Answer:
The gardeners should buy 45 white hydrangeas and 104 pink hydrangeas.
Step-by-step explanation:
Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.
So, x + y = 41 {Given} ........... (1)
Again, for another flower bed they want to plant 108 hydrangeas, where the number of white ones is 2 times that of Middleton Place Gardens and the number of pink ones is 3 times that of Middleton Place Gardens.
So, 2x + 3y = 108 ........ (2)
Now, solving equations (1) and (2) we get,
3y - 2y = 108 - 82 = 26
⇒ y = 26
And from equation (1) we get,
x = 41 - 26 = 15.
So, the total number of white hydrangeas the gardeners have to buy is (x + 2x) = 3x = 3 × 15 = 45.
And the total number of pink hydrangeas the gardeners have to buy is (y + 3y) = 4y = 4 × 26 = 104. (Answer)
9514 1404 393
Answer:
2.25
Step-by-step explanation:
Add the square of half the x-coefficient to complete the square.
(-3/2)² = 9/4 = 2.25
<u>Answer:</u>
E(n) = n + 5
<u>Explanation:</u>
The profit is the difference between the amount of money received as a revenue and the amount of money spent as expenses.
<u>This means that:</u>
Profit = Revenue - Expenses
<u>Rearrange the formula to solve for the expenses, we get:</u>
Expenses = Revenue - Profit
<u>We are given that: </u>
Revenue = R(n) = 18n
Profit = P(n) = 17n - 5
<u>Substitute in the above formula to get the formula for expenses as follows:</u>
E(n) = R(n) - P(n)
E(n) = 18n - (17n-5)
E(n) = 18n - 17n + 5
E(n) = n + 5
Hope this helps :)
Answer: One-Half of the sweaters are blue.
Step-by-step explanation: Half of 6 is 3.
Because the discriminant is less than zero, there are no real solutions in the equation.
