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Mrac [35]
2 years ago
5

In a train yard, there are 6 flat cars, 7 boxcars, and 3 livestock cars. A train is made up of 9 cars. Which would you use to fi

nd the number of ways the train could be made up?
A. 16P9

B. 16P7

C. 9P16

D. 9P7
Mathematics
2 answers:
zheka24 [161]2 years ago
5 0

the answer for this question isC.9p16.

ollegr [7]2 years ago
3 0

Answer:

Option A

Step-by-step explanation:

In a train yard there are 6 flat cars, 7 box-cars and 3 livestock cars.

So total number of cars = 6 + 7 + 3

                                       = 16

Now a train is to be made by 9 cars, out of 16 cars.

So number of ways the train can be made up will be =^{n}P_{r}

where n = 16 and r = 9

so number of ways =^{16}P_{9}

Option A is the answer.

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A supermarket soup can display consists of 5 levels of
serg [7]

A supermarket shop cans display consists of 5 levels of  stacked cans. In the display, each level has  4 more cans than the level above it-the total number of cans in display are (b) 100

Step-by-step explanation:

Given that ,

The display consists of 5 levels of  stacked cans- <u>which means that there are 5 levels in which the stacked cans are displayed .</u>

so,the no:of levels are 5

Now given that level has  4 more cans than the level above it.

so. the number of cans in a single level = 5*4=20

Now we know that the total number of level is 5  so we multiply 20 withe the number of levels of can stacked

==>20*5=100

<u>Thus we can say that the total number of cans in display are (b) 100</u>

8 0
2 years ago
What is the simplified form of the ninth root of x times the ninth root of x times the ninth root of x times the ninth root of x
Tomtit [17]
Let's convert the task into an example, simplifyng which will make us able to get the answer.
So, according to the task: \sqrt[9]{x} *  \sqrt[9]{x} *  \sqrt[9]{x} *  \sqrt[9]{x} &#10;&#10;=   \sqrt[1/ 9 ]{x} *  \sqrt[1/9]{x} *  \sqrt[1/9]{x} *  \sqrt[1/9]{x}

Now we can simplify: \sqrt[1/9]{x} + 1/9+1/9+1/9&#10;&#10;= x^{4/9}

So the answer is  <span>C:x to the four ninths power</span>
6 0
2 years ago
Read 2 more answers
4 lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point
lianna [129]

Answer:

The Answer is B

Step-by-step explanation:

Edgenuity ;)

4 0
2 years ago
Two containers are mathematically similar.Their volumes are 54cm³ and 128cm³.The height of the smaller container is 4.5cm.Calcul
alexira [117]

Answer:

6 cm

Step-by-step explanation:

If the linear scale factor of two solids is k, then the volume scale factor is k^3.

The volume scale factor is 128/54 = 64/27 = (4/3)^3.

The linear scale factor is 4/3.

4.5 cm * 4/3 = 6 cm

Answer: The height of the larger container is 6 cm.

8 0
2 years ago
Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives
Fofino [41]

Answer:

A) ∃y(¬P(y))

B) ∀y(P(y) ^ Q(y))

C) ∀y(P(y) ^ Q(y))

D) ¬∃y(P(y) ^ Q(y))

E) ∃y(¬P(y) ^ Q(y))

Step-by-step explanation:

We will use the following symbols to answer the question;

∀ means for all

∃ means there exists

¬ means "not"

^ means "and"

A) Something(y) is not in the correct place is represented by;

∃y(¬P(y))

B) For All tools are in the correct place and are in excellent condition, let all tools in the correct place be P(y) and let all tools in excellent condition be Q(y).

Thus, we have;

∀y(P(y) ^ Q(y))

C) Similar to B above;

∀y(P(y) ^ Q(y))

D) For Nothing is in the correct place and is in excellent condition:

It can be expressed as;

¬∃y(P(y) ^ Q(y))

E) For One of your tools is not in the correct place, but it is in excellent condition:

It can be expressed as;

∃y(¬P(y) ^ Q(y))

8 0
2 years ago
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