5x - 11 < -11
5x < 0
x < 0
4x + 2 > 14
4x > 12
x > 3
x<0 or x > 3
Answer: Day 6
Step-by-step explanation: Every 3 days 1 pound of hay is used every day 1 pound of grain is used. There are 10 pounds of grain and 8 pounds of hay. On the 6th day there are 6 pounds of hay left and 6 pounds of grain left.
It has to do with the number of dimensions you have in the figure. For example, in a square you have 2 dimensions, length and width. Since you have only two you use units^2. In a cube, you have 3 dimensions, length, width and height, which is where you get the units^3.
Answer:
(4, 10)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties<u>
</u>
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-5y + 8x = -18
5y + 2x = 58
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: 10x = 40
- [Division Property of Equality] Divide 10 on both sides: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [Original equation]: -5y + 8(4) = -18
- Multiply: -5y + 32 = -18
- [Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
- [Division Property of Equality] Divide -5 on both sides: y = 10
<h3>
Answers:</h3>
total number of pages = 550 pages
total amount of time to read the full book = 10 hours
======================================================
Work Shown:
1 hour = 55 pages
4 hours = 220 pages ... multiply both sides by 4
After 4 hours, he had read 220 pages. Since he has 330 still left to read, this brings the total to 220+330 = 550 pages overall
550/55 = 10 hours is the total amount of time needed to read the entire book at a rate of 55 pages per hour. This is assuming the rate is kept constant.
While 10 hours is a lot, it's somewhat plausible to get the full book read in one continuous session. Though he is better off taking (short) breaks every now and then.
