Hi there!
First, let's figure out how many feet are in the total amount of tape. This can be done by multiplying the amount of yards (4) and multiplying it by the amount of feet in a yard (3). This gives us 12 feet. Then, we need to subtract the amount of feet that are left (2). This gives us 10 feet.
ANSWER:
B - 10 feet
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
If youre solving for x i think its -1/7
slope is undefined
Answer:
The set of ordered pairs that is not a function is
a. {(1,-5), (2,-4),(1,-4)}
The reason is that it is not a function is because the function is supposed to be 1 to 1. Each x value for y value
Step-by-step explanation:
If Danielle wants to make a profit of $0.52 per pound at a selling price of $5.61 per pound, the cost of the mix must be $5.61 -0.52 = $5.09 per pound.
The proportion of the higher-priced ingredient will be
.. ((cost of mix) -(cost of lower-priced ingredient))/(difference in ingredient prices)
.. = (5.09 -2.66)/(6.17 -2.66)
.. = 2.43/3.51 = 9/13
Danielle should use (9/13*13 lb = 9 lb of jellybeans and 4 lb of chocolates.
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It is time-saving to remember the proportion described above. If you don't want to do that, there are a couple of other ways to get there. In general, it is preferred to solve for the quantity of higher-contributing item (here, higher-priced ingredient), as the numbers stay positive that way.
Alternate method 1. Assume the entire output is made up of lower-contributing item. Here, we want the mix cost to be (5.09/lb)*(13 lb) = 66.17. If the whole 13 lb is made of chocolate, the cost will be (2.66/lb)*(13 lb) = 34.58. The difference between these numbers is 31.59, and it must be made up by the contribution of jellybeans.
Each pound of jellybeans that replaces a pound of chocolate adds (6.17 -2.66) = 3.51 to cost of the mix. We need to add 31.59/3.51 = 9 pounds of jellybeans to the mix. Since 9 pounds of chocolate have been replaced by jellybeans, 4 pounds remain. The mix is 9 lb jellybeans, 4 lb chocolate.
Alternate method 2. Assign variables and write equations. Let j and c represent pounds of jellybeans and chocolate, respectively.
.. j + c = 13
.. 6.17j +2.66c = 5.09*13
We choose to solve for "j", so we make a substitution for "c".
.. 6.17j +2.66(13 -j) = 5.09*13
.. J(6.17 -2.66) = 13*(5.09 -2.66) . . . . collect j terms, subtract 13*2.66
.. j = 13*(5.09 -2.66)/(6.17 -2.66) . . . . this proportion should look familiar
.. j = 9
.. c = 13 -9 = 4
Answer:
Step-by-step explanation:
For Compound Interest with continuous deposit,
We have that:
Using Integrating factor: =
Taking Integrals from 0 to t
Now substituting back C
We have:
If initial deposit =$750, Continuous Deposit = 750, t= 4X 25 years=100