Step-by-step explanation:
4y
4 (5)
4×5
20
y=20
Hope its helpfulllll
Answer:
C. 6
Step-by-step explanation:
to divide by a fraction multiply by the recirpocal of that fraction.
8/3 ÷ 9/4
reduce the numbers with GCF 4 which equals 2/3 x 9
reduce the numbers with GCF 3 which equals 2x3= 6
Answer:

Step-by-step explanation:
Consider irght triangle PRS. By the Pythagorean theorem,

Thus,

Consider isosceles triangle MSC. In this triangle

The area of this triangle is

Consider right triangle PTS. The area of this triangle is

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

Answer:
y = 9
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Answer:
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 Equation</u>
3(4x - 5) - 4x + 1 = -6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 12x - 15 - 4x + 1 = -6
- Combine like terms: 8x - 14 = -6
- Isolate <em>x</em> term: 8x = 8
- Isolate <em>x</em>: x = 1
<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>: 3(4(1) - 5) - 4(1) + 1 = -6
- Multiply: 3(4 - 5) - 4 + 1 = -6
- Subtract: 3(-1) - 4 + 1 = -6
- Multiply: -3 - 4 + 1 = -6
- Subtract: -7 + 1 = -6
- Add: -6 = -6
Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.