Maria has purchased a basic stained glass kit for $100. She plans to make stained glass suncatchers and
sell them. She estimates that the materials for making each suncatcher will cost $13. Model this situation
with a rational function that gives the average cost of a stained glass suncatcher when the cost of the kit
is included in the calculation. Use the graph of the function to determine the minimum number of
suncatchers that brings the average cost below $22.50.
The minimum number of suncatchers that brings the average cost below
$22.50 is

Answer:

x=7

y=5

Step-by-step explanation:

quadrilaterals have 360 degrees, and their opposite angles are equal

15x+5=16x-2

7=x

(plug back in to find angle)

15(7)+5=110

that angle, plus opposite angle, equals 110.

360-220=140

140/2=70

now we know the value of other unsolved angle

70=12y+10

60=12y

5=y

Answer:

1) 26.1% increase

2) 20% decrease

Work:

1)

-subtract the larger # from the smaller # to figure out what the change was.

[tex]8.8 - 6.5 = 2.3[/tex]

-divide 2.3 by the orriginal ammount (8.8) to find your answer as a decimal

[tex]2.3 \div 8.8 = 0.261[/tex]

-take 0.261 and multiply it by 100 to have your answer as a percent

[tex]0.2614 \times 100 = 26.1[/tex]

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

2)

-subtract the larger # from the smaller # to figure out what the change was.

[tex]15 - 12 = 3[/tex]

-divide 2.3 by the orriginal ammount (15) to find your answer as a decimal

[tex]3 \div 15 = 0.2[/tex]

-take 0.2 and multiply it by 100 to have your answer as a percent

[tex]0.2 \times 100 = 20[/tex]

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

Answer:

Step-by-step explanation:

Changing to slope-intercept form:

-10x + 8y = 3         {add 10x to both sides}

8y = 10x + 3         {divide both sides by 8}

y = ⁵/₄x + ³/₈

Two lines are perpendicular if the product of their slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

y = ⁵/₄x + ³/₈   ⇒   m₁=⁵/₄

⁵/₄×m₂ = -1        ⇒    m₂ = -⁴/₅

The line y=-⁴/₅x+b passes through point (15, 2) so the equation:

2 = -⁴/₅×15 + b must be true

2 = -12 + b

b = 14

Therefore equation in  slope-intercept form:

                                                     y = -⁴/₅x + 14

Answer:

B . 980 just trust me

Step-by-step explanation:

You set up proportions

Answer:(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

Khan said so:

(6+x) (6-x)

Answer:

$0.56

Step-by-step explanation:

Cost of 3 1/3 pounds of beef at $1.35 per pound

= 3 1/3 × 1.35

= 10/3 × 1.35

= $4.5

He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $

= $4.5 / 8

= $0.5625

Approximately $0.56 to the nearest cent

Answer: 9 cents

Step-by-step explanation: 6.30 divided by 7 is 0.9

Answer:

60try to get it done before the end of this week

Answer:

21=1 x 21

21=3 x 7

Step-by-step explanation:

pls mark brainliest to help rank :)

1) 1

2) 7

i hope you understand

Answer:

260 miles

Step-by-step explanation:

Given that:

Distance covered in 7 hours = 455 miles

Number of miles train will travel in 4 hours

Average travel speed per hour :

Distance traveled / time taken

455 miles / 7 hours

= 65 miles per hour

Number of miles traveled in 4 hours :

Average Speed per hour * time

(65 * 4) = 260 miles

Answer:

Note: I'm assuming that he keeps 1/8 of the money spent for himself.

If this is what the question was asking, then the answer would be:

Argyle must sell $4,000 worth of computers.

Step-by-step explanation:

First, we write an equation.

1/8n = $500

Note: n is the variable I'm using to represent the amount of money Argyle must sell to get $500 as commission.

Then, to get the value of n and to get rid of the fraction, we multiply both sides by 8:

1/8n * 8 = $500 * 8

= n = $4000

Therefore, Argyle must sell $4,000 worth of computers to keep 1/8 ($500) as commission.

Answer: the first graph

Step-by-step explanation:

The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The correct option is A.

The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At the y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

Given f(x)=2, therefore, the graph will have a y-intercept as 0.

But when the value of f(x) = 2(x) + 2, then the graph of the function will have the y-intercept at 2.

Hence, the correct option is A.

Learn more about Y-intercept:

https://brainly.com/question/16540065

#SPJ2

Answer:

x < 11

Step-by-step explanation:

2x - 22  =   2 • (x - 11) 

Divide both sides by  2 

Add  11  to both sides

so your answer is

 x < 11

Answer:

when y=65, x=20

Step-by-step explanation:

We are given:

y varies directly as x

and y=26, when x=8

We need to find x, when y = 65

y varies directly as x can be written as:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality.

Finding k, when y=26 and x=8

[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]

We get the value of k = 3.25

Now, we need to find value of x, when y=65 and k=3.25

[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]

So, when y=65, x=20

Answer:

24

Step-by-step explanation:

2/10

120 ÷ 10 = 12

2 x 12 = 24

10 x 12 = 120

24/120

Answer:

24

Step-by-step explanation:

120 % 10  = 12

2 x 12 = 24

Answer:

The answer for me would be a) exactly 4 of them have red hair

Step-by-step explanation:

being that there is 26 percent of people in Gingerland that gave red hair I cam assume that that is a lot of people being that Gingelrand is like a city/town so exactly 4 of them is what I assume is the amswer

Answer:

l=25, w=10

Step-by-step explanation:

2(25)+2(10)=70

25*10=250

25-5=20

10+5=15

20*15=300

Answer:

width = 10

lenghth = 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you download Socratic it give u all the answers for free

Answer: Other guy is right.

Step-by-step explanation:

Answer:

(-7,8)

Step-by-step explanation:

The given point (x,y)=(-2,5)

Assuming that right and up directions are positive, so left and down directions are negative.

So, after a translation left 5 units and up 3 units, the image point = (x-5, y+3)

=(-2-5, 5+3)= (-7,8)

Hence, the image point is (-7,8).

Answer: 7 waffles

Step-by-step explanation: trust me pls. you have a total of 120 minutes. 7 waffles takes you 105 minutes, and the remaining 15 minutes can be spent on 3 cookies.

Question:

A route from point A to point B. 1 inch on the map equals 25 miles.

Manuel is leaving Boston to go on a hike at Mt. Monadnock, in New Hampshire. He mapped out a route with the map scale of 1 in. = 25 mi and found the total distance on the map to be about 3.2 inches. What is the actual distance Manuel will travel?

Answer:

Point A to point B - 1 inch on the map = 25 miles - 80 Miles

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

got it right

Answer:

l

Step-by-step explanation:

Step-by-step explanation:

5x +10° + 58° = 11x + 2°( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

5x + 68° = 11x + 2°

11x - 5x = 68° - 2°

6x = 66°

x = 66° / 6

Therefore x = 11°

Hope it will help you :)

Answer:

2x+3x=150 ( sum of opposite interior angle of triangle is equal to the exterior angle)

5x=150

x=150/5

x=30

Answer:

21 6

7 2

14 4

Step-by-step explanation:

not sure |•-•|

Answer:

2

Step-by-step explanation:

Answer:

1 Binomcdf (10,1/6,3)

Step-by-step explanation: