-y=8x
Since slope intercept form is the form: y=mx + b
And <span>-y=8x is basically -y=mx
All you have to do is divide -y by -1 so that the negative of the variable goes away.
Final Answer: y= -8x</span>
Answer:
75 minutes
Step-by-step explanation:
if it takes 30 minutes to paint 2/5 of the room, then it must take 15 minutes to paint 1/5 of the room.
15 * 5 = 75 minutes or 5/4 hours
Answer:
S(3)=22
Step-by-step explanation:
The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t).


When t=0, S(t)=15

When t = 2, S(t)=20

Therefore:

Answer:
length : 8 m
width : 13/2 = 6.5 m
Step-by-step explanation:
area of rectangle = l(ength)×w(idth) = 52
l = 2w - 5
=> (2w - 5)×w = 52
=> 2w² -5w - 52 = 0
we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4
=> (2w - 13)×(w + 4) = 0
=> 2 solutions for w :
2w-13 = 0
2w = 13, w = 13/2
w+4 = 0, w = -4
negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2
=> l = 2w - 5 = 13 - 5 = 8
Answer:
a) $7.27344
b) 263.974 hours
Step-by-step explanation:
a)
+) 1 day = 24 hours
+) The cost for 1000 watts each hour is $0.05051 so that each hour use of 1 watt costs: $0.05051 / 1000 = $0.00005051
+) Each hour, each electric heater uses 1200 watts costs: $0.00005051 x 1200 = $0.060612
=> In 24 hours, to heat each electricity heater costs: $0.060612 x 24 = $1.454688
=> In 24 hours, to heat 5 electricity heaters costs: $1.454688 x 5 = $7.27344
<em>So that it costs $7.27344 to heat her house for 1 day</em>
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b)
As calculated, the cost to use 1 watt in one hour is $0.00005051
=> The cost to use 75 watts in one hour is: $0.00005051 x 72 = $0.00378825
Assume that the hours of using 72 watts to cost $1 is x (hour)
So that: $0.00378825 * x = $1
=> x = 1/ 0.00378825= 263.974 hours
<em>It takes 263.974 hours for a 75-watt lightbulb to stay on to result in $1 electricity charges</em>
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