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PolarNik [594]
3 years ago
14

I'm so confused about this question for homework . Could you help me? The glee club has 120 cupcakes to sell. They have decided

to arrange the cupcakes in the shape of a rectangle, such that the rows have an even number of cupcakes and the columns have an odd number of cupcakes. How many arrangements of cupcakes can they create? Explain.
Mathematics
1 answer:
Alecsey [184]3 years ago
6 0
The number of rows is the length
the nuumber of collumns is the width

alrighty
length times widdth=total number of cupcaces

so we factor 120 to find odd and even pairs
120=1*2*2*2*3*5

so some even and odd pairs are
1*120
3*40
5*24
8*15

those are all the possible pairs

so they can make 4 different arrangements

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Combine the like terms to create an equivalent expression: <br> 2s+(−4s)=?
Sergeeva-Olga [200]

Answer:

2s+\left(-4s\right)=-2s is the equivalent expression as 2s+\left(-4s\right) is equal to -2s.

Step-by-step explanation:

Considering the expression

2s+\left(-4s\right)

As we know that

  • Like terms are said to be the terms which hold the same variables raised to the same power.
  • For example, 3x and 2x are like terms as they contain the same variable x raised to the same power.

Lets solve the expression

2s+\left(-4s\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

2s-4s

\mathrm{Add\:similar\:terms:}\:2s-4s=-2s

-2s

Therefore,

2s+\left(-4s\right)=-2s is the equivalent expression as 2s+\left(-4s\right) is equal to -2s.

Keywords: equivalent expression, like terms

Learn more about equivalent expression from brainly.com/question/8902137

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4 0
3 years ago
An experiment is performed where a card is chosen from a desk of playing cards
Anna71 [15]
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5 0
3 years ago
Lucy has two star systems left to visit on her voyage, but her ship is running low on fuel. The first system, KA-77, is 12001200
-Dominant- [34]

Answer:

 1348 light years.    

Step-by-step explanation:

Please find the attachment.

Let x represent the distance between KA-7 and KA-11.

We have been given that the first system, KA-7, is 1200 light years away while the second system, KA-11, is 1700 light years away. Lucy sees an angle of 52 degrees between KA-7 and KA-11.

We can see from our attachment that Lucy, KA-7 and KA-11 forms a triangle and we will use law of cosines to solve for x.  

(AB)^2=(AC)^2+(BC)^2-2(AC)(BC)*cos (C)

Upon substituting our given values in above formula we will get,

x^2=1200^2+1700^2-2*1200*1700*cos (52^o)  

x^2=1440000+2890000-4080000*0.615661475

x^2=4330000-2511898.81933008

x^2=1818101.18066992

Let us take square root of both sides of our equation.

x=\sqrt{1818101.18066992}

x=1348.3698234\approx 1348

Therefore, KA-7 and KA-11 are approximately 1348 light years apart.

6 0
3 years ago
The function g(x) = x2 is transformed to obtain function h: h(x) = g(x + 1).
Anika [276]

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Answer:

We just transform the g graph using a translation of vector (-i)

Step-by-step explanation:

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What is 7/45 simplified
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Step-by-step explanation:

7/45 is the simplified terms

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