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r-ruslan [8.4K]
3 years ago
12

Reduce the fraction -20t5u2v3 / 48t7u4v .

Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0
Deal with the numbers and variables step by step 

-20/48  = -5/12
t5 / t7 = t^-2 = 1 /t2
u^2 / u^4 = u^-2 = 1/u^2
v^3 / v = v^2

so answer is      -5v^2 / 12t^2u^2
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6 (x + 2) = 4 (x − 5) pleaze help
nexus9112 [7]

Answer:

x=-16

Step-by-step explanation:

6x+12=4x-20

2x=-32

x=-16

8 0
3 years ago
Read 2 more answers
Which inequalities correctly show the relationship between the numbers 13, −4, and −17?
lutik1710 [3]

Answer:

13 > -17 < -4

Step-by-step explanation

13 = postive number

-17 and -4 = negtive.

13 is greater than -17

Since negtive is oppistie of postive it goes backwards.

So -4 is greater than -17

(Im new to this so Im not sure if it is correct)

3 0
3 years ago
Three fair dice are rolled, one red, one green and one blue. What is the probability that the upturned faces of the three dice a
r-ruslan [8.4K]

Answer:   \dfrac{5}{9}

Step-by-step explanation:

When we throw a die , Total outcomes =6

When we throw 3 dice , Total outcomes = 6 x 6 x 6 = 216 [by fundamental counting principle]

Given : Three fair dice are rolled, one red, one green and one blue.

Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed

By Permutations , the number of favorable outcomes = ^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120

The probability that the upturned faces of the three dice are all of different numbers = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

=\dfrac{120}{216}=\dfrac{5}{9}

The probability that the upturned faces of the three dice are all of different numbers  is \dfrac{5}{9} .

7 0
3 years ago
Find the prime factorization of 837.<br> ?
seraphim [82]

Answer:

The Prime Factorization is:

3 x 3 x 3 x 31

In Exponential Form:

33 x 311

Format:

3, 3, 3, 31

Step-by-step explanation:

5 0
3 years ago
To amend U.S. Constitution, 3/4 of the 50 states must approve the amendment. If 35 states approve an amendment, will the Constit
Elodia [21]
To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
<span>35/50 >= 3/4
</span>7/10 <span>>= 3/4
</span>now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
5 0
3 years ago
Read 2 more answers
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