9514 1404 393
Answer:
32 feet
Step-by-step explanation:
The width of the doll house is 8/10 of the length of the doll house, so the actual house will have a width that is 8/10 of its length:
(8/10)(40 ft) = 32 ft
The actual house is 32 feet wide.
Answer:
SA = 664 square inches
Step-by-step explanation:
Surface area is the area of all the sides added together. A prism has six sides.
Take the dimensions and change them so each of the numbers are multiplied with the others.
14 * 10 * 8
14 * 10 = 140
14 * 8 = 112
10 * 8 = 80
Multiply each answer by 2 because there are two sides that have the same dimensions.
14 * 10 = 140 * 2 = 280
14 * 8 = 112 * 2 = 224
10 * 8 = 80 * 2 = 160
Add the areas together.
280 + 224 + 160 = 664
SA = 664 square inches
Solutions
In Matrix we use initially based on systems of linear equations.The matrix method is similar to the method of Elimination as but is a lot cleaner than the elimination method.Solving systems of equations by Matrix Method involves expressing the system of equations in form of a matrix and then reducing that matrix into what is known as Row Echelon Form.<span>
Calculations
</span>⇒ <span>Rewrite the linear equations above as a matrix
</span>
⇒ Apply to Row₂ : Row₂ - 2 <span>Row₁
</span>
⇒ <span>Simplify rows
</span>
Note: The matrix is now in echelon form.
<span>The steps below are for back substitution.
</span>
⇒ Apply to Row₁<span> : Row</span>₁<span> - </span>5 Row₂
⇒ <span>Simplify rows
</span>
⇒ <span>Therefore,
</span>

<span>
</span>
An algebraic expression is a phrase in mathematics that consists of numbers such as 1,2,3 and the like, variables which are represented with letters and operations like addition, multiplication, subtraction and division. It is usually used to represent a certain situation which would relate the variables involved. To write the algebraic expression for the problem statement above, we do as follows:
Let x = number of consoles to be bought
y = number of games to be bought
z = number of controllers to bebought
C = total cost of all
The total cost would be equal to the sum of the price multiplied by the number of consoles, games and controllers bought. We write the algebraic expression as follows,
C = 299x + 59.99y + 29.99z
-3 =-2x - 7
Add 7 to both sides
4=-2x
Divide by -2
-2 = x