The Keller family's dinner bill is $55.35. This includes an 8% meal tax and a 15% tip on original meal for the server

Answers

Answer 1

Answer:

The Keller family spent a total of $63.04.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

First, let's find the cost of the meal before tax and tip.

We know that the total bill, including tax, is $55.35, which is equal to 100% + 8% (the tax rate) = 108% of the original meal cost.

We can set up an equation to solve for the original meal cost (let's call it x):

x + 0.08x = 55.35

Simplifying the left-hand side:

1.08x = 55.35

Dividing both sides by 1.08:

x = 51.25

So the cost of the meal before tax and tip was $51.25.

Next, let's calculate the amount of tax they paid:

0.08x = 0.08(51.25) = 4.10

So the tax they paid was $4.10.

Now let's calculate the tip they left for the server. They left a 15% tip on the original meal cost of $51.25:

0.15(51.25) = 7.69

So the tip they left was $7.69.

Finally, to find out how much they spent in total, we add up the cost of the meal, the tax, and the tip:

51.25 + 4.10 + 7.69 = 63.04

Therefore, the Keller family spent a total of $63.04.

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Complete question:

The Keller family's dinner bill is $55.35. This includes an 8% meal tax and a 15% tip on original meal for the server how much did they spend in total?

Answer 2

Answer: You find 8% of 55.35 which is 4.42
Then you find 15% of 55.35 which is 8.30
You add them together which equals 12.72
You then subtract 12.75 from 55.35 55.35-12.75=42.63
The original price was $42.63

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Evaluate e^4 to one decimal place.

Answers

Answer:

The $e^(4)$ to one decimal is 54.6

Step-by-step explanation:

we need to calculate $e^(4)$ to one decimal.

Since, $e^(x)=1+(1)/(x!)+(x^(2))/(2!)+(x^(3))/(3!)+......$ ....(1)

To calculate $e^(4)$ , put x=4 in equation (1)

$e^(4)=1+(1)/(4!)+(4^(2))/(2!)+(4^(3))/(3!)+......$

$e^(4)=1+(1)/(24)+(16)/(2)+(64)/(6)+......$

simplify the above expression

$e^(4)=1+(1)/(24)+(16)/(2)+(64)/(6)+(256)/(24)+(1024)/(120)......$

calculate with the scientific calulator

< 0.1 =54.6

Hence, $e^(4)$ to one decimal is 54.6

The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6

I hope this helps!

Which is bigger 2/5 or 4/9

Answers

The easiest way to solve this comparison without any unusual comparisons is to find a common denominator for the two fractions.

2/5 = 18/45
4/9 = 20/45

Since 20/45 is bigger than 18/45, we know that 4/9 is greater than 2/5

When factored completely, the expression p^4 - 81 is equivalent to(1) (p^2 + 9)(p^2 - 9)
(2) (p^2 - 9)(p^2 - 9)
(3) (p^2 + 9)(p + 3)(p - 3)
(4) (p + 3)(p - 3)(p + 3)(p - 3)

Answers

p⁴ - 81
p⁴ + 9p² - 9p² - 81
p²(p²) + p²(9) - 9(p²) - 9(9)
p²(p² + 9) - 9(p² + 9)
(p² - 9)(p² + 9)
(p² + 3p - 3p - 9)(p² + 9)
(p(p) + p(3) - 3(p) - 3(3))(p² + 9)
(p(p + 3) - 3(p + 3))(p² + 9)
(p - 3)(p + 3)(p² + 9)

The answer is (3).

Final answer:

The expression p^4 - 81, when factored completely, is equivalent to (p^2 + 9)(p^2 - 9) using the difference of squares formula.

Explanation:

When the expression p^4 - 81 is factored completely, it becomes equivalent to (p^2 + 9)(p^2 - 9). This can be calculated using the rule of difference of squares which states that a^2 - b^2 = (a - b)(a + b). Here, p^4 can be considered as a square of p^2 and 81 as a square of 9. Hence p^4 - 81 = (p^2)^2 - 9^2. Applying difference of squares formula we get (p^2 - 9)(p^2 + 9).

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Explain how you would write 36/10 as s decimal

Answers

So make the improper fraction into a mixed fraction.
36/10 in mixed fraction form is 3 6/10
You know that 3 is a whole number and 6 is the decimals tenths place so the decimal is 3.6

I would write 36/10 as a decimal by first dividing 36 by 10 to get 3.60. Your answer is 3.60.

The slope of a line is -1/3 and the y-intercept is 10/3. What is the equation of the line written in general form?

Answers

$Slope-intercept\ form:y=mx+b\n\nm-slpoe\nb-y-intercept\n\ny=-(1)/(3)x+(10)/(3)\n\nGeneral\ form:Ax+By+C=0\n\ny=-(1)/(3)x+(10)/(3)\n\n(1)/(3)x+y-(10)/(3)=0\ \ \ \ /\cdot3\n\nx+3y-10=0$

In slope-intercept form:
y = mx + b

where:
m = slope = -1/3
b = y-intercept = 10/3

y = (-1/3)x + 10/3

However, you want the equation organized in general form, which is:
Ax + By + C = 0

This simply requires us to rearrange terms (starting from slope-intercept form):
y = (-1/3)x + 10/3
(moving all terms to the left)
y - (-1/3)x - 10/3 = 0
y + 1/3x - 10/3 = 0

1/3x + y - 10/3 = 0

For general form:
A = 1/3
B = 1
C = -10/3

Please help and answer

Answers

Answer: choice C

Step-by-step explanation:

sorry if wrong

Answer:

Step-by-step explanation:

because its c but its c

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