a company has a $150 budget to provide lunch for its 20 employees. the options are to provide either roast beef sandwiches, which cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. the company also wants to use the entire budget. suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. which statement is correct?

a. the company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r-t=20 and 5r+5t=150.

b. the company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r+t=20 and 5r+5t=150.

c. the company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r-t=20 and 5r-5t=150.

d. the company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r+t=20 and 5r+5t=150.

D. The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r+t=20 and 5r+5t=150.

Step-by-step explanation:

Let 'r' represents the number of roast beef sandwiches it provides and 't' represents the number of tuna sandwiches.

Then, the total number of roast beef sandwiches and tuna sandwiches is equal to the number of employees :

....................(1)

Also, the cost of each roast beef sandwich and cost of each tuna sandwich is same as $5.

If company wants to use the entire budget of $150, then we have another equation :-

If we divide 5 on both sides we get

.............................(2)

When we compare equation (1) and (2) we get 20=30 but it is not possible therefore the system has no solution.

Therefore, the correct statement is "The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r+t=20 and 5r+5t=150."

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.