MATHEMATICS MIDDLE SCHOOL

Please help...to answer all these questions pleaseeeee
Please help...to answer all these questions pleaseeeee - 1

Answers

Answer 1
Answer:

Answer:

Part A) x co-ordinate is -4

Part B) x =1 and y = 2

Step-by-step explanation:

Part A

Given:

Two equations are given.

y = -(2)/(3) x

4x-9y=-40-----------(1)

Substitute y = -(2)/(3) x-in equation 1

4x-9(-(2)/(3) x)=-40

4x-(-(2* 9)/(3) x)=-40

4x-(-2* 3 x)=-40

4x-(-6x)=-40

Apply rule -(-a)=a

4x+6x=-40

10x=-40

x=-(40)/(10)

x=-4

Therefore, the coordinate of x is -4

Part B

Given:

Two equations are given:

-5=x-3y-------(1)

11=-3x+7y---------(2)

solve equation 1

-5=x-3y

x=3y-5----------(3)

substitute x=3y-5 in equation 2.

11=-3(3y-5)+7y

11=-(9y-15)+7y

11=-9y+15+7y

11-15=-9y+7y

-4=-2y

4=2y

y=(4)/(2)

y = 2

Now, we substitute y = 2 in equation 3.

x=3(2)-5

x=6-5

x = 1

Therefore, The value of y =2 and x = 1

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Angles C and E are supplementary. The M>C = 112 and M>E = (3x + 50) Solve for X.
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PLEASE HELPA yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.

Number of pages 50 100 150 200
Cost 1.55 2.25 2.95 3.65


Which equation gives the cost, y, in terms of the number of pages, x?



A.


y = 0.014x + 49.15


B.


y = 0.014x + 1.55


C.


y = 0.014x + 0.85


D.


y = 58.8x + 0.85

Answers

First, you have to find the slope. 
(3.65 -2.95 )/ (200-150) =m
And then you use like the point-slop form, you can just take a random point and plug it into the equation and solve.
For example,  y-3.65= 0.014 (x-200) and you distribute 0.013x-2.8=y-3.65
Add 3.65 on both sides
y=0.014x +0.85

Sorry if this was confusing.. D: 
C. if you plug the x and y values in the equation balances out and both sides are equal :)

How do I find the answers to this equation y=2/3(-1)+6

Answers

Answer:

y = 16/3

Step-by-step explanation:

y = 2/3(-1) + 6

y = -2/3 + 6

y = -2/3 + 18/3

y = 16/3

Answer:  y = 16/3

What is the fraction 36/80 expressed in lowest terms?

Answers

36=3^2*2^2
80=2^4*5
The commonalities between the two are 2^2, meaning you can eliminate 4 from both the numerator and denominator. Dividing them by 4, makes the new fraction 9/20

What is the value of 2+3^2-|-4 |

Answers

2+3^2-|-4|= 2+9-4 = 7

Answer:

7

Step-by-step explanation:

The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.

Answers

Answer:

x ≤ -11, Yes. The solution set include -11.

Step-by-step explanation:

x+4\leq(1)/(2)(x-3)\qquad\text{multiply both sides by 2}\n\n2x+8\leq1(x-3)\n\n2x+8\leq x-3\qquad\text{subtract 8 from both sides}\n\n2x\leq x-11\qquad\text{subtract x from both sides}\n\n\boxed{x\leq-11}

At a baseball game, a vender sold a combined total of 170 sodas and hot dogs. the number of hot dogs sold was 50 less than the number of sodas sold. find the number of sodas sold and the number of hot dogs sold

Answers

Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.


x+y=170 (We know that soda + dogs is 170)

x-50=y (We know that dogs is equal to 50 less than sodas)


We can use substitution to solve this system of equations.

x+y=170

Sub in the value of y from the second equation

x+(x-50)=170

2x-50=170

2x=220

x=110


We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.

x+y=170

110+y=170

y=60


So, there were 60 hotdogs sold and 110 sodas sold.
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