Mercedes bought some vanilla cupcakes and some chocolate cupcakes. If she

Mathematics

1 answer:

Alexandra [31]2 years ago

5 0

Mercedes bought 22 cupcakes

Explanation

Let number of vanilla cupcakes=x

Number of chocolate cupcakes=y

When she eats 1 vanilla cupcake

Number of vanilla cupcakes remaining=x-1

Number of cupcakes remaining=x+y-1

Given

(1/7)(x+y-1)=x-1 (1)

When she eats two chocolate cupcakes instead

Number of chocolate cupcakes remaining=y-2

Given that

(1/5)(x+y-2)=x (2)

Consider equation(1)

(1/7)(x+y-1)=x-1

x+y-1=7x-7

7x-x-y=6

6x-y=6 (3)

Consider equation (2)

(1/5)(x+y-2)=x

x+y-2=5x

5x-x-y=-2

4x-y=-2 (4) solving (3)and (4)using

elimination method we get x=4

y=18

Total number of cupcakes Mercedes bought=x+y=4+18=22

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A passenger rode the subway 2 blocks west and then 10 south. If all the blocks are the same length what is the value of the slop

Nimfa-mama [501]

Answer:

The slope of the line is 5

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration which is attached below in order to help you understand the situation. As we are told the passenger rode the subway from point (0 , 0) to point (-2, 0). Then he rode the subway from point (-2, 0) to the final destination of point (-2 , -10). In order to find the value of the slope we need to use the slope formula which is

$Slope = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }$