The fraction 12/20 express in its simplest form is:

Answers

Answer 1

Answer: the fraction 12/20 in its simplest form is 3/5

Answer 2

Answer: $(12)/(20)=(12:4)/(20:4)=(3)/(5)$

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One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

Answers

so x=5y
reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5
subsitute x=5y for x in 1/x+1/y=2/5 and get
1/5y+1/y=2/5
multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5
6/5y=2/5
multiply both sides by 5y
6=2y
divide both sides by 2
3=y
put this into x=5y so
x=5(3)
x=15
y=3

Which binomial must be added to (4r+10) so that the sum of the two polynomials is (6r-2) ?

Answers

Answer: 2r-12

Step-by-step explanation:

(4r+10)+____=(6r-2)

_____=(6r-2)-(4r+10)

_____=6r-2-4r-10

_____=2r-12

Which of the following is the solution to the equation 25^(z - 4) = 125 ? Select one: A. z = 5.5. B. z = 3.5. C. z = -2.5. D. z = -0.5.

Answers

given
25^(z - 4) = 125
ln(25^(z - 4)) = ln (125)
(z-4)ln(25) = ln(125)
z = ln(125)/ln(25) + 4
z = 5.5

which means that the answer is A.

The solution of 25^(z - 4) = 125 is equal to a. Z = 5.5

How to solve this equation

25^(z - 4) = 125

From here we have to the ln of the equation

z-4 ln25 = ln125

z-4 (3.219)= 4.828

From here we have to multiply the equation

3.219z - 12.876 = 4.828

3.219z = 4.828 + 12.876

When we divide this equation by 3.219

We have z = 5.499

Hence z = 5.5

Therefore the solution to the equation is given as 5.5

Read more on solutions to equations here:

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Your paycheck each week is $500.00. If you want to save $2000 in one year, how much should you set aside from each paycheck?

Answers

There are 52 weeks in a year. In order to figure out how much you have to save each week to save a total of $2000, you have to divide $2000 by 52.

2000÷52= 38.462

So to save $2000 you would have to set aside about $38.50 each week.

A ball is thrown into the air with an upward velocity of 44 ft/s. Its height h in feet after t seconds is given by the function $h=-16t ^(2) +44t+9$ . What is the height of the ball after 2 seconds?

Answers

$h=-16t^2+44t+9\n\nsubstitute\ t=2:\n\nh=-16\cdot2^2+44\cdot2+9=-16\cdot4+88+9=-64+97=33\n\nAnswer:33\ feets.$

$the\ function:\ \ h(t)=-16t^2+44t+9\n \n h=2\ \ \ \Rightarrow\ \ \ h(2)=-16\cdot 2^2+44\cdot 2+9=-16\cdot4+88+9=33\n \nAns.\ the\ height\ of\ the\ ball\ after\ 2\ seconds\ is\ 33\ feets$

A die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, then 5 times, and finally 7 times. Which experimental probability is consistent with this simulation?

Answers

The experimental probability is found as the average of the results of the experiments. To find the average you can just add the different results and divide by the number of times that the experiment was performed. So, you add (6/20 + 6/20 + 5/20 + 7/20= and divide by 4 (which is the number of times that the experiment was carried out). Applying the properties of the division of fractions, that is equal to [6 + 6 + 5 + 7] / (20*4) = 0.3. Answer: 0.3

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