Mathematics College

five friends went to a local restaurant and all had the buffet at $6.75 each. the following is the restaurant bill. does it seem reasonable 5($6.75) =&67.50

Answers

Answer 1
No I think not really to sure
Answer 2
Yes because your food had cost $6.75 each for 5 people, so if you had a bill of $67.50 and your concern about is it reasonable just budget it out.

Related Questions

A 5000 seat theater has tickets at $27 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $158,400

Answers

Let
x =  the number of tickets sold at $27 each
y =  the number of tickets sold at $40 each

Because 5000 tickets were sold, therefore
x + y = 5000              (1)

Because the revenue generated was $158,400, therefore
27x + 40y = 158400      (2)

From (1),
y = 5000 - x          (3)

Substitute (3) into (2).
27x + 40(5000 - x) = 158400
-13x + 200000 = 158400
-13x = -41600
x = 3200
y = 5000 - x = 5000 - 3200 = 1800

Answer:
3200 tickets at $27 each, and
1800 tickets at $40 each

Final answer:

This math problem can be solved by setting up a system of linear equations. Designate the number of $27 tickets as x and the number of $40 tickets as y. You then form two equations, one for the total number of tickets (x + y = 5000) and one for the total revenue (27x + 40y = 158400). Solve these equations to determine how many of each ticket should be sold.

Explanation:

The subject of this question is a problem in algebra, specifically a system of linear equations. Let's denote the number of $27 tickets as x and the number of $40 tickets as y. The total number of tickets sold will be 5000. So, we have our first equation: x + y = 5000. The total revenue is $158,400. The revenue from $27 tickets will be $27x and the revenue from $40 tickets will be $40y. So, we have our second equation: 27x + 40y = 158400. Now, we have a system of linear equations which can be solved to find the number of each ticket type that should be sold. Solve these equations to get the desired quantity of ticket type for generating the required total revenue.

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What is the equation of the line (8,-6) 8x-3y=7

Answers

plug in the x and y to the respective areas

8(8)- 3(-6) = 7
64 - (-18) = 7
82 = 7

false

this points listed above does not work

hope this helps

20 POINTS PLEASE HELP, need it tonight
A system of equations is graphed on the coordinate plane.

2y=3x−14
y=6x−2
A. No solution
B. One solution
C. Infinitely many solutions

Answers

To answer this item, we may use the concept of substitution such that we substitute y of the second equation to y of the first equation.

   2(6x - 2) = 3x - 14

Simplifying,
    12x - 4 = 3x - 14

      x = -10/9

Calculating for the value of y,
   y = 6(-10/9) - 2
    y = -26/3

The solution of the system of linear equation is then (-10/9, -26/3).

Answer:

A

Step-by-step explanation:

A wedding dress is on sale for $225.00,which is 25% off of the original price. What was the original price. how do you solve this?

Answers

Answer:

  $300

Step-by-step explanation:

Write an equation for the the sale price in terms of the original price. Then solve for the original price.

  sale price = (original price) - (percent off) × (original price)

Factoring out the (original price), we have ...

  sale price = (original price) × (1 - percent off)

We can find the original price by dividing this equation by (1 - percent off).

  (sale price)/(1 -percent off) = original price

Putting in the numbers, we get ...

  $225/(1 -25%) = original price

  $225/(1 - 25/100) = $225/(1 -0.25) = $225/0.75 = original price = $300

The local drugstore is offering 15% off the normal price for a 16-pack of AAA batteries. If a 16-pack of AAA batteries is normally $9.99, what would be the sale price for the batteries after the discount?

Answers

It would be around $8.50 you may need to round your $9.99 to $10

Answer:

D: $8.95

Step-by-step explanation:

step 1

Calculate what 15% of the normal price is.

15% as a decimal is 0.15. Multiply this by $9.99.

0.15⋅$9.99 = $1.4985

step 2

Subtract $9.99 by $1.4985 and round the difference to the nearest cent.

$9.99 − $1.4985 = $8.4915 ≈ $8.49

step 3

Match your solution to the correct answer choice.

Answer choice D is the only answer choice that matches your solution. Select answer choice D and move on to the next question.

On Thursday, a local hamburger shop sold a combined total of 258 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the numbers of hamburgers sold. How many hamburgers were sold on Thursday?

Answers

h+2h=258
3h=258
h=86
86 hamburgers were sold

Related Rates:
A camera televising the opening kickoff of a football game is positioned 5 yards from the east edge of the field and in line with the goal line. The player with the football runs down the east edge of the field (just in bounds) for a touchdown. When he is 10 yards from the goal line, the camera is turning 0.4 rad/sec. How fast is the player running.

I know that the professor wants a diagram with a formula, then you take the derivative of that and plug in your information to find the answer, however, i can not figure out the diagram.

Answers

check the picture below.

now, hmmm I notice the came angle rate is positive,.... meaning the camera angle is increasing, no decreasing, therefore is really turning away from the goal line, meaning the runner is not going towards the goal line, but moving away from it, was wondering, if the runner is going to the goal line, the 0.4 rad/sec should be negative, but anyway, is not.

keeping in mind that, "x" distance of 5 yards, is a constant, whilst "y" is not, and neither is the angle.

[tex]\bf tan(\theta )=\cfrac{y}{x}\implies tan(\theta )=\cfrac{1}{5}y\implies \stackrel{chain-rule}{sec^2(\theta )\cfrac{d\theta }{dt}}=\cfrac{1}{5}\cdot \cfrac{dy}{dt} \\\\\\ \cfrac{1}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{\frac{dy}{dt}}{5}\implies \cfrac{5}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{dy}{dt}\\\\ -------------------------------\\\\[/tex]

[tex]\bf tan(\theta )=\cfrac{10}{5}\implies tan(\theta )=2\implies \measuredangle \theta =tan^{-1}(2)\implies \measuredangle \theta \approx \stackrel{radians}{1.10715} \\\\\\ \cfrac{d\theta }{dt}=\stackrel{rad/sec}{0.4}\\\\ -------------------------------\\\\ \cfrac{5\cdot 0.4}{cos^2(1.10715)}=\cfrac{dy}{dt}[/tex]

which ends up at 10.

make sure your calculator is in Radian mode, since the angle is in radians.

Will give brainliest!
How long will it take the tool to fall to the ground?
The function for objects dropped from a height where t is the time in seconds, h is the height in feet at time t, and h0 is the initial height is h(t)=-16t^2+h0. The building I already figured to be 162 feet.
Thank You!!

Answers

check the picture below, it hits the ground when y = 0.

[tex]\bf ~~~~~~\textit{initial velocity}\\\\ \begin{array}{llll} ~~~~~~\textit{in feet}\\\\ h(t) = -16t^2+v_ot+h_o \\\\ \end{array} \quad \begin{cases} v_o=\stackrel{0}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{162}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\\\ h(t)=-16t^2+0t+162\implies 0=-16t^2+162\implies 16t^2=162 \\\\\\ t=\cfrac{162}{16}\implies t=\cfrac{81}{8}\implies t=10\frac{1}{8}[/tex]

In 10 minutes a heart can beat 700 times. At what rate can a heart beat?

Answers

Heart will beat 140 times in 2 minutes.
Heart beats at a rate of 70 beats per minute.

(How it's done down below)

In 0 minutes heart beats 700 times

hence in 1 minute it will beat 700/10=70 times

and heart will beat 140 times in 140/70=2 minutes

Answer:

Heartbeats at a rate of 70 beats per minute.

Explanation:
In 10 minutes heart beats 700 times

hence in 1 minute it will beat 700 ÷ 10=70 times

2x + 5y = −13 3x − 4y = −8

Answers

15x-20y=-40
8x+20y=-52
____________
23x=-92
x=-4
-8+5y=-13
5y=-5
y=-1
(-4,-1)

2t+8>-4(t+1)
T>___
**The sign is meant to be more than or equal to.**

Answers

2t+8>-4(t+1)
2t + 8 > -4t - 4
2t + 4t > -4 - 8
6t > -12
  t > -2

answer
  t > -2

Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, two white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She does not have all the red ones.

Answers

Total number of marbles = four red + four green + two white + two purple = 12

Number of marbles taken by her = 8

We have to find the probability that she does not get red.
Instead we find the probability of getting red and then we can take the complement of (getting red)

Now probability of getting red is given as:

No. Of favourable outcomes = Choose 8 out of 11= 8 C 11= (11!)/(8! * 3!)
= 165

Now to choose red balls, she will choose 4 red balls from 4 red balls and other 4 from remaining 8.
4 C 4 * 4C 8 = 70

Probability ( getting red) = 70/165

Therefore, probability (not getting red) = 1- (70/165) = 95/165 = 19/33

please help solve this equation

Answers

u see that 75 degree angle...that angle and the one next to it...the angle in ur triangle...they make a linear pair and are = to 180.....so the angle in ur triangle that has no number by it, is gonna be 180 - 75 = 105.

and the interior angles of a triangle = 180
< x + 105 + 32 = 180
< x + 137 = 180
< x = 180 - 137
< x = 43 <==
the answer is 43
180-75=105
105+32=137
180-137=43
x=43

Martha, Lee, Nancy, Paul, and Armando have all been invited to a dinner party. They arrive randomly and each person arrives at a different time In how many ways can they arrive?

Answers

To solve this problem you have to use permutations. Permutations are where you have a group of things and you want to see how many different combinations you can make, but for these combinations the ordering matters. This would be 5P5 and the answer is they can arrive in 120 different ways.

I need help answering this question.

Answers

Her credits need to be AT LEAST EQUAL TO OR GREATER THAN 144 (credit hours) so we can eliminate choices B and D.

She already completed 4 semesters in which she receives 15 credit per semester.

This expression can be written as 4(15).

She needs to do a certain remaining hours of credit which can be represented by c and only c without any other coefficient.

So, the most reasonable choice here is A.
the answer is D 4(15)+c < 144

12 ch 5 warm up: people's weights (java) (1) prompt the user to enter five numbers, being five people's weights. store the numbers in an array of doubles. output the array's numbers on one line, each number followed by one space. (2 pts) ex: enter weight 1: 236.0 enter weight 2: 89.5 enter weight 3: 142.0 enter weight 4:

Answers

Final answer:

The code provided guides the user through entering five weights using a Scanner object, stores them in a double array, and then prints them all on one line separated by spaces.

Explanation:

To address the question of prompting the user to enter five people's weights and storing them in an array of doubles in Java, we need to provide a short piece of code executing this task.

The code will look something like this:

import java.util.Scanner;
class Main {
 public static void main(String[] args) {
   Scanner scanner = new Scanner(System.in);
   double[] weights = new double[5];

   for(int i = 0; i < weights.length; i++) {
     System.out.println("Enter weight " + (i+1) + ": ");
     weights[i] = scanner.nextDouble();
   }

   System.out.println("The entered weights are:");
   for(double weight : weights) {
     System.out.print(weight + " ");
   }
 }
}

This code initializes a Scanner to take user input, creates an array of doubles to store the weights, and uses a for loop to iterate over the array, prompting the user to enter a weight for each element. It then prints out each weight followed by a space.

Roberto Anaya and his wife plan to rent a condominium for $725 per month. They pay a $125 monthly fee for all of the maintenance work. Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000. What are their average monthly expenses to the nearest cent?

Answers

the answer is $1,149.75

Answer:

The average monthly expenses is $ 1,149.75

Step-by-step explanation:

Given,

The monthly rent of the condominium = $ 725,

Also, monthly fee for maintenance work = $ 125,

And, Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000,

⇒ The total annual expenses in insurance, lost interest and utility bill = $ 468 + $ 129 + $ 3,000

= $ 3597,

⇒ The monthly expenses in insurance, lost interest and utility bills = [tex]\frac{3597}{12}[/tex]

= $ 299.75,

Hence, the average monthly expenses = monthly rent of the condominium + monthly fee for maintenance work + monthly expenses in insurance, lost interest and utility bills

= $ 725 + $ 125 + $ 299.75

= $ 1,149.75

Jamar is factoring 90x-15. Find his mistake and correct it

Answers

Answer: 15(6x - 1)

Step-by-step explanation: Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.

What he got wrong was failing to do same to the value 15 exactly what he did to 90x.

To put it right, here is how to go about it:

90x - 15

Factor of both 90 and 15 is 15

Therefore:

15 (6x - 1)

This is correct. You can as well expand the result to check.

The correct factorization will be:  15(6x - 1)

Given,

90x-15

Here,

Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.

What he got wrong was failing to do same to the value 15 exactly what he did to 90x.

To make it correct:

90x - 15

Factor of both 90 and 15 is 15

Therefore:

15 (6x - 1)

Hence the correct factorization is achieved .

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What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)?

a; y + 3 = −4(x + 4)
b; y + 3 = –1/4(x + 4)
c; y + 3 = 1/4(x + 4)
d; y + 3 = 4(x + 4)

Answers

What is the given line?

y varies jointly as x and z. y equals 80y=80 when x equals 5x=5 and z equals 4z=4. Find y when x equals 4x=4 and z equals 6z=6.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{\underline{y} varies jointly as \underline{x} and \underline{z}}\implies y=kxz \\\\\\ \textit{we also know that } \begin{cases} y=80\\ x=5\\ z=4 \end{cases}\implies 80=k(5)(4)\implies 80=20k \\\\\\ \cfrac{80}{20}=k\implies 4=k\qquad thus\qquad \boxed{y=4xz}\\\\ -------------------------------\\\\ if~\begin{cases} x=4\\ z=6 \end{cases}~\textit{what is \underline{y}?}\qquad y=4(4)(6)[/tex]

Find the difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08,
11.5, and 16.712.

A. 4.489
B. 6.511
C. 47.2208
D. 58.3108

Answers

The product of 26.22 and 3.09 is:
26.22 * 3.09 = 81.0198

The sum of 3.507, 2.08, 11.5, and 16.712 is:
3.507+ 2.08 +11.5+ 16.712 = 33.799

The difference between the product and the sum is:
81.0198 - 33.799 = 47.2208
C. 47.2208!!!!!!!!!!!!!!!!!!!!!!!

8-(x+3)=11 solve for x

Answers

If you're subtracting to add, you must subtract a negative number to be able to solve for x. So 8-(-6+3)=11. x= -6.
first multiply -1 by everything in the parenthesis, so it would be
8 - x - 3 = 11
combine like terms (8 and -3)
5 - x = 11
subtract 5 from both sides
-x = 11-5
-x = 6
divide both sides by -1 and you get 
x = -6




Find the slope of the line that passes through (8, 10) and (1, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Final answer:

The slope of the line that passes through (8, 10) and (1, 1) is 9/7.

Explanation:

To find the slope of a line that passes through two given points, (x1, y1) and (x2, y2), we use the formula:



m = (y2 - y1) / (x2 - x1)



Using the given points (8, 10) and (1, 1), we substitute the coordinates into the formula:



m = (1 - 10) / (1 - 8) = -9 / -7 = 9/7



Therefore, the slope of the line that passes through (8, 10) and (1, 1) is 9/7.

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The slope of the line that passes through the points (8, 10) and (1, 1) is calculated using the slope formula and it comes out to be 9/7, which is an improper fraction.

To find the slope of a line passing through two points, you use the slope formula:

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

For the points (8, 10) and (1, 1), we calculate the slope as follows:

m = (1 - 10) / (1 - 8)

m = (-9) / (-7)

m = 9/7

Therefore, the slope of the line that passes through (8, 10) and (1, 1) is 9/7, which is an improper fraction.

x(7x-3)(x^2+81)=0x (7x-3)(x2+81)=0

Answers

leave it that is the answer

What is 413,125 rounded to the nearest ten thousand?

Answers

The digit '1', the first copy of '1', is in the ten thousands place. To the right of this digit is 3. Since 3 is not 5 or larger, we simply change everything after the '1' to zeros

So we go from 413,125 to 410,000

The final answer is 410,000
The answer would be 410,000

a football game had 20 and 2/3 minutes of commercials in the first 1 1/4 hours it was on at that rate how many minutes of commercials will be shown in three and a half hours

Answers

About 57.85 minutes worth of commercials will be shown. 

(3.6)^x=45 solve the exponential equation?

Answers

Hello there!

(3.6)^x = 45

We wanna start by taking log of both sides.

log(3.6)^x = log(45)

x * (log(3.6))= log (45)

x = log(45)/log(3.6)

x = 2.971787

Thus, the correct answer is x = 2.97



I hope this helps!

How much time does it take light to travel from the moon to the earth, a distance of 384000?

Answers

V = speed of light = 3 x 108 m/s

d = distance = 384000 x 103 m = 3.84 x 108 m

time taken = t = d/V = 3.84 x 108 /(3 x 108 ) = 1.28 sec

Solve: The quantity 2 x minus 10 divided by 4 = 3x

Answers

the answer is x= 0
2x-10/4=3x 
2x-10/4x=3x
2x-5/2x=3x
-x/2=3x
-x=6x
-x-6x=0
-7x=0
x=0

Write two ways to group and add 4+2+5.

Answers

Answer:

We can use the associative property of addition to group the numbers for addition.

Step-by-step explanation:

We are given the following information in the question:

We have to add [tex]4 + 2 + 5[/tex] in two different ways.

Associative property of addition

The associative property states that you can add regardless of how the numbers are grouped. By grouped we mean how we use parenthesis.[tex](a+b)+c = a+(b+c)[/tex]

Working:

[tex]4 + 2 + 5[/tex]

[tex](4+2)+5 = 4+(2+5)\\6 + 5 = 4 + 7\\13 =13[/tex]

Final answer:

The associative property allows for different groupings of numbers when adding without affecting the sum, such as (4 + 2) + 5 and 4 + (2 + 5), both resulting in 11.

Explanation:

In mathematics, especially when dealing with arithmetic operations like addition, we have the flexibility to group numbers in different ways due to the associative property of addition. This property tells us that the way in which numbers are grouped does not affect the sum. Here's how you can group and add the numbers 4, 2, and 5 in two different ways:

Way #1: Group (4 + 2) + 5 = 6 + 5 = 11Way #2: Group 4 + (2 + 5) = 4 + 7 = 11

Both methods give us the same result, which is 11, demonstrating the associative property in action.

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