If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.
We already know that there are 12 sandwiches.
If there are 3 turkey and 5 veggie then there's 8 out of 12 sandwiches that aren't ham.
12 sandwiches - 8 non-ham sandwiches = 4 ham sandwiches
Now we know there are 4/12 ham sandwiches
We need to simplify this now.
4/12 can be divided by 4
4 goes into 4 1 time and 4 goes into 12 3 times making the answer 1/3
1/3 of the sandwiches are ham.
Answer:
Please, see the attached file.
Thanks.
Step-by-step explanation:
-5x-8y=40
This is a linear equation, and its graph is a right line, we only need two points, because by two points only goes trough only a right line:
1) For x=0→ -5(0)-8y=40
0-8y=40
-8y=40
Dividing both sides of the equation by -8:
-8y/(-8)=40/(-8)
y=-5
Point=(x,y)→Point=(0,-5)
2) For y=0→ -5x-8(0)=40
-5x-0=40
-5x=40
Dividing both sides of the equation by -5:
-5x/(-5)=40/(-5)
x=-8
Point=(x,y)→Point=(-8,0)
With these two points (0,-5) and (-8,0) we can draw the right line.
First, you factor and simplify (respectively) the numerator and denominator. Your equation becomes:

Notice, there is a (x + 7) on both the top and the bottom. Because of this, they cancel each other out. What is left is your answer: