2/3−3/8 in simplest form

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April sold 75 tickets to a school play and collected a total of $495. If the adult tickets cost $8 each and child tickets cost $5 each, how many adult tickets and how many child tickets did she sell?

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Answer: 40 adult tickets and 35 child tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of child tickets that were sold.

April sold 75 tickets to a school play. It means that

x + y = 75

If the adult tickets cost $8 each and child tickets cost $5 each and and a total of $495 was collected from ticket sales, it means that

8x + 5y = 495- - -- - - - - - - - -1

Substituting x = 75 - y into equation 1, it becomes

8(75 - y) + 5y = 495

600 - 8y + 5y = 495

- 8y + 5y = 495 - 600

- 3y = - 105

y = - 105/-3

y = 35

x = 75 - y = 75 - 35

x = 40

Solve using
elimination
X- 2y = 3
3x - y = 2

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Answer: x = 1/5 and y= -7/5

Step-by-step explanation: Let's solve your system by elimination.

Multiply the first equation by -3,and multiply the second equation by 1.

-3 (x - 2y = 3)

1 (3x - y = 2)

Becomes:

-3x + 6y = -9

3x -y = 2

Add these equations to eliminate x:

5y = -7

Then solve 5y = -7

5y/7 = -7/5

y = -7/5

Now that we‘ve found y, let’s plug it back in and solve for x.

Write down an original equation:

x - 2y = 3

Substitute -7/5 for y in x - 2y = 3:

x - 2 (-7/5) = 3

x + 14/5 = 3

x 14/5 + -14/5 = 3 + -14/5 (Add (-14)/5 to both sides)

x = 1/5

Answer:

x = 1/5 and y = -7/5

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? A. Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

B. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

C.Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

D.Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

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A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.

Answer:

A is the correct option.

Step-by-step explanation:

The slope of the line is 2 and the y-intercept is -6.

y-intercept is the point where x is zero. Hence, the point is (0,-6)

When we graph a linear function by slope-intercept method, first of all we plot the y-intercept.

Hence, first of all we plot the point (0,-6)

Now, slope is given by

\text{slope}=(rise)/(run)

if rise is positive then we move up from the y -intercept and if negative then move down. We keep run always positive and hence we move right from the rise point.

\text{slope}=2=(rise)/(run)

rise = 2

run = 1

Rise is positive hence, we move 2 units up from the point (0,-6) and then move 1 unit right to get the next point. Then we draw a line passing through these points.

A is the correct option.


Pllllzzzz helpp Me with this Question

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the answer is D
when we distribute an element to a factor it call distribution property
   
\texttt{Equation D. shows the distributive property.} \n \n D. ~~~~~ \boxed{ -5(2 + 9) = -5 \cdot 2 + (-5) \cdot 9 }



What would be the coordinates at 315° if the coordinates at 135° are at (-square root 2/2, square root 2/2)?

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Answer:

We choose C

Step-by-step explanation:

the coordinates at 135° are at  ((-√(2) )/(2), (√(2) )/(2) )

As we can see, the x coordinate of the point is negative and the y coordinate of it is positive.

So this point is located at the quadrant ii

From  135 ° to 315°, it is rotated 180°

=> Each coordinate (x,y) is changed to (-x,-y)

= ((√(2) )/(2), -(√(2) )/(2) )  the new coordinate is located in quadrant iii

We choose C

What is the value of x in the equation 3x – 4y = 65, when y = 4?

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27 because 4*4=16. 65+16=81 and 81 divided by 3=27