All categories

2 years ago

A family went out to dinner. The cost of their meal was $689, before sales tax and tip.A sales tax of 8% was added.

Mathematics

1 answer:

Studentka2010 [4]2 years ago

3 0

Answer:

The family paid $55.12 in sales tax. TOTAL= $148.82 + $55.12

Step-by-step explanation:

<u>IMPORTANT FORMULA: To convert a percent to a number, you need to divide by 100. </u>

Therefore, 8% = 8/100 = 4/50 = 2/25

The family paid a total of $689 without sales tax or tips.

8% of $689 would equal the amount that the family paid for sales tax.

We already found what 8% is equal to and keep in mind that the word "of" means multiplication.

2/25 * $689 = sales tax

$55.12 = sales tax

PART B) Now we have to find the total amount the family paid.

We have to add $689 with sales tax and tips.

We have to find tips.

Using the formula <u>To convert a percent to a number, you need to divide by 100. </u>

20% = 20/100 = 2/10 = 1/5

1/5 * ($689 + $55.12) = tips

tips = $148.82

TOTAL= $148.82 + $55.12

You might be interested in

Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y

Agata [3.3K]

Given:
y varies directly with x
y = 8 when x = -6

what is the value of y when x = -2?

y = kx

we need to get the constant of variation.
8 = k(-6)
8/-6 = k
4/-3 = k or - 1 1/3

y = -4/3 (-2)
y = (-4*-2) / 3
y = 8 / 3
y = 2 2/3 OR 2.67

The correct answer is Choice B. y = -1.33x ; 2.67

4 0

3 years ago

Hello! How do I find the surface area of this prism? Thanks!

Studentka2010 [4]

Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35

So
LSA = p*d
LSA = 11.35*10
LSA = 113.5

Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm

8 0

3 years ago

Answer number 4 and 5 plzs

Makovka662 [10]

The answer is 9, you have to add them together which equals 9.

5 0

3 years ago

Read 2 more answers

A group of students were asked if they like Math class and if they like English class.

padilas [110]

A if that’s wrong i’m vv sorry

5 0

2 years ago

Read 2 more answers

You flip a coin four times and then roll a fair six sided die four times. The coin lands heads up every time in the day shows an

exis [7]

Answer:

0.00390625

Step-by-step explanation:

For coins :

Number of rolls, trials, n = 4

P(heads) = 0.5

Using binomial probability formula :

P(x =x) : nCr * p^x q ;

P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

P(even number from 4 coin tosses)

Even faces = (2,4,6)

Total faces = (1,2,3,4,5,6)

P(success) = 3/6 = 0.5

P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625

8 0

2 years ago