Let number of plastic containers collected by fourth grade= x
Then number of plastic containers collected by fifth grade students=x-216
OR
If number of plastic container collected by fifth grade is y
then number of plastic container collected by fourth grade=y+216
So, we can write it as follows
⇒ number of plastic containers collected by fourth grade= number of plastic containers collected by fifth grade +216
Answer:
2a: (c)
5o: (1, 3) and (1,1)
3a: (b)
1a: (d)
4o: (b)
Step-by-step explanation:
2a: the equation of a circle circumference needs to be transformable to the form 
where 
is the center and <em>r</em> is the radius. (a) and (d) can’t be it because they contain non-zero factors on <em>xy</em>. (b) isn’t an equation.
5o: just put the given (<em>x</em>, <em>y</em>) into the equations and see if it holds. (2, 3) isn’t on the circumference of (1) because 
, (3, 1) isn’t on it either because 
.
3a: calculate the value of the left-hand side term of the equation using (<em>x</em>, <em>y</em>) from the given point <em>M</em>. That’s the difference of square distance to the center to the square radius 
. Thus it’s 0 if the point is on the circumference, negative if inside and positive if outside. You get 
, positive, so it’s outside the circle.
1a: see definition from 2a. Here, 
.
4o: insert the y from the straight line equation (r) (which can be equivalently transformed to 
) into the circumference equation. If it yields no solution, that’s outside, it there’s exactly one solution, that’s a tangent and if there are two solutions, it’s a secant. 
There are two solutions, so it’s a secant.
Answer:
The first option: 3x = 3 + 2x
Step-by-step explanation:
The question answers itself. In short:
x is our unknown number.
If three times a number (3x) is (=) three more (3) than (+) twice the number (2x).
The answer would be 14
Explanation:
If you look on a number line and start from 15 then from there you minus 6 which equals 9 then you minus 5 which equals 4 and add 10 which equals 14 and that 14 is on the positive side of the number line. So 14 is your answer.
Answer:
Step-by-step explanation:
D = 8 cm
r = 8/2 = 4 cm
h = 18 cm
Surface area = 2πr(h + r)
=2*π * 4 * ( 4 + 18)
= 2*π*4*22
=176π cm²
