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muminat
3 years ago
13

Determine all the possible orders if someone went into a bakery and could order a vanilla, strawberry, or chocolate cake. They c

an also choose between 4 different icings: vanilla, chocolate, strawberry, or peanut butter. How many options would be in the sample space?
A.16
B.9
C.12
Mathematics
1 answer:
AysviL [449]3 years ago
5 0

Answer:

Vv Vc Vs Vp

Sv Sc Ss Sp

Cv Cc Cs Cp

answer is C = 12

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Subtract (In picture)
Sonbull [250]

--First we have to simplfy

\frac{2x-8}{x^2-x-12} -\frac{x-3}{x(x+1)}

\frac{2(x-4)}{(x-4)(x+3)} - \frac{x-3}{x(x+1)}

--Cancel common factors

\frac{2}{(x+3)} -\frac{x-3}{x(x+1)}

--Here remember never cancel factors in a subtraction or addition problem

--Now Multiply each side until both denominators are equal to each other

\frac{2[x(x+1)]}{x(x+3)(x+1)} -\frac{(x-3)(x+3)}{x(x+3)(x+1)}

--Simplify

\frac{2x^2+2x}{x(x+1)(x+3)} - \frac{x^2-9}{x(x+1)(x+3)}

--Now that the denominators are the same: subtract!

\frac{2x^2+2x-(x^2-9)}{x(x+1)(x+3)}

\frac{2x^2-x^2+2x+9}{x(x+1)(x+3)}

--And LAST STEP! ......Simplify More.... To get your answer

\frac{x^2+2x+9}{x(x+1)(x+3)}


6 0
3 years ago
A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How
goldenfox [79]
6 * 2.5 = 15 That’s the area of the base

2.5 * 4 = 10
10 * 2 = 20
That’s the area of the 2 smaller sides

6 * 4 = 24
24 * 2 = 48
That’s the area of the 2 larger sides

Then you add all the dimensions together.

15+20+48 = 83.

So, the final equation is (6*2.5) + 2(2.5*4) + 2(6*4) = 83
6 0
3 years ago
(b) Create a sequence that begins with a negative rational number, is increasing by addition, and is infinite ​
fgiga [73]

Answer:

an infinite is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s {1, 2, 3, ...}.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
MATH HELP???
marin [14]
<h2>Answer:</h2>

The quadratic function are:

 option: A   A)  y(y + 4) - y = 6

 Option: C   C.)  4b(b) = 0

<h2>Step-by-step explanation:</h2>

We know that the general equation of a quadratic equation in terms of a variable x is given by:

   ax^2+bx+c=0

A)

y(y + 4) - y = 6

On simplifying the terms we have:

   y^2+4y-y=6\\\\y^2+3y-6=0

Hence, option: A is correct.

B)

(3x + 2) + (6x - 1) = 0

(3x + 2) + (6x - 1) = 0\\\\i.e.\\\\3x+2+6x-1=0\\\\i.e.\\\\3x+6x+2-1=0\\\\i.e.\\\\9x+1=0

Hence, it is a linear equation.

Hence, option: B is incorrect.

C)

4b(b) = 0

it could also be written as:

4b^2=0

Hence, it is a quadratic equation.

Hence, option: C is correct.

D)

3a - 7 = 2(7a - 3)

3a-7 = 2(7a-3)\\\\i.e.\\\\3a-7=14a-6\\\\\\i.e.\\\\14a-6-3a+7=0\\\\i.e.\\\\14a-3a-6+7=0\\\\i.e.\\\\11a+1=0

which is again a linear equation.

Hence, option: D is incorrect.

6 0
3 years ago
1/4 + 1/3= {Khan Academy btw}
zmey [24]

Answer: \frac{7}{12}

Step-by-step explanation:

\frac{1}{4} +\frac{1}{3}=\frac{(1)(3)+(4)(1)}{(4)(3)}  =\frac{3+4}{12} =\frac{7}{12}

5 0
3 years ago
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