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3 years ago

Cara is painting her living room. The room measures 10.6 feet by 11.6 feet. The ceiling is 10 feet

Mathematics

1 answer:

malfutka [58]3 years ago

3 0

Answer:

440 sq ft.

Step-by-step explanation:

Based on the given, the room is a rectangle with Length = 11.5 ft, width = 10.5 ft and height = 10ft. The total wall area can be calculated as the sum of the individual wall areas. The area of opposite walls can be said equal, therefore.

A = A1 + A2

A1 = (11.5 x 10) (2) since two opposite walls

A2 = (10.5 x 10) (2) since two opposite walls

Total = 440 sq ft.

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Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assum

Alecsey [184]

Answer:

$\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)$

Step-by-step explanation:

$\log_5(\frac{9\sqrt{x}}{y^3})$

First rule I'm going to use is the quotient rule:

$\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)$

$\log_5(9\sqrt{x})-\log_5(y^3)$

Secondly, I'm going to rewrite the radical.

$\sqrt{x}=x^\frac{1}{2}$

$\log_5(9x^\frac{1}{2})-\log_5(y^3)$

Third, I'm going to use the product rule on the first term:

$\log_b(mn)=\log_b(m)+\log_b(n)$

$\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)$

Fourth, I'm going to use power rule for both of the last two terms:

$\log_b(m^r)=r\log_b(m)$

$\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)$

6 0

2 years ago

What is 0.66666666666 as a fraction

stellarik [79]

To turn $0.(6)=0.6666...$ into a fraction you should do such steps:

1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by $10^n$ to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by $10^1 = 10$ . Thus, you have $10x = 10 \cdot 0.666...$ or $10x = 6.666....$ .

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, $10x-x=6.666...-0.666...\\ 9x=6$ .

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: $9x = 6$ . If you divide both sides by 9, you get $x=\dfrac{6}{9}$ . When simplified, you get that $x=\dfrac{2}{3}$ .

Answer: $0.(6)=0.666... =\dfrac{2}{3}$ .

8 0

3 years ago

Read 2 more answers

(8x^2+6x-4)/2 <br> ?????????

mixer [17]

Answer:

Shawty's like a melody in my head

That I can't keep out, got me singin' like

Na-na-na-na, everyday

It's like my iPod stuck on replay, replay-ay-ay-ay

Shawty's like a melody in my head

That I can't keep out, got me singin' like (ayy!)

Na-na-na-na, everyday

It's like my iPod stuck on replay (J-J-J-JR), replay

Step-by-step explanation:

Shawty's like a melody in my head

That I can't keep out, got me singin' like

Na-na-na-na, everyday

It's like my iPod stuck on replay, replay-ay-ay-ay

Shawty's like a melody in my head

That I can't keep out, got me singin' like (ayy!)

Na-na-na-na, everyday

It's like my iPod stuck on replay (J-J-J-JR), replay

4 0

2 years ago

Read 2 more answers

What percent is equivalent to 18/30

FrozenT [24]

18 / 30 =

60 percent

4 0

3 years ago

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Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man

Kryger [21]

Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

$a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}$

$\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}$

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2 years ago