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3 years ago

The sum of two consecutive odd integers if the smaller number is n. Write an algebraic equation.

Mathematics

1 answer:

nika2105 [10]3 years ago

3 0

If the smaller number is n, then the next odd integer can be expressed as n+2. The sum of these is
n + n + 2
or
2n + 2

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Stan has a rectangular piece of carpet with an area of 23.4 square meters. The piece of carpet is 13 meters long. What is the wi

Sholpan [36]

Answer:

The breadth of rectangular carpet is 1.8 m.

Step-by-step explanation:

We have,

The area of rectangular carpet that is 23.4 m²
The length of carpet is 13 m.

We know that,

= Area of rectangle = Length × Breadth

= 23.4 = 13 × Breadth

= 23.4/13 = Breadth

= 234/130 = Breadth

= 1.8 m = Breadth

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3 years ago

If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?

Julli [10]

Now, recalling that for 1 yard, there are 3 feet, therefore $\bf \begin{array}{ll}
yards&feet\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1yd&3ft\\
(1yd)^2&(3ft)^2\\
yd^2&3^2ft^2\\
&9ft^2
\end{array}$

and keeping in mind that, there are 4840 yd² in 1 acre, then

$\bf \cfrac{\quad \frac{3}{4}~\underline{acre}\quad }{80000~\$}\cdot \cfrac{4840~\underline{yd^2}}{\underline{acre}}\cdot \cfrac{9~ft^2}{\underline{yd^2}}\implies \cfrac{\frac{3}{4}\cdot4840\cdot 9~ft^2}{80000~\$}\implies \cfrac{\frac{130680}{4}}{80000}
\\\\\\
\cfrac{\frac{130680}{4}}{\frac{80000}{1}}\implies \cfrac{130680}{4}\cdot \cfrac{1}{80000}\implies \cfrac{3267}{8000}~\frac{ft^2}{\$}~\approx~ 0.408375 ~\frac{ft^2}{\$}$

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3 years ago

Write the equation in point-slope form of the line that passes through the given point and has the given slope (4,-7); m= -1/4

kicyunya [14]

Answer:

y + 7 = -1/4(x - 4)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

Slope m = -1/4

Point (4, -7)

Step 2: Write Function

y + 7 = -1/4(x - 4)

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3 years ago

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ValentinkaMS [17]

4+4+6+6=12+8=20

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2 years ago

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diamong [38]

Answer:

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3 years ago