Antonio is planning a birthday party for his daughter. SkateWorld charges a flat fee of $50 plus $3 per child. Roller Land charges $5 per child. If Antonio's daughter wants to invite 21 friends from school and five friends from her basketball team, which rink should Antonio use and how much would he save by doing so?​

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Answer:

  B.  y = |x +7|

Step-by-step explanation:

The translations represented by the answer choices are ...

  A. up 7 units

  B. left 7 units . . . . the choice we want

  C. right 7 units

  D. down 7 units

___

In general, the effects of adding things to x and y are summarized by ...

  y = f(x -a) +b . . . . . . . . translation right 'a' units, up 'b' units

Translations left or down are accomplished by using negative values for 'a' and/or 'b.

__

We want translation 7 units left, so a=-7 and b=0

  y = |x|   ⇒   y = |x -(-7))|  or  y = |x+7|

Answer:

75

Step-by-step explanation:

Answer: 2.45346638e+19

Step-by-step explanation:

Answer:

a=36

Step-by-step explanation:

because look 0a=a

0a=36

a=36

Answer:

Step-by-step explanation:

4a-6ab-18ac

=2a(2-3b-9c)

The required factorisation of the given equation is 4a-6ab-18ac​ = 2a(2 - 3b - 9c).

In mathematics,  factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

The given equation is,

4a-6ab-18ac​

So factorising each term we have,

4a = 2*2*a

6ab = 2*3*a*b

18ac = 2*3*3*a*c

Thus the equation becomes,

4a-6ab-18ac​ = 2*2*a - 2*3*a*b - 2*3*3*a*c

taking 2*a common we get,

4a-6ab-18ac​ = 2a(2 - 3b - 3*3*c)

or, 4a-6ab-18ac​ = 2a(2 - 3b - 9c)

which is the the required factorisation of the equation.

Thus, the required factorisation of the given equation is 4a-6ab-18ac​ = 2a(2 - 3b - 9c).

To learn more about factorisation:

https://brainly.com/question/20293447

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Answer:

[tex]f'(x) = -28 \ at \ x = 2[/tex]

Step-by-step explanation:

[tex]f'(2) = \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) = \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\[/tex]

       [tex]= \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28[/tex]

Answer:

37.7 cm

Step-by-step explanation:

C = 2πr

2 · π · 6

≈ 37.7

Answer:

between-groups variance;

within-groups variance

Step-by-step explanation:

The F-ratio is determined by dividing between-groups variance by within-groups variance

Reason -

The F ratio is the ratio of two mean square values.

Answer:

x = 4

Step-by-step explanation:

ΔAED  ~ ΔACB

[∠DAE = ∠BAC ( common angle ), [tex]\frac{AE}{AC} = \frac{AD}{AB}[/tex] ( gives a ratio 1:2 ) ]

[tex]\frac{AE}{AC} = \frac{DE}{BC}[/tex]

Since AC = 2AE  [ AC = AE + EC, But AE = EC, ∴ AC = AE + AE ]

 [tex]\frac{AE}{2AE} = \frac{x + 1}{4x - 6}\\\\\frac{1}{2} = \frac{x + 1}{4x - 6}\\\\\\Cross - multiplying,\\\\4x - 6 = 2 *(x + 1)\\4x - 6 = 2x + 2\\4x - 2x = 2 + 6\\2x = 8\\x = 4[/tex]

Answer:

ab=ab+a

We need to check the following:

(ab)c=a(bc) or not

LHS

(ab)c=(ab+a)c

=(ab+a)c+(ab+a)

=abc+ac+ab+a

RHS

a(bc)=a(bc+b)

=a(bc+b)+a

=abc+ab+a

as LHS ≠ RHS, the operation is not associative

Step-by-step explanation:

Answer:

(10x)^2

Step-by-step explanation:

Answer:

with times hight

Step-by-step explanation:

multiply with and hight together to get a full lay out of the prisms and if the are halves i usauly add them together to form one unite hope this help and that were on the same page

Answer:

To use a unit cube, you have to multiply the length and the width just like finding the area of a 2D shape. You will then take your "area" and multiply that by the height of the object.

Step-by-step explanation:

Example, if I have a rectangular prism that is 10 inches long, 4 inches wide, and 6 inches tall, I can multiply 10 and 4 to get 40. I will then take the 6 inches, and multiply it to 40. 40x6=240. The volume of my prism is 240.

I would also like to point out that you can multiply the factors in any order because of the commutative property

The question is incomplete. The complete question is :

I. Determine the missing term/s in the given number sequence and equation. Write the letter of your answer on the blank provided.

1.)91,  , ___, 61 A. 79, 67,  B. 78, 63,  C. 77, 66 ,  D. 76,69  2.) 38, 46,  

, 62, 78 A. 54, 72 B., 54, 70 C. 50, 72, D.50, 74 3.)34, 39, ___, 54, 59A. 49, 44B.45, 49C.44,49D. 40,55 4.) 15, 30, ___, 60,A. 45, 75 B.40, 70C. 15, 70D.15,60 5.） 829 x = 829A. 1 B.3 C.5 D. 7

Answer :

1. Choose A,   2. Choose B,    3. Choose C,   4. Choose A,  5. Choose A

Explanation :

1. 91, 85, __, 73, __, 61

  We see that each number has a difference of 6. Therefore, 91 minus 6 is 85. 85 minus 6 is 79, 79 minus 6 is 73, 73 minus 6 is 67, 67 minus 6 is 61.

Therefore, the missing numbers are :

91, 85, 79, 73, 67, 61

So, choose A.

2. 38, 46, __, 62, __, 78

We see that each number has a difference of 8. So, 38 plus 8 is 46, 46 plus 8 is 54, 54 plus 8 is 62, 62 plus 8 is 70, 70 plus 8 is 78.

Therefore, the missing numbers are :

38, 46, 54, 62, 70, 78

So, choose B

3. 34, 39, __, __, 54, 59

We see that each number has a difference of 5. So, 34 plus 5 is 39, 39 plus 5 is 44, 44 plus 5 is 49, 49 plus 5 is 54, 54 plus 5 is 59.

Therefore, the missing numbers are :

34, 39, 44, 49, 54, 59

So, choose C

4. 15, 30, __, 60, __.

We see that each number has a difference of 15. So, 15 plus 15 is 30, 30 plus 15 is 45, 45 plus 15 is 60, 60 plus 15 is 75.

Therefore, the missing numbers are :

15, 30, 45, 60, 75.

So, choose A.

5. 829 x __ = 829

  ∴ 829 x 1 = 829

So, choose A.

Answer:

See work below.

Step-by-step explanation:

[tex](k-9)^2=(k-9)(k-9)\\=k^2-2(k)(9)+9^2\\=k^2-18k+81[/tex]

Answer:

12.56

Step-by-step explanation:

First of all, pi = 3.14

Diameter=4

Radius=2

3.14×[tex]2^{2}[/tex]

So,

3.14 × 4 =

12.56

Hope this helps!! (Hope I did this in time!!)

Answer:

[tex]sin^{-1}(\frac{51}{53})\\=74.21[/tex]

≈74

Answer:

a. po

sana po maka tulong

Answer:

You would have $1552.9 after 10 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

You currently have $500 saved up.

This means that [tex]P = 500[/tex]

12% interest, compounded annually.

This means that [tex]r = 0.12, n = 1[/tex].

How much money would you have after 10 years?

This is A(10). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(10) = 500(1 + \frac{0.12}{1})^{10}[/tex]

[tex]A(10) = 1552.9[/tex]

You would have $1552.9 after 10 years.

Answer:

Step-by-step explanation:

radius=diameter/2

13/2

6.5

circumference of a circle=2πr

=2*3.14*6.5

=40.82 feet

=

Answer:

40.84

Step-by-step explanation:

2x3.14x6.5=40.84

Answer:

im pretty sure is 3 but it says 2 but just pick 3

Answer:

1

Step-by-step explanation:

Depending on what number has the most Xs above it, that will be the answer. The question is slanted so, it's hard to tell between 1 and 3, but, if I had to guess, then 1.

Answer:

54 in³

Step-by-step explanation:

9×3×2 = 54 in³

_______

Answer:

a=-4

Step-by-step explanation:

3(a+2)=-6

3a+6-6=-6-6

3a/3=-12/3

It's a kite or a rhombus.

Answer:

8 times greater.

Step-by-step explanation:

Lengths are times 2 so:

Volume = 2^3 times greater

Answer:

8

Step-by-step explanation:

Answer: 6.25 yards

Step-by-step explanation:

75 inches = 4 bows

To get 12, you have to multiply 4 by 3. Therefore, you also have to multiply 75 by 3.

75*3 is 225.

225 inches = 12 bows

225 inches is 6.25 yards. Hope this helps :)

Answer:

outs dnc fungi obi fh hk of dk foo ox dj fk

Answer:

591.5

Step-by-step explanation:

You're rounding so yeah this was simple

Answer:

591.5 because the tenth place is after the . and the number after it is what you use to round it if it larger then 5 the number in the tenth place goes up one and if it's under 5 it stays the same

Answer:

999

Step-by-step explanation:

223 →  200 + 20 + 3

374 →  300 +  70 + 4

402 → 400 +    0 + 2

          900 + 90 + 9

standard form = 999