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k0ka [10]
2 years ago
10

76 less than the quotient of an unknown number and five is 116

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
8 0
N
-     -76=116 
5

If the question gives you another variable, just switch it out with n
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Why 10^33/2=5*10^32? Explain, pls. :(
german

Answer:

see below

Step-by-step explanation:

10^33/2

Rewriting the numerator as 10 * 10 ^ 32

10 * 10 ^32

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

2

10/2 = 5

5 * 10 ^32

Therefore

10^33/2=5*10^32

4 0
2 years ago
There are 7 acts in a talent show.
lara31 [8.8K]

Answer:

<u><em></em></u>

  • <u><em>Event A: 1/35</em></u>
  • <u><em>Event B: 1/840</em></u>

<u><em></em></u>

Explanation:

<u>Event A</u>

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first <em>four acts</em> can be scheduled is:

          C(m,n)=\dfrac{m!}{n!(m-n)!}

         C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35

And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).

Therefore the<em> probability of Event A</em> is:

           P(A)=1/35

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which <em>four acts </em>can be scheculed when the order matters is:

           P(m,n)=\dfrac{m!}{(m-n)!}

         P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840

The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)

Therefore, <em>the probability of Event B</em> is:

            P(B)=1/840

7 0
3 years ago
If 7x+2a=3x+5a then x is equivalent to what
solniwko [45]

7x+2a=3x+5a

7x-3x = 5a -2a

4x = 3a

x = 3a/4

4 0
3 years ago
Read 2 more answers
Sketch the graph of y+2=1/2(x-3)
valentina_108 [34]

Answer:

Step-by-step explanation:

y= 1/2x + −7/2

5 0
2 years ago
Need help ASAP to this math question about how many gallons it will take to fill a pool
NARA [144]
1 cubic foot = 7.48 gallons

hence
\frac{7.48 gal}{1 ft^3} =1

unit conversion
\frac{3000 ft^3}{} \times \frac{7.48 gal}{1 ft^3} =  3000 \times 7.48 gal

3000 x 7.48 =22440
3 0
3 years ago
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