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horrorfan [7]
3 years ago
8

How many feet are in 24 yards? A. 2 B. 72 C. 288 D. 8

Mathematics
2 answers:
Alinara [238K]3 years ago
8 0
1 yard=3 feet
24 yards=
24 yards=24 times yards=24 times (3feet)=24 times 3 times feet=72 times feet
<span>72 feet is the answer</span>
alexandr1967 [171]3 years ago
5 0
Hey there,

There are 3 feet in 1 yard.

3 ft = 1 yard.

So, if we do 3 × 24, that would give us 72.

\boxed{72} would be your correct answer.

Hope this helps.


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Help me please someone
Gelneren [198K]
What you need help with

7 0
3 years ago
Suppose we want to choose 4 colors, without replacement, from 18 distinct colors.
amm1812

Answers:

  • (a) 73440
  • (b)  3060

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

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

  • 18 choices for slot A
  • 17 choices for slot B
  • 16 choices for slot C
  • 15 choices for slot D

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

_nP_r = \frac{n!}{(n-r)!}

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

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

Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

_nC_r = \frac{n!}{r!(n-r)!}

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

_nC_r = \frac{_nP_r}{r!}

which can be rearranged into

_nP_r = r!*\left( _nC_r \right)

these formulas are handy to help us go back and forth between nCr or nPr.

8 0
2 years ago
Find the value of x in the triangle shown above ​
zalisa [80]
The answer is A. 4
in this equation you use pythagoreans theorem

x^2-8^2=9^2

x^2-64=81

81-64=17

square x^2 square 17

x=4.12 rounded to 4
5 0
2 years ago
The scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft
NNADVOKAT [17]

Answer:

17 in

Step-by-step explanation:

.5 in : 6 ft

204/6 x .5 = 17

8 0
2 years ago
Someone help me figure this out
Lena [83]

-6, because you can see a pattern in which the x coordinate of each pair is reversed to the opposite value, from positive to negative.

5 0
3 years ago
Read 2 more answers
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