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:
The scale of the drawing is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of an house on a scale drawing in square inches
y ---> the actual area of the house in square feet
we have
substitute
simplify
square root both sides
therefore
The scale of the drawing is
Answer:
10%
Step-by-step explanation:
2937 ÷ 2670 = 1.1
1.1 - 1 = 0.1
Knowing base angles theorem, we know that if the triangle is isosceles, then the bottom base angles and congruent. That means that, we must subtract 80 from 180 and then divide the number by 2, since we must find 1 base angle. This brings us to the answer, 50 degrees.
Hope this helps! <3
