Answer:
240 = 2 x 2 x 2 x 2 x 3 x 5 or 2^4x3x5
Step-by-step explanation:
240
/ \
2 120 (240 = 2 x 120)
/ \
2 60 (120 = 2 x 60)
/ \
2 30 (60 = 30 x 2)
/ \
2 15 (30 = 2 x 15)
/ \
3 5
Answer:
the paper need to be 16 inches
Answer:
Vertex is (-8, 4) not one of the answers offered!
Step-by-step explanation:
Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.
Complete the square by squaring half the coefficient of <em>x </em>and adding it in the space.
Add 64 in the space you made, then compensate for that at the end of the expression by <u>subtracting</u> 
The x-coordinate of the vertex is the <u>opposite</u> of +8, the number inside the parentheses. The y-coordinate of the vertex is the number at the end of the expression.
V(-8, 4)
For example a stands for the number of adult tickets, and s stands for the number of student tickets.
Write a system of equation based on the problem
An equation for "<span>A total of 679 tickets were sold for the school play"
</span>∴ a + s = 679 <em>(first equation)</em>
An equation for "<span>there were 71 fewer student tickets sold than adult tickets"
</span>∴ s = a - 71 <em>(second equation)</em>
<span>
Find the solution of the system
Subtitute s with a - 71 in the first equation to find the value of a
a + s = 679
a + a - 71 = 679
2a - 71 = 679
2a = 679 + 71
2a = 750
a = 750/2
a = 375
The number of adult tickets sold is 375</span>
old weight - decrease = new weight
decrease = weight * percent
decrease = 72 * .125 = 9 lbs
old weight - decrease = new weight
72 - 9 = new weight
63 lbs
A healthy weight for the dog is 63 lbs
