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
If we round it
1) 7 people
2) 4 people
3) 5 people
Answer:
The change in degrees Fahrenheit for every change of one minute.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
1. 
2.
<em>factoring 96</em>
<em>since
</em>
3. 
<em>using exponent rule -
</em>
<em>
</em>
4. 
<em>doing some simple simplification and
and 6=2*3</em>
5. 
<em>collecting the roots on one side and applying exponent rule</em>
6. 
<em>Applying exponents rule on all
and
</em>
<em>7.
</em>
<em>combining all powers of 2</em>
8. 
<em>Simplifying</em>
9. 
10. 
11. 
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex
In this problem we have
(h,k)=(1,-4)
substitute

we have
An x-intercept of (-1,0)
substitute and solve for a




The equation is

<u><em>Verify the y-intercept</em></u>
For x=0


The y-intercept is the point (0,-3) -----> is correct
using a graphing tool
see the attached figure