Answer: To answer this question, substitute the number of tickets sold for the x value.
y = 3.4(15) + 43
Solve the equation by first multiplying the 3.4 and the 15.
3.4 x 15 = 51
This leaves your equation looking like this:
y = 51 + 43
The final step is to add he two integers together.
51 + 43 = 94
So the final answer is y = 94
Hope this helps... Stay safe and have a great weekend!!! :D
The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
The correct answer is: x < 1.25
To solve this, we following the same steps as when solving inequalities. We just have to remember to reverse the sign if we multiply or divide by a negative number.
-1.2x - 8.2 > -9.7
-1.2x > -1.5
x < 1.25
Answer:
-42
Step-by-step explanation:
![a_{1} = 0\\a_{2} = 2(0-3) = -6\\a_{3} = 2(-6-3) = -18\\a_{4} = 2(-18-3) = -42](https://tex.z-dn.net/?f=a_%7B1%7D%20%20%3D%200%5C%5Ca_%7B2%7D%20%20%3D%202%280-3%29%20%3D%20-6%5C%5Ca_%7B3%7D%20%20%3D%202%28-6-3%29%20%3D%20-18%5C%5Ca_%7B4%7D%20%20%3D%202%28-18-3%29%20%3D%20-42)
Answer: Disposable income = $100.
Explanation:
Since we have given that
![C=\$25+0.75Y](https://tex.z-dn.net/?f=C%3D%5C%2425%2B0.75Y)
And, average propensity to consume = 1
i.e. APC = 1
As we know the formula of APC ,
![APC=\frac{C}{Y}=1\\\\\implies C=Y](https://tex.z-dn.net/?f=APC%3D%5Cfrac%7BC%7D%7BY%7D%3D1%5C%5C%5C%5C%5Cimplies%20C%3DY)
So, our equation becomes,
![Y=\$25+0.75Y\\\\Y-0.75Y=\$25\\\\0.25Y=\$25\\\\y=\frac{25}{0.25}\\\\Y=100](https://tex.z-dn.net/?f=Y%3D%5C%2425%2B0.75Y%5C%5C%5C%5CY-0.75Y%3D%5C%2425%5C%5C%5C%5C0.25Y%3D%5C%2425%5C%5C%5C%5Cy%3D%5Cfrac%7B25%7D%7B0.25%7D%5C%5C%5C%5CY%3D100)
Hence, Disposable income = $100.