12/x = 52/48
12 * 48 = 52x
x = 11.07 This is one way to do it.
Let the time = x
Let the part of the lawn = y
The general equation
y = k*x
52/100 = k * 12
k = 0.043333
y = 0.043333*x
y = 0.043333* 11.08
y = 0.48 which is what it should be.
Yet another way is to let y = kx
52 = k*12
k = 52/12
k = 4.33333333
y = 4.333333 * x
y = 4.333333 * 48
48 = 4.333333 * x
x = 11.07 which is just what you should expect.
Each week, a cook purchased 12 LBS. of Butter:
During the Last year: (12 Months):
Cook Paid:
Little: $23.04
Much: $29.40, For Butter he or she purchased in a week:
Question: is: what is the Difference between, the Greatest price per pound, and the least price per pound of butter the cook paid within the last year?
EQUATION:
Least Paid / 12 =====> 23.04 /12
Most Paid / 12 ======> 29.40 / 12
Divide:
23.04 / 12 = 1.92 / LB
29.40 / 12 = 2.45 / LB
Now Subtract:
2.45 - 1.92
Answer ======> 0.53 is the difference, between the greatest price per round, and least price per round of butter the cook would have paid within the last year.
Hope that helps!!! : )
Answer:A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links. A graph with 10 vertices (or nodes) and 11 edges (links).
Step-by-step explanation: (The vertex formula is derived from the completing-the-square process, just as is the Quadratic Formula. In each case, memorization is probably simpler than completing the square.) For a given quadratic y = ax2 + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then evaluating y at h to find k.
This is my answer. Good luck!
Answer:
The first number is <u>18</u> and the second number is <u>27</u>.
Step-by-step explanation:
Given:
A first number is nine less than a second.
The sum of the numbers is 45.
Now, to find the numbers.
Let the second number be 
And the first number be 
The sum of the both numbers is 45.
According to question:
⇒ 
⇒ 
<em>Adding both sides by 9 we get:</em>
⇒ 
<em>Dividing both sides by 2 we get:</em>
⇒ 
<u><em>The second number = 27</em></u>.
Now, to get the first number we put the value of 
:
Therefore, the first number is 18 and the second number is 27.
