Break up chain with AND statement:
(2/3)t - 1 < t + 7 AND <span>t + 7 ≤ -2t + 15
left side, we solve for t
</span>
<span>(2/3)t - 1 < t + 7
(2/3)t - t < 7 + 1
(-1/3)t < 8
t > -24
right side, we solve for t</span>
<span>t + 7 ≤ -2t + 15
t + 2t </span><span>≤ 15 - 7
3t </span><span>≤ 8
t </span><span>≤ 8/3
So our answer would be </span>
t > -24 AND t <span>≤ 8/3
as an interval, this is
</span>-24 < t <span>≤ 8/3
or in interval notation
(-24, 8/3]</span>
Given:
Item time
shirt 26.1 seconds
sweater 24.3 seconds
pants 32.8 seconds
scarf 18.2 seconds
Add up all the time in seconds:
26.1 + 24.3 + 32.8 + 18.2 = 101.4
divide the sum by the 4 items:
101.4 / 4 = 25.35 seconds
The average time Janette took to fold and put away all 4 items is 25.35 seconds.
the inequality is: 7x + 4y < 40
as 7x (for $7 multiplied by the amount of wing orders) and 4y(for $4 multiplied by the amount of nacho orders)
Answer:
y = 0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
8y + 11 = 6y + 11
<u>Step 2: Solve for </u><em><u>y</u></em>
- Subtract 6y on both sides: 2y + 11 = 11
- Subtract 11 on both sides: 2y = 0
- Divide 2 on both sides: y = 0
