Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administrati
2 answers:
Answer:
h less-than 2
Step-by-step explanation:
Let
h ---> the number of hours
y ---> the total charge in dollars
we know that
The linear equation is slope intercept form is equal to
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
we have
<em>Grayson</em>
The slope is equal to
The y-intercept is
so
The total charge is equal to
----> equation A
<em>Ian</em>
The slope is equal to
The y-intercept is
so
The total charge is equal to
----> equation B
For what number of hours does Grayson charge more than Ian?
The inequality that represent this situation is
solve for x
Group terms
Divide by 10 both sides
Rewrite the expression
----> h less than 2 hours
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Answer:
(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.
Step-by-step explanation:
Given that all the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over.
This implies that boxes are in multiples of 12
i.e. 12, or 24, or 36 or....
Let us say this as 12m for m an integer
Now additional boxes arrived =60
Total number of boxes now =
This when arranged in stacks of 14,nothing left out
Or this is multiple of 14
for some positive integer n.
By trial and error we find that if 60 is to be divided by 14, 24 should be added and 24 is a multiple of 12.
So we say originally 24 boxes were there now 84 boxes there.
Hence both options are right.
(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.