the cost of 2 quesadillas and 3 burritos at a local mexican restaurant is $32. The cost of 4 quesadillas and 2 burritos at the same restaurant is $34. what is the cost of one quesadilla and 1 burrito?
Answers
Answer:
1 quesadillas is $4.75 and 1 Burrito is $7.50
Step-by-step explanation:
This question is a form of simultaneous equation
1. Quesadillas represents x and Burrito represents y
2. Form an equation base on the problem, hence as written below.
2x+3y=32
4x+2y=34
3. Use the elimination method by minusing the first equation from the second equation to give y=2x-2
4. Then you substitute the y=2x-2 into one of the equations above to find the x value. Eg y value substituted which is 2x+3(2x-2)=32. Therefore x=4.75
5. To find y substitute x value into either of the equation to find the y value.
Eg: 2(4.75)+3y=32. Therefore, make Y the subject to find Y value. Y= 7.50
Related Questions
one platter has 6 veggie wraps, 12 turkey wraps and costs 64.50 another platter has 8 veggie wraps 8 turkey wraps and costs $56
Which system of equations represents the situation if x represents the cost of a veggie wrap and y represents the cost of a turkey wrap?
A.12x + 6y = 568x + 8y = 64.50
B.6x + 12y = 64.508x + 8y = 56
C.x + 2y = 64.50x + y = 56
D.6x = 64.508y = 56
Answers
Answer: $3.25
Step-by-step explanation: The computation of the cost of a veggie wrap is shown below:
Let us assume the veggie strap be x
And the turkey wrap be y
Now the equations are
6x + 12y = $64.50
x + 2y = $10.75
8x + 8y = $56
x + y = 7
Now
x + 2y = $10.75
x + y = $7
y = $3.75
So x = $7 - 3.75
= $3.25
So, the correct option is option (B).
To understand the calculations, check below.
Linear simultaneous equation:Simultaneous linear equations are the system of two linear equations in two or three variables that are solved together to find a common solution. The simultaneous linear equation is represented as follows:
[tex]a_1x+b_1y=c_1\\a_2x+b_2y=c_2[/tex]
It is given that,
[tex]x[/tex] represents the cost of a veggie wrap and [tex]y[/tex] represents the cost of a turkey wrap.
Now, using the first part of the given question we get,
[tex]6x+12y=64.50...(1)[/tex]
Again in the second part of the given question is 8 veggies wraps 8 turkey wraps and costs $56 then we get the equation as,
[tex]8x+8y=56...(2)[/tex]
Then from equations (1) and (2) we get the equation as,
[tex]6x+12y=64.50\\8x+8y=56[/tex]
Learn more about the topic of Linear simultaneous equation:
https://brainly.com/question/10700481
A tank can hold a maximum of 400 gallons of water. The volume of water when pumping water into the tank can be determined by the function f (m) = 12.5m + 25 where m is the number of minutes that the pump is running and f(m) is the volume of gallons of water in the tank. If the tank must maintain a minimum of 25 gallons of water, which inequality represents the domain of this situation?
(Hint: The variable f(m) is like "y" and m is like "x")
0 < m < 400
30 < m < 400
25 < m < 400
0 < m < 30
Answers
Inequalities help us to compare two unequal expressions. The inequality that represents the domain of this situation is 0<m<30.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given that the volume of the tank should be between 400 gallons of water to 25 gallons of water. While the function of the volume of the water is given as,
f(m) = 12.5m + 25,
Now to know the value of m for which the volume of water in the tank is 400 gallons.
[tex]f(m) = 12.5m + 25\\\\400=12.5+25\\\\375=12.5m\\\\m = 30[/tex]
Also, the value of m for which the volume of the water in the tank is 25 gallons is,
[tex]f(m) = 12.5m + 25\\\\25=12.5+25\\\\0=12.5m\\\\m = 0[/tex]
Hence, the inequality that represents the domain of this situation is 0<m<30.
Learn more about Inequality:
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HELP MEEEE PLISSSS, I WILL GIVE U MY LIFEEE
Find the product.
2 1/3⋅3 1/2
Write the answer as a mixed number.
Answers
Answer:
8 1/6
Step-by-step explanation:
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Which of the following operations would you perform on both sides of the given equation to solve it? Check all that apply.3x - 10 = 2x + 6
Answers
Answer:
B and C
Step-by-step explanation:
I NEED HELP AGAIN T^T
Answers
Answer:
adjacent angles
Step-by-step explanation:
they all touch
I need the #2 answer.
Answers
What is the percent sale for a 2 for 1 deal?
Answers
Answer:
A 100% discount.
A 2-for-1 deal means you pay the price of one and you get another one free. One as a percentage is 100%
match the two step inequality to the correct graph.
Answers
Answer:
Hello,
I think -2p < - 10 goes with graph one
Then -M = 8 > 6 goes to Graph Two
Next 13 > 4r + 5 goes to Graph three
Last but not least -7 - Z < -1 goes to Graph Four
If I am Wrong i am sorry
Step-by-step explanation:
help what is the answer
Answers
Vibe
can someone plz help :( I need help asap
Answers
Answer:
x = 120, y = 160
Step-by-step explanation:
I like to use the elimination strategy in this type of problem.
You need to get one of the terms on the right side of the equation equal to and opposite another term on the right side of the other equation. For example, I'm going to make the y term of the first equation equal and opposite the y term of the second equation by multiplying the entire first equation by -1.5.
-1.5 * (x + y) = (280) * -1.5
2.5x + 1.5y = 540
The new equations are (only the first one changed):
-1.5x - 1.5y = -420
2.5x + 1.5y = 540
-----------------------------------
x = 120
Then plug this back into one of the equations.
(120) + y = 280
y = 160
You can check by plugging these into the other equation to make sure they are correct.
A zoo keeper was in charge of determining the population of meerkats at the zoo. He observed the meerkats and noted 8 of them and the special markings are on their face. The next day he went back out and observed the meerkats again. Out of the 20 that he saw, 4 of them were the same meerkats that he saw yesterday. How many meerkats can he assume are living at the zoo?
Answers
Answer:
16
Step-by-step explanation:
The zoo-keeper saw 8 special meerkats the day before and then only saw 4 special meerkats out of 20 the day after so 4 - 20 = 16.
PLEASE ANSWER THIS RIGHT AWAY I WILL GIVE BRAINLIEST IF YOU ANSWER FIRST
14 ft = ___ yd ___ ft
Answers
3 feet equals 1 yard.
14 is close to 12, which 12/3 is 4. There is a remainder of 2, since 12+2 is 14.
14 ft = 4 yd 2 ft
---
hope it helps
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?
Answers
I hope this helps you !
Answer:
f(p) = 6p + 50
Step-by-step explanation:
f(p) = 6p + 50
where f(p) is the total money for the laptop ($335) and p is the monthly payment.
If you wanted to plug in the total cost of the laptop the equation would be 335 = 6p + 50.
What is the slope of the line that passes through the points listed in the table?
Answers
Which is the quotient of 4 divided by 1/4? 2, 8, 16, 24
Answers
Answer:
16
Step-by-step explanation:
To divide fractions we can use reciprocals and the rule keep, change flip.
First, we make 4 into the fraction 4/1.
Next, we make this a multiplication problem.
Then, we flip 1/4 to 4/1.
4/1 times 4/1 is 16/1, or 16.
Answer:
16
Step-by-step explanation:
Which rounding strategy will result in the most reasonable estimate for the expression −148+297+−546+151+48?
−150+300+−550+150+50=−200
−100+200+−500+100+0=−300
−100+200+−500+100+0=−900
−150+300+−550+150+50=−1200
Answers
Answer:
-150 + 300 - 550 + 150 +50 = -200
Step-by-step explanation:
I rounded to the nearest tens place for each number.
A youth group has 25 members.
A. If at least 12 of the members are male, write an inequality to represent the number of female members.
B. Graph the inequality from part A.
C. Would the number 14 be in the solution set? Tell why or why not.
Answers
Answer:
nice question
Step-by-step explanation:
Yellowknife Canada has a daily temperature of -18 degrees Fahrenheit. Barrow Alaska has a temperature that is 7 degrees warmer. What is the temperature of Barrow Alaska? Define the variable, write an equation to represent the situation, and solve the equation.
Answers
Answer:
Step-by-step explanation:
all i know is its 11 degrees warmer
Answer:
-11 degrees Fahrenheit.
Step-by-step explanation:
Equation: -18 + 7 = D
Variable: D meaning the temperature in Darrow Alaska.
Solve: So, it's -11 degrees in Barrow.
find x please its important 80% of grade
Answers
7x = 35 now divide 7 on both sides, which means divide 7x by 7 and divide 35 by 7. This means that x=5.
I hope I helped.
have a good day!
WILL MARK BRAINLIEST!!!
for the function y = -2x + 20, what is the output when the input is 50?
Answers
the owner of a canoe rental shop is comparing the average monthly rainfall, in inches, to the number of canoe rentals per month. the data shows in the scatter plot.
Which sentence correct describes the best data. (Select all that apply)
A) the data have a linear association
B) The data have a nonlinear association
C) The data have a positive association
D) The data have a negative association
E) The data have at least one outliner
F) The data has no outliners
Answers
Answer:
A & D & E
Step-by-step explanation:
90°
30°
X=?
Is it
A: 150
B: 60
Answers
Step-by-step explanation:
x = 90 °
according to my calculations.
hope this will be helpful to you.
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if you find it useful.
Answer:
A:150
Step-by-step explanation:
answer the questions below pleaseeee , i will give brainliest if they're right
Answers
#1- 974
#2- 737
The height of a triangle is one-tenth of its base. The base measures 12 inches. How many square inches is the area of the triangle?
Answers
Answer: 7.2 square inches
Which of the following equations have no solution? Check all that apply.
Answers
Answer:
C, F, and H do not have solutions.
Step-by-step explanation:
Which are equivalent ratios to 2:3?
Check all that are true.
10:16
8:12
6:9
9:12
4:6
Answers
Answer:
8:12 6:9 4:6
Step-by-step explanation:
Divide each ratio by 2:3 and check if both numbers on either side of : are the same
For example:
8:12 divided by 2:3 = 4:4
Answer:
8:12, 6:9, and 4:6
Step-by-step explanation:
Equivalent ratios are any ratios that represent the same when they are simplified. All the ratios above simplify to 2:3. When the 8 and 12 of 8:12 are both divided by 4, the result is 2:3. When the 6 and 9 in 6:9 are both divided by 3, the result is 2:3. When the 4 and 6 in 4:6 are both divided by 2, the result is 2:3. The ratios 10:16 and 9:12 cannot be simplified to 2:3, and therefore are not correct answers.
Four points are graphed on the coordinate grid.
Which ordered pair does not appear to be represented by one of these points?
Answers
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Can someone plsss help?
Answers
Explanation: Since the fraction is negative you have to change the 18 into a negative 18 and didvide it by 3
A circular running track is 1/2 a mile long. Elena runs on this track, completing each lap in 1/16 of an hour. What is Elena's running SPEED? Include the unit of measure.
doing this AGAIN because the answers i'm getting are either wrong or ignorant
Answers
Step By Step: Divide 60 by 16
A retired math teacher takes his granddaughter shopping. He tells his granddaughter that they can
spend x dollars and 15x = 583.5. What operation does the granddaughter need to use to find how
much money they can spend?
Choose the correct answer below.
A. Division
B. Multiplication
C. Subtraction
D. Addition
Answers
Answer:
A
Step-by-step explanation:
you would divide both sides by 15 to isolate x and find out what x is.
Answer:
Answer Option (4) is c
Step-by-step explanation: