If Ann can build the model in 3 hours, then in 1 hour she gets 1/3 of it done. Likewise, if Sam can build the model in 6 hours, then in 1 hour he gets 1/6 of it done. We are looking to find how long it takes when they combine their efforts, so we will add the two together and set it equal to 1/x, x being the number of hours it takes for both of them to get the whole job done. The equation then looks like this: 
. You will have to find the common denominator to add those fractions, and once you do, cross multiply to solve for x.
Answer:
$1,216
Step-by-step explanation:
Costs for Handsome Homes fabric
Area (sq. ft.) Cost (dollars)
(x) (y)
250 475
500 950
750 1,420
1000 1,900
If you divide any y-value by its corresponding x-value, the quotient will be 1.9
This means that each square foot costs $1.90 at Handsome Homes
Discount Diggers = 20% per sq. ft. less than Handsome homes
Discount Diggers = $1.90 - 20%
Discount Diggers = $1.90(100 - 20%)
Discount Diggers = $1.90(0.8)
Discount Diggers = $1.52
Now that it is known how much 1 square foot of fabric costs at Discount Diggers, we need to find how much 800 square feet of fabric costs.
$1.52 = 1 sq. ft.
$1.52(800) = 800 sq. ft.
$1,216
800 square feet of landscape fabric at Discount Diggers costs $1,216
Hope this helps :)
Answer:
balloons= 9
candles= 8
Step-by-step explanation:
let the number of balloons be x
and candles be y
So
15x+8y=192----------1
x+y=17--------------2
from 2, x= 17-y
put x= 17-y in 1
15( 17-y)+8y=192
255-15y+8y=192
solve for y
-7y=192-255
-7y=-63
x=63/7
x=9
put x= 9 in 1
9+y=17
y= 17-9
y=8.
Answer:
<em>1</em><em> </em><em>second</em><em> </em>
Step-by-step explanation:
<em>16t</em><em>^</em><em>2</em><em>+</em><em>64t</em><em>=</em><em>80</em>
<em>16t</em><em>^</em><em>2</em><em>+</em><em>64t-80</em><em>=</em><em>0</em>
<em>64</em><em>^</em><em>2-4</em><em>(</em><em>16</em><em>)</em><em>(</em><em>-80</em><em>)</em>
<em>9216</em>
<em>-64-96</em>
<em>______</em><em> </em><em>=</em><em> </em><em>-5</em>
<em> </em><em> </em><em> </em><em>32</em>
<em>-64</em><em>+</em><em>96</em>
<em>_______</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>sec</em>
<em> </em><em> </em><em> </em><em> </em><em>32</em>
