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Anvisha [2.4K]
3 years ago
10

There are 10 kids that want ice cream. Each one can choose between chocolate, vanilla or strawberry. You'll collect their choice

s and make one order, something like: 5 chocolate, 3 vanilla and 2 strawberry. How many possible orders can you make
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer: There are 30 possible orders that can be made.

Step-by-step explanation:

Given : Number of kids that want ice cream= 10

Choices for flavors : chocolate, vanilla or strawberry.

i.e. Number of choices for flavors = 3

Then by Fundamental principle of counting , the number of possible orders can be =(Number of kids ) x (Choices for flavors)

=10\times3=30

Therefore , the total number of possible orders that can be made = 30.

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What is the factored form of x12 y 18 +1?
Nitella [24]

Answer:

The required factored form of the given expression is

(x^4 y^6+1)(x^8 y^12-x^4 y^6+1) as the factored form.

5 0
3 years ago
For every 8 red pens on the teachers desk there are 12 pencils. If she has 60 writing implements, does she have enough red pens
gavmur [86]

Answer:No she does not

Step-by-step explanation:

8pens + 12pecils= 20writing inplements

20+8+12=40

20+8+12=60

You needed 3 sets of 8 pens and 3 sets of 12 pencils to get 60.

3*8=24

24 is less than 60, so she does not have enough pens for 60 students

7 0
3 years ago
Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}
kompoz [17]

Answer:

The ordered pair (-2,\, -4) is indeed a solution to the system:

\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right..

Step-by-step explanation:

Consider a system of equations about variables x and y. An ordered pair (x_{0},\, y_{0}) (where x_{0} and y_{0} are constant) is a solution to that system if and only if all equations in that system hold after substituting in x = x_{0} and y = y_{0}.

For the system in this question, (-2,\, -4) would be a solution only if both equations in the system hold after replacing all x in equations of the system with (-2) and all y with (-4).

The \texttt{LHS} of the equation y = (1/2)\, x - 3 would become (-4). The \texttt{RHS} of that equation would become (1/2) \, (-2) - 3. The two sides are indeed equal.

Similarly, the \texttt{LHS} of the equation y = -2\, x - 8 would become (-4). The \texttt{RHS} of that equation would become (-2)\, (-2) - 8. The two sides are indeed equal.

Thus, x = (-2) and y = (-4) simultaneously satisfy both equations of the given system. Therefore, the ordered pair (-2,\, -4) would indeed be a solution to that system.

8 0
2 years ago
Solve for x.<br><br><br><br> Enter your answer in the box.<br><br> x = <br> °
liq [111]

As we can notice the shape is a Pentagon. A Pentagon's angles should add up to 540. So we can use simple addition and subtraction to solve.

121 + 108 + 102 + 100 = 431

540 - 431 = 109

109 should be your answer

4 0
3 years ago
Read 2 more answers
Y= x^2 -5 solve for x
dexar [7]

Y= x^2 -5

We need to solve for x, we need to get x alone

Y= x^2 -5

Lets start by removing -5

Add 5 on both sides

y + 5= x^2 -5 + 5

y + 5= x^2

Now to isolate x , we need to remove the square from x

To remove square , take square root on both sides

+-\sqrt{y+5} = \sqrt{x^2}

square and square root will get cancelled

+-\sqrt{y+5} = x

So x = +\sqrt{y+5} and  x = -\sqrt{y+5}


7 0
3 years ago
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