Answer:
$51.50
Step-by-step explanation:
<em>Let the amount that Phil give to her sister be
</em>
<em><u>After Phil's sister pays her debt of 10, Phil and her sister should have EQUAL amount. </u></em>So we can write the equation as:

Now solving this for x, we have:

Hence, Phil must give $51.50 to her sister.
Answer:
x = 4/3
Step-by-step explanation:
Direct variation:
y = kx
We use the given x-y point to find k.
6 = k * 2/3
k = 6 * 3/2
k = 9
The equation is
y = 9x
For y = 12,
12 = 9x
x = 12/9
x = 4/3
Answer:
15 360 people in State A and 58 560 in State B
Step-by-step explanation:
We have two conditions:
(1) A + B = 73 920
(2) B = 3A + 12 480
Solve the system of equations. Substitute (2) into (1).
A + 3A + 12 480 = 73 920 Subtract 12 480 from each side
4A = 61 440
(3) A = 15 360 Substitute (3) into (2)
B = 3×15 360 + 12 480
= 46 080 + 12 480
= 58 560
There are 15 360 people in State A and 58 560 in State B.
<em>Check:
</em>
(1) 15 360 + 58 560 = 73 920 (2) 58 560 = 3×15 360 + 12 480
73 920 = 73 920 58 560 = 46 080 + 12 480
58 560 = 58 560
Answer:
The new employee burn <u>1756 cookies</u> in the course of the day.
Step-by-step explanation:
Given:
Mr. Edwards hired a new employee to work in his bakeshop. In one hour, this employee burned 439 chocolate chip cookies, which represented 25 percent of all the cookies the employee burned in that day.
Now, to find the cookies the new employee burn in the course of the day.
Let the cookies the new employee burn in the course of the day be 
Number of chocolate chip cookies new employee burned = 439.
Percent this represented of all the cookies the employee burned in that day = 25%.
Now, to get the cookies the new employee burn in the course of the day we put an equation:



<em>Dividing both sides by 0.25 we get:</em>

Therefore, the new employee burn 1756 cookies in the course of the day.
Answer:
The one in the top left corner and bottom middle