To solve for area of a triangle u multiply base times height times 1/2
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
5 cm = 2km
Scale= 5 cm : 200000 cm
= 1 : 40000
a. 1 : 40000 = x : 500000
x = 12.5 cm
b.1 : 40000 = 2 : x
x = 80000 cm
x = 0.8 km
Answer:
Step-by-step explanation:
12n2+48n=−n3−64
Step 1: Subtract -n^3-64 from both sides.
12n2+48n−(−n3−64)=−n3−64−(−n3−64)
n3+12n2+48n+64=0
Step 2: Factor left side of equation.
(n+4)(n+4)(n+4)=0
Step 3: Set factors equal to 0.
n+4=0
n=−4
