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VARVARA [1.3K]
3 years ago
12

Olivia helps paint a square mural in her classroom. Then she helps paint a mural in the hallway whose length is 5 feet longer an

d whose width is 2 feet shorter. Let x represent the side length of the mural in Olivia's classroom. Write an expression that represents the two binomials you would multiply to find the area of the hallway mural. Use that expression to find the area of the hallway mural if each side of the classroom mural is 7 feet long.
A. (x + 5)(x + 2); 108 square feet
B. (x – 5)(x – 2); 10 square feet
C. (x + 5)(x – 2); 60 square feet
D. (x – 5)(x + 2); 18 square feet
Mathematics
1 answer:
attashe74 [19]3 years ago
5 0
The square mural in Olivia's classroom has dimensions x by x.

Then she paints a mural of dimensions: x+5  (the length) by x-2  (the width).

Thus the second mural (the hallway mural) has the shape of a rectangle with dimensions (x+5) by (x-2), so the area of the second mural is
(x+5)(x-2).

<span>
each side of the classroom mural is 7 feet means that x = 7 ft, 
</span>
thus the area of the hallway mural is :
 (x+5)(x-2)=(7+5)(7-2)=12*5=60    (square feet)


Answer:
<span>C. (x + 5)(x – 2); 60 square feet</span>
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Answer:

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Step-by-step explanation:

For example, the most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

5 0
3 years ago
What is the value of AAA when we rewrite 2^{x-6}+2^{x}2 x−6 +2 x 2, start superscript, x, minus, 6, end superscript, plus, 2, st
Nuetrik [128]

Answer:

A=\frac{65}{64}\ or\ A=1.015625

Step-by-step explanation:

Given:

The expression is given as:

2^{x-6}+2^{x}

The equivalent expression to the above expression is given as:

A\cdot 2^{x}

Now, simplifying the original expression using the law of indices:

a^{m-n}=\frac{a^m}{a^n}

So, 2^{x-6}=\frac{2^x}{2^6}. The expression becomes:

=\frac{2^x}{2^6}+2^x

Now, 2^x is a common factor to both the terms, so we factor it out. This gives,

=2^x(\dfrac{1}{2^6}+1)\\\\=2^x(\frac{1}{64}+1)\\\\=2^x(\frac{1}{64}+\frac{64}{64})\\\\=2^x(\frac{1+64}{64})\\\\=2^x(\frac{65}{64})\\\\=(\frac{65}{64})\cdot 2^x

Now, on comparing the simplified form with the equivalent expression, we conclude:

A\cdot2^x=(\frac{65}{64})\cdot 2^x\\\\A=\frac{65}{64}\ or\ 1.015625

Therefore, the value of 'A' is A=\frac{65}{64}\ or\ A=1.015625

7 0
3 years ago
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lesantik [10]

Answer:

Step-by-step explanation:

V of a cube is s^3

V = 512

s = cube root of (V)

s = cube root of 512 cm^3

s = 8

The area of one face of the cube is s^2

s = 8

Area 1 face = 8^2

Area of 1 face = 64 cm^2

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2 years ago
Together, teammates Pedro and Ricky got 2680 base hits last season. Pedro had 276 more hits than Ricky. How many hits did each p
galina1969 [7]

Answer:

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And for Pedro = 1,202 + 276 = 1,478

Step-by-step explanation:

The computation is shown below:

Let us assume the ricky be x

So pedro be x + 276

Now the equation is

x + x + 276 = 2680

2x + 276 = 2680

2x = 2680 - 276

2x = 2404

x = 1,202

For Ricky it is 1,202

And for Pedro = 1,202 + 276 = 1,478

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Which choice is equivalent to the expression? please help!
Shalnov [3]

the answer is option e. *answer needs to be 20 characters long this should do :)

6 0
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