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kramer
3 years ago
5

August hosted two dinner parties for his friends. Twenty-five guests attended the first party, and twenty-six guests attended th

e second party. What is the percentage increase of the number of guests from the first party to the second party?
Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

4%

Step-by-step explanation:

The formula for percent of increase is increase divided by original number x 100

So here, our increase was 1 and our original number was 25, so 1/25 equals .04 and .04 x 100 = 4

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Complete the expressions that would make them a perfect square trinomial.
kirza4 [7]

Answer:

a) 16

b) 100

c) 64

d) \frac{81}{4}[/tex]

Step-by-step explanation:

Perfect square trinomial:

A perfect square trinomial has the following format:

(x \pm a)^2 = x^2 \pm 2ax + a^2

a.

x² – 8x

x^2 - 8x = x^2 - 2ax

So 2a = 8, a = 4. Then

a^2 = 4^2 = 16

The perfect square trinomial is x^2 - 8x + 16

b. x2 + 20x +

2a = 20, so a = 10

a^2 = 10^2 = 100

The perfect square trinomial is x^2 + 20x + 100

C.

x² – 16x +

2a = -16, so a = -8.

a^2 = (-8)^2 = 64

The perfect square trinomial is x^2 - 16x + 64

d. x2 + 9x +

2a = 9, so a = \frac{9}{2}

a^2 = (\frac{9}{2})^2 = \frac{81}{4}

The perfect square trinomial is x^2 + 9x + \frac{81}{4}[/tex]

6 0
3 years ago
Simplified form of the expression (x^3+3x^2+6)-(9x^2-5x+7)
JulijaS [17]

(x^3 + 3x^2 + 6) - (9x^2 - 5x + 7)\\\\x^3 + 3x^2 + 6 - 9x^2 + 5x - 7\\x^3 - 6x^2 + 5x  -1


8 0
4 years ago
Pat wants to create s rectangular playpen for her dogs in her backyard. And estimates the dogs will need 600 square feet. She al
Ira Lisetskai [31]
I found width=13.72 ft and length=43.72 ft.
Call one dimension of the rectangle x, the other will be x+30
You want an area A=600 ft^2 but A=length x width=x*(x+30)=600
Rearranging you get:
x^{2} +30x-600=0
solving this quadratic equation you get a negative solution and a positive one that gives your result.

8 0
4 years ago
The width of a rectangle is fifteen feet less than its length. If the area of the rectangle is 54 square feet, find the width.
PolarNik [594]

Answer:

3 ft

Step-by-step explanation:

It is because 3 times 18 is 54 and 3 is 15 less than 18

4 0
4 years ago
Find the value of X in the picture please
Over [174]

Answer:

The measure of the arc x is 130°

Step-by-step explanation:

we know that

The semi-inscribed angle is half that of the arc it comprises

so

65°=(1/2)[arc x]

solve for x

arc x=(2)(65°)=130°

8 0
3 years ago
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