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2 years ago

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Three girls search for geodes in the desert. corinne collected 11 1/8 pounds, ellen collected 4 5/8 pounds, and leonda collected

3 3/4 pounds. how much more did corinne colloect than the other two girls combined?

1 answer:

jeyben [28]2 years ago

4 0

9 3/4. Is the answer

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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

2 years ago

Mrs. Dalton needs 1/2 cup mixed nuts for her granola recipe. She only has a 1/4 cup measuring cup. Write the equivalent fraction

Sonbull [250]

1/4 = .25

1/2 = .50

If you multiply 1/4 by 2, it is equal to 2/4 or .50 .

If you want to simplify, 2/4 divided by 2 equals 1/2.

Actual equivalent fraction: 2/4
Simplified: 1/2

Hope I was able to help!

5 0

2 years ago

Find the value of x<br> 6x + 12<br> 3x - 3

Shalnov [3]

Answer:

19°

Step-by-step explanation:

<u>Concept</u><u> </u><u>Used </u><u>:</u><u>-</u>

The measure of a straight line is 180°. So the sum of angles on a straight line is 180° .

Using this ,

$\bf\implies 6x + 12 + 3x - 3 = 180\\\\\bf\implies 9x + 9 = 180\\\\\bf\implies 9x = 180-9 \\\\\bf\implies x =\dfrac{171}{9} \\\\\bf\implies\boxed{\red{\bf x = 19 }}$

<h3>Hence the value of x is 19°</h3>

3 0

3 years ago

What is the sum?

faltersainse [42]

The answer is the last one 5x-12/(x+3)(x-3)

5 0

3 years ago

Read 2 more answers

How I start step by step

valentina_108 [34]

It’s finding the area but with more numbers so start from the bottom and work your way up

3 0

2 years ago