Answer:
x = 1/2
Step-by-step explanation:
8(-2x+1) =0
Divide each side by 8
-2x+1 = 0
Add 2x to each side
-2x+1+2x = 2x
1 = 2x
Divide by 2
1/2 = 2x/2
1/2 =x
If the side length is greater than 11.11 cm then it will not overflow.
Otherwise, it will overflow.
If Joe tips the bucket of water in a cuboid container and the water is not overflowing then the cuboid container must be of volume greater than 1370 cm³.
We find the cube root of 1370 cm³.
![\sqrt[3]{1370} \approx11.11](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1370%7D%20%5Capprox11.11)
Then the cuboid container should have a side of length greater than 11.11 cm.
Here the statement "If I tip my bucket of water in the cuboid container, it will never overflow" is correct or wrong based on the information that the container has a side length lesser or greater than 11.11 cm.
If the side length is greater than 11.11 cm then it will not overflow.
Otherwise, it will overflow.
Learn more about volume here-
brainly.com/question/1578538
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Answer: The area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.
Step-by-step explanation:
I will assume that the exercise says "
times the base and height of Jerry’s rhombus".
The area of a rhombus can be calculated with the following formula:

Where "b" is the length of the base and "a" is the altitude or the height.
Then, you can calculate the area using the formula shown above.
Therefore, you get:
1. Jerry's rhombus:

2. Charlene's rhombus:

Dividing the area calculated, you get:

Therefore, you can conclude that the area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.
Answer:
y > 1/3 x - 3
Step-by-step explanation:
First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).
Find the change of y over the change of x to get the slope of the line.
(-2 - (-3))/(3 - 0) = 1/3
Since the line intercepts the y axis at (0, -3), the equation of the line would be
y = 1/3x - 3
We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents
<u>y > 1/3 x - 3</u>
Yes and second no it is not