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.
Answer: The cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.
Step-by-step explanation:
Let x= Cost of one bag of chips
y= Cost of one bag of pretzels.
As per given, we have
5x+9y=16.95 ...(i)
x+y=2.55 ...(ii)
Multiply 5 to (ii), we get
5x+5y=12.75 ...(iii)
Eliminate (iii) from (i), we get
Put value of y in (ii), we get
Hence, the cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.
Answer:
s = 21 cm
Step-by-step explanation:
Square is s x s = area
So you just take the square root button of the calculator to find that 21 x 21 is 441.
Answer:
x = 46
Step-by-step explanation:
2x + 4 = 96
-4 -4
2x = 92
---- ----
2 2
92/2 = 46
x = 46
Answer: The answer is (D) Reflection across the line y = -x.
Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.
(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.
(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.
(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.
(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.
Thus, the correct option is (D).
