Answer: There are 41 students on each buss. Hope this helps!!
Step-by-step explanation:
4p + 3q - 3p - 3q =
1p will be the answer
4p plus -3p will equal 1p
3q plus -3q will equal 0
So the answer will be 1p or just p
Answer:
(x - 8)² = 20(y + 6)
Step-by-step explanation:
The focus of the parabola is (8,-1) and the equation of the directrix is y = - 11.
So, the parabola opens up and the axis of symmetry is x = 8 line.
Now, the axis of symmetry and the directrix meet at the point (8,-11).
So, the vertex of the parabola will be the midpoint of (8,-1) and (8,-11) i.e. (8,-6).
Now, half of the distance between the focus and the directrix is = a = 
units.
So, the equation of the parabola in vertex form will be
(x - 8)² = 4 × 5 × (y + 6)
⇒ (x - 8)² = 20(y + 6) (Answer)
The LCM of 7 and 12 is 84 and GCF of 56 and 96 is 8, 56+96 can be written as 8(19).
<h3>What is LCM?</h3>
It is defined as the common number of two integers, which is the lowest number that is a multiple of the two or more numbers. The full name of LCM is the least common multiple.
LCM of 7 and 12:
7 can be divided by 7
Factor of 12 is 2×2×3
So the LCM = 7×2×2×3 = 84
For GCF:
We know:
GCF(56, 96) = (56×96)/LCM(56, 96)
GCF(56×96) = (56×96)/672 = 8
= (56 + 96)
= 8(7+12)
= 8(19)
Thus, the LCM of 7 and 12 is 84 and GCF of 56 and 96 is 8, 56+96 can be written as 8(19).
Learn more about the LCM here:
brainly.com/question/20739723
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Answer:
the teacher bought 100 balloons, and 95 of them were left for the party.
Step-by-step explanation:
red balloons is given, 40.
first you find the green balloons.
<em>the number of green balloons is 3/5 the number of red balloons.</em>
3/5 * 40 = 24
so there are 24 green balloons.
next is yellow balloons.
<em>the number of green balloons is 2/3 the number of yellow balloons.</em>
24 = 2/3 * x
24 ÷ 2/3 = x
24 ÷ 2/3 = 36
there are 36 yellow balloons.
find the total balloons:
40 + 24 + 36 = 100
the teacher bought 100 balloons.
1/20 of the red balloons popped.
1/20 * 40 = 2
2 of the red balloons popped
1/12 of the green balloons popped
1/12 * 24 = 2
2 of the green balloons popped.
1/36 of the yellow balloons popped
1/36 * 36 = 1
1 yellow balloon popped
2 + 2 + 1 = 5
100 - 5 = 95
there were 95 balloons left for the party.
