Question:
In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?
Answer:
Probability that a bird will win the top prize is 0.167
Step-by-step explanation:
Given:
The number of dogs = 7
The number of cats = 6
The number of birds = 3
The number of gerbils = 2
To Find:
Probability that a bird will win the top prize = ?
Solution:
Let us first find the total number of pets .
The Total number of pets = 7 + 6 + 3 + 2 = 18
Now the probability of a bird will win the top prize is
=> 
=>
=> 
=>0.167
Answer:
Yes
Step-by-step explanation:
Answer:
Find out the how much did each roll of crepe paper cost .
To prove
Let us assume that the cost of the roll of crepe paper be x.
Let us assume that the cost of the balloon be y .
As given
For party decorations, you buy 6 rolls of crepe paper and 20 balloons for $11.90.
Than the equation becomes
6x + 20y = 11.90
As given
After you start decorating, you determine that you need more party decorations.
You buy 2 more rolls of crepe paper and 15 more balloons for $6.05.
Than the equation becomes
2x + 15y = 6.05
Than two equations are
6x + 20y = 11.90 and 2x + 15y = 6.05
Multiply 2x + 15y = 6.05 by 3 and subracted with 6x + 20y = 11.90
6x - 6x + 45y -20y = 18.15 - 11.90
25y = 6.25
y = $0.25
Put in the equation 2x + 15y = 6.05
2x + 15 × 0.25 = 6.05
2x = 6.05 - 3.75
2x = 2.3
x = $1.15
Therefore the each roll of crepe paper cost is $1.15 .
The sum of the measures of the angles is 180 degrees.
75 + -5w + 125 + 4w + 85 = 180
Combine like terms.
285 - w = 180
Subtract 285 from both sides.
-w = -105
Divide both sides by -1.
w = 105
