Figure A′B′C′D′ below is a dilation of Figure ABCD.

What scale factor was used to create Figure A′B′C′D′?

A. 1/3
B. 3/5
C. 3
D. 10
100 POINT QUESTION

Answer:

9.3%

Step-by-step explanation:

The declined rate is 1.3% during 9 years

13.2%-11.9%=1.3%

2015-1995=20 is the year difference

11.9%-1.3%=10.6% for 9 years

10.6%-1.3%=9.3% for another 9 years

so the answer has to be 9.3%

The cost of each 1 pound candy is $30, 1 box of cookies is $5 and 1 can of popcorn is $10.

We have the church youth group is selling snacks to raise money to attend their convention.

We have to determine the cost of each item they sold.

The mathematical equation representing the above statement is -

2x + 5y = 50

According to question -

Assume that the cost of :

1 pound candy = $x

1 box of cookies = $y

1 can of popcorn = $z

Now, write down the mathematical equation representing their total sales -

Amy -      2x + 3y + z = 85

Brian -     4x + 4y + 3z = 170

Paulina -     8x + 8y + 5z = 330

We will use the Cramer's rule to solve these equations -

The 3 x 3 coefficient matrix is -

[tex]\left[\begin{array}{ccc}2&3&1\\4&4&3\\8&8&5\end{array}\right][/tex]

Find its determinant -

D = 2(4 x 5 - 3 x 8) - 3(4 x 5 - 8 x 3) + 1(4 x 8 - 4 x 8) = 4

Create the X- matrix (X - matrix is formed by replacing the x-column values with the answer-column values) as follows -

[tex]\left[\begin{array}{ccc}85&3&1\\170&4&3\\330&8&5\end{array}\right][/tex]

Find th determinant of this X - matrix same as done above -

D(X) = 120

Similarly create a Y - matrix and Z - matrix and find their respective determinants. On solving you will get -

D(Y) = 20

D(Z) = 40

According to the Cramer's rule -

[tex]$x = \frac{D_{x} }{D}[/tex]

[tex]$y = \frac{D_{y} }{D}[/tex]

[tex]$z = \frac{D_{z} }{D}[/tex]

Therefore -

x = 120/4 = 30

y = 20/4 = 5

z = 40/4 = 10

Hence, the cost of each 1 pound candy is $30, 1 box of cookies is $5 and 1 can of popcorn is $10.

To solve more questions on Linear equations and Cramer's rule, visit the link below -

https://brainly.com/question/12682009

#SPJ2

Answer:

B

Step-by-step explanation:

To determine if x = 6 is a solution, substitute x = 6 into the left side of the equation and if equal to the right side then it is a solution.

2(6) - 5 = 12 - 5 = 7 ≠ 1

Then x = 6 is not a solution of the equation since a false statement results after replacing x with 6 (B)

Answer:

-6: integer, rational, real

0: whole, integer, rational, real

0.222...: rational, real

15/3: whole , integer (if talking 5), rational, real

2: all except irrational

√3: irrational, real

-12/6: Integer, rational, real

Answer:

Hii okay so,

Question One: Integer

Question Two: Whole

Question Three: Irrational

Question Four: Rational

Question Five: Real

Question Six: Rational

Question Seven: Irrational

Question Eight: Rational

Step-by-step explanation:

Remembering doing something like this last year. Hope this helps!

Answer:

10.01

Step-by-step explanation:

35% of 28.6

35/100*28.6

1001/100

=10.01

Answer:

what's the question im confused sorry

Answer:

103=618/6

0.0097=6/618

Step-by-step explanation:

Answer:

[tex]\frac{1}{103}[/tex] ≈ 0.009708738

Step-by-step explanation:

6 ÷ 618

Reduce the fraction  [tex]\frac{6}{618}[/tex]  to lowest terms by extracting and canceling out 6.

[tex]\frac{1}{103}[/tex]

9514 1404 393

Answer:

  7/8

Step-by-step explanation:

7/8 differs from 1 = 8/8 by 1/8.

8/7 differs from 1 = 7/7 by 1/7.

1/8 is smaller than 1/7, so 7/8 is closer to 1.

Answer:

3/10

Step-by-step explanation:

4.5 divided by 15 = 0.3 or 3/10 in faction form.

Answer:

undefined

Step-by-step explanation:

Answer:

its 72 good luck on your test

Answer: C, 72

Step-by-step explanation:

You just have to figure out if the denominators have a common multiple. You have to figure out what goes into 8, 9, and 12 and see if its the lowest number.

Answer

4x²+6x²-3x²-3x-2-4=7x²-3x-6

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

Answer:

4 x -1.5 = -6

-6 + 11 = 5

hope this is correct if so brainlest would be appreciated.

Answer:

n = - 3/2

Step-by-step explanation:

4n + 11 = 5

4n = 5 - 11

n = -6/4 = - 3/2

Answer:

c

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation: hope this helps you!

Step-by-step explanation:

the slope-intercept form =x + (y/2) =6

Answer:

-25

Step-by-step explanation:

k12

Answer:

-25

Step-by-step explanation:

Answer:

-2 [tex]\frac{1}{2}[/tex] = -2.5 and 3[tex]\frac{1}{3}[/tex] = -3.33333333

Step-by-step explanation:

Answer:

45m

Step-by-step explanation:

you have to find the diagonal by using the pitagora's theoreme.

it uses the formula [tex]\sqrt a^{2} +b^{2}[/tex] when you have to find the lenght of the longer side of a triangle with an angle of 90°. So the diagonal will be [tex]\sqrt27^{2} +36^{2}[/tex] =[tex]\sqrt729+1296[/tex] =  [tex]\sqrt2025[/tex] = 45

Answer:

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Here's your Answer :

18.134 after rounding off - 18.1

2.28 after rounding off - 2.3

let's perform subtraction to get the required Answer :

Answer:

1693 is the result of the sum 437 plus 1256

Answer:

-2 or 2 im in a rush sorry

Step-by-step explanation:

Step-by-step explanation:

[tex]x\neq -5[/tex] and [tex]x\neq 6[/tex]

[tex]\frac{-11x}{x^{2}-x-30 }-\frac{8}{x-6}-\frac{x}{x+5}=0[/tex]

[tex]\frac{-11x}{x^{2} +5x-6x-30} -\frac{8}{x-6} -\frac{x}{x+5}=0[/tex]

[tex]\frac{-11x}{(x+5)(x-6)} -\frac{8}{x-6}-\frac{x}{x+5} =0[/tex]

[tex]-\frac{11x+8x+40+x^{2} -6x}{(x+5)(x-6)}=0[/tex]

[tex]-\frac{13x+40+x^{2} }{(x+5)(x-6)}=0[/tex]

[tex]-\frac{(x+8)(x+5)}{(x+5)(x-6)}=0[/tex]

[tex]-\frac{x+8}{x-6} =0[/tex]

[tex]x+8=0[/tex]

[tex]x = -8[/tex]

Please give me a brainliest answer