Answer:
The width of the building is 50 lamps and 60 lamps will be needed.
Step-by-step explanation:
The perimeter is computed by the sum of the sides of the building, since the length and width are equal on the oposite sides of the building, the perimeter is given by:
perimeter = 2*length + 2*width
900 = 2*(400) + 2*width
2*width + 800 = 900
2*width = 900 - 800
2*width = 100
width = 100/2 = 50 feets
To know how many lights bulbs will be needed we need to take the perimeter of the building and divide it by the space between the lamps. We have:
number o lamps = 900/15 = 60 lamps
Answer:
I would change 2x+4y=24 into x=12–2y
To do that, divide both sides by 2 and then subtract 2y on each side.
After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.
Then solve.
3(12–2y)+2y=19
36–6y+2y=19
-4y+36=19
-4y=-17
y=4.25
Then, substitute y in either equation.
Either this:
3x+2y=19
3x+2(4.25)=19
3x+8.5=19
3x=10.5
x=3.5
Or:
2x+4y=24
2x+4(4.25)=24
2x+17=24
2x=7
x=3.5
Or you could solve it in the equation you created in the beginning:
x=12–2y
x=12–2(4.25)
x=12–8.5
x=3.5
The coordinates where the lines intercept are (3.5, 4.25).
Sorry for the long answer!
Step-by-step explanation:
Multiply $78 by by 65/100 to determine the original price.
78 can be put over 1.
<u>Multiply</u><u>:</u>

<u>Simplify by dividing the numerator and denominator by 100:</u>

The original price was $50.70.
The answer will be 388.6 because you will use the formula V=pi.r^2.h.
pi we know is 3.14 we also know that radius is half the diameter so half of 5 is 2.5 and the height is 9 so here is what we have so far. V=3.14x2.5^2x9.
2.5x2.5=13.75 13.75x3.14=43.175 43.175x9=388.575 and if we round that it will be 388.6 so your answer is 388.6