So the way you would find it is a ratio.
1.
2. =(6)(17)/(2.5)
3. =102/2.5
4. =40.8
So the building would be 40.8 feet tall.
X-2y=-12
x+6y=20
we can cancel x's
multiply first equation by -1 and add to 2nd equation
-x+2y=12
<u>x+6y=20 +</u>
0x+8y=32
8y=32
divide both sides by 8
y=4
sub back
x-2y=-12
x-2(4)=-12
x-8=-12
add 12 both sides
x=-4
(x,y)
(-4,4)
Answer:
The system of equations is :
Equation 1-
Equation 2-
Number of vinyl doghouse = 5
Number of treated lumber doghouse =12.5
Step-by-step explanation:
Let x be the number of vinyl doghouses
y be the number of treated lumber doghouses
→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.
Equation 1-
→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.
Equation 2-
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1
Put value of x in equation 2
Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5
Answer:
1980
We can choose 2 men from 9 in 36 in ways.
We can choose 2 women from 11 in 55 ways.
For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.
If you're wondering how i got the numbers i used the combination formula:
C(n, k) =