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BartSMP [9]
3 years ago
15

Solve. Show all your steps. 1/8x=1/2

Mathematics
2 answers:
Llana [10]3 years ago
7 0
    x = 4Rearrange:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 
                     1/8*x-(1/2)=0 
Step by step solution :Step  1  :            1 Simplify   —            2Equation at the end of step  1  :   1         1  (— • x) -  —  = 0    8         2Step  2  :            1 Simplify   —            8Equation at the end of step  2  :   1         1  (— • x) -  —  = 0    8         2Step  3  :Calculating the Least Common Multiple : 3.1    Find the Least Common Multiple 
      The left denominator is :       8 
      The right denominator is :       2 
the answer is 4
Rashid [163]3 years ago
4 0
So you would divide 1/8 on both sides so you would get 

1/8x divided by 1/8=1/2 divided by 1/8
and your answer will be

x=4
hope this helps
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Factor the trinomial 10x^2 + 11x - 6
emmainna [20.7K]

Answer:

Step-by-step explanation:

10  x²+11x-6

=10 x²+15x-4x-6

=5x(2x+3)-2(2x+3)

=(2x+3)(5x-2)

3 0
3 years ago
What is 2.161616 as a fraction?
Komok [63]

repeating fraction, nice

2.16161616...=2+0.16161616...
solve the repeating part
let's say x=0.16161616
2 places repeat, multiply x by 10^2 or 100
100x=16.161616

now subtract x from taht
100x-x=16.161616-0.16161616
the repeats cancel and we get
99x=16
divide both sides b 99
x=16/99

so
16/99=0.16161616...

2+16/99 is the fraction
if ya wanted 1 fraction then
2+16/99=
198/99+16/99=
214/99

2.161616=214/99
8 0
3 years ago
A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb
Maksim231197 [3]

Answer:

a) P(X = 1) = 0.38742

b) P(X = 3) = 0.05740

c) P(X = 9) = 0.00000

d) P(X \geq 5) = 0.00163

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem

There are 10 containers, so n = 10.

A food-packaging apparatus underfills 10% of the containers, so p = 0.1.

a) This is P(X = 1)

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

b) This is P(X = 3)

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

c) This is P(X = 9)

P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000

d) This is P(X \geq 5).

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

P(X < 5) + P(X \geq 5) = 1

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742

So

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837

Finally

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163

3 0
3 years ago
Ian has the choice of taking out a 25-year loan for $205,000 at 3.2% interest, compounded monthly, or the same loan at 20 years
PolarNik [594]
B. Less than $93,077
4 0
2 years ago
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A 6-kilograms<br> bag of potting soil costs $4.08. What is the unit price?
Yanka [14]

Answer:

$0.68 or 68 cents

Step-by-step explanation:

4.08/6 = .68

5 0
2 years ago
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