A party planner wants 220 balloons in each of the 3 rooms. If balloons come in packages of 50 balloons, how many packages must be bought to fill the 3 rooms?

Answer:

[tex]y = -3x[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the graph equation

To do this, we pick any 3 corresponding points of x and y

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (2,-6)[/tex]

[tex](x_3,y_3) = (-4,12)[/tex]

The equation can then be solved using linear interpolation as follows:

[tex]\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}[/tex]

This gives:

[tex]\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6}{2}[/tex]

[tex]\frac{y-12}{x+4} = -3[/tex]

Multiply both sides by x + 4

[tex](x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)[/tex]

[tex]y - 12 = -3 *(x + 4)[/tex]

Open bracket

[tex]y - 12 = -3x -12[/tex]

Add 12 to both sides

[tex]y - 12+12 = -3x -12+12[/tex]

[tex]y = -3x[/tex]

Answer:

X

Step-by-step explanation:

Answer:

14.28 and 6.75

Step-by-step explanation:

she earns 14.28 per hour and 6.75 each time.

Answer:A=X x=8

B=x X=9

C=x X=10

Step-by-step explanation:

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex]f(x) = - 5 {x}^{2} + 10x + 8[/tex]

[tex]0 = - 5 {x}^{2} + 10x + 8[/tex]

[tex] - 5 {x}^{2} + 10x + 8 = 0[/tex]

[tex]delta = {10}^{2} - 4( - 5)(8)[/tex]

[tex]delta = 100 + 160[/tex]

[tex]delta = 260[/tex]

[tex]x = \frac{ - (10) + \sqrt{delta} }{2 \times ( - 5)} \\ [/tex]

[tex]x = \frac{ - 10 + \sqrt{260} }{ - 10} \\ [/tex]

[tex]x = \frac{ - 10 + 2 \sqrt{65} }{ - 10} \\ [/tex]

[tex]x = \frac{ - 5 + \sqrt{65} }{ - 5} \\ [/tex]

And

[tex]x = \frac{ - 10 - \sqrt{delta} }{ - 10} \\ [/tex]

[tex]x = \frac{ - 10 - 2 \sqrt{65} }{ - 10} \\ [/tex]

[tex]x = \frac{ 5 + \sqrt{65} }{5} \\ [/tex]

______________________________________

Thus list the zeroes of the function is :

[tex]x = \frac{ - 5 + \sqrt{65} }{ - 5} \\ [/tex]

And

[tex]x = \frac{5 + \sqrt{65} }{5} \\ [/tex]

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Answer:

1/105

Step-by-step explanation:

First, the probability that Joe chooses a grand prize bag is 2/15 because there are 2 grand prize bags out of 15 total bags.

Next, the probability that Devon chooses a grand prize bag is 1/14 because if Joe already chose one of the grand prize bags, there is only 1 left out of a total of 14 bags left.

The last step is to multiply those two bags, so [tex]\frac{2}{15} * \frac{1}{14}[/tex] = [tex]\frac{1}{105}[/tex]

Step-by-step explanation:

25/-15×9

The answer is -15

Answer:

0.48

Step-by-step explanation:

2.88/6=0.48

Answer:

x=37 CD=20

Step-by-step explanation:

We know this becuase the two triangles are congruent.

Answer:

Domain is 0-12 and the range is 0-10

Step-by-step explanation:

The domain is the x values and the range is the y values

Answers:

Domain: [tex]0 \le x \le 12[/tex]

Range: [tex]0 \le y \le 10[/tex]

===============================================

Explanation:

The domain is the set of all possible x inputs. The x axis is along the horizontal, so x refers to the number of minutes. The smallest x can get is x = 0 and the largest is x = 12. To describe everything in between those endpoints, including both endpoints, we write [tex]0 \le x \le 12[/tex]

The range is the set of all possible y outputs. The y axis is vertical so y refers to the distance from home. The smallest distance is y = 0 and the largest distance is y = 10. So we say the range is [tex]0 \le y \le 10[/tex] to describe everything in between 0 and 10, including those endpoints.

Side note: 12 minutes = 12/60 = 0.2 hours. You travel 10 miles in 0.2 hours, so the speed is distance/time = 10/0.2 = 50 mph.

Answer:

For Literature = 90 pages

For Grammar = 60 pages

Step-by-step explanation:

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Literature : Grammar

3 : 2

Total number of Proportion = 3 + 2 = 5

For Literature

= 3/5 × 150 pages

= 90 pages

For Grammar

= 2/5 × 150 pages

= 60 pages

Answer: (9 x 10^10) - (4 x 10^10) in scientific notation is 5x x 10^10

The answer is 3,150

Step-by-step explanation:

You multiply 1350 with 7 and divide it by 3 and you get 3,150 as your answer.

Answer:

The median is 3.2 miles

Step-by-step explanation:

Answer:

5/20 and 8/20

Step-by-step explanation:

The LCM of denominators is 20

Answer:

Length

√45 units

Distance

√13 units

Step-by-step explanation:

Here, we want to calculate the length and the distance between the points

To calculate the length, we need the coordinates of the points

These are;

(1,-2) and (4,4)

the length can be calculated using the formula for the distance between two points

Mathematically, that will be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(1-4)^2 + (-4-2)^2

D = √(9 + 36)

D = √45 units

We use the same formula to get the distance between the two given points

that will be;

D = √(5-3)^2 + (-2-1)^2

D = √(2)^2 + (3)^2

D = √13 units

Answer:

Step-by-step explanation:

H

Answer:

15

Step-by-step explanation: 3x5=15

so thx 4 the points

Answer:

9999

Step-by-step explanation:

Answer:

6969

Step-by-step explanation:

Answer:

x = 45°

y = 90°

Step-by-step explanation:

Angles in a Triangle

The sum of the internal angles in a triangle is 180°.

On the other hand, the tick marks on the triangle tell us it's an isosceles triangle, thus the angle formed at both sides of the triangle is x.

Finally, angle x and 135° are a linear pair that always add up to 180°, thus

x = 180 - 135 = 45

x = 45°

The angle y can be found by completing the measure needed to 180°:

x + x + y = 180

y = 180 - 2x = 180 - 90

y = 90°

Answer:

-1 is the answer

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

10 + (-11) + 5 + (-5)

=10 - 11 + 5 - 5

=10 - 11

= -1

hope this help, if this don't forget to click the " thanks" button! :)

Answer:

cooma 2.5

Step-by-step explanation:

i did the quiz

am different    \_(*-*)_/

Step-by-step explanation:

Zoo

4=60

8=120

12=180

16=240

Museum

5=95

10=190

15=285

20=380

Answer:

One is a = 2, b = 3 AND another one is a = 11, b = 12

Step-by-step explanation:

They all fit this description. b = 1+a

Answer:

A

Step-by-step explanation:

A is the only choice that has all of the steps and in order.

Answer:

sdfg

Step-by-step explanation:

xcvbn