Answer:
republicans
Step-by-step explanation:
Given, there are 60% democrats and republicans 40%
60% of the democrats voted for democrats and 95% of the republican voted for their candidate
therefore
% of votes that went for Democrats =0.6*0.6=0.36
= 36%
% of votes that went for Republics=0.4*0.95=0.38
= 38%
Since the republicans have more % of votes thus Republic's mayor runs city hall.
Answer:
Angle A: 30°
Angle B: 60°
Angle C: 90°
Step-by-step explanation:
Hopefully this helps! :)
Answer:
k = 5
Step-by-step explanation:
Since the equation is y = kx and x equals 3 while y equals 15, in order to solve this equation we are going to have to substitute the variables with their answers:
x = 3
y = 15
15 = 3k
Now we divide 3 from both 3x and 15 to segregate the variable x:
15/3 = 3k/3
5 = k
Now to check our work we are going to substitute 5 for the variable k, 3 for the variable x and 15 for the variable y.
y = kx
15= (5)(3)
15 = 15
Tada, I hope this helps you!
AB + BC = AC <em>Segment Addition Postulate</em>
(x + 10) + (x + 14) = 22 <em>Substitution</em>
2x + 24 = 22 <em>Simplify (added like terms)</em>
2x = -2 <em>Subtraction Property of Equality</em>
x = -1 <em>Divison Property of Equality</em>
Answer: x = -1
Answer:
$1000 + $25m and $1300 - 25m ;
1100 + 2.75m
2010 (4th month)
2011 ( 7th month)
Step-by-step explanation:
Joline's account :
Initial deposit = $1000
Monthly deposit = $25
Monthly withdrawal = $25
Number of months = 12
Let m = number of month at any point in time
Initial deposit + total deposit
Amount in Joline's account ; first 12 months
$1000 + $25m - - - (1)
Next 12 months :
$1000 + $25 *12 - 25m
1300 - 25m
Sofia's account :
Deposit amount = $1100
Interest per month = 0.25% = 0.0025
1100 + (1100 * 0.0025 * m)
1100 + 2.75m - - (2)
To find the month:
Equate equation 1 and 2, then find m
$1000 + $25m = 1100 + (1100*0.0025*m)
1000 + 25m = 1100 + 2.75m
25m - 2.75m = 1100 - 1000
22.25m = 100
m = 100 / 22.25
m = 4.494
In year 2010, they have approximately the same amount in the fourth month
1300 - 25m = 1100 + 2.75m
1300 - 1100 = 2.75m + 25m
200 = 27.75m
m = 200 / 27.75
m = 7.207
In 2011 ; they have approximately the se amount in the 7th month
