1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
poizon [28]
3 years ago
10

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola

that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.
Answer- B Tomas added 6 to both sides of the equation instead of subtracting 6.
just took the test
Mathematics
2 answers:
Gala2k [10]3 years ago
7 0

The equation which best represents this scenario and is solved for y, the number of pounds of walnuts he can buy, is y = \frac{12.00 - 6.00}{6.00}. Tomas buys 1 pound of walnuts. He can spend a total of $12.00. Since he bought 3 pounds of granola for $2.00 a pound, subtract $6.00 from $12.00. Walnuts costs $6.00 a pound. Divide the remainder by $6.00 to find the number of pounds he can buy. This scenario can be solved using logic like above or with a two variable equation.

<h3>Further Explanation </h3>

Logically using each of the details of the problem gives the following calculations:

  • Unknown number of walnuts at $6.00 per pound
  • 3 pounds of granola at $2.00 per pound of granola is a total of $6.00 spent
  • Tomas can only spend a total of $12.00

This means Tomas has 12.00 - 6.00 = $6.00 left to purchase Walnuts. If Walnuts cost $6.00 a pound, then he can buy 1 pound. But this isn't the only way to find the number of pounds of walnuts.

You can also write a two variable equation where x represents the number of pounds of granola and y represents the number of pounds of walnuts. To write the equation, multiply each variable by its cost per pound. Granola that costs $2.00 per pound is 2x. Walnuts which costs $6.00 per pound is 6y. The total cost is put them together by adding, 2x + 6y = 12. An equation allows you to find out many possible solutions for Tomas' shopping trip. Because he already bought 3 pounds of granola, there is only one solution for y.

2x + 6y = 12\\\\2(3) + 6y = 12\\\\6 + 6y = 12\\\\6 - 6 + 6y = 12 - 6\\\\6y = 6\\\\\frac{6y}{6} = \frac{6}{6}\\\\y = 1

<h3>Learn More</h3>
  • Writing a Linear Equation: brainly.com/question/1335723
  • Solving Linear Equations Application Example: brainly.com/question/2918588

<h3>Answer Details</h3>

Grade: Middle School

Subject: Algebra 1

Chapter: Solving Linear Equations

Keywords: linear, variable, per pound, unit rate, function, solving equations

murzikaleks [220]3 years ago
5 0

Not really sure what you are looking for, but this is how to solve equations such as these.

Let:

x = number of pounds of granola

y = numer of pounds of walnuts

The equation he can use to compute the total cost would be:

$2.00x + $6.00y = $12.00

We know that he bought 3 pounds of granola, so we plug in that for the x value:

$2.00(3) + $6.00y = $12.00

$6.00 + $6.00y = $12.00

To isolate the unknown value which is y, we first need to subtract $6.00 from both sides of the equation:

$6.00 + $6.00y - $6.00 = $12.00 - $6.00

$6.00y = $6.00

Then we divide both sides by $6.00:

$6.00y/$6.00 = $6.00/$6.00

y = 1

So the number of bags of walnuts he can buy is 1 bag.

You might be interested in
A number has exactly eight factors. Two of the factors are 10 and 14 . what is the number, and what are all of the factors?
bearhunter [10]
It should be 2,5 and 2,7
8 0
3 years ago
A photo of a beetle in a science book is increased to 705​% as large as the actual size. If the beetle is 14 ​millimeters, what
uranmaximum [27]

Answer:

11.27cm

Step-by-step explanation:

705% of 14milimeters

705/100 X 14 = 98.7

increase by adding 98.7milimeter to 14milimeter

98.7+14= 112.7milimeter or 11.27cm

3 0
3 years ago
wendy is selling bags of chips. she earns $108.00 by selling 72 bags of chips. if each bag of chips is the same price, how many
stiv31 [10]
I think 84

$108.00 divided by 72 is $1.50
So 1 bag is $1.50
$126.00 divided by $1.50 is 84
So 84 bags of chips
8 0
2 years ago
Solve. 9(4h - 6) = 2( -13 - 2h)
Afina-wow [57]

Answer: h= 7/10

Step-by-step explanation:

9(4h - 6 ) = 2(-13 - 2h)       Distribute on both sides

9(4h) + 9(-6) = 2(-13) + 2(-2h)

36h - 54 = -26 - 4h       Add 4h to both sides

+4h                   +4h

40h - 54 = -26      Add 54 to both sides

      +54     +54

40h = 28     Divide both sides by 40

h = 7/10

6 0
3 years ago
Read 2 more answers
Fill in the table.<br>Input Values = 0, 2,4<br>Rule: subtract 3<br>Input<br>Output​
jarptica [38.1K]

Answer:

Input: 0, 2, 4

Output: 3, -1, 1

Step-by-step explanation:

0-3= -3

2-3= -1

4-3= 1

3 0
3 years ago
Other questions:
  • A rocket is launched vertically from the ground with an initial velocity of 64. ft/sec Write a quadratic function that shows the
    11·1 answer
  • Who wanna be my tutor add my Instagram : laylarainn help a girl out ‍♀️
    13·2 answers
  • A total of 711 tickets were sold for the school play. They were either adult tickets or student tickets. There were 61 more stud
    14·1 answer
  • You buy a deluxe box of 45 ornaments for your tree for $15 when you get home and open the box you realize that 10 of the ornamen
    8·1 answer
  • 25 POINTS FOR FIRST ANSWER!!
    9·2 answers
  • How many pairs of parallel lines have in a trapezoid
    9·2 answers
  • Which of the following statements is false? (5 points)
    12·1 answer
  • A ​used-boat dealership buys a boat for ​$2900 and then sells it for ​$4500. What is the percent​ increase?
    12·1 answer
  • Helppppppppppppppppppppp
    12·2 answers
  • A _____________ _________________ is used to smother small fries on/in objects or on a person.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!