Answer:
None
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>
2x < -10
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 2 on both sides: x < -5
Here we see that any value <em>x</em> smaller than -5 would work as a solution.
<u>Step 3: Identify</u>
<em>Answer choices.</em>
I. -2
II. 2
III. 10
We see that none of these numbers are less than -5. Therefore, non of the answer choices are correct.
Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = 
≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
= 
= 
( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = 
≈ 18.7 cm ( to 1 dec. place )
Answer:
x = 7
Step-by-step explanation:
-3 + 2x = 11
(group like terms)
2x = 11 + 3
2x = 14
(divide both sides by 2 to make x stand alone)
2x/2 = 14/2
x = 7
Hello there! The answer to your question is a = 4.
To solve for a in the equation -4 + 4a = 12 you want to isolate, or separate, a from all of the equation's other values.
Our first step is to add 4 to both sides so the 4 cancels out on the left side.
-4+4 + 4a = 12+4
4a = 16
Next, we divide both sides by 4 to finish isolating a.
4/4a = 16/4
a = 4
Want to verify that this is correct? Place the value we found for a (4) into the equation in place of a and if it comes out as a true statement, the answer is correct.
-4 + 4(4) = 12
-4 + 16 = 12
12 = 12
Since 12 is in fact equal to 12, i can guarantee you that i have provided you with the correct answer. I hope this helps & have a great rest of your day! :)
Ok so for the first one it’s super simple I’m gonna do it as less complicated so it can help you :)
So first we need to convert the mixed number to an improper fraction
1 4/5 = 9/5
Now we need to reduce the numbers greatest common divisor which is 3
3/5 x 6
Now multiply the numbers
Your answer is 18/5 I hoped this help
Now for the second one
this one is a little more complicated and I don’t know how to make it sound easier so I’m gonna tell you the answer which is 580/21
The last one is the same steps we did for the first one which is 27/20
I hoped this helped you it is a little difficult but you’ll get the hang of it :)
