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wlad13 [49]
3 years ago
6

The length of a rectangle is 3 times the width if the perimeter is 32 square iches whats the area?

Mathematics
1 answer:
jasenka [17]3 years ago
4 0

Set up variables:

l = length

w = width

p = perimeter

A = area

Relations:

A = lw

32 = 2l + 2w (perimeter)

l = 3w

Find the missing info:

32 = 2(3w) + 2w (solve for w)

32 = 6w + 2w = 8w

w = 32/8 = 4

If width equals to 4, then length would be 4 * 3, 12.

Area = 12 * 4 = 48

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(03.02 MC)The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
IgorLugansk [536]

Answer:

Juan

Step-by-step explanation:

The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:

For Ana

Ana read 15% of her 46-page book.

= 15% × 46 pages

= 6.9 pages

For Hillary

Hillary read 11% of her 72-page book.

= 11% × 72 pages

= 7.92 pages

For Roger

Roger read 12% of his 68-page book.

= 12% × 68 pages

= 8.16 pages

For Juan

Juan read 14% of his 69-page book.

= 14% × 69 pages

= 9.66 pages

The person who can read greatest number of pages in a day also means the person who read the highest number of pages in a day.

From the calculation above, that person in JUAN because she can read 9.66 pages of her book in one day.

5 0
3 years ago
Given that 6 > –2, which statements are true? Check all that apply.
USPshnik [31]
First sixth and seventh are true
3 0
3 years ago
Read 2 more answers
Jenny, Noah and Mary baked cookies for the class party. They baked 15,18 and 17 cookies respectively.What percent of al cookies
love history [14]

To find the percentage of cookies baked by Jenny we first have to know how many cookies total there were. 15+18+17=50 cookies all together. The question is asking us "what percentage" (x) "of" (multiply) 50 "is" (equals) 15? Using the variables and numbers only our questiion becomes 50x = 15. Divide both sides by 50 to get x = .3. Since this value is a percentage, we find that percentage by multiplying by 100. 30%.

6 0
4 years ago
Read 2 more answers
Reduce the following fraction: -36x^4y^4z^5/-12x^6y^3z
Evgesh-ka [11]
\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{  n}}}\implies \cfrac{1}{a^{-{{  n}}}}\\\\
-------------------------------\\\\

\bf \cfrac{-36x^4y^4z^5}{-12x^6y^3z}\quad 
\begin{cases}
36=2\cdot 2\cdot 3\cdot 3\\
12=2\cdot 2\cdot 3
\end{cases}\implies \cfrac{-36}{-12}\cdot \cfrac{x^4y^4z^5}{x^6y^3z^1}
\\\\\\
\cfrac{\underline{-2\cdot 2\cdot 3}\cdot 3}{\underline{-2\cdot 2\cdot 3}}\cdot \cfrac{x^4y^4z^5x^{-6}y^{-3}z^{-1}}{1}\implies \cfrac{3}{1}\cdot 
\cfrac{x^4x^{-6}y^4y^{-3}z^5z^{-1}}{1}

\bf \cfrac{3}{1}\cdot \cfrac{x^{4-6}y^{4-3}z^{5-1}}{1}\implies 
\cfrac{3}{1}\cdot\cfrac{x^{-2}y^{1}z^4}{1}\implies 
\cfrac{3x^{-2}yz^4}{1}\implies \cfrac{3yz^4}{x^2}
6 0
3 years ago
Hey can you please help me posted picture of question
Mama L [17]
The correct answer is the las option (Option D), which is:

 D. f(x)=(x+4)^4

 The explanation is shown below:

 1. The initial function was G(x)=x^4, whose graph shows that the shape has its vertex at 0,0.
 
 2. If the it was shift 4 units to the left, you only has to add a 4 to the function.

 3. Therefore, you obtain the the equation of the final shape is:

 f(x)=(x+4)^4

 As you can see, the answer is the option D.
7 0
3 years ago
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