Answer:
176
Step-by-step explanation:
In order to find these kinds of problems, you need to divide the given number by the percentage in its decimal form.
25% = 0.25
44/0.25 = 176
To check your work, simply take the answer and multiply it with the percentage.
176*0.25 = 44
4n + 8 = n - 7
(In which 'n' represents the unknown number)
(4n + 8): "Eight more than the product of four and a number"
(= n - 7): "Is equivalent to seven less than the same number in equation form."
Subtract 8 from both sides:
4n = n - 15
Subtract n from both sides:
3n = -15
Divide both sides by 3:
n = -5
The averages for each category can be calculated by taking the sum of the values and dividing by the number of values .
Jan Feb March
1)
wages <span>$2,100.00 $2,300.00 $2,000.00
sum of the values = 2100 + 2300 + 2000 = 6400
number of values = 3
average = 6400/3 = $ 2133.33
</span><span>2)
donations $210.00 $230.00 $200.00
</span><span>average = (210 + 230 + 200)/3
= $ 213.33
3)
mortgage $590.50 $590.50 $590.50
</span><span>average = ( 590.50 + 590.50 + 590.50)/3
= $ 590.50
4)
electricity $101.25 $89.75 $80.00
</span><span>average = (101.25 + 89.75 + 80.00)/3
= 271/3
= $ 90.33
5)
water $20.10 $22.30 $24.55
</span><span>average = (20.10 + 22.30 + 24.55)/3
= 66.95/3
= $ 22.32
6)
car loan $172.54 $172.54 $172.54
</span><span>average = (172.54 + 172.54 + 172.54)/3
= $ 172.54
7)
food $200.25 $220.70 $205.50
</span><span>average = (200.25 + 220.70 + 205.50)/3
= $ 208.82
8)
insurance $310.50 $0.00 $0.00
</span><span>average = ( 310.50 + 0.00 + 0.00)/3
= $ 103.50
9)
clothes $0.00 $0.00 $75.00
average = (0.00 + 0.00 + 75.00)/3
= $ 25.00
</span><span>10)
car license fee $0.00 $120.90 $0.00
average = (0.00 + 120.90 + 0.00)/3
= $ 40.30
</span><span>11)
newspaper $0.00 $0.00 $45.00
average = (0.00 + 0.00 + 45.00)/3
= $ 15.00
</span><span>12)</span><span>movies $18.00 $0.00 $36.00
average = (18 + 0.00 + 36.0)/3
= $ 18.00
</span><span>13)
new car $100.00 $100.00 $100.00
average = (100 + 100 + 100)/3
= $ 100.00
</span><span>14)
gasoline $80.00 $70.00 $75.00
average = (80.00 + 70.00 + 75.00)
= $ 75.00
</span><span>15)
car repairs $0.00 $119.00 $0.00
average = (0.00 + 119.0 + 0)/3
= $ 39.67
</span><span>16)
miscellaneous $64.50 $59.25 $72.50
average = (64.50 + 59.25 + 72.50)/3
= 196.25/3
= $ 65.42
</span><span>17)
savings $140.00 $140.00 $140.00
</span>average = ( 140 + 140 + 140)/3
= $ 140.00
Answer:
B and F
Step-by-step explanation:
Given
x² + 4x + 4 = 12 ( subtract 4 from both sides )
x² + 4x = 8
Using the method of completing the square to solve for x
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 8 + 4, that is
(x + 2)² = 12 ( take the square root of both sides )
x + 2 = ± 
( subtract 2 from both sides )
x = ± - 2
= ± 2
- 2
Hence
x = 2 - 2 → B
x = - 2 - 2 → F
Answer:
Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:
Substitute in known values:
And subtract. Hence:
In conclusion, ∠ABC measures 34°.
