Multiply 80 by the decimal version of the percentage, .085, to get the tax of $6.8. Then add 6.8 to 80 and get the final price of the shoes $86.80
The equation for it is: y = -3x + 5
Answer:
R1: Given
R2: Subtraction Property of Equality
R3: Distribute Property
R4: Addition Property of Equality
R5: Division Property of Equality
Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°
Given: ∠1 + ∠2 = ∠ 4
∠4 + ∠3 must be 180° because they are supplementary
If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.
Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.
Plz mark brainliest:)
Answer: ![x=-2.8](https://tex.z-dn.net/?f=x%3D-2.8)
Step-by-step explanation:
Given the following equation:
![0.7x+6=0.3(4x+6)-2x](https://tex.z-dn.net/?f=0.7x%2B6%3D0.3%284x%2B6%29-2x)
You can follow these steps in order to solve for "x" and find its value:
1. Apply Distributive property on the right side of the equation:
![0.7x+6=0.3(4x+6)-2x\\\\0.7x+6=1.2x+1.8-2x](https://tex.z-dn.net/?f=0.7x%2B6%3D0.3%284x%2B6%29-2x%5C%5C%5C%5C0.7x%2B6%3D1.2x%2B1.8-2x)
2. Subract
from both sides and add the like terms:
![0.7x+6-(0.7x)=1.2x+1.8-2x-(0.7x)\\\\6=-1.5x+1.8](https://tex.z-dn.net/?f=0.7x%2B6-%280.7x%29%3D1.2x%2B1.8-2x-%280.7x%29%5C%5C%5C%5C6%3D-1.5x%2B1.8)
3. Subtract 1.8 from both sides:
![6-(1.8)=-1.5x+1.8-(1.8)\\\\4.2=-1.5x](https://tex.z-dn.net/?f=6-%281.8%29%3D-1.5x%2B1.8-%281.8%29%5C%5C%5C%5C4.2%3D-1.5x)
4. Finally, divide both side of the equation by -1.5:
![\frac{4.2}{-1.5}=\frac{-1.5x}{-1.5}\\\\x=-2.8](https://tex.z-dn.net/?f=%5Cfrac%7B4.2%7D%7B-1.5%7D%3D%5Cfrac%7B-1.5x%7D%7B-1.5%7D%5C%5C%5C%5Cx%3D-2.8)
Answer:
56.52 feet.
Step-by-step explanation:
We have been given that a rotating sprinkler sprays at a steady stream of water that is nine feet long. We are asked to find the approximate circumference of a circular area it sprays with water.
We will use circumference of circle formula to solve our given problem.
, where r represents radius of the circle.
![\text{Circumference of circular area}=2\times 3.14\times \text{9 ft}](https://tex.z-dn.net/?f=%5Ctext%7BCircumference%20of%20circular%20area%7D%3D2%5Ctimes%203.14%5Ctimes%20%20%5Ctext%7B9%20ft%7D)
![\text{Circumference of circular area}=56.52\text{ ft}](https://tex.z-dn.net/?f=%5Ctext%7BCircumference%20of%20circular%20area%7D%3D56.52%5Ctext%7B%20ft%7D)
Therefore, the circumference of the circular area is approximately 56.52 feet.