What is 17/30 simplifying please please please help me

Answers

Answer 1

Answer: you can't simplify the 30 has no common factors

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Evaluate expression -2+12-2^3/2^0*3
132 is 80% of what number

Compare 3.21 and 0.2

Answers

3.21 is greater than 0.2

3.21 is greater than 0.2.

3.21 > 0.2

The cost of Jacquie's gym membership is $20 per month. Jacquie gets a 10% discount of the monthly cost in any month in which she refers a friend who also becomes a member. How much does Jacquie save in a month when one of her friends joins the gym? help please A.S.P.A

Answers

$2

10%->.10

20x0.10=(2)
Jacquie saves up $2 if she refers a friend.

Dorothy has a mysterious ? button on her calculator. When she types in an integer and hits the ? button, if the input is odd, the calculator outputs 1 less than triple the input. if the input is even but not divisible by 4, the calculator outputs 1 more than half the number. if the input is divisible by 4, the calculator outputs one-fourth of the input. Dorothy typed in an integer, hit the ? button, and saw an output of $3. What are all possible integers Dorothy may have input?I got the answer

Answers

The correct answer is:

12.

Explanation:

Let x be the integer she inputs.

"One less than triple the input" would be 3x-1.

She gets 3 as the output; this means 3x-1=3.

To solve this, add 1 to each side:
3x-1+1=3+1
3x=4

Divide both sides by 3:
3x/3 = 4/3
x=4/3 = 1 1/3.

This will not work, however, as it is not an integer.

"One more than half the number" is 1/2x+1. Since she gets 3 as the output, this gives us:
1/2x+1=3

Subtract 1 from each side:
1/2x+1-1=3-1
1/2x=2

Divide both sides by 1/2:
$((1)/(2)x)/((1)/(2))=(2)/((1)/(2))\n\nx=2/ (1)/(2)$

When dividing fractions, flip the second fraction and multiply:
x=2÷(1/2) = 2×(2/1) = (2/1)×(2/1) = 4/1 = 4

While this is an integer, this does not work either, because this expression is for inputs that are even but not divisible by 4. This is divisible by 4, so it is not accurate.

"One-fourth of the input" is 1/4x. The output is 3, which gives us:
1/4x =3

Dividing both sides by 1/4, we have:
$((1)/(4)x)/((1)/(4))=(3)/((1)/(4))\n\nx=3/ (1)/(4)$

When dividing fractions, we flip the second fraction and multiply:
x=3÷(1/4) = 3×(4/1) = (3/1)×(4/1) = 12/1 = 12

This expression is for an input that is divisible by 4. 12 is divisible by 4, so this is accurate.

Final answer:

Given the scenario, no valid integer input would result in an output of $3 from Dorothy's ? button on her calculator. The three conditions specified do not match any integer when the output is $3.

Explanation:

Given that the output of the ? button on Dorothy's calculator is $3, one thing that could have been input and fit one of the conditions is 4, because when an integer is divisible by 4, the calculator outputs its one-fourth. Since 4 is divisible by 4 and one-fourth of 4 equals 1, that's not correct. Now let's check the condition for even numbers not divisible by 4. The calculator outputs 1 more than half the number. So, if we plug in $3 as the output and solve the equation, we get: 3 = 1 + 1/2 (input). Solving for the input, we get 2*2 = 4, which is still wrong. So, finally, we check the condition for odd numbers. Here, the calculator outputs 1 less than triple the input. Substituting $3 as the output, we solve for the input: 3 = 3*(input) - 1. Solving for input, we get input = 4/3, which is not an integer. Therefore, there could not have been an integer input that resulted in a $3 output in this case.