Answer:
7. r = -5
8. x = -1
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>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
Answer: A. y = 16 x
B. 8 days
Step-by-step explanation:
A) Here, 16 Fluid ounces of milk is used for breakfast every morning.
In one day the consumption of milk = 16 fluid ounces
In x days the consumption of milk = 16 x fluid ounces
Thus, if y be the total milk in ounces that is used in x days,
The required function,
y = 16 x
B) In 1 day, consumption of milk = 16 ounces
⇒ 
⇒ 
⇒ 
Since, 128 ounces = 1 gallon
⇒ 
In 8 days, 1 gallon of milk will consumed.
Answer:
The margin of error is 3.465
Step-by-step explanation:
Margin of error = t × sd/√n
n = 92, degree of freedom = n - 1 = 92 - 1 = 91, t-value corresponding to 91 degrees of freedom and 90% confidence level is 1.6618, sd = 20
Margin of error = 1.6618×20/√92 = 33.236/9.592 = 3.465
Answer:
Step-by-step explanatiion:
-8/3=-2.67
Number less -2.7 are
-2.8; -2.9; -3.0; and so on
Answer:
√5
Step-by-step explanation:
