Hi! Since it is asking for the total, you must add!
145+217=?
Answer:
Charlie can buy 14 hats at the sale price
Step-by-step explanation:
Let
h ----> the sale price of the hat
x ---> the regular price of the hat
we know that
----> equation A
so
Two hats at the regular price is equal to multiply 2 by x
Multiply by 2 equation A both sides
2 hats at the regular price cost the same that 14 hats at the sale price
therefore
Charlie can buy 14 hats at the sale price
Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as
In 1998, Cathy's age was
And it must be equal to the sum of the four digits
Rearranging
We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus
Operating
If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18
C - (x-3)^2=36
If we expand (x-3)^2=36:
(x-3)(x-3)=36
x^2-3x-3x+9=36
x^2-6x+9=36
Then subtract 36
x^2-6x-27=0
The number of minutes that Josie will take is 80 minutes.
<u>Explanation:</u>
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Explanation:
Ratio of the number of minutes to the number of miles =
Number of miles = 10
Number of minutes = ?
Let x be the number of minutes
According to the question,
Therefore, the number of minutes that Josie will take is 80 minutes.