Answer:
35 tickets at $35, 72 tickets at $25
Step-by-step explanation:
x+y=107 -> 5x+5y=535
45x+25y=3375
simplify, divide by 5 to get
9x+5y=675
Substract
9x+5y=675
- 5x+5y=535
4x=140 -> x=35
y=107-35 = 72
Answer:
for what you have you need to add one more $10 bill.
or make it total $120.25
good luck!!
Considering the slopes of the segments, the correct option is:
D. No, because the triangle ABC doesn't have a pair of perpendicular sides.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:
- mAB = (-7 - 9)/(11 - 1) = -8/5.
- mAC = (3 - 9)/(-9 - 1) = 3/5.
- mBC = (3 - (-7))/(-9 - 11) = -1/2.
No sides are perpendicular, hence option D is correct.
More can be learned about slopes at brainly.com/question/20847660
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Answer:
Step-by-step explanation:
The volume of a sphere is
We are told our volume is 500pi/3, so we fill that in and solve for r:
Start by multiplying both sides by 3 over 4 pi:
Simplifying gives us
Take the cubed root of both sides to get that
r = 5
When you have factors in shapes you must remember:
circumference and perimeter are in one unit measures
area is in squared units
volume is in cubed units
So, when the circumference of A is 4 times that of C there is a factor of 4.
Since we need to know the area the factor 4 will change to a factor of 4² since area is a squared unit.
The solution is 4²=16, the are of circle A is sixteen times the area of circle B.
