Yes, $40 is a reasonable amount to pay for the cab fare.
<em><u>Explanation</u></em>
Sheri’s cab fare was $32 and the percentage of gratuity is 20%
So, the amount of gratuity will be: 
Thus, <u>the fare of the cab including the gratuity</u> will be: 
As Sheri wrote a check to the cab driver for $40 , it means she paying ($40 - $38.40) or <u>$1.60 more to the cab driver</u>. So, the $40 check is a reasonable amount to pay for the cab fare.
2times1 because 2.75 take the 75 off and 1.25 take the 25 off so you multiply 2 and 1 so 2times1 equals 2
Answer:
The value of x is 10
Step-by-step explanation:
We can use a system of equations to solve this.
Cups of 25% bleach solution used = x
Cups of 1-% bleach solution used = 5
Cups of solution we get = y
The first equation becomes:
x + 5 = y
Using the decimal forms of each percentage solution
25% solution for x cups = 0.25x
10% solution for 5 cups = 0.1(5)
20% solution for y cups = 0.2 y
The second equation becomes:
0.25x + 0.1(5) = 0.2y
So the system of equations is:
x + 5 = y
0.25x + 0.1(5) = 0.2y
Solve both equations simultaneously to find the values of x and y:
x = 10 cups
y = 15 cups
Answer:
The formula to determine the population of penguins at the end of the 7th year is:
Step-by-step explanation:
With this information, we know that the initial population at end of year 0 is 1000 penguins.
The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.
We can then model the population for the end of year 1 as:
As this dynamic will continue with the years, we can generalize as:
Then, the value of the population at the end of the 7th year should be:
Answer:
38
Step-by-step explanation:
We can express the 8th term as x and the 12th term as y.
This would mean that 8x=12y
Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y
Now we can use this to substitute y with x in the first equation. This would give us:
8x=12(x-8)
Which we can expand and solve:
8x=12x-96
-4x=-96
Therefore x=24
This means the 8th term is 24 and the 12th term is 16 (24-8).
To test if this is correct we can do:
8x24=12x16
Which indeed are equal, both sides multiply to 192.
Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)
24+14=38.
The first term is 38.
Hope this helped!
