Answer:
183.6
Step-by-step explanation:
51÷5=10.2 10.2×18=183.6
To solve this problem we need to know the equivalence between yards and inches, that is:
1 yd = 36 inches
Therefore in 8 yd we have:
8(36) = 288
so in 8 yd we have 288 inches
So 8 yd is equal to 288 in
Answer:
120 m^2
Step-by-step explanation:
Length of the room = 10 m
Breadth of the room = 12 m
We know that, Area = Length * Breadth
Hence,
Total Area of carpet needed to cover the floor of the room = 12 * 10 = 120 m^2
Answer:
x = 6
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 - 2x = -1.5x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 3 = 0.5x
- Divide 0.5 on both sides: 6 = x
- Rewrite: x = 6
<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 - 2(6) = -1.5(6)
- Multiply: 3 - 12 = -9
- Subtract: -9 = -9
Here we see that -9 does indeed equal -9.
∴ x = 6 is the solution to the equation.
ANSWER

EXPLANATION
The given function is a piecewise defined function.

is the y-value that corresponds to

To determine that y-value, we need to trace from

to where it meets the graph.
We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.
From the graph, we can see that this x-value corresponds to a y-value of

This implies that, when

Therefore

See graph.