8x + 7 = 5
A "product" is the result of a multiplication operation. So the product of a number, ( which we will call x,) and 8 would be 8x. (Or 8*"x" number) 7 more than that product would be 8x + 7 = 5
Hope that this helps!
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.
Little tip ** if u r going from a larger shape to a smaller shape, the scale factor is going to be a proper fraction....a number less then 1 but greater then 0
BC = 66......EF = 11.......66 times what is 11
66x = 11
x = 11/66 reduces to 1/6
so 66 * 1/6 = 11
now compare the other sides...
42 * 1/6 = 7.......looks like AC and DF
72 * 1/6 = 12...looks like Ab and DE
so ur multiplying every number in the big triangle by 1/6 , and getting the measures of the little triangle....so ur scale factor is 1/6 <==
This question don’t make sense
