The answer is 9n^2- 60p + 100p^2
Answer: the number of roses sold is 69 while number of tulips is 37
Step-by-step explanation:
Let x represent the number of roses that the flower shop sold.
Let y represent the number of tulips that the flower shop sold.
The number of roses sold was 5 less than twice the number of tulips sold. This means that
x = 2y - 5 - - -- -- - - - - - ;1
If the shop sold 106 flowers in total, it means that
x + y = 106
Substituting x = 106 - y into equation 1, it becomes
106 - y = 2y - 5
3y = 106 + 5 = 111
y = 111/3 = 37
x = 106 - y = 106 - 37
x = 69
Answer:
54°
Step-by-step explanation:
180° - 52° - 30° = 98°
180 - 98° - 28° = 54°
Answer:
Number of 12$ Shares? 25
Number of 14$ Shares? 57
Step-by-step explanation:
Let x = number of $12 shares.
Let y = number of $14 shares.
"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098
The number of $14 shares is seven more than twice the number of $12 shares.
y = 2x + 7
We have a system of equations.
12x + 14y = 1098
y = 2x + 7
We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.
12x + 14(2x + 7) = 1098
12x + 28x + 98 = 1098
40x = 1000
x = 25
There are 25 $12 shares.
y = 2x + 7 = 2(25) + 7 = 57
There are 57 $14 shares.
Check:
25 × $12 + 57 × $1`4 = $300 + $798 = $1098
The total value is correct, so the answer is correct.
