Answer: fluffy is 11 years old
Scuffy is 8 years old
Step-by-step explanation:
Let x represent the present age of Fluffy the cat.
Let y represent the present age of Scuffy the dog.
Fluffy the cat is 3 years older than Scuffy the dog. This means that
x = y + 3 - - - - - -- - - - - 1
Six less than five times Scruffy's age is one more than three times Fluffy's age. This means that
5y - 6 = 3x + 1
5y - 3x = 1 + 6
5y - 3x = 7 - - - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
5y - 3(y + 3) = 7
5y - 3y - 9 = 7
5y - 3y = 7 + 9
2y = 16
y = 16/2 = 8
x = y + 3
x = 8 + 3 = 11
Answer:
The ratio of the areas of the smaller rectangle to the larger rectangle is
Step-by-step explanation:
we know that
if two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the smaller rectangle
y----> the area of the larger rectangle
so
substitute the values
simplify
That means, the area of the larger rectangle is 9 times the area of the smaller rectangle
------> the scale factor
That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle
Use the formula for the volume of a cylinder to work out how much wax you need to make one candle.
π×5²×15 = 375π
Then divide the amount of wax you have by the amount of wax you need to produce one candle to work out how many candles you can make.
4500 ÷ 375π = 3.82
However, you can't produce 82% of a candle, so you have to round down to 3 candles.
Answer:
A.
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
find rise over run with y1-y2/x1-x2 = -2/1 = -2