And is C
Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment.
Answer:
291.87 is a rational number.
Step-by-step explanation:
Rational numbers are those numbers that can be expressed in fractions that is can be written as 
where p and q are integers and 
.
Consider the given number 291.87
Rewrite the decimal number as a fraction with 1 in the denominator, we get,
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10² = 100
Thus, the above fraction can be written as,
Thus, 291.87 is a rational number.
If Log x (1 / 8) = - 3 / 2, then x is equal to
x- 3 / 2 = 1 / 8
The above equation may be rewritten as
x<span> - 3 / 2</span> = 1 / 23 = 2-3
(√x)-3 = 2-3
√x = 2 or x = 4
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.
