Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town

Answer:

Sarah purchased 2 drinks and 6 candies.

Step-by-step explanation:

Let

x ----> the quantity of drinks Sarah bought.

y ----> the number of candies acquired by Sarah.

We know that

the total spent on drinks and candies was $35.50

therefore,

-----> equation A

She bought 3 times more candies compared to drinks.

thus,

-----> equation B

To resolve the equations graphically

The solution lies at the intersection of the two graphs

utilizing a graphing tool

The result is the coordinate (2,6)

therefore,

Sarah bought 2 drinks and 6 candies.

In order to utilize the leftover stock properly, the company must package the Zena's product, committing to include one of Xavier's product in each bundle. The Xavier set consists of one blue and one black ink refill, while the Yvonne set comprises two blue, three black, and one red ink refill, whereas the Zena set contains four blue, five black, and one red ink refill. The company has 11 blue, 14 black, and 3 red ink cartridge refills available. Thus, forming equations based on existing inventory would yield the required quantities for optimal packaging without any leftover supplies.

Let C denote the quantity of compost

T represent the quantity of topsoil

Each cubic yard of compost is priced at $25

Thus, the cost of C cubic yards of compost is 25C

Each cubic yard of topsoil costs $15

Therefore, the cost for T cubic yards of topsoil is 15T

Together, the amount of compost plus topsoil equals 10

C + T = 10 -------> Equation 1

The total cost for compost and topsoil is $180

25C + 15T = 180 --------> Equation 2

Rearranging the first equation to find C

C + T = 10

results in

C = 10 - T

Now substitute into the second equation

25C + 15T = 180

25 ( 10 - T) +15T = 180

Using like terms: 250 - 25T + 15T = 180

From which we can simplify to 250 - 10T = 180 by removing 250 from both sides

-10T = 180 - 250

yielding -10T = -70 (dividing both sides by -10)

results in T = 7

His annual savings over 52 weeks amounts to $867.

The expression evaluates to 54.