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a_sh-v [17]
3 years ago
12

A kitchen pot holds a volume of 6 quarts. Is the volume of 4 kitchen pots greater than 5 gallons?

Mathematics
1 answer:
abruzzese [7]3 years ago
4 0
No, it would be the same because 6*4=24 then divide that by four and get 6

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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
X=-4 +6+ (11 +4(-3))
lapo4ka [179]

Answer:

x=1

Step-by-step explanation:

x = -4 + 6 + (11 + 4(-3)).

First get the numbers in the parentheses

x = -4 + 6 + (11 - 12)

Since 11 - 12 = -1. We can replace (11-12) with -1

x = -4 + 6 -1

Now add and subtract

x = 1

4 0
2 years ago
Have a wonderful day and here are free pts to make your day better &lt;3<br> 12 x 7 = ?
Rom4ik [11]

Answer:

its 84 but tysm thats so sweet

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the area of the following shape. (8 points)<br><br> what is the answer?
Ivenika [448]

Answer:

72 square units

Step-by-step explanation:

  1. Identify the height
  2. Identify the length
  3. Multiply those two together
  4. That is your answer

H = 9 units

L = 8 units

A = H × L

A = 9 × 8

A = 72 square units

8 0
2 years ago
Rafael wants to earn at least $45 trimming trees. He charges $8 per hour and pays $3 in equipment fees. What are the possible nu
pshichka [43]

Answer:

6\leqr

Step-by-step explanation:

45\leq8r-3

48\leq8r

6\leqr

8 0
3 years ago
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