Answer:
x = -30
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 Equation</u>
0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2
- Combine like terms: -0.1x + 2 = 0.2x + 11
- Add 0.1x on both sides: 2 = 0.3x + 11
- Isolate <em>x </em>term: -9 = 0.3x
- Isolate <em>x</em>: -30 = x
- Rewrite: x = -30
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2
- Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2
- Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2
- Multiply: -22 + 27 = -7.2 + 12.2
- Add: 5 = 5
Here we see that 5 does indeed equal 5.
∴ x = -30 is the solution to the equation.
Answer:
c) Statement i) is correct
Step-by-step explanation:
Experiment designed to compare relief from hay fever symptoms, by a low or high dose of a drug or placebo, with different hay fever patient volunteers given 3 different treatments (with sufficient gap) :
If the properly randomised experiment design reveals statistical difference between treatments - It states that study concludes, treatments have significantly different impacts on hay fever symptoms, & so treatment is the cause of the difference in hay fever symptoms. (i)
However, it doesn't necessarily state that these study results can be generalized to the population of all hay fever sufferers. (ii)
Answer: 6.92 m
Step-by-step explanation:
Assuming the image is the attached below, we have a right triangle, where one of the legs is the 4 m high pole and the other leg the shadow.
Now, the tangent function is defined as:
Since the Sun is at an angle and the adjacent leg is the shadow we have:
Isolating :
This is the length of the shadow
Answer:
“He doesn't dare to get mad with Jill, for she'd take his head off in two minutes if ... “It is a forty days' job, young man, and you must make up your mind to bear it like a hero. ... “I can't go to sleep; I don't see how Jack's mother could send me anything ... “You, Merry, might do a deal at home helping mother, and setting the big ...
Step-by-step explanation: back home to the castle to the forest to the desert
81.42
= 81+ 0.42
= 81+ 42/100
= 81+ (42/2) / (100/2)
= 81+ 21/50
= 81 21/50
The final answer is 81 21/50~