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2 years ago

Describe the transformation using words

Mathematics

1 answer:

nata0808 [166]2 years ago

7 0

Answer:

The type of transformation that is used here is translation. Translation is when one shape slides to another location. According to the picutre, the shape is the same size and not rotated. Therefore, it is a translation.

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A donut store has 11 different types of donuts. You can only buy a bag of 3 of them, where each donut has to be of a different t

MakcuM [25]

Answer:

$165$ .

Step-by-step explanation:

Since repetition isn't allowed, there would be $11$ choices for the first donut, $(11 - 1) = 10$ choices for the second donut, and $(11 - 2) = 9$ choices for the third donut. If the order in which donuts are placed in the bag matters, there would be $11 \times 10 \times 9$ unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type $3 \times 2 \times 1 = 6$ times.

For example, if a bag includes donut of type $x$ , $y$ , and $z$ , the count $11 \times 10 \times 9$ would include the following $3 \times 2 \times 1$ arrangements:

$xyz$ .
$xzy$ .
$yxz$ .
$yzx$ .
$zxy$ .
$zyx$ .

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count $11 \times 10 \times 9$ by $3 \times 2 \times 1 = 6$ to find the actual number of donut combinations:

$\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}$ .

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of $3$ objects from a set of $11$ distinct objects:

$\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}$ .

5 0

1 year ago

Plzzz help me i need to do this for homework thank you :)

Rashid [163]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b:

$y=\displaystyle-\frac{4}{3}x+b$

Determine the y-intercept (b):

$y=\displaystyle-\frac{4}{3}x+b$

To find the y-intercept, plug in the given point (6,14) and solve for b:

$14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22$

Therefore, the y-intercept of the line is 22. Plug this back into $y=\displaystyle-\frac{4}{3}x+b$ :

$y=\displaystyle-\frac{4}{3}x+22$

I hope this helps!

5 0

2 years ago

Jenny bought 3 CDs that were each the same price. Including sales tax, she paid a total of $45.30 Of that total, $1.50 was tax.

enot [183]

Answer:

$13.6

Step-by-step explanation:

Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.

It is given that including sales tax, she paid a total of $45.30.

Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.

Since the tax for all 3 CDs was same, the total amount of tax that she paid was:

3 * 1.50 = 4.50

Therefore the total tax on 3 CDs is $4.50

Since we already know the total price she paid for the CDs including taxes, we can find the price of each CD by the following way:

3x + 4.50 = 45.30

3x = 45.30 - 4.50

3x = 40.8

x = 13.6

Therefore the price of each CD before tax is $13.6.

5 0

2 years ago

How do you divide 6114 by 63

viva [34]

You put it in a calculator and you get 97.06349206.

8 0

2 years ago