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.
Answer:
36
Step-by-step explanation:
we know that the interior angles equal 180 and that the triangles are congruent so, 66 + 78 = 144 so then we have to subtract 180 - 144 and that gives us 36
Hope I helped :)
Lets use a rule of three simple with direct proportion to solve:
20 boxes -----> 15 min
100 boxes ----> x
x = (100)(15)/20
x = 75
therefore it takes 75 mins to stack 100 boxes
If we use fractions to solve:
15/20 = x/100
and solve for x.
20/15 = 100/y
solve for y
