Ariela is selling tickets to a play. Adult tickets cost $12.25 and children's tickets cost $8.75. The total amount of money she collects from ticket sales is at least $90. Let x represent the number of adult tickets sold. Let y represent the number of children's tickets sold. Enter an inequality that represents the situation.

Answers

Answer 1

Answer: adultcost+childcost≥90
numberofadults times cost per adult+numberofchildren times cost per child≥90
12.25x+8.75y≥90

Answer 2

Answer: 12.25x + 8.75y > = 90 (thats greater then or equal) <== ur inequality

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PLEASE HELP I DON'T UNDERSTAND

Answers

Do you remember how to find the equation of a line when you know two points on the line ? Well, that little table gives you FIVE points on the line, and in case some students didn't notice that, the table even labels the columns 'x' and 'y' as a hint. With 5 points given, there are 20 different ways to find the equation of the line. Get to work.

Okay first we need to find the line of best fit. We would need the slope and the y-intercept. First let's solve for slope.

$Slope = (y_2 - y_1)/(x_2 - x_1)$

We would need two coordinates from the table to fill in the data. Let's use (0, 23) and (1, 20).

$(x_1, y_1) = (0, 23); (x_2, y_2) = (1, 20)$

Then we can solve for the y-intercept using the slope-intercept form: y = mx + b.

What is the solution to the system?-2x + y + 6z = 1
3x + 2y + 5z = 16
7x + 3y – 4z = 11

Answers

Answer:

x = 4, y = -2, z = 3

Step-by-step explanation:

$\left\{\begin{array}{ccc}-2x+y+6z=1&(1)\n3x+2y+5z=16&(2)\n7x+3y-4z=11&(3)\end{array}\right\n\n(1)\n-2x+y+6z=1\qquad\text{add}\ 2x\ \text{to both sides}\ny+6z=2x+1\qquad\text{subtract}\ 6z\ \text{from both sides}\ny=2x-6z+1\n\n\text{Substitute it to (2) and (3):}\n\n\left\{\begin{array}{ccc}3x+2(2x-6z+1)+5z=16\n7x+3(2x-6z+1)-4z=11\end{array}\right\qquad\text{use the distributive property}\n\n$

$\left\{\begin{array}{ccc}3x+4x-12z+2+5z=16&\text{subtract 2 from both sides}\n7x+6x-18z+3-4z=11&\text{subtract 3 from both sides}\end{array}\right\n\left\{\begin{array}{ccc}7x-7z=14&\text{divide both sides by 7}\n13x-22z=8\end{array}\right\n\left\{\begin{array}{ccc}x-z=2&\text{multiply both sides by (-13)}\n13x-22z=8\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-13x+13z=-26\n13x-22z=8\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad\qquad-9z=-18\qquad\text{divide both sides by (-2)}\n.\qquad\qquad \boxed{z=2}\n\n\text{Put it ot the equation}\ x-z=2:\nx-2=2\qquad\text{add 2 to both sides}\n\boxed{x=4}\n\n\text{Put the values of}\ x\ \text{and}\ z\ \text{to the equation}\ y=2x-6z+1:\n\ny=2(4)-6(2)+1\ny=8-12+1\n\boxed{y=-3}$

John's teacher wants to buy giant cookies for the entire class. If cookies cost $2.50 each, write an equation that shows how many can be bought with $40 and solve.

Answers

2.5x=40 .. 40/2.5 = 16 . x=16

ALGEBRA! NEED HELP! A rectangular prism has a length of 8 inches and a width of 7 inches. The lateral area is 150 square inches. What is the height of the prism?

Answers

The base's length is 8 and it's width is 7, so it's perimeter will be $2\cdot (7+8)=30$ . To find the lateral area you shoul multiply this with it's height. So, $30\cdot h=150\n h=\frac { 150 }{ 30 } \n h=5$ (h is height).

Answer:

It's 144

Step-by-step explanation:

The cost for a certain music plan is $9.99 per year plus $0.25 per song you downloaded. If you paid $113.74 one year, find the number of songs you downloaded

Answers

They downloaded 415 songs. You can find this solution if you subtract 9.99 from 113.74 then divide that answer by 0.25

I would first add 9.99 and 0.25 then subtract 113.74-1024 which was total to 9.99 0.25 which would give you your awnser of 123.5

There are some parallelograms that are not rectangles

Answers

Answer:

true

Step-by-step explanation:

This is a true statement

To be a rectangle it must have 4 right angles and 2 pairs of parallel sides

A rhombus has 2 pairs of parallel sides so it is a parallelogram, but does not have to have 90 degree angles. (Rhombuses with 90 degree angles are squares)

_________________________________

Yes,itistrue.

Therearesomeparallelogramsthatarenot rectangles.

Rectanglearejustthespecialcaseofparallelogramwheretheanglesareall90degree.Allrectangleshave90degreeanglesandwithparallelogramthatdoesnotalwayshavetobe thecase.Someparallelogramsaresquares,rhombusandmanymore.Aparallelogramisaquadrilateralwith2pairsofopposite,equalandparallelsides.

Hopeithelps..

Goodluckonyourassignment

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