Let the daily played number of pop songs be P, the number of rock songs be R and the number of hip-hop songs be H.
i)
"A radio station plays a total of 272 pop, rock, and hip-hop songs during a day"
means that : P+R+H=272
ii)
"The number of pop songs is 3 times the number of rock songs. "
so, P=3R
iii)
"The number of hip-hop songs is 32 more than the number of rock songs."
means: H=32+R
iv)
since both P and H can be written in terms of R, we have:
P+R+H=272
(3R)+R+(32+R)=272
3R+R+32+R=272
5R+32=272
5R=272-32=240
R=240/5=48
vi)
thus: P=3R=3*48=144, H=32+R= 32+48=80
Answer:
48 Rock, 144 Pop and 80 Hip-hop
Answer:
x = -4
Step-by-step explanation:
16 = 4*4 = 4²
64 = 4 * 4* 4 = 4³
As bases are same, compare exponents
6x + 48 = -6x
Subtract 48 from both sides
6x = -6x - 48
Add '6x' to both sides
6x + 6x = -48
12x = -48
Divide both sides by 12
x = -48/12
x = -4
A more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs is the; use the cross sections of the actual sphere, and to not use the cylindrical slabs.
<h3>What is a Cylinder?</h3>
A Cylinder is a surface created by projecting a closed two-dimensional curve along an axis intersecting the plane of the curve.
Sphere
This is a regular three-dimensional object in which every cross-section is a circle; the figure described by the revolution of a circle about it's diameter.
Therefore, the use of cross sections of the actual sphere is a more accurate method for approximating the volume of the spherical slab.
Learn more about cylindrical slab:
brainly.com/question/9554871
#SPJ1
Answer:
6⅔ minutes
Or, 6 minutes 40 seconds
Step-by-step explanation:
X/10 + X/20 = X/T
(2X+X)/20 = X/T
3X/20 = X/T
3/20 = 1/T
T = 20/3
T = 6⅔ mins
Answer:
The question is open ended as i suppose since there are infinitely many possibilities. one possible form of the solution can be 
Step-by-step explanation:
The base in this case is 5 while the exponent is simply the power to which the base is raised in which case it would be 2. Both values are positive and the exponent is less than the base.
