Frank is 13 and his sister is 5.
Explanation:
Frank’s age: y=x+8
After 3 years, their ages will be y=x+11 and his sisters age, y=x+3.
In 3 years he will be twice as old.
Equation:
x+11=2•(x+3) -> x=5
Frank is now 5+8=13.
Answer:
The price of
1 adult ticket = $15
1 student ticket = $9
Step-by-step explanation:
Let
The price of adult tickets be represented by a
The price of student tickets be represented by s
Therefore:
On the first day of ticket sales the school sold 4 adult tickets and 10 student tickets for a total of $150.
4a + 10s = $150.... Equation 1
The school took in $105 on the second day by selling 1 adult ticket and 10 student tickets.
a + 10s = $105.... Equation 2
a = $105 - 10s
Therefore, we substitute : $105 - 10s = a in Equation 1
4a + 10s = $150.... Equation 1
4($105 - 10s) + 10s = $150
$420 - 40s + 10s = $150
Collect like terms
- 40s + 10s = $150 - $420
-30s = -$270
Divide both sides by -30
-30s/-30 = -$270/-30
s = $9
We find a
a = $105 - 10s
a = $105 - 10($9)
a = $105 - $90
a = $15
Therefore, the price of
1 adult ticket = $15
1 student ticket = $9
Answer:
202
Step-by-step explanation:
When taking a polynomial modulo
, you reduce its terms' coefficients modulo
, so that, in conjunction with the result above,
For completeness, the linear term's coefficient should also get reduced in the same way as the constant term, so that
Hour is independent and calories is dependent