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Answer:
<em>Probability that the spinner will stop on an odd number or a multiple of 5 is </em><em>0.6</em>
Step-by-step explanation:
Probability =
We are given the equal regions numbered from 1 through 20 which means that our total possible outcomes are 20
<em>Total possible outcomes: 20</em>
<em>Outcomes that spinner will stop on an odd number, n(Odd): 10</em>
1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Probability of spinner stoping on Odd number:
P(Odd) = =
=
= 0.5
Outcomes that spinner will stop on a multiple of 5, n(5): 4
5, 10, 15, 20
Probability of spinner stoping on multiple of 5:
P(5) = =
=
= 0.2
Odd numbers which are a multiple of 5 are: 5 and 15
So,
P(Odd and 5) =
Thus Probability of spinner stopping at odd number or a multiple of 5 becomes:
P(Odd or 5) = P(Odd) + P(5) - P(Odd and 5) = 0.5 + 0.2 - 0.1 = 0.6
Option A and B are correct.
Step-by-step explanation:
We are given the following systems of equation:
We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.
Checking the options:
a) Multiply the second equation by −2 to get −8x − 6y = −30
If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.
b) Multiply the first equation by 2 to get 4x + 12y = 24.
If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.
c) Multiply the second equation by −4 to get −16x − 12y = −60
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
d) Multiply the first equation by −4 to get −8x − 24y = −48.
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
So, Option A and B are correct.
Keywords: Solve System of equations
Learn more about solving system of equations at:
#learnwithBrainly
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where is the width and
is the length.
The perimeter of a rectangle is twice its length added to twice its width.
The length is 3 more than the width:
We can now substitute in as
in the equation
.
Distribute the first terms:
Combine like terms:
Subtract 6 from both sides:
Divide both sides by 4:
Now we know that w = 4. We can now substitute this inside an equation to find .
Hope this helped!