Answer:
D. 192
Step-by-step explanation:
This problem involves a few steps. First, you need to determine how many eighth graders you have given that 112 represent 70% of the total number of eighth graders. You can solve this using a proportion:
Cross-multiply and divide: 70x = 11200 or 70x/70 = 11200/70 or x = 160
Since there are 160 total eighth graders and this is of the amount of seventh graders, we can set up an equation to solve for the total amount of seventh graders:
160 = x
Multiply by the reciprocal of your fraction on both sides:
x 160 = x ()
Solve for x: x = 192 seventh graders
<u>Answer:</u>
The total amount that Eunice paid is $1027.2
<u>Explanation:
</u>
Given the price of the couch is $1200
She was charged a sales tax of 7% and got a discount of 20% because the store was having a sale
Price after sales tax and discount can be calculated
by the formula =
Solving,
= $1027.2
Therefore, Eunice paid a final price of $1027.2 after tax and discount.
If the container is divided into 12ths you should make that your common denominator.
So 1/4 now equals 3/12
Since we want this 3/12 to be empty we must subtract it from 12/12 leaving us with 9/12.
When we subtract 2/12 from 9/12 to get the amount that was already filled we get 7/12 which is the amount that needs to be filled.
To check we add our parts 2/12 and 7/12 to get 9/12 which is 3/4 of the container filled leaving 3/12 or 1/4 of the container empty.
Hope this helps ☺
Answer:
Step-by-step explanation:
This is a separable equation with an initial value i.e. y(3)=1.
Take y from right hand side and divide to left hand side ;Take dx from left hand side and multiply to right hand side:
Take t as a dummy variable, integrate both sides with respect to "t" and substituting x=t (e.g. dx=dt):
Integrate on both sides:
Use initial condition i.e. y(3) = 1:
Taking exponents on both sides to remove "ln":