Mary Jane is buying paper plates for her big going away party. The fancy plates come in packs of 8. She is inviting 41 guests. How many packs of plates should Mary Jane buy?

Step-by-step explanation:

Given

X+ 2 = 0

X = -2

on putting in polynomial

-8a +2b= 0

- 8a = 2b

b = -4a

Now

when divided by x - 1 give remainder -15

so

x - 1 = -15

x = -14

on putting in polynomial

-2744a + 198 + 14b - 4 = -14

-2744a + 56a = - 208

-2688a = -208

a = 168/13

Now

b = 672/13

Answer:

177.2 i think

Step-by-step explanation:

[tex]3^{2} + 12 = 9 + 12 = 21[/tex]

The answer is 21.

Answer:

The correct answer is 21.

Step-by-step explanation:

To solve this problem, we simply substitute 3 for a in the expression.

Given the expression,

a^2 + 12

we should replace "a" with 3, as denoted by the problem, giving us:

(3)^2 + 12

Now, we simplify using the order of operations.  PEMDAS tells us that we should simplify what is in the parentheses first because it has an exponent.

9 + 12

Now, we can just add the two remaining terms together, giving us:

21

Therefore, the answer is 21.

Hope this helps!

Answer:

-22

Step-by-step explanation:

g(2-1)=g(1)=(2-g(2))/8=3

2-g(2)=24

-g(2)=22

g(2)=-22

Answer:

NOO

Step-by-step explanation:

In order for an equation to be quadratic, the highest degree that is needed is two. The highest exponent provided is 3 therefore no it is not a quadratic function

Answer:

=(4)(-7)(-2)

=-28*(-2)

=+56 is the answer

Step-by-step explanation:

hope it help ^_^

Answer:

D

Step-by-step explanation:

This is because rational numbers don't continue as a decimal infinitely

Answer:1. 0.35. 0.35

Step-by-step explanation:

I did the question on edgenuity

The change for each consecutive time given is: 1

The change of each consecutive height given is: 0.35

The rate of change for the relationship between time and height is: 0.35

The table that displays the height of water when a pool is being filled against time is shown in the image attached. (See attachment).

Recall:

Rate of change can be calculated as: change in output / change in input

Change in output = difference between consecutive outputs

Change in input = difference between consecutive inputs

In the question given,

Time is input

Height is output

Thus:

Change for each consecutive input (time):

Therefore, the change of each consecutive input (time) is: 1

Change for each consecutive output (height):

Therefore, the change of each consecutive output(height) is: 0.35

Rate of change of the relationship between time and height:

Rate of change = change in height / change in time

Rate of change = 0.35/1 = 0.35

In summary:

The change for each consecutive time given is: 1

The change of each consecutive height given is: 0.35

The rate of change for the relationship between time and height is: 0.35

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Answer:

Felipe work for 6 hours to earn $54

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Answer:

36, 49

explanation:

The pattern in this series is going by perfect squares:

From this, we can tell the next 2 numbers in the series will be:

Answer:

yea your correct and 16.5

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

???

Answer: commutative property of addition

Step-by-step explanation:

(a+b)+c=a+(b+c) -- Commutative property of addition

Commutative property of addition is when the numbers are added, the sum are the same, regardless of the order of numbers.

Hope this helps!! :)

Please let me know if you need further explanation with properties of addition.

n = 2

My picture shows my work :)

Answer:

you know what to do that is the soup for the next couple of weeks and see how much is a ps4 controller or an official at the lot of the boy's

Answer:

Step-by-step explanation:

11). 6x + 7 = 8x - 17 [Since vertical angles are equal in measure]

    8x - 6x = 17 + 7

    2x = 24

    x = 12

12). (11x - 15) + (5x - 13) = 180°

    16x - 28 = 180°

    16x = 180 + 28

    16x = 208

    x = 13

13). Since DB⊥AC,

    m∠CBD = 90°

    m∠CBE + m∠DBE = 90°

    (5x - 42) + (2x - 1) = 90°

     7x - 43 = 90

    7x = 133

     x = 19

14). Since QS bisects angle PQR,

    m∠PQS = m∠RQS

    10x + 1 = [tex]\frac{82}{2}[/tex]

    10x + 1 = 41

    10x = 40

    x = 4

15). 10x - 61 = 18y + 5 [Vertical angles]

     10x - 18y = 61 + 5

     10x - 18y = 66

     5x - 9y = 33 ------(1)

     (18y + 5) + (x + 10) = 180 [linear pair of angles are supplementary]

     18y + x + 15 = 180

     x + 18y = 165 ------(2)

     By adding equation (1)×2 and equation (2)

     (10x - 18y) + (x + 18y) = 66 + 165

     11x = 231

      x = 21

16). (5x - 17) + (3x - 11) = 180 [[linear pair of angles are supplementary]

      8x - 28 = 180

      8x = 180 + 28

      8x = 208

      x = 26

      (3x - 11)° = 78 - 11

                   = 67°

      67° + 90° + (2y + 5)°= 180° [Sum of angles on a line]

      162 + 2y = 180

      2y = 180 - 162

      2y = 18

      y = 9

17). NP bisects ∠MNQ.

    Therefore, m∠MNQ = 2(m∠PNQ)

    8x + 12 = 2×78

    8x + 12 = 156

    8x = 156 - 12

    8x = 144

    x = 18

    m∠MNQ = (8x + 12)° = 156°

    m∠RNM = m∠ONQ [Vertical angles]

    (3y - 9)° = 180° - m∠MNQ

    3y - 9 = 180 - 156

    3y - 9 = 24

    3y = 33

    y = 11

Using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:

11. x = 12

12. x = 13

13. x = 19

14. x = 4

15. x = 21; y = 8

16. x = 26; y = 9

17. x = 18; y = 11

Applying the knowledge of angle relationships, we can solve each given problem by first, creating a an equation from the relationship between angles, then solve for the variables.

11. [tex]6x + 7 $ and $ 8x - 17[/tex] are vertical angles.

[tex]6x + 7 = 8x - 17[/tex]

[tex]6x - 8x = -7 - 17\\\\-2x = -24\\\\x = 12[/tex]

12. [tex]11x - 15 $ and $ 5x - 13[/tex] are linear pair angles.

[tex](11x - 15) + (5x - 13) = 180[/tex]

[tex]11x - 15 + 5x - 13 = 180\\\\16x - 28 = 180\\\\16x - 28 + 28 = 180 + 28\\\\16x = 208\\\\x = 13[/tex]

13. <DBE and <CBE are complementary angles.

[tex]m \angle DBE + m \angle CBE = 90[/tex]

[tex](2x - 1) + (5x - 42) = 90[/tex]

[tex]2x - 1 + 5x - 42 = 90\\\\7x - 43 = 90\\\\7x = 90 + 43\\\\7x = 133\\\\x = 19[/tex]

14. Since QS bisects <PQR, therefore,

m<PQS = 1/2(PQR)

[tex]10x + 1 = \frac{1}{2} (82)[/tex]

[tex]10x + 1 = 41\\\\10x = 41 - 1\\\\10x = 40\\\\x = 4[/tex]

15. [tex](x + 10) $ and $ (10x - 16)[/tex] are linear pair angles.

[tex](x + 10) + (10x - 16) = 180\\[/tex]

[tex]x + 10 + 10x - 61 = 180\\\\11x - 51 = 180\\\\11x = 180 + 51\\\\11x = 231\\\\x = 21[/tex]

Since [tex](10x - 61) $ and $ (10y + 5)[/tex] are vertical angles, they are congruent. Therefore,

[tex](10x - 61) = (10y + 5)[/tex]

[tex]10(21) - 61 = 18y + 5\\\\149 = 18y + 5\\\\149 - 5 = 10y\\\\144 = 18y\\\\8 = y\\\\\mathbf{y = 8}[/tex]

16. Since [tex](5x - 17) $ and $ (3x - 11)[/tex] are linear pair, their sum equals 180 degrees. Therefore,

[tex](5x - 17) + (3x - 11) = 180[/tex]

[tex]5x - 17 + 3x - 11 = 180\\\\8x - 28 = 180\\\\8x = 180 + 28\\\\8x = 208\\\\x = 26[/tex]

[tex](2y + 5) + 90 + (3x - 11) = 180[/tex] (angles on a straight line = 180 degrees)

[tex]2y + 5 + 90 + 3(26) - 11 = 180\\\\2y + 5 + 90 + 78 - 11 = 180\\\\2y + 162 = 180\\\\2y = 180 - 162\\\\2y =18\\\\y = 9[/tex]

17. Since NP bisects <MNQ, therefore,

[tex]m \angle PNQ = \frac{1}{2}(m \angle MNQ)[/tex]

[tex]78 = \frac{1}{2}(8x + 12)[/tex]

[tex]78 \times 2 = 8x + 12\\\\156 = 8x + 12\\\\156 - 12 = 8x \\\\144 = 8x\\\\18 = x\\\\x = 18[/tex]

[tex]m \angle RNM + m \angle MNQ = 180^{\circ}[/tex] (linear pair)

[tex](3y - 9) + (8x + 12) = 180[/tex]

[tex]3y - 9 + 8(18) + 12 = 180\\\\3y - 9 + 144 + 12 = 180\\\\3y + 147 = 180\\\\3y = 180 - 147\\\\3y = 33\\\\y = 11[/tex]

Therefore, using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:

11. x = 12

12. x = 13

13. x = 19

14. x = 4

15. x = 21; y = 8

16. x = 26; y = 9

17. x = 18; y = 11

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B. NPO

Because P is the middle letter in the arc.

Answer: B. NPO

Step-by-step explanation: the angle has to be in middle

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Answer:

23 games

Step-by-step explanation:

40.75 divide by 1.25 comes out 23.28

Answer:

g<32.6

Step-by-step explanation:

1.25g+14.25<55

1.25g+14.25-14.25<55-14.25

1.25g<40.75

1.25g/1.25<40.75/1.25

g<32.6

Answer:

6.11

Step-by-step explanation:

First divide 11by 3 and 3by 5.And divide the answer of 11by 3 by 3by5

Answer:

translation

Step-by-step explanation:

shape, size, measurement all stayed the same. they just moved locations :)

Answer:

P = 12

Step-by-step explanation:

Given formula for the perimeter 'P' of a rectangle is,

P = 2L + 2W

If the values of L and W are,

L = 4 and W = 2

Perimeter of the rectangle = 2(L + W)

                                            = 2(4 + 2)

                                            = 2 × 6

                                            = 12 units

Therefore, value of remaining variable 'Perimeter' = 12 units

(There is no use of 'pi' in calculating the perimeter of a rectangle).

Answer:

....

Step-by-step explanation:

w = 10 feet

Area formula

A = l×w

120ft² = 12ft×w

w = 120ft²/12ft

w = 10 feet

Answer:

X= 62 Y=620

Step-by-step explanation:

Y is right because its ten times more than x and x is right because you take the three side and you multiply each one by 2 then you add then all together and you get 62.

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Answer:

Www

Step-by-step explanation:

Answer:

The common multiplier is 24

Step-by-step explanation:

6/8 9/12

8,16,24

12,24

6/8 × 3/3= 18/24

9/12× 2/2= 18/24