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german
3 years ago
7

Is this a function why or why not?

Mathematics
1 answer:
Naily [24]3 years ago
6 0
Yes, it is a function because each input has only one output.

Hope it helps!
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THE RATIO OF ANNUAL INCOMES OF A AND B IS 4 :3 AND THEIR ANNUAL EXPENDITURE IS 3 :2 IF EACH OF THEM SAVES SHILLINGS 1000 A YEAR
pickupchik [31]

<u>Answer:</u>

Annual Income of A=4x=4*1000=4000

and

Annual Income of B=3y=3*1000=3000

<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=4x and Income of B=3x

If ratio of expenditure of A and B is 3:2

then let expenditure of A=3x and expenditure of B=2x

Therefore,

      4x-3x=1000...........Eq(1)

and 3x-2x=1000..........Eq(2)

subtracting Eq(1) and Eq(2), we get

4x-3y=1000\\-(3x-2y)=1000\\......................\\x-y=0

x=y.....Eq(3)

putting x=y in Eq(1), we get value of x as

4x-3x=1000

x=1000\\thus, y=1000 \\ because x and y are equal in Eq (3)

Now, Annual Income of A=4x=4*1000=4000

and Annual Income of B=3y=3*1000=3000

7 0
3 years ago
Write an algebraic equation to solve for the triangle’s height. Area of the triangle =36.8 inches . Height is x and base is 4.6
Minchanka [31]
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
3 0
3 years ago
George had $127 in his checking account on Thursday. He got paid on Friday and deposited $130.00 into his checking account. Then
Pavel [41]

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.

7 0
4 years ago
What is this problem17-3(w+5)=6(w+5)-2w<br> Answer
Basile [38]

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

6 0
4 years ago
Madison buys some five-cent stamps and some ten-cent stamps for a total of $1.00. She receives 13 stamps. How many five-cent sta
tiny-mole [99]
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
3 0
3 years ago
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