Mathematics, 27.02.2021 06:40 gatorboy1788

Based on the word problem, define two variables (x and y) and write a system of equations to represent the situation. Then solve your system using the substitution method. You have recently discovered that you can buy them, in bulk, directly from the manufacturer. You’ve decided to spend every dollar you have on Cheetos and Takis. You’re going to buy a total of 30 bags (Cheetos and Takis combined). The Cheetos cost $15 for a large bag and the Takis cost $40 for a large bag, and you have $750 to spend. How many of each type of snack do you buy?

Answers: 2

Show answers

Answers

Answer from: janiyagoldsmith

the solution for the system is;

$c = 18 \\ t = 12$

Step-by-step explanation:

Let C be the number of cheetos bags that you will buy and T the corresponding number of Takis bags.

Since you're going to buy a total of 30 bags, then;

c + t = 30

Since the Cheetos bag cost $15, then the total cost for C bags is 15C. The same way, since the Takis bag cost $40, the total cost for T bags is 40T. Since you will spend $750, then;

15c + 40t = 750

Use the substitution method to solve the system. To do so, isolate one variable from the first equation and substitute the resulting expression into the second equation;

$c + t = 30 \\ c = 30 - t$

Substitute that expression for C into the second equation and solve for T:

$15c + 40t = 750 \\ 15(30 - t) + 40t = 750 \\ 450 - 15t + 40t = 750 \\ 450 + 25t = 750 \\ 25t = 750 - 450 \\ 25t = 300 \\ t = \frac{300}{25} \\ t = 12$

Substitute back T=12 into the expression for C;

$c = 30 - t \\ c = 30 - 12 \\ c = 18$

Therefore, the solution for the system is;

$c = 18 \\ t = 12$

Which mean that you buy 12 bags of Takis and 18 bags of Cheetos.

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

answer: no, but if it does it's a obvious pattern.

step-by-step explanation:

Do you notice any patterns in the histogram? (don't just say "yes" or "no")

Another question on Mathematics

Mathematics, 21.06.2019 12:30

On the april 3 billing date, michaelle chappell had a balance due of $ 1495.39 on her credit card. from april 3 through may 2, michaelle charged an additional $ 305.34 and made a payment of $ 800.a) find the finance charge on may 3, using the previous balance method. assume that the interest rate is 1.8 % per month.b) find the new balance on may 3.

Answers: 2

Answer

Mathematics, 21.06.2019 14:10

Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. there are 15 questions on the test, and students are given 51 minutes to take it.how many multiple-choice questions are on the test?

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

How does a low unemployment rate affect a nation's economy? a. the nation has a higher number of productive resources. b. the nation can spend more money on for unemployed people. c. the nation can save money by paying lower salaries to a large workforce. reset

Answers: 1

Answer

Mathematics, 21.06.2019 22:20

As voters exit the polls, you ask a representative random sample of voters if they voted for a proposition. if the true percentage of voters who vote for the proposition is 63%, what is the probability that, in your sample, exactly 5 do not voted for the proposition before 2 voted for the proposition? the probability is

Answers: 2

Answer

You know the right answer?

Based on the word problem, define two variables (x and y) and write a system of equations to represe...

Questions

Mathematics, 25.02.2021 18:10

Evaluate the following 10+4(3+2)+5+(12÷6)...

Mathematics, 25.02.2021 18:10

15. The Arlington Drama Club is selling tickets to an upcoming play. They can sell at most 250 tickets. The adult tickets sell for $15 each and stude...