Answer:
14
Step-by-step explanation:
Caitlin buys twice as many apples as oranges.

Apples cost 0.25 and Oranges cost 0.30, we have a maximum of 5 to spend.


Step-by-step explanation:
x = boys / y = girls / s = total number of students
x + y = s
3x + y - 8 = s
Maybe someone can improve upon this because this is all I know. Not the answer btw ^^^
Two triangles are similar if all corresponding sides are proportional.
Therefore, if it is given that sides are proportional, then the two triangles are similar.
This property of triangles is consistent and either true or false so sometimes is never an answer.
Since it is true , the answer is Always.
First, rearrange the equation so that only zero will be on the right side:
x^2 + 14x +24 = 0
Let the coefficients be:
a = 1
b = 14
c = 24
To complete the square, add (b/2)^2 to both sides of the equation:
(b/2)^2 = 49
x^2 + 14x + 49 + 24 = 49
x^2 + 14x + 49 = 25
(x+7)^2 = 25
Therefore, the solution set of the equation is {-12, -2}
Answer:
6 hours
Step-by-step explanation:
Let both of them plan for t hours to plant 111 trees n t hours
Melissa can plants 10 trees in 1 hour
in t hours she can plant 10 t trees
Jane plants 17 tree in 2 hours
in one hour Jane can plant 17/2 trees
in t hours she can plant (17/2)t trees.
Total trees planted by both of them in t hours in terms of t will be
10t + (17/2)t
= (10t*2 + 17t)/2
= (20t + 17t)/2
= 37t/2
but it is given that they planted 111 trees together
so 37t/2 should be equal to 111
37t/2 = 111
=> 37t = 111*2 = 222
=> t = 222/37 = 6.
Thus, it takes 6 hours for both of them to plant 111 trees together.