<u><em>Answer:</em></u>
She stayed awake for 295 minutes today
<u><em>Explanation:</em></u>
<u>We are given that:</u>
Yesterday, she drank one cup
Today, she drank 
of a cup more than yesterday
<u>This means that:</u>
Number of cups she drank today = 
Now, we know that she drinks 
of a cup per hour any time she is not sleeping
We use cross multiplication to get the time she took to drink 
cups
1 hour ...........................> of a cup
?? hours ......................> cups
Time taken = 
This means that she was awake for 
hours
<u>Finally, we convert this to minutes:</u>
Knowing that 1 hour has 60 minutes, therefore:
She stayed awake for 
minutes
Hope this helps :)
Answer:x=2
Step-by-step explanation:
change () to x
x + -8= -6
-6+8=2
x=2
Answer:
y=x+4
Step-by-step explanation:
So, let's start with the fact that we have two numbers. Let's call one of them "x" and the other one "y." Let's also assume that "y" is the larger number and "x" is the smaller number.
We know that both of them added together (the sum) gives us 74. Mathematically, that means:
x+y=74.
We also know that the larger number ("y") is 4 more than the smaller number ("x"). Another way to say this is, if you have the smaller number and add 4 more to it, you'll end up with the larger number. Mathematically, this means:
y=x+4
Since we know that y=x+4, we can put "x+4" into the first equation for "y", giving us:
x+(x+4)=74
Simplifying gives us:
2x+4=74
-4 -4
---------
2x=70
--- ---
2 2
x=35
Since we now know that x=35, and we know that y=x+4, we now know that:
y=(35)+4
y=39
Now that we have both of the numbers, we should check our work to ensure it's correct:
Does 39+35=74? Yes it does.
Is 39 (the larger of the two numbers) four more than the smallest number (35)? Yes it is.
Divide 22.2 by 4 since the perimeter is the outside and there are 4 edges
Answer:
Interest Rate on 2-Year Loan...$435.6
Interest Rate on 5-Year Loan...$1,452
Step-by-step explanation:
The formula for calculating simple interest is as follows.
I = P x R x T,
where I = interest
P= Principal
R= interest rate
T= time
For the loan at 4.5 percent for 2 years, the interest will be
= $4,840 x 4.5/100 x 2
= $4,840 x 0.045 x 2
= $435.6
Total cost of the loan will principal plus interest
=$435.6 + $4,840
=$5,275.6
Monthly loan cost
= $5,275.6/24
=$219.81
Total loan cost..$5,275.6
Monthly loan cost ...$219.81
For the Loan at 6 percent for 5 years, the interest will be
= $4,840 x 6/100 x 5
= $4,840 x 0.06 x 5
=$1,452
Total cost of the loan will be principal plus interest
=$ 4,840 + $1,45
=$6,292
Monthly costs will be
=$6,292/60
=$104.87
Total loan cost... $6,292
Monthly loan costs... $104.87
