Advance tickets for a school play went on sale. The price of each student ticket was $4 and everyone else paid $5. On the first day, no more than $80 in tickets were sold. Describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to nonstudents.

Answers

Answer 1

Answer:

Answer:

sample response:

Step-by-step explanation:

Partial and negative tickets cannot be sold, so the minimum number values of e and s are 0. If s = 0, then e = 16, and if e = 0, then s = 20. Therefore, the values of s are whole numbers from 0 to 20 and the values of e are whole numbers between 0 and 16. The greatest number of student tickets sold was 20 and the greatest number of nonstudent tickets sold was 16.

Answer 2

Answer: 89 tickets were sold in total.

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Which inequality matches the graph? (2 points)A) −2x + 3y > 7

B) 2x − 3y < 7

C) −3x + 2y > 7

D) 3x − 2y < 7

Answers

Answer:

D) 3x − 2y < 7

Step-by-step explanation:

We note that the x- and y-intercepts are about 2.3 and -3.5, respectively.

In "intercept form," the equation of the line can be written ...

x/x-intercept +y/y-intercept = 1

Using the given intercepts, this is ...

x/2.3 +y/(-3.5) = 1

The answer choices suggest that we should multiply this by 7. When we do, we get ...

3x -2y = 7 . . . . the equation of the boundary line

The next trick is to figure the comparison symbol. We note that x-values are less than those on the line, and y-values are greater than those on the line. It is convenient to consider the term with a positive coefficient, so we don't get confused with minus signs and reversed comparisons.

As we said, x-values are less than those on the line, so the shaded area is ...

3x -2y < 7 . . . . matches choice D

Answer:

D) 3x − 2y < 7

Step-by-step explanation:

Took the test and got it right :)

What is the graph of the inequality 3x+2y>-5

Answers

Answer:

The graph is shown in attachment.

Step-by-step explanation:

we have to draw a graph of the inequality

3x+2y>-5

The following steps are:

Step 1: Rearrange the equation such that "y" is on the left side and rest on the right.

3x+2y>-5

⇒ $2y>-5-3x$ ⇒ $y>(1)/(2)(-5-3x)$

Step 2: Plot the $y>(1)/(2)(-5-3x)$ line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

. Here, dashed line is drawn.

Step 3: Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

The graph is shown in attachment.

the graph above is how the inequality looks. I highly recommend you download an app called "desmos" for any questions you have about graphs.

Johnny B's rectangular garden is 5 feet long and 10 feet wide. He wants to make the area of his garden 6 times as large by increasing the length and width by the same amount. Find the number of feet by which each dimension must be increased.

Answers

Answer:

The length is 15 and the width is 20

Step-by-step explanation: 10 times 5 is 50 and 6 times is 300 which is the area you are looking for. 15 times 20 is 300 and you add 5 to each numbers so it works.

120 books increased by 55%

Answers

Simplest way to do this:
number of books= 120
percentage represented by 120= 100%
increase current percent by 55%= 155%

: . 55% increase = original number of books * (155%)
= 120 * (155/100)
= 186

Using mapping notation to describe a translation up 8 units

Answers

I really don't understand, can you show any more information?

How do you find the equation of the line in standard form that is perpendicular to the line y=3x+2 and passes through (-1, 5)please help!!!

Answers

$y=mx+b \perp y=3x+2 \n\Downarrow \hbox{the product of the slopes is -1} \nm * 3=-1 \nm=-(1)/(3) \n y=-(1)/(3)x+b \n \n(-1,5) \nx=-1 \ny=5 \n \Downarrow \n5=-(1)/(3) * (-1) + b \n5=(1)/(3)+b \n5-(1)/(3)=b \n(15)/(3)-(1)/(3)=b \nb=(14)/(3) \ny=-(1)/(3)x+(14)/(3) \n \ny=-(1)/(3)x+(14)/(3) \n(1)/(3)x+y=(14)/(3) \ \ \ |* 3 \n\boxed{x+3y=14}$

A perpendicular line has a slope that is the negative reciprocal of the line it's crossing. The negative reciprocal of 3 is -(1/3).

y=mx+b
5=-(1/3)(1)+b
5=(1/3)+b
4(2/3)=b

your final answer is:
y=(1/3)x+4(2/3)

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