Trevor built 8 birdcages to sell at the Connellsville Craft Show. He hopes to earn $112. Trevor will write an equation for p, the price in dollars he will charge for each birdcage.

A. Write an equation for the scenario.





B. What value of p makes the equation true? Explain how you found your answer.








C. Suppose Trevor decided he wants to earn $270 with the 8 birdcages. Write an
equation he could use to find p, the price in dollars he should charge for each birdcage. Tell how much Trevor should charge now, and explain why your answer is correct.

Solve equation [2] for the variable y

[2] 2y = -5x + 1

[2] y = -5x/2 + 1/2

// Plug this in for variable y in equation [1]

[1] 7x - 3•(-5x/2+1/2) = -5

[1] 29x/2 = -7/2

[1] 29x = -7

// Solve equation [1] for the variable x

[1] 29x = - 7

[1] x = - 7/29

// By now we know this much :

x = -7/29

y = -5x/2+1/2

// Use the x value to solve for y

y = -(5/2)(-7/29)+1/2 = 32/29

Solution :

{x,y} = {-7/29,32/29}

Answer: 30%

Step-by-step explanation:

Answer:

a rectangle

Step-by-step explanation:

i made my own graph on paper

Answer:

The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect. 

Step-by-step explanation:

Took the "quiz"

(Please mark Brainliest)

Answer:

The difference is

Step-by-step explanation:

Given

Large triangle

[tex]Base = 5cm; Height=9cm[/tex]

Small triangle

[tex]Base = 2cm; Height=6cm[/tex]

See attachment for logo

Required

The difference in their areas

Area is calculated as:

[tex]Area = 0.5 * base * height[/tex]

For the large triangle

[tex]Area = 0.5 * 5cm * 9cm[/tex]

[tex]Area = 22.5cm^2[/tex]

For the small triangle

[tex]Area = 0.5 * 2cm * 6cm[/tex]

[tex]Area = 6cm^2[/tex]

The difference (d) is calculated as:

[tex]d = 22.5cm^2 - 6cm^2[/tex]

[tex]d = 16.5cm^2[/tex]  

Answer:

12.1 cm

Step-by-step explanation:

Given:

The volume of a cylinder is 95 cubic centimetres.

To find:

The equation that can be used to find h, the height of the cylinder.

Solution:

We know that, the volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

We know that the base of the cylinder is a circle and the area of the circle is [tex]\pi r^2[/tex]. So, the base area of the cylinder is [tex]B=\pi r^2[/tex].

Now, volume of the cylinder is

[tex]V=Bh[/tex]

The volume of a cylinder is 95 cubic centimetres.

[tex]95=Bh[/tex]

[tex]\dfrac{95}{B}=h[/tex]

[tex]h=\dfrac{95}{B}[/tex]

Where B is the base area of the cylinder.

Therefore, the correct option is G.

Answer:

Step-by-step explanation:

Base area * height

Answer:

i think that the answer is BH or Base area × Hight

Answer:

that is what it would look like

Hope it helps!❤❤

Answer:

254.34 ft^2

Step-by-step explanation:

The equation for area of a circle is π*r^2, where r is the radius of the circle. So we do 3.14*9^2 for the answer

Answer:

254.34 ft

Step-by-step explanation:

radius (9)

multiply it by itself (9x9)

so then you get 81

then the two radius squared (81) is multiplied by pi (3.14)

Answer:

47/9

Step-by-step explanation:

5*9 = 45 +2 = 47

Answer: 628 cubic feet

Step-by-step explanation: First, find the area of the circle. Using the formula "TTr^2", you can find the area of the circle. Since the diameter is given, and not the radius, divide 10 by 2, and it gives you 5. Now, use the formula. 5 x 5 = 25, and then multiply it by 3.14 which gives you 78.5. Now that we have found the area of the circle, multiply the area by 8 to find the volume of the cylinder. 78.5 x 8 is 628 cubic feet, and that is the volume of the cylinder.

Answer:

1.) 1.12/10= 1 2/10= 1.2%       10*1.2%=12

2.) 8/10=0.80%                     10*0.80=8

3.)10/12=0.83%                     12*0.83=10    

%*whole

Answer:

Part 1: It is not a valid conclusion to say that track and field sports are more popular than soccer based on the survey. The survey was taken at a track and field event so the people that were surveyed are probably biased.

Part 2: A better way of determining which sport is more popular is by counting how many people show up to each event and comparing the results.  

Answer:

Ratio (r) = 2

n = 7

Step-by-step explanation:

The formula for the sum of the nth term of a G.P is given as:

Sn = a(1-r^n)/(1-r)

Where n = Number of terms

r = Common ratio

The sum of the 1st nth term gp is 127.

Hence:

127 = 1(1-r^n)/(1-r)

The sum of the reciprocal is 127/64

The formula is inverted , hence:

Sn = 1/a(1-r^n)/(1-r)

127/64 = r^(1-n)(1-r^n)/(1-r)

Hence:

1/64 = r^(1-n)

r^(n-1) = 64

r^(n-1) = 2⁶

Hence:

r = 2

Solving for n

n - 1 = 6

n = 6 + 1

n = 7

Therefore:

r = 2

n = 7

Answer:

-2/3

Step-by-step explanation:

2-4 / 2-(-1)

2-4 / 2+1

-2/3

Answer:

Step-by-step explanation:

a² + b² = c²

side1² + side2²  = hypotenuse²      side 1 = 6.75       hypotenuse = 11.25

                                                        solve for     side 2 = ???

side2²  =  hypotenuse²  -  side1²

side2  =  [tex]\sqrt{hypotenuse^2 - side1^2}[/tex]

          = √(11.25² - 6.75²)

          = √(126.56 - 45.56)

          = √(81)

side 2 = 9

Answer:

5t + 4y

Step-by-step explanation:

Answer:

64 degrees.

Step-by-step explanation:

We are given that angle QRP is 32 degrees.

We are also given that angle PRS is 84 degrees.

Add those two angles to get the measure of angle QRS.

measure of angle QRS= 116 degrees.

Same-side interior angles are supplementary

So,

116+ angle PQR= 180

subtract both sides by 116.

PQR=64

Therefore the measure of angle PQR is 64 degrees.

I hope this helps

Answer:

A=105.12ft sq

Step-by-step explanation:

Area of the rectangle

A=8(10)

A=80

Area of the circle

if d=8 then r=4

A= (1/2) 3.14(4)

A= (1/2) 3.14(16)

A=3.14(8)

A=25.12

Area of the whole thing

A=80+25.12

A=105.12ft sq

Answer:

3

Step-by-step explanation:

105/7hrs

15/1hr

15/60min

0.25/per minute

0.25*12

= 3

Answer:

Step-by-step explanation:

We have the value of the hypotenuse and we are trying to find out the adjacent. This means we can use cos.

Cos (45) = x/10

10 * Cos (45) = 10 * (√2 / 2)

This should equal to 5√2

Answer:

-6 2/3

Step-by-step explanation:

Won't waste your time with an explanation since this is a multiple choice question.

Split it into two rectangles:

6 x 2 x 2 = 24

3 x 2 x 2 = 12

Now add:

24 + 23 = 36 cubic feet