Answer:
16.4% increase
Step-by-step explanation:
284-244= 40
40/244= 0.1639
0.1639 × 100= 16.4%
Lets assume the whole pie is 1, that is all fractions added together have to sum 1.
If Victor eats 1/6 out of 5/6, then the rest is 4/6 of the pie, that is the subtraction of those fractions.
<span>The table to represent a linear function with a rate of change of +5
</span>
so, m = 13 + 5 = 18
The correct answer is option 3 ⇒ <span>m = 18
</span>
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another solution :
The table represents a linear function
the general equation of the linear function is ⇒ y = ax+b
where a is the slope and b is constant
By using the first and the third points from table to find the equation of the linear function
at x = 3 ⇒ y = 13 and at x = 5 ⇒ y = 23
∴ 13 = 3a+b → (1)
23 = 5a+b → (2)
solve (1) and (2) to find a and b
So, a = 5 and b = -2
∴ y = 5x - 2
After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18
∴ m = 18
<span></span>
Answer:
z = -9
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Define</u>
-21 = z - (-6 - 2z)
<u>Step 2: Solve for </u><u><em>z</em></u>
- Distribute negative: -21 = z + 6 + 2z
- Combine like terms: -21 = 3z + 6
- Isolate <em>z</em> term: -27 = 3z
- Isolate <em>z</em>: -9 = z
- Rewrite: z = -9
Since the table has 8 sides that all have the same length then multiply 4 by 8 so the answer is 32
