MATHEMATICS MIDDLE SCHOOL

1/6+(-2/3)= a.-4/6
b.1/2
c.-1/2
d.-5/6


plz only abitious and up

Answers

Answer 1
Answer: 1/6+ (-2/3)
= 1/6 - 4/6
= -3/6
= -1/2

The correct answer is c. -1/2~
Answer 2
Answer: you can say -2/3 = -4/6 so : 1/6 - 4/6 = -3/6 = -1/2 and thats the simplest so the answer is c :))
i hope this is helpful
have a nice day 

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An NBA game is 48 min long.If Lebron James ate a Big Mac Extra Value Meal ( that is 1360 calories) before a game, would he burn off all the calories by the end of the game? if not,how much longer would he have to play

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How would i put this on the line

Answers

Assuming this is just a regular line graph

Look down below for question:

Answers

To solve this I am going to create three equations for what each person bought.
a will represent apples, b will represent berries, and c will represent cherries.

34 = 2a + 1b + 4c
35 = 3a + 2b + 2c
49 = 5a + 3b + 2c

Solve for on variable in the first equation.

b = 34 - 2a - 4c

Plug that into the second equation and solve for a different variable.

35 = 3a + 2(34 - 2a - 4c) + 2c
35 = 3a + 68 - 4a - 8c + 2c
35 = -a + 68 - 6c
-33 = -a - 6c
33 = a +6c
a = 33 - 6c

It gets a little confusing here but you plug in what both a and b are equal to until you have solved for c.

49 = 5a + 3b + 2c
49 = 5(33 - 6c) + 3b + 2c               substitute a with 33 - 6c
49 = 165 - 30c + 3b +2c
49 = 165 - 28c + 3b
-116 = -28c + 3(34 - 2a - 4c)               substitute b with 34 - 2a - 4c
-116 = -28c + 102 - 6a - 12c
-116 = -40c + 102 - 6(33 - 6c)               again substitute a with 33 - 6c
-116 = -40c + 102 - 198 + 36c
-116 = -4c - 96
-20 = -4c
4c = 20
c = 5

a = 33 - 6c
a = 33 - 6(5)
a = 33 - 30
a = 3

b = 34 - 2a - 4c
b = 34 - 2(3) - 4(5)
b = 34 - 6 - 20
b = 8

Apples cost $3 per pound
Berries cost $8 per pound
Cherries cost $5 per pound

I need help with question 7.

Answers

Im really not sure but I think it’s A
i think it’s the first one

What Is the solution set for 6x - 2 = 5x +3​

Answers

Answer:

x = 5

Step-by-step explanation:

6x - 2 = 5x + 3             add 2 to both sides

6x - 2 + 2 = 5x + 3 + 2

6x = 5x + 5           subtract 5x from both sides

6x - 5x = 5x - 5x + 5

x = 5

PLZ HELP!!!!!!!! due in 30 minutes im timed!

Answers

Option D:

Difference between g(x) and f(x) is 44.

Solution:

Let us first write the function of f(x).

Take any two points on the line (0, -1) and (-2, 0).

Here, x_1=0, y_1=-1, x_2=-2, y_2=0

Equation of a line:

$(y-y_1)/(x-x_1) =(y_2-y_1)/(x_2-x_1)

$(y-(-1))/(x-0) =(0-(-1))/(-2-0)

$(y+1)/(x) =(1)/(-2)

Do cross multiplication.

-2(y + 1) = x

-2y - 2 = x

Add 2 on both sides.

-2y = x + 2

Divide by -2 on both sides.

$y=-(1)/(2)x-1

y = -0.5x - 1

f(x) = -0.5x - 1

At x = 20,

f(20) = -0.5(20) - 1 = -11

g(x) = 1.5x + 3

g(20) = 1.5(20) + 3 = 33

Difference between g(x) and f(x)

            = g(20) - f(20)

            = 33 - (-11)

            = 33 + 11

            = 44

Difference between g(x) and f(x) is 44.

Option D is the correct answer.
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