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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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How many solutions can be found for the linear equation? 3(x+4)=3x+4
Hitman42 [59]
Hi there! The answer is 0 solutions.

3(x + 4) = 3x + 4
First we need to work out the parenthesis (for instance possible by using rainbow technique).

3x + 12 = 3x + 4
Now subtract 12.

3x = 3x  - 8
Now we can see that the right side of the equation is always 8 smaller than the left side of the equation. Because the right is always smaller, this equation cannot be solved. Therefore there are no solutions to this equation. The answer is 0 solutions.

3 0
3 years ago
1) (3.1 x 10^1)(4.3 x 10^-6)​
allsm [11]

Answer:0.0001333

Step-by-step explanations :

8 0
3 years ago
What is the common ratio for this geometric sequence 3,12,48,192,... A 16 B. 3 C. 4 D. 9
hram777 [196]

Answer:

4

Step-by-step explanation:

The common ratio is  found by taking the second term and dividing by the first term

12/3 = 4

We can check by taking the third term and dividing by the second

48/12 = 4

The common ratio is 4

3 0
3 years ago
Which expression is equivalent to 4×4×4×4?
Lady bird [3.3K]
8*4 
I hope that helps !
So, 4*4*4*4 = 16+16 which is 32
4 0
3 years ago
Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.
Sonja [21]
<h3>Answer:  Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\

Segment AB is exactly \sqrt{17} units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2)  = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\

Segment AB has a slope of 1/4.

Do the same for BC

B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2)  = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0
2 years ago
Read 2 more answers
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