Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday. The cost of the pizza and soft drinks before sales tax and tip was $47.96. What is the amount of sales tax for the bill if the rate is 7%? Show your work.

Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

Segment TA is congruent ts segment EF

Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

Answer: cannot be determined

Step-by-step explanation:

there isnt a rule SSS

Answer:

44

Step-by-step explanation:

1/2m-3/4n=16 , m when n=8

1/2m-3/4n=16

1/2m - 3/4(8) = 16

1/2m - (8 x 3)/4 = 16

1/2m - (24/4) = 16

1/2m - 6 = 16

1/2m = 16 + 6

1/2m = 22

m = 22 x 2

m = 44

Answer:

  $86.81

Step-by-step explanation:

Using the given formula, we want to compute A for ...

  P = 4750

  r = 0.2279

  n = 365 . . . . . assuming "exact" interest

  t = 1 or 30

For 1 day late:

  A = 4750(1 +0.2279/365)^(365·(1/365)) = 4752.97

For 30 days late:

  A = 4750(1 +0.2279/365)^(365·(30/365)) = 4839.78

The difference in these payment amounts is ...

  $4839.78 -4752.97 = $86.81

You would save $86.81 in interest charges by paying only 1 day late.

_____

Comment on the question

It would be a poor choice of credit card to use one that compounds interest daily. Most do so on a monthly basis.

Answer:

The answer to this is a, b, d, e

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

Answer:

  m∠F = 66°

  m∠D = 57°

Step-by-step explanation:

It looks like you have ...

  ∠D = ∠E = (4x +1)°

  ∠F = (5x -4)°

The sum of the angles in the triangle is 180°, so we have ...

  2(4x +1) +(5x -4) = 180

  13x -2 = 180

  x = 182/13 = 14

Then the angle measures are ...

  ∠D = ∠E = (4(14) +1)° = 57°

  ∠F = (5(14) -4)° = 66°

__

m∠F = 66°

m∠D = 57°

Answer:

330 degrees

Step-by-step explanation:

Answer: 300deg

Step-by-step explanation:

Answer:

-4/1

Step-by-step explanation: whenever you have a whole number you just put a 1 as the denominator to make it a fraction.

Answer:

[tex]\boxed{5}[/tex]

Step-by-step explanation:

[tex](p-q)(2)[/tex]

[tex]p(2)-q(2)[/tex]

[tex]\sf When \ x \ is \ 2, \ p(x) \ is \ 3 \ and \ q(x) \ is \ -2.[/tex]

[tex](3)-(-2)[/tex]

[tex]3+2=5[/tex]

Answer:

option (c)

Step-by-step explanation:

g.f= g(f(x))

= g(x2 -3)

= (x2 -3)+1

=x2 -2

The composite function g.f is option c) x² - 2.

Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.

Given: f(x) = x² - 3 and g(x)= x+1

The composite of the function;

g.f= g(f(x))

= g(x²-3)

= (x² -3)+1

= x² -2

Thus, The composite function g.f is option c) x² - 2.

Learn more about function;

https://brainly.com/question/14438192

#SPJ2

Answer:

37.3

Step-by-step explanation:

If you want to solve it.

Cylineder Formula: Volume = π(radius)²(height)

Isolate height by diving πr² on both sides.

height = (volume/πr²)

height = (300/π(1.6^2))

Answer:

h = 36.2 cm

Step-by-step explanation:

lets make it short and simple

vol of cylinder + volume of hemisphere = 300 cu.cm.

Vc + Vh = 300  --- eq.1

cylinder radius = 1.6 cm.

since it says NOT TO SCALE

let the radius of hemisphere is the same as cylinder.

vol of cylinder = πr²h

vol of hemisphere = 2/3 πr³

using eq.1

πr²h + 2/3 πr³ = 300

π (1.6²) h + 2/3 π (1.6³) = 300

h = 36.2 cm

check:

Vc + Vh = 300

π (1.6²) 36.2 +  2/3 π (1.6³) = 300

300 cu.cm = 300 cu.cm.  ----OK

Answer:

[tex]\huge\boxed{B) x = 20}[/tex]

Step-by-step explanation:

50 * 5x = 5000

Dividing both sides by 50

=> 5x = 5000/50

=> 5x = 100

Dividing both sides by 5

=> x = 20

Answer:

the answer is B

Step-by-step explanation:

X: (x)50=20

Answer:

C) Distance =5 units

Step-by-step explanation:

[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]

Using the formula for the distance between two points, it is found that the distance between points A and B is given by:

C) 5 units.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are A(1,1) and B(5,4), hence:

[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]

Hence option C is correct.

More can be learned about the distance between two points at https://brainly.com/question/18345417

#SPJ2

Answer:

A. The students tend to have fewer siblings than the teachers.

Step-by-step explanation:

First we need to draw the dot plots correctly. If you count both sides they have 20 each.

Now, clearly none have fewer nobody here yet has more or less but going on to the next step.

Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14.  And so on.

On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.

So the answer is A. The students tend to have fewer siblings than the teachers.

Answer:

The sum is A

Step-by-step explanation:

Just ma duty to help the community

Answer:

i dont see the numbers

Step-by-step explanation:

Answer:

6750

Step-by-step explanation:

The first four-digit number divisible by 4 is 1000.

The last four-digit number divisible by 4 is 9996.

Modeling this as an arithmetic sequence, the nth term is:

a = 1000 + 4(n − 1)

So the number of terms is:

9996 = 1000 + 4(n − 1)

8996 = 4(n − 1)

2249 = n − 1

n = 2250

There are 2250 four-digit numbers that are divisible by 4.  Since there are a total of 9000 four-digit numbers, that means there are 6750 four-digit numbers that are NOT divisible by 4.

Answer:

The first 5 digits help you get 14 (well a little over but still)

The first 7 digits get you 25

The first 14 = 68

The first 21 = 103

the first 31 = 150

Hope this helps!

The number of digits of π that it requires to make up the numbers 14, 25, 68, 103, and 150 would be:

The initial 5 digits would give 14

The initial 7 gives 25

The initial 14 gives 68

The initial 21 gives 103

and, the initial 31 goes 150.

Pi is described as the constant that is irrational, as well as, an ethereal constant derived from the Greek alphabet.

As per the question,

The initial 5 digits would give 14

The initial 7 gives 25

The initial 14 gives 68

The initial 21 gives 103

and, the initial 31 goes 150.

Learn more about "Digits" here:

brainly.com/question/6073713

Your function is: [tex]f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1[/tex]

Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$

Range: $[-\frac{3}{2}, -\frac{1}{2}]$

Midline: $y=-1$

Answer:

the answer is d

Step-by-step explanation:

cause its d

Answer:

i think the answer is a. 25

Answer:

c

Step-by-step explanation:

Answer:

-88

Step-by-step explanation:

whoever deleted my answer thanks a lot

Answer:

The probability that a 57-year-old was involved in an accident is 0.0656.

Step-by-step explanation:

We are given the data for the drivers involved in an accident of different age groups.

And we have to find the probability that a 57-year-old was involved in an accident.

From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.

Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).

The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.

So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).

The probability that a 57-year-old was involved in an accident is given by;

                        = [tex]\frac{1990}{30,355}[/tex]

                        = [tex]\frac{398}{6071}[/tex] = 0.0656 or 6.56%

Answer:

A =189 cm^2

Step-by-step explanation:

The area of a parallelogram is found by

A = bh where b is the base and h is the height

A = 9 * 21

A =189 cm^2

Answer:

16

Step-by-step explanation:

Answer:

15, 5, 45, 10

Step-by-step explanation:

2 minutes for 10 photos

1 minute for 5 photos

now:

2×5=10

3×5=15

25÷5=5

9×5=45

50÷5=10

Answer:

5cm

Step-by-step explanation:

50cm x 20cm x 8cm = 8000cm^3

25cm x 64cm = 1600cm^2

1600x=8000

x=5cm

Answer:

<9 =144

Step-by-step explanation:

<1 + <4 + < 6 + <9 = 360

36+ 49+ 131 + <9 = 360

216 +  < 9 = 360

< 9 = 360-216

<9 =144

Answer:

A. 144

Step-by-step explanation:

Since m<6 + m<4 = 131 + 49 = 180, then FE is a line.

Angles 1 and 9 are a linear pair, so they are supplementary.

m<9 + m<1 = 180

m<9 + 36 = 180

m<9 = 144

Answer:

C

Step-by-step explanation:

It is c because you are adding. the 6 and o.

Answer:

Would be C.

Step-by-step explanation:

Just adding the 6 and the 0 basically.

Answer:

17 in²

Step-by-step explanation:

We can break this figure into two smaller and easier figures:

The top figure (which has side lengths of 3 and 5), and the bottom figure (with sides of 1 and 2.)

Let's find the area of the top figure first. The width is 4 and the length is 5 so:

[tex]3\cdot5=15[/tex] in².

The bottom figure has a length of 2 and a width of 1. So:

[tex]2\cdot1=2[/tex] in².

Now we add these two:

[tex]15+2=17[/tex] in².

Hope this helped!

Answer:

17 square inches

Step-by-step explanation:

We cut the shape in to two bits to make it easier.

5 x 3 = 15 inches

2 x 1 = 2 inches

Now we add these together:

17 square inches.

I know I answered wrong in my first attempt but now I understand the question.

Hope this helps :D

Answer:

3 uhhh i have to write 20 letters so aha nice