Answer:
4/3<x<7
Step-by-step explanation:
Given the inequalities
3 < 3 x − 1 < 2 x + 6
Add 1 to all sides
3+1 < 3x-1+1<2x+6+1
4 < 3x < 2x + 7
Split
4 < 3x
3x > 4
x > 4/3
4/3 <x
Also
3x < 2x + 7
3x-2x < 7
x <7
Combine
4/3<x<7
Hence the required solution is 4/3<x<7
Answer:
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Step-by-step explanation:
Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
Answer:
y = 4x.
Step-by-step explanation:
Each value of y is 4 times the value of x.
Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.
The volume of a <u>rectangular prism of length l, width w and height h</u> is given by:
In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:
- The length is of 102' 6''(102 feet and 6 inches), hence
.
- The width is of 5' 4'', hence
.
- The depth(height) is of 3' 3'', hence
.
Then:
The volume that was removed is 1776 cubic feet.
To learn more about the volume of rectangular prisms, you can take a look at brainly.com/question/17223528
