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3 years ago

Our bill was $5.79. Avon has a 5.25% tax and our waitress earned a 15% tip. What was the total bill?

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

3 0

Answer:

$6.96

Step-by-step explanation:

5.25% of $5.79

5.79 × 5.25/100 = $0.303975 or $0.30

15% of $5.79

5.79 × 15/100 = $0.8685 or $0.87

total

$0.29 + $0.87 + $5.79 = $6.96

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If x= 19 feet and y = 12 feet, what is the area and perimeter of the figure above?

Delicious77 [7]

All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then add them!

____________________________

First, let's do the rectangle!

Area of a rectangle = length x width

or in this case... Area = "x" times "y"

Area = 19 × 12 = 228 square feet!

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Now, let's do the circle!

Area of a circle = πr² ... (r = radius)

* In this diagram, the diameter of the circle is also the same length as "y"!

* And remember that radius is half of the diameter.

radius = 6

Now, let's actually calculate the area

Area = π(6)² ⇒ 36π

Area = 113.1 (I rounded up the decimals!)

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*But wait! Look at the figure! It looks like HALF of the circle's area was included when we calculated the area of the rectangle! This means that we should divide the area of the circle (that we just calculated) in half!

Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5

Now let's add the area of the rectangle to the area of the half-circle to find the area of THE ENTIRE FIGURE!

228 + 56.5 = 284.5

284.5 square feet is our answer!

6 0

2 years ago

Find the value of x urgent!! plz help me! will give the brainliest

Anarel [89]

Answer:

x = 2

Step-by-step explanation:

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In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

→ Expand the brackets

$\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0$

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

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→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

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$\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0$

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$\frac{1}{2} (1)-\frac{1}{6} (3) = 0$

⇒ Simplify further

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2 years ago

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Kay [80]

Answer:

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Step-by-step explanation:

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And that is our answer! Hopefully this helps, have a nice day :D

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