Solve the following system of equations:
1 answer:
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Answer:
Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
- We know
, so two factors are 1 and 35.
- We know
, so two factors are 5 and 7.
Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be since there are two factors and 6 possible options.
This means, logically, there is a chance of not rolling a factor of 35.
Hope this helped!
Let
x--------> the amount of gummy candy in pounds
y--------> the amount of jelly beans in pounds
z--------> the amount of hard candy in pounds
we know that
--------> equation
--------> equation
--------> equation
Substitute equation in equation
and equation
----->
------> equation
----->
------> equation
using a graphing tool ------> Solve the system of equations
see the attached figure
the solution is the point
<u>Find the value of x</u>
therefore
<u>the answer is</u>
the amount of gummy candy is
the amount of jelly beans is
the amount of hard candy is
