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
Tpy6a [65]
3 years ago
9

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. Which is the first error that Tomas made? Tomas substituted the 3 for x when he should have substituted 6 for x. Tomas added 6 to both sides of the equation instead of subtracting 6. Tomas should have written the equation as . Tomas substituted 3 for x when he should have substituted 3 for y.(for edgenuit/y)

Mathematics
2 answers:
expeople1 [14]3 years ago
5 0

Answer:

Tomas added 6 to both sides of the equation instead of subtracting 6.

Artist 52 [7]3 years ago
3 0

Answer:

Tomas added 6 to both sides of the equation instead of subtracting 6.

Step-by-step explanation:

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 2x + 6y = 12 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.

Given:

2x + 6y = 12

where

x = number of pounds of granola y = number of pounds of walnuts

The correct solution to the problem

x = 3 pounds

2x + 6y = 12

2(3) + 6y = 12

6 + 6y = 12

Subtract 6 from both sides

6 + 6y - 6 = 12 - 6

6y = 6

Divide both sides by 6

y = 6/6

= 1

y = 1 pound

Tomas added 6 to both sides of the equation instead of subtracting 6.

You might be interested in
What is the solution?<br> 45-[5+8y-3(y+3)]= -3(3y-5)-[5(y-1)-2y+6
monitta

Answer:

-5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

45−(5+8y−3(y+3))=−3(3y−5)−(5(y−1)−2y+6)

45+−1(5+8y−3(y+3))=−3(3y−5)+−1(5(y−1)−2y+6)(Distribute the Negative Sign)

45+(−1)(5)+−1(8y)+−1(−3(y+3))=−3(3y−5)+−1(5(y−1))+−1(−2y)+(−1)(6)

45+−5+−8y+3y+9=−3(3y−5)+−5y+5+2y+−6

45+−5+−8y+3y+9=(−3)(3y)+(−3)(−5)+−5y+5+2y+−6(Distribute)

45+−5+−8y+3y+9=−9y+15+−5y+5+2y+−6

(−8y+3y)+(45+−5+9)=(−9y+−5y+2y)+(15+5+−6)(Combine Like Terms)

−5y+49=−12y+14

−5y+49=−12y+14

Step 2: Add 12y to both sides.

−5y+49+12y=−12y+14+12y

7y+49=14

Step 3: Subtract 49 from both sides.

7y+49−49=14−49

7y=−35

Step 4: Divide both sides by 7.

7y

7

=

−35

7

y=−5

8 0
3 years ago
7w-(2+w)=2(3w-1) solve for w
Dafna1 [17]

Steps:

7w - 2 + w = 2(3w - 1)

6w - 2 = 6w - 2

Because both sides of the equation are equal, w = an infinite amount of solutions.

Have a great day!

4 0
3 years ago
Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

6 0
1 year ago
How do you say 876543 in word form
Valentin [98]
Eight hundred seventy six thousand five hundred forty three.
7 0
3 years ago
Read 2 more answers
What is the maximum number of possible extreme values for the function,<br> f(x) = х2 -7x – 6?
timama [110]

Answer:

Only one extreme value of f(x) is possible.

Step-by-step explanation:

We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)

Now. the condition for extreme values of f(x) is \frac{df(x)}{dx} =0

Hence, differentiating both sides of equation (1) with respect to x, we get

\frac{df(x)}{dx} = 2x -7 = 0

⇒ x = 3.5.

So there is only one value of x for which f(x) has extreme value which is x = 3.5.

Therefore, only one extreme value of the given function is possible. (Answer)

3 0
3 years ago
Other questions:
  • How do i do this? i cant quite remember
    9·1 answer
  • What is the least common denominator of 24/25,49/50,37/100
    6·1 answer
  • How do you write<br> .5<br> .66<br> .7<br> as a fraction?
    7·1 answer
  • Help me please,Thanks
    8·1 answer
  • 3x^2y^3(2x-xy^2)<br><br> what does this equal? <br><br> when i use ^ the number after is an exponent
    13·1 answer
  • What property of equality is 15v-55=-10
    6·1 answer
  • What is the inverse of f(x)=2x-6
    11·1 answer
  • Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
    9·1 answer
  • Given the kite with diagonal measures as shown.
    12·1 answer
  • Evaluate 72 - 12 x 5 – 3(43 = 8)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!