After paying eight dollars for the pie, Mike has eighty - one dollars left, his friend has thirteen dollars. How much money did he have before buying the pie

Answer:

Hence, the rate of change of the price of apples is:

                             $ 0.20 per year.

Step-by-step explanation:

Let P denote the price of apples.

It is given that the initial price of apples is: $ 0.30 per lb.

i.e. P(0)=$ 0.30 per lb.

Also, the price of the apples after three years is:  $ 0.90 per lb.

i.e.  P(3)=$ 0.90 per lb.

Hence, the rate of the change of the price of apples is calculated by:

Now on putting the value in the formula we obtain:

                          The rate of change is:

                             $ 0.20 per year.

Answer:  True

For example, 2/4 reduces to 1/2. Both are equal to the terminating decimal value of 0.5

Two other examples:  

• 28/7 = 4/1 = 4
• 8/12 = 2/3 = 0.667 approximately

Answer:

x= 2, y= 1

Step-by-step explanation:

First label the 2 equations:

3x +7y= 13 -----(1)

5x +2y= 12 -----(2)

Make x or y the subject of formula for one of the equation so that we can substitute its value into the 2nd equation.

Here, I am making y the subject of formula in the 2nd equation.

5x +2y= 12

2y= 12 -5x

-----(3)

Substitute (3) into (1):

Expand:

Bringconstantstooneside:

Simplify:

Multiplyby-2onbothsides:

Divideby-29onbothsides:

x=2

Substitute x=2 into (1):

3(2) +7y= 13

7y +6= 13

7y= 13 -6 (-6onbothsides)

7y= 7

y= 7 ÷7

y= 1

Answer:

Step-by-step explanation:

(1 + 3)/(3-1) = 4/2 = 2

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5

Answer:

D. Square

Step-by-step explanation:

A square is a regular tessellation because a regular tessellation is a pattern made up of only one single shape placed in some kind of pattern.