<u>Answer:</u>
Annual Income of A=
and
Annual Income of B=
<u>Step-by-step explanation:</u>
<u>Given Data:</u>
Ratio of annual income of A and B=4:3
Ratio of expenditures of A and B=3:2
Saving of A and B=1000
<u>Required:</u> Annual Income of A and B=?
<u>Solution:</u>
If ratio of income of A and B is 4:3
then let Income of A=
and Income of B=
If ratio of expenditure of A and B is 3:2
then let expenditure of A= and expenditure of B=
Therefore,
...........
and 
..........
subtracting Eq(1) and Eq(2), we get
putting 
in Eq(1), we get value of 
as
because x and y are equal in Eq (3)
Now, Annual Income of A=
and Annual Income of B=
The formula to find the Height of a triangle when you have the Area and the base is H = 2 * A/b
if the Area is 36.8 then divide it by 4.6. You get 8. put 36.8 in calculator first, then 4.6 = 8
2 x 8 = 16...so the answer should be 16 inches.
2 is in the formula to multiply to the number you get after dividing the base into the Area.
16 Answer
Answer:
The balance on George's checking account is $48.
Step-by-step explanation:
To find the balance on George's checking account after writing the checks, you have to take the initial balance and add the amount he got paid and subtract the amounts of the checks he wrote:
Checking account balance=$127+$130-$167-$42
Checking account balance=$48
According to this, the answer is that the balance on George's checking account is $48.
Answer:
w = -4
Step-by-step explanation:
Solve for w:
17 - 3 (w + 5) = 6 (w + 5) - 2 w
-3 (w + 5) = -3 w - 15:
-3 w - 15 + 17 = 6 (w + 5) - 2 w
Grouping like terms, -3 w - 15 + 17 = (17 - 15) - 3 w:
(17 - 15) - 3 w = 6 (w + 5) - 2 w
17 - 15 = 2:
2 - 3 w = 6 (w + 5) - 2 w
6 (w + 5) = 6 w + 30:
2 - 3 w = 6 w + 30 - 2 w
Grouping like terms, 6 w - 2 w + 30 = (6 w - 2 w) + 30:
2 - 3 w = (6 w - 2 w) + 30
6 w - 2 w = 4 w:
2 - 3 w = 4 w + 30
Subtract 4 w from both sides:
2 + (-3 w - 4 w) = (4 w - 4 w) + 30
-3 w - 4 w = -7 w:
-7 w + 2 = (4 w - 4 w) + 30
4 w - 4 w = 0:
2 - 7 w = 30
Subtract 2 from both sides:
(2 - 2) - 7 w = 30 - 2
2 - 2 = 0:
-7 w = 30 - 2
30 - 2 = 28:
-7 w = 28
Divide both sides of -7 w = 28 by -7:
(-7 w)/(-7) = 28/(-7)
(-7)/(-7) = 1:
w = 28/(-7)
The gcd of 28 and -7 is 7, so 28/(-7) = (7×4)/(7 (-1)) = 7/7×4/(-1) = 4/(-1):
w = 4/(-1)
Multiply numerator and denominator of 4/(-1) by -1:
Answer: w = -4
Let f= number of five cent stamps
let t=number of ten cent stamps
total spent is 5f+10t=100
total stamps bought is f+t=13
5f+10t=100
f+t=13
f=13-t
5(13-t)+10t=100
65-5t+10t=100
5t=35
t=7
f+t=13
f+7=13
f=6
6 five cent stamps and 7 ten cent stamps
