9514 1404 393
Answer:
a) E = 6500 -50d
b) 5000 kWh
c) the excess will last only 130 days, not enough for 5 months
Step-by-step explanation:
<u>Given</u>:
starting excess (E): 6500 kWh
usage: 50 kWh/day (d)
<u>Find</u>:
a) E(d)
b) E(30)
c) E(150)
<u>Solution</u>:
a) The exces is linearly decreasing with the number of days, so we have ...
E(d) = 6500 -50d
__
b) After 30 days, the excess remaining is ...
E(30) = 6500 -50(30) = 5000 . . . . kWh after 30 days
__
c) After 150 days, the excess remaining would be ...
E(150) = 6500 -50(150) = 6500 -7500 = -1000 . . . . 150 days is beyond the capacity of the system
The supply is not enough to last for 5 months.
Answer:
Angle A: 45, Angle B: 110, and Angle C: 25.
Step-by-step explanation:
A triangle is 180 degrees total. One angle is 25 degrees. 180- 25 leaves us with 155 degrees. We know that one angle is more than 65 degrees. 155-65 is 90. 90/2 is 45. Therefore, x= 45. Angle A: 45, Angle B: 110, and Angle C: 25. We can double check our work by adding 45+110+25= 180
Since he sells 5 large cards for every 2 small, we can multiply the number of small cards he needs to sell by 2.5 to find how many large cards he needs to sell.
So let x=the number of small cards sold, and 2.5x=the number of large cards sold
The equation is:Total profit=x+(2.5x)
Since a small card is $2.5, a large card is $4, and the total profit will be $10,000 plug those in to make the equation:
10,000=2.5x+4(2.5x)
We can combine the x's to get 10,000=12.5x and then divide both sides by 12.5 to get x=800.
So he needs to sell 800 small cards.
Multiply that by that 2.5.
And he needs to sell 2000 large cards.
Now, lets first know this:-
0.875 = 875/1000
Lets simplify this:-
875/125 = 7
1000/125 = 8
7/8
Answer: 7/8
