=m_1%3Em_2)
And,
![15>6](https://tex.z-dn.net/?f=15%3E6)
Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.
Let width = x
let length = 2x
x + 2x = 450
3x = 450
x = 150
width = 150
length = 2x = 2 (150) = 300
Question - Answer
a) 1/2 L = 4
b) 1/2 L x 4 = 2
c) 5/6 x 2 = 1 4/6 L OR 1.67 L
d) 2/3 L = 3 beakers with 2/3 OR 5 beakers with 2/3 and 5/6
e) <1/3 L = 3 beakers
I believe that is the answer.