For this case we have the following system of equations:
Equating both equations we have:
We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:
Then, the factorized equation is of the form:
Thus, the solutions are:
We look for solutions for the variable "y":
Thus, the system solutions are given by:
ANswer:
Answer:
A pile of pennies
Step-by-step explanation:
Okay so first you have to subtract 17000 from 9200 to see how much money you have left to spend. Then once you get that number, which is 7800, you have to see what's that maximum number of acres that you can get. So you divide 7800 from 41.00 and you can get your answer. Your answer will be 190 acres. 190 acres is the highest you can go without going over budget.
Answer:
3/8
Step-by-step explanation:
3 1/3 = 10/3
1 1/4 = 5/4
Remember when dividing by a fraction you can also multiply by its reciprocal meaning flip the numerator and denominator.
so
(3 1/3) / (1 1/4) = (10/3) / (5/4) = (10/3) x (4/5) which is the same as (3/10) x (5/4)
= (3 x 5) / (10 x 4) = 15 / 40
the numerator and denominator have a common factor of 5 so divide the numerator and denominator by 5
15 / 40 = 3/8
If #peaches = x and #plums = y we can write the following equations:
x+y=15
0.89x + 0.39y = 8.85
and x and y are whole numbers.
converting the first to x=15-y and plugging it into the second, you get
0.89(15-y) + 0.39y = 8.85 =>
13.35 - 0.89y + 0.39y = 8.85 =>
4.5 = 0.5y =>
y = 9
so x = 15-9 = 6
She bought 9 plums and 6 peaches.
