We have been given that on a map of North Carolina, 27 centimeters represents 18 miles. We are asked to determine the equation that would calculate the number of miles between the two cities, y, when they measure x centimeters apart.

We will use proportions to solve our given problem.

$\frac{\text{Number of miles between two cities}}{\text{Number of cm between two cities}}=\frac{18}{27}$

Upon substituting our given values in above equation, we will get:

$\frac{y}{x}=\frac{18}{27}$

$\frac{y}{x}=\frac{2}{3}$

Now we will multiply both sides by x.

$\frac{y}{x}\cdot x=\frac{2}{3}\cdot x$

$y=\frac{2}{3}\cdot x$

Therefore, our required equation would be $y=\frac{2}{3}\cdot x$ and 1st option is correct choice.

8 0

3 years ago

An animal shelter spends $2.00 per day to care for each bird and $6.00 per day to care for each cat. Maya noticed that the shelt

Vaselesa [24]

Answer:there were 23 birds and 4 cats

Step-by-step explanation:

Let x represent the number of birds at the shelter on Thursday.

Let y represent the number of cats at the shelter on Thursday.

Maya found a record showing that there were a total of 27 birds and cats on Thursday. This means that

x + y = 27

An animal shelter spends $2.00 per day to care for each bird and $6.00 per day to care for each cat. Maya noticed that the shelter spent $70.00 caring for birds and cats on Thursday. This means that

2x + 6y = 70 - - - - - - - - - - - - - - 1

Substituting x = 27 - y into equation 1, it becomes

2(27 - y) + 6y = 70

54 - 2y + 6y = 70

- 2y + 6y = 70 - 54

4y = 16

y = 16/4

y = 4

x = 27 - y = 27 - 4

x = 23

3 0

4 years ago

Reduce 3272 to lowest terms.

zubka84 [21]

Answer:

If you reduce this to the lowest terms you get 4/9

Step-by-step explanation:

In order to simplify the fraction 32/72, you can divide each term by 8.

32/8 = 4

72/8 = 9

Therefore, we get 4/9

5 0

4 years ago