Answer:
True
Step-by-step explanation:
Hi, the statement is true, because to divide a fraction we have to turn the second fraction upside down and multiply them. Since a whole number x can be written as x/1, it also applies to the case of dividing a fraction by a whole number.
We can prove it with an example.
Dividing a unit fraction by a whole number
1/2 ÷ 2 = (1x1) / (2x2) = 1/4
Multiplying the unit fractions by a unit fraction with a whole number as a denominator
1/2 x 1/2= (1x1) / (2x2) = 1/4
Answer:
The value remain unchanged.
Step-by-step explanation:
By Z score, we mean:
Z = 
, if we substitute the given values of mean and standard deviation, we obtain the z score value. That is,
Z = 
= 85/12 = 7.083333.
NB: We assume that mean and standard deviation are in the same units.
Answer:
Hours inequality (solution set): 0 ≤ x ≤ 7
Cost inequality: $2 ≤ y ≤ $100
Step-by-step explanation:
The babysitter charges $14 dollars per hour + bus fare
Price per hour = $14
Bus fare = $2
Mr. Tyler wants to spend no more than $100
Subtract the bus fare from the total amount, as that will not contribute to the babysitter's hours
$100 - $2 = $98
Divide by $14 per hour
$98 ÷ $14 = 7 hours
The maximum amount of time that Mr. Tyler could hire the babysitter for is 7 hours
This means that the hours cannot be greater than 7. It is given that x cannot be less than 0, because the babysitter cannot work negative hours.
0 ≤ x ≤ 7
This inequality shows that the Mr. Tyler will not have the babysitter work for less than 0 hours, or more than 7 hours. He will have to pay $2 minimum, or $100 max. Below is the inequality to represent this:
(y represents amount Mr. Tyler will pay)
$2 ≤ y ≤ $100
Hope this helps :)
Answer: Smallest: 10 pints. Medium: 6 quarts. Largest: 2 gallons.
