Answer:
d
Step-by-step explanation:
F(x)=2(x+10)=24
2(x+10)=24
divide 2
x+10=12
minus 10
x=2
D
Total number of animals at the shelter = 15 + 12 +3 + 5 = 35 animals.
Let the total number of animals be represented by 100%
There are 15 dogs and 12 cats so:
% Number of dogs = 15/35 x 100% = 42.86%
% Number of cats = 12/35 x 100% = 34.28%
Based on the bisection of line BC by point A, the value of x is 10/3
<h3>How to determine the value of x?</h3>
The given parameters are:
- Point A bisects BC
- BA = 6x - 3
- AC= 3x + 7
Because the point A bisects BC, then
BA = AC
Substitute the known values in the above equation
So, we have
6x - 3 = 3x + 7
Collect the like terms
6x - 3x = 3 + 7
Evaluate the like terms
3x = 10
Divide both sides of the equation by 3
x = 10/3
Hence, based on the bisection of line BC by point A, the value of x is 10/3
Read more about bisectors at:
brainly.com/question/6725549
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Answer:
Probability of choosing one club and one spade = 0.6025
Step-by-step explanation:
Total number of cards= 52 cards
For the first event
Probability of choosing a club
Toatal club = 13 cards
Probability of choosing a club
= 13/52
Probability of choosing a club
= 1/4
Probability of choosing a club
=0.25
For the second event
Probability of choosing a spade
Toatal spade = 13 cards
Probability of choosing a spade
= 13/52
Probability of choosing spadep
= 1/4
Probability of choosing a spade = 0.25
Probability of both = 0.25*0.25
Probability of both = 0.6025