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: 7/8

Step-by-step explanation: First you have to multiple 3/4 by 2 so it would be 6/8 and then add it to the 1/8 and it'll be 7/8 correct me if I'm wrong.

Answer:

The correct answer is A.) 45 + 70x < 250.

y = mx + b

She started at 45 miles (+ 45).

She has to go at least 250 miles (< 250).

She is driving at a constant, unchanging speed of 70 mph (70x).

Answer:

(if violation occurs in an active work zone, 15-day suspension).

Step-by-step explanation:

Answer:

It would cost $ 34.5

Step-by-step explanation:

Given,

The cost of 3/4 lb of chopped walnut = $ 3.45,

So, the cost of 1 lb of chopped walnut = 4/3*3.45

=4*1.15

= $ 4.6,

Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut

= 7.5 × 4.6

= $ 34.5

Answer:

undefined

Step-by-step explanation:

well the slope is

[tex]m = \frac{\Delta y}{\Delta x}\\\\=\frac{1-3}{4-4}=\frac{-2}{0}[/tex]

which is undefined

Answer:

Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.

Answer:

-2

Step-by-step explanation:

35 = 5x + 45

So - 45 from both side

-10 = 5x

Divide both side by 5

-2 = x

X = -2

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

Supplementary angles total 180°.

  5x° +x° = 180°

  6x = 180

  x = 180/6 = 30

The value of x is 30.

Answer: -1 5/8 + 3 or -13/8 + 3

Step-by-step explanation:

1/2 (3/4x + 10) - 2 (x + 1)

3/8x + 5 - 2x - 2

Combine like terms

3/8x - 2x + 5 - 2

-1 5/8 + 3

      or

-13/8 + 3

Answer:

15.09

Step-by-step explanation:

with reference angle 28°

perpendicular (p) = 8

base (b) = x

Now

tan 28° = p / b

0.53 = 8 / x

x = 8 / 0.53

x = 15.09

Answer:

3/4*4=3

3/5*6=3.6

2/6*5=1.7

Answer:

4(x-4)

4 is the largest common factor

I hope this helps:

Hey there!

For equations like this I usually find the GCF or Factors of the given numbers for both of numbers and factor/solve it from there!

So, I’ll do the same thing for you.

[tex]\bf{4x: 1,2,4,\& \ x}\\ \bf{16: 1,2,4,8}}[/tex]

GCF: [tex]\bf{4}[/tex]

[tex]\boxed{\bf{Answer: 4(x - 4)}}\checkmark[/tex] (Just distribute and it’ll convert back to the equation in your question

Good luck on your assignment and enjoy your da!

~[tex]\frak{LoveYourselfFirst:)}[/tex]

9514 1404 393

Answer:

  a) 2(L+W)=420; L-W=110

  b) length: 160 ft; width: 50 ft

Step-by-step explanation:

The formula for the perimeter (P) in terms of length (L) and width (W) is ...

  P = 2(L+W)

We can use this as one of the equations. The other will relate the length and width according to their difference:

  L -110 = W

Substituting the given perimeter in the above equation, our system of equations is ...

Substituting for W in the first equation gives ...

  420 = 2(L +(L -110))

  210 = 2L -110

  320 = 2L

  160 = L

  160 -110 = W = 50

The planting area is 160 feet long by 50 feet wide.

_____

Comment on the question

Most national flags have a length/width ratio of 1.5 or 2. The flags of Vatican City and Switzerland are square (1.0). The longest flag is that of Qatar, with an aspect ratio of width:length = 11:28, about 2.545. The "national flag" described here has an aspect ratio of width:length = 5:16, or 3.2. Apparently, it is not to scale, or not from Earth. (The US flag aspect ratio is 1.9.)

Answer:

√88

Step-by-step explanation:

a^2 + 9^2=13^2

a² = 13² - 9²

a² = 169 - 81

a² = 88

Take square root of both sides

a = √88

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

Answer:

3672

Step-by-step explanation:

If  8 gallons of gas were used to drive 204 miles  multiply  18x204=3,672 miles

The car be driven 459 miles on 18 gallons of gas.

A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.

Given,

8 gallons of gas is used to drive 204 miles.

Also, the number of miles driven varies directly with the number of gallons of gas used.

Therefore, (number of miles)/18 = 204/8

                    number of miles = 18 × (204/8)

                                                = 18 × 25.5

                                                = 459 miles

Hence, the car be driven 459 miles on 18 gallons of gas.

To learn more about proportionality visit:

https://brainly.com/question/2548537

#SPJ1

Answer:

Answer E

Step-by-step explanation

The statement gives a probability of approximately 0.022 for the difference in sample proportions, pˆA−pˆS, being greater than 0.

The interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".

Given :

The following steps can be used in order to determine the best interpretation of the given expression:

Step 1 - According to the given data, pA is the population proportion of adults who live in the city who prefer pop music.

Step 2 - Also given that pS is the population proportion of students who live in the city who prefer pop music.

Step 3 - So, the interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/8069952

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on  12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

and for Anjali spending  $60 on 6 day lilies and 3 pots of ivy be

6d+ 3i = $60------ equation 2

Step 2 --- Solving

 12 d+ 4i = 116 ---- equation 1

6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1  from it

12d+ 6i= 120

--12 d+ 4i = 116

2 i= 4

i = 4/2 = 2

TO find d, putting the value of i = 2 in equation 1 and solving

12d+ 4(2) = 116

12d= 116-8

12d= 108

d= 108/12= 9

Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2

Answer:

C. 5/7

Step-by-step explanation:

Answer:

It is C.5/7

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

0.5

[tex]points \: of \: best \: fit \: are \\ (9, 5) \: and \: (1, 1) \\ slope = \frac{(1 - 5)}{(1 - 9)} \\ = \frac{ - 4}{ - 8} \\ = \frac{1}{2} \\ = 0.5[/tex]

Answer:

the aswer would be B because x<50 therefor the highst posible value for x is 49 and 3x49 is 147 which is less than 150

Answer:

x=60

Step-by-step explanation:

The sum of interior angles of a regular Pentagon is 540°

x+2x+2.5x+x+10+2x+20=540

8.5x=540-30

8.5x=510

x=510/8.5=60

Answer:

Step-by-step explanation:

Sum of interior angles of a regular polygon is:

Pentagon has 5 sides, so sum of angles is:

For the given pentagon we have sum of angle measures as below, and solving for x:

Answer:

x=19

Step-by-step explanation:

5(x+35)=9(300

5x+175=270

5x=270-175

5x=95

95/5=19X

Answer:

More than

Step-by-step explanation:

Answer:

more than 20%

Step-by-step explanation:

3.00/12.50 = .24

Meaning the tip was 24% ( more than 20% )

Answer:

the values of x and y, based on the figure on the right is of b

x=76°,y=48°

Answer:

Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Step-by-step explanation:

We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.

Solving:

[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]

We can write it as:

[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]

Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]

[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]

Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same

[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]

So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Answer:

look at the pictures

Step-by-step explanation:

HOPE THIS helps