Answer:
There are 96 large tents and 60 small tents
Step-by-step explanation:
Here, we want to calculate the number of tents of each sizes there
Let the number of 6-boys tent be s and the number of 4-boys tent be f
6s + 4f = 816 ••••••(i)
Ratio of large to small ( ratio of s to f)
8:5 = s/f
8/5 = s/f
8f = 5s
f = 5s/8 ••••(ii)
Substitute ii into i
6s + 4(5s/8) = 816
6s + 5s/2 = 816
Multiply through by 2
12s + 5s = 1,632
17s = 1632
s = 1632/17
s = 96
f = 5s/8
f = (5 * 96)/8 = 60
Answer:
a) Rumble: $1
Pedal: $0.6
b) more than 5 songs
c) No, should be integers only
d) No, has to be integers greater than or equal to 2
Step-by-step explanation:
Part a
Rate per song is the slope.
Rumble:
Slope is 0.6
Rate is $0.6 per song
Pedal:
Slope: (4-2)/(2-0) = 1
Rate is $1 per song
Part b
Pedal would be a better deal if it's cost is lower than Rumble's
Rumble's cost: C = 2 + S
Pedal's cost: C = 4 + 0.6S
4 + 0.6S < 2 + S
0.4S > 2
S > 5
c) No, because no. of songs has to be positive integers only.
For example graph shows S = 2.5, but we know that's not possible
d) No, since the cost is 2 + S,
cost can't be in decimals either.
Cost too should be only integers greater than equal to 2
Answer: 10
<u>Step-by-step explanation:</u>
÷
= 
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= 
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= 
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= x
= 
= 10
<span>(<span><span>−x</span>+4</span>)</span><span>(<span>x−8</span><span>) is the simplest form.</span></span>
