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Andreas93 [3]
3 years ago
5

What is the simplified value of the expression below?

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0

Answer:

= 1/2

Step-by-step explanation:

√25 / √100

= 1/2

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A 10ft by 20ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^
Dmitry [639]

check the picture below.


so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².


now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,


\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}


notice, it cannot be -18, since is a positive length unit.

5 0
3 years ago
Read 2 more answers
Are the these expressions equivalent 6a + 12 and 3(3a + 4)
kow [346]

Answer:

No

Step-by-step explanation:

6a + 12  =? 3(3a + 4)

Distribute

6a+12 =? 3*3a + 3*4

6a+12 =? 9a +12

No

The expressions are not equivalent

5 0
4 years ago
Read 2 more answers
What’s (3b-5c)(2x+5y) squared
lukranit [14]
Answer: In your problem, you said that they are squared. However, it is not written as squared. We just have to multiply them.

We can use the FOIL method.

(3b - 5c)(3x + 5y)

6bx + 15by - 10cx - 25cy

There are no like terms, so that expression is our final answer.
8 0
3 years ago
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and
kogti [31]
No he did not because 20% of 250 is 50 and there are 90 students not 50 students!! Hope this helped you a lot !!!
8 0
4 years ago
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If B is the midpoint of AC, and AC=8x-20. Find BC<br> AB=3x-1<br> Show all work
exis [7]
First we know that:
AB+BC=AC
now , since B is the midpoint of AC, this means that AB=BC
therefore,
AB+BC=AC can also be written as
AB+AB=AC
3x-1+3x-1=8x-20
6x-2=8x-20
-2+20=8x-6x
18=2x
x=9

therefore:
AB=3(9)-1=27-1=26
AC=8(9)-20=52
BC=AB=26
6 0
3 years ago
Read 2 more answers
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