3. Matt bought 12 packages of hot dogs and hamburgers for a barbecue. Let x represent the number of packages of hot dogs, which cost $2.75 each. Let y represent the number of packages of hamburgers, which cost $3.20 each. Matt spent a total of $35.25. Write and solve a system of equations that can be used to represent the amount of hot dogs and hamburger packages Matt bought. Are there any constraints on your variables? Is the solution viable or non-viable?
Answers
Answer:
Matt bought 7 packages of hot dogs and 5 packages of hamburger.
Step-by-step explanation:
We are given the following in the question
Let x represent the number of packages of hot dogs.
Cost of one packet of hot dog = $2.75
Let y represent the number of packages of hamburgers
Cost of one packet of hamburgers = $3.20
Then, we can write the following equations:
Solving the two equations,
Thus, Matt bought 7 packages of hot dogs and 5 packages of hamburger.
The solution is viable.
Constraints to the system of equation:
Related Questions
Sophie wrote odd numbers on her paper. what is a number sophie did not write?
I don't understand this, and I need the answer, and I don't even know how to do it...its on a test tomorrow
Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3,0). Include yourwork in your final answer. Type your answer in the box provide to submit your solution.
The expression 7 + 3x + 4 represents the perimeter of the triangle. Simplify the expression
Answers
Answers
The number of the pieces will be equal to 8.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the ribbon size is 5(¹/₃) and the piece to be cut is 2/ 3 feet in size.
The number of pieces will be calculated by dividing the total size by the per piece size.
N = [ 5(¹/₃) / ( 2/ 3) ]
N = [ (16/3) / (2 / 3)]
N = 16 / 2
N = 8
Therefore, the number of pieces will be equal to 8.
To know more about an expression follow
#SPJ2
Now that the denominators are the same, all we need to do is see how many times 2 goes into 16. 16/2 is 8. Your answer is 8.
Answers
Okay, so Angelo had a dollars and spent 1/3 of that. So he spent 1/3a
Then, the amount he has left can be denoted as: (a - 1/3a)
Jimmy had j dollars and spent 1/2 of it:
So the amount he has left can be denoted as (j - 1/2j)
Since jimmy had more money left, you would subtract the amount angelo has from the amount that jimmy has left.
So: (j - 1/2j) - (a - 1/3a).
Answers
1:2
x:20
1/2=x/20
multiply btoh sides by 20
10=x
answer is 10 cups of mixture
answer
Answers
Answer:
No
Step-by-step explanation:
The model shows two similar elements.
Although we do not know what the element is, we can conclude that the model is not a compound.
This is because the definition of a compound is when two different elements join.
However, the model has two similar elements, which forms a molecule, not a compound.
Answer:
The model does not represent a compound because it shows two atoms of the same element combined.
Compounds are made of two or more atoms of different elements.
In a ball-and-stick model of a compound, there should be balls of different colors
Answers
As 4²+(5/2)²=22.25=89/4 (Pytagorean theorem)
Perimeter of the triangle =2*√89 /2 +5 =5+√89
Lateral area: 18*(5+√89)
Total area= 90+18√89+ 4*5/2 *2 =110+18√89 ≈279.811..(ft²)