Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 2 of the 8-ounce platters, and 2 of the 11-ounce platters.

Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95

If a gratuity of 18% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?
A.
$114
B.
$137
C.
$18
D.
$115

Answer:

The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.

Step-by-step explanation:

A composite number is an integer that is not a prime number, that is, a number that can be divided only by one and itself. Let be [tex]n[/tex] the smallest composite number such that there are two positive integers [tex]x[/tex], [tex]y[/tex] such that [tex]x - y = 10[/tex] and [tex]x\cdot y = n[/tex]. [tex]n[/tex] is a positive integer, since both integers are positive. Then, we can use the following formula:

[tex](y+10)\cdot y = n[/tex]

[tex]y^{2}+10\cdot y = n[/tex]

[tex]y^{2}+10\cdot y - n = 0[/tex] (1)

We obtain the roots of this second order polynomial by means of the Quadratic Formula:

[tex]y = \frac{-10\pm \sqrt{10^{2}-4\cdot (1)\cdot (-n)}}{2}[/tex]

[tex]y = -5\pm \sqrt{25+n}[/tex] (2)

Given that [tex]y > 0[/tex], we must observe the following inequation:

[tex]-5\pm \sqrt{25+n}>0[/tex] (3)

[tex]\sqrt{25+n} > 5[/tex]

[tex]25 + n > 25[/tex]

[tex]n > 0[/tex]

Let is find the values of x and y by iterative means:

x = 11, y = 1

[tex](11)\cdot (1) = 11[/tex]

11 is not a composite number, but a prime number.

x = 12, y = 2

[tex](12)\cdot (2) = 24[/tex]

24 is a composite number, which contains the following product of prime numbers:

[tex]2^{3}\cdot 3 = 24[/tex]

The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.

Answer: d. the census bureau got the result 57,005 plus or minus 742 using a method that will capture the true median income 90% of the time when used repeatedly.

Step-by-step explanation:

No t-value has been included in this interval so it cannot be correctly labeled a confidence interval.

This invalidates options a to c.

Option d is therefore the correct answer because it states that the census bureau simply got those results above without claiming that the results constituted a confidence interval.

Answer:

the answer is .04634994206

Answer:

x = 10

Step-by-step explanation:

RST is an isosceles triangle.

[tex]m\angle T = m \angle R\\\\

8x\degree = (3x + 50)\degree \\\\

8x = 3x + 50\\\\

8x - 3x = 50\\\|

5x = 50\\\\

x = \frac{50}{5} \\ \\ x = 10[/tex]

Answer:

105 minutes= 1 hour and 45 minutes

Answer:

1 hour and 45 minutes

or

1.75 hours

The opposite of 4 is -4 :/

Answer:

-4

Step-by-step explanation:

correct have a nice day

Answer:

A. 29

Step-by-step explanation:

Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.

~theLocoCoco

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

The system of equations required to determine the amount of drink A and B made are :

Learn more : https://brainly.com/question/20379472?referrer=searchResults

Answer:

Yes, they are all correct.

Answer:

here's the answers...,........

Answer:

SAA

Step-by-step explanation:

SAA is correct

Answer:

A. 18÷2/9

Step-by-step explanation:

A. 18÷2/9

B. 18×2/9

C. 2/9÷18

D. 9/2÷18

Let

Total length of box = 18 inches

Thickness of each book = 2/9 inches

Number of books that will fit into the box = x

Number of books that will fit into the box = Total length of box ÷ Thickness of each book

x = 18 ÷ 2/9

= 18 × 9/2

= 162/2

= 81 books

The correct answer is A. 18÷2/9

Answer:

no cycling for thatc long would cause you to be tired and will slow you down my personal opinon it would be 7 hours

Answer:

Hahaha hahaha hahaha hahaha

Answer:

Step-by-step explanation:

4.1-1.25=2.85

lets divide

2.85/0.005=570

Answer:

2.85/0.005=570

Step-by-step explanation:

Hope this helped have an amazing day!

Given:

[tex]f(1)=3,f(n)=2\times f(n-1)[/tex]         ...(i)

For [tex]n\geq 2[/tex].

To find:

The nth term for the given recursive formula.

Solution:

The given recursive formula is of the form of

[tex]f(n)=r\times f(n-1)[/tex]            ...(ii)

It is the recursive formula of a GP, where r is common ratio.

On comparing (i) and (ii), we get

[tex]r=2[/tex]

Now,

First term: [tex]a=f(1)=3[/tex]

Common difference: [tex]r=2[/tex]

nth term of a GP is

[tex]f(n)=ar^{n-1}[/tex]

Putting a=3 and r=2, we get

[tex]f(n)=3(2)^{n-1}[/tex]

Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].

Answer:

(2) f(-2) = 3

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

Answer:

8.2

Step-by-step explanation:

509.056/62.08

Answer:

490 students are remote learners

Step-by-step explanation:

Answer:

490

Step-by-step explanation:

hope this helps

have a nice day!

:)

Answer:

y=-3/2x+11

Step-by-step explanation:

M a t h w a y

Answer:

I wish you the best dont let people brign you down sending love

Step-by-step explanation:

Answer:

10 divided by two fifths = 25

Answer:

2.71

Step-by-step explanation:

Its as simple as plugging in the values of y and z.

THis would give you

      -1.46 + (-3.82) + 7.99

This plus^ you can think about having a 1 in front of it like

-1.46 + 1 (-3.82) +7.99

Multiple positive 1 with -3.82 1 times any value is that number, and positive times negative is negative. then looking like this:

-1.46 - 3.82 + 7.99 plug into a calculator and you get +2.71

Answer:

2.71

Step-by-step explanation:

We'll add the first value and the value in parentheses, being -3.82, then we'll add y, which is a negative because "-y", being -1.46. That becomes -5.28.

We'll then take our -5.28 and add 7.99, which will become 2.71.

Therefore, 2.71 is your answer.

Answer:

c = 45h + 30

Step-by-step explanation

Hi! You know that you are trying to find the value of c, so you are going to set that as what would be your y value.

Now you know that you have to pay $30 as a fee no matter what, so you need to make sure that there is $30 attached to the equation without it being multiplied by anything.

Next, you know that it is $45 per hour, so you are going to multiply 45*h, where h is the number of hours the electrician works.

Hope this helps!

Answer:

New depth: 11.8 feet

Step-by-step explanation:

0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds

13 - 1.2 = 11.8

Hope this helps!

xoxo,

cafeology

Answer:

43.5 ft below the surface

Step-by-step explanation:

0.5*5= 2.5

-46+2.5= -43.5

Answer:$225 at 10% for 4 years and $80 at 75% for 18 months

Step-by-step explanation:

The required interest earned is given as $90, as of the given condition.

Given that,
Principal = $600
Rate = 2.5% and time = 6 years

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Simple interest = principal × rate × time /100
Simple interest = 600× 2.5× 6 /100
Simple interest = 90

Thus, the required interest earned is given as $90, as of the given condition.

Learn more about simple interests here:

https://brainly.com/question/26457073

#SPJ5

The answer is 45 (explained down at the image).

Answer:

45

Step-by-step explanation:

What you wanna do is just simplify the equation as much as possible:

First, the inner parenthesis:

2(10-5)=20-10=10

5(6-5)=30-25=5

And then we have:

3(10+5)=

Just simplify! :)

30+15=45

45