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Anna [14]
3 years ago
6

A gym floor has a perimeter of 615 feet What is the perimeter of the floor in yards?

Mathematics
1 answer:
bogdanovich [222]3 years ago
4 0

Answer:

205 yards

Step-by-step explanation:

One yard is 3 feet

Divide 615 feet by 3 to get 205

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Show work and Factor 4x^2+xy-18y^2
grigory [225]

Answer:

4x^2+xy-18y^2=(4x+9y)\,(x-2y)

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2

so we want the following to happen:

a\,c = 4\\ad+bc=1\\bd--18

Notice as well that ad+bc =1 means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product bd=-18, then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that a\,\,and \,\,c are positive.

We can then try combinations for  a\,\,and \,\,c  such as:

a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4

Just by selecting the first one (a=4;\,\,c=1)

we get that 4d_b=1\\b=-4d-1

and since

bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

d=-18/(-2)\\d=9

Now we have a good combination of parameters to render the factoring form of the original trinomial:

a=4; \,\,b=9;\,\,c=1;\,\,d=-2

which makes our factorization:

(4x+9y)\,(x-2y)=4x^2+xy-18y^2

6 0
3 years ago
Will give brainliest to first right answer. Before a sale an items price was $28.00 then after being discounted the price was $1
matrenka [14]
The discount was 48%. The original price was $28.00, but the new price was $14.60.
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If three bakers can prepare 15 cakes in 60 minutes, if they continue working at the same rate, how many cakes can they make in 3
igomit [66]
1 baker would make 45 cakes in 3 hours

All 3 bakers would make 135 cakes in 3 hours
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3 years ago
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Simplify.<br><br><br><br> 5 – [–(–2)]<br><br><br><br> A. –3<br><br> B. 3<br><br> C. –7<br><br> D. 7
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The answer should be B. 
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