Answer:
The cost per duck is $5.00 and $8.00 for chickens
Step-by-step explanation:
The equation would be like this:
50c + 30d = 550 (divide this by 10)
5c + 3d = 55
3d = 55 - 5c (multiply by 3)
9d = 165 - 15c
Next,
44c + 36d = 532 (divide this by 4)
11c + 9d = 133
11c + 165 - 15c = 133
11c - 15c = 133 - 165
-4c = -32 (divide by -4)
c = 8
Therefore, the cost of each chicken is $8.00
9d = 165 - 15c
9d = 165 - 15(8)
9d = 165 - 120
9d = 45 (divide by 9)
d = 5
Let S be the amount in a savings account.
Let m be the number of months.
General equation
S = 132 + 27m
Specific question
July is the 7th month of the year including both January and July.
S = 132 + 7*27
S = 132 + 189
S = 321
Reasonableness?
Good question. You could estimate an answer.
Start with 150 dollars and say that you add 25 a month.
7 * 25 = 175
S = 150 + 175 = 325 All of this was done in my head. Since the exact answer obtained using the formula is 321, I think that's pretty reasonable using my estimate is a guide.
Answer:
x = 31 and x = 15
Step-by-step explanation:
(a)
(3x + 31) and (2x - 6) are a linear pair and sum to 180° , then
3x + 31 + 2x - 6 = 180
5x + 25 = 180 ( subtract 25 from both sides )
5x = 155 ( divide both sides by 5 )
x = 31
(b)
3x and (4x - 15) form a right angle and sum to 90° , then
3x + 4x - 15 = 90
7x - 15 = 90 ( add 15 to both sides )
7x = 105 ( divide both sides by 7 )
x = 15
Answer:
Step-by-step explanation:
Do you want me to explain it?
