b + p = 14 and 0.80 b + 2 p = 20.80 are the system of equations.
Step-by-step explanation:
Step 1 :
Let b be the number of bananas
Let p be the number of peaches
Given that the total of bananas and peaches that Emily bought = 14
Hence we have,
b + p = 14
Step 2 :
Cost of one banana = $0.80
Cost of one peach = $2
Cost of all the bananas and peaches Emily bought = $20.80
So sum of b bananas costing $0.80 and sum of p peaches costing $2 each is $20.80
Hence we have
0.80 b +2 p = 20.80
Solving for the above 2 equations we can get the value for b and p which will give the number of bananas and peaches bought
Step 3 :
Answer :
The system of equations that could be used to find the number of the bananas and the number of the peaches that Emily bought is given by
b + p = 14
0.80 b +2 p = 20.80
These questions are all of the same type: division. They ask to find how many of a number can fit in another number.
As for question 5, there are 42 pounds of dog food, and
pound of dog food is used for each feeding. To find the number of times Mr. Lash can feed his animals, divide 42 by
. The answer is 48.
Solving the rest of the questions by this method, here are the answers. If you wish you can do them yourself to verify your understanding.
6) 12
7) 4
8) 8
9) 2
Note: in question 9, the question is in reverse order compared to the other questions.
Answer:
the height is 5x-2
Step-by-step explanation:
factor 25x^2+10x-8=(5x-2)(5x+4)
![\frac{(5x-2)(5x+4)}{5x+4}](https://tex.z-dn.net/?f=%5Cfrac%7B%285x-2%29%285x%2B4%29%7D%7B5x%2B4%7D)
cancel like terms
height = 5x-2