Answer:
6%
Step-by-step explanation:
Interest = Principal × Rate × Time/100
$3780 = $7000(9)(rate)/100
63000rate = 378000
rate= 378000/63000
rate = 6% per annum (Answer)
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.
Y = -3x + 13
Steps and the graph are on paper
Basically you set it up 43/8+26/5. When you do that multiply 5 by 8 so the donominiter will be 40. Then multiply 5 by 43 which is 215 and 8 by 26 which is 208 so now you have the same donominiter... 215/40+208/40 add 215 to 208 that's 423/40 then you see how many times does 40 divide into 423 that's 10 and then you had 23 left so put 10 23/4 .if it was a case like 10 3/12 you could simplify it and that would be 10 1/4 ...
