Michael bought 160 hot dogs for an eating competition. He spent $240 in all. How much did each hot dog cost?

Answers

Answer 1

Answer:

$1.5

Step-by-step explanation:

[tex]160\:hot\:dogs = \$240\\1 \: hot \:dog = \$x\\\\160x = 240\\\\\frac{160x}{160} = \frac{240}{160} \\\\x = \$1.5[/tex]

Answer 2
$1.5 you just divide

Related Questions

find simple interest on #1200 for 3 years at 4.25% per anum​

Answers

Answer:

$153.00

Step-by-step explanation:

A = $1,353.00

(I = A - P = $153.00)

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year.

Solving our equation:

A = 1200(1 + (0.0425 × 3)) = 1353

A = $1,353.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,200.00 at a rate of 4.25% per year for 3 years is $1,353.00.

Answer:

$153

Step-by-step explanation:

Simple Intrest = P ( money invested ) * R ( percentage ) * T ( year )

I = P * R * T / 100

I = 1200 * 4.25 * 3 = 15300 / 100 = $153

This is the easiest method for me and I hope it helps :)

range of 2.45 3.50 2.89 2.99

Answers

Answer:

[tex]\huge\boxed{\mathrm{Range = 1.05}}[/tex]

Step-by-step explanation:

Given Data:

2.45 , 3.50 , 2.89 , 2.99

Arrange it in ascending order.

2.45 , 2.89 , 2.99 , 3.50

Range = Highest No - Lowest No.

Range = 3.50 - 2.45

Range = 1.05

Answer:

Range=largest value-smallest value

Range=2.99-2.45

Range=0.54

Step-by-step explanation:

hope it is helpful for you

if it is please follow


Problem 1: Solve the systems of equations by the method of your choice.
2x+y=5
x-y=1

Problem 2: The difference of two complementary angles is 30 degrees. Set up a system of linear equations that would find the angles. Do not solve the system.

Problem 3: A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460. Set up a system of linear equations that would find how many of each type of bills the cashier has. Do not solve the system.

Problem 4: Give an example of a system of linear equations that has no solutions. Explain how can you decide the number of solutions without solving the system.

Answers

Answer:

x=2 and y=1

Step-by-step explanation:

2x+y=5

x-y=1

buy adding both equations we get

3x=6

x=2  ( divide 3 on both sides)

put x=2 in any equation  

2-y=1

y=2-1

y =1

p2

Problem#2

Let say two complementary angles are A & B

difference of two complementary angles is 30°

=> A - B = 30

Sum of  two complementary angles is 90°

=> A + B = 90

Hence A = 60° , B = 30°

Problem#3

Total bill  = 30

$ 10 Bills = A

$ 20 Bills  = B

10 * A  + 20* B = 460

A + B = 30

A = 14 , B = 16

Problem#4

4x+2=y

2y−8x=10

The first step is to simplify the second equation into  

y=mx+b form.

2y−8x=10y  

y−4x=5

y=4x+5

Now, the two equations are:

y=4x+2

y=4x+5

What is the domain in interval notation?

Answers

Answer:

The answers are all real numbers where x<2 or x>2. We can use a symbol known as the union, ∪,to combine the two sets. In interval notation, we write the solution:(−∞,2)∪(2,∞). In interval form, the domain of f is (−∞,2)∪(2,∞).

Find the slope of the line containing the pair of points. (5,-7) and (-4,-4)

Answers

Answer:

1/-3

Step-by-step explanation:

what is -1/3 + (-5/6) step by step

Answers

Answer:

[tex]-\frac{7}{6}[/tex]

Step-by-step explanation:

Change -1/3 to match denominators with -5/6: 3 × 2 = 6, -1 × 2 = -2Re-write the expression: -2/6 + (-5/6)Simplify: -2/6 - 5/6[tex]-\frac{2}{6} - \frac{5}{6} = -\frac{7}{6}[/tex]  

I hope this helps!

Answer:

-7/6

Step-by-step explanation:

-1/3=-2/6

-2/6-5/6=-7/6

If i am in texas then I am in the south

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Of the United States, true, you are in the south.

Texas is a southern state of the USA.

Of the world, false, you are more north than south, and also you are around the middle north of the world.

The pictures I attached are maps of the USA and the world.

As you can see in the USA map, Texas is one of the states are are the lowest.

But if you look at the world map, Texas is not very south.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 704 ft high, then its height h above the ground t seconds later will be h = 704 + 16t − 16t2. During what time interval (in seconds) will the ball be at least 32 ft above the ground? (Enter your answer using interval notation.)

Answers

Answer:

  [0, 7]

Step-by-step explanation:

We want the height to be greater than or equal to 32 ft, so ...

  704 +16t -16t^2 ≥ 32

  t^2 -t -42 ≤ 0 . . . . . . . . . . . subtract 32, divide by -16

  (t -7)(t +6) ≤ 0

This inequality will be true for values of t between -6 and +7. Since we're only concerned with times t ≥ 0, the appropriate solution interval is ...

  0 ≤ t ≤ 7 . . . . [0, 7] in interval notation

the sum of m and 188 is 232

write the sentence as an equation ​

Answers

Answer:

m + 188 = 232

Step-by-step explanation:

sum → +

m + 188 = 232

Answer:

m + 188 = 232

Thats is an equation for your problem

The expression 3A + 2.5S gives the cost in dollars of A adult tickets and S student tickets. What is the cost of 2 adult tickets and 4 student ​

Answers

Answer:

16

Step-by-step explanation:

A = 2; S = 4

3A + 2.5S =

= 3(2) + 2.5(4)

= 6 + 10

= 16

If you borrow $450.00 at a 5% interest, how much will you pay in one month?

Answers

Answer: Between about 31 and 33 dollars per month

Step-by-step explanation:

Solve the following proportion for
5/11=y/6
Round your answer to the nearest tenth

Answers

Answer:

Step-by-step explanation:

5        y

_   =   _

11       6

Cross multiply to get:

11y = 30

y = 2.7272

y = 2.7

Find z such that the proportion of observations that are less than z in a standard normal distribution is 0.23. (Enter your answer rounded to two decimal places.)Z=______

Answers

Answer:

-0.74

Step-by-step explanation:

The computation of Z is shown below:

According to the question, data provided in the question is as follows

P(Z >  Z) = 0.23

Based on the above information, the calculation for Z is

Use the table of the standard normal distribution for z

By using this the Z value comes is -0.74

hence, in case of the standard normal distribution, the value of z is -0.74 and the same is to be considered

what are the domain and range of the function f(x)=5x-3+1?​

Answers

Answer:

Domain : (-∞,∞)

Range : (1 , ∞)



Given f(x) = 52x, evaluate f-1), f(o), and K2).

01/25, 1, 625

Answers

Answer:

[tex]f(-1) = \frac{5}{2}[/tex]

[tex]f(0) = 5[/tex]

[tex]f(2) = 20[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5(2^x)[/tex]

Required

Determine f(-1); f(0) and f(2)

Solving f(-1)

In this case, we simply take x as;

[tex]x = -1[/tex]

Substitute -1 for x in [tex]f(x) = 5(2^x)[/tex]

[tex]f(-1) = 5(2^{-1})[/tex]

Apply law of indices

[tex]f(-1) = 5 * \frac{1}{2}[/tex]

[tex]f(-1) = \frac{5}{2}[/tex]

Solving f(0)

In this case, we simply take x as;

[tex]x = 0[/tex]

Substitute 0 for x in [tex]f(x) = 5(2^x)[/tex]

[tex]f(0) = 5(2^0)[/tex]

[tex]f(0) = 5(1)[/tex]

[tex]f(0) = 5[/tex]

Solving f(2)

In this case, we simply take x as;

[tex]x = 2[/tex]

Substitute 2 for x in [tex]f(x) = 5(2^x)[/tex]

[tex]f(2) = 5(2^2)[/tex]

[tex]f(2) = 5(4)[/tex]

[tex]f(2) = 20[/tex]

Write 0.0000002711 in scientific notation. (Use 2 numbers after the decimal point.)

Answers

Answer:

[tex]Number = 2.71 * 10^{-7}[/tex]

Step-by-step explanation:

Given

[tex]Number = 0.0000002711[/tex]

Required

Write, using scientific notation

The scientific notation is written in the form:

[tex]Form = a * 10^n[/tex]  Where n is an integer and [tex]1 \leq a \leq 10[/tex]

To start with; Represent the given number as fraction

[tex]Number = \frac{2711}{10000000000}[/tex]

Represent the denominator as an exponent

[tex]Number = \frac{2711}{10^{10}}[/tex]

This can be rewritten in form of:

[tex]Number = 2711 * 10^{-10}[/tex]

Remember that: [tex]Form = a * 10^n[/tex]  Where n is an integer and [tex]1 \leq a \leq 10[/tex]

This implies that; we need to adjust 2711 to a number between 1 and 10;

This gives:

[tex]Number = 2.711 * 1000 * 10^{-10}[/tex]

Write 1000 as an exponent

[tex]Number = 2.711 * 10^3 * 10^{-10}[/tex]

Apply law of indices

[tex]Number = 2.711 * 10^{3-10}[/tex]

[tex]Number = 2.711 * 10^{-7}[/tex]

The question requires 2 numbers after the decimal point;

So, 2.711 will be approximated to 2.71

[tex]Number = 2.71 * 10^{-7}[/tex]

Hence;

[tex]0.0000002711[/tex]  is equivalent to [tex]2.71 * 10^{-7}[/tex]

30 POINTS Type the correct answer in the box. Use numerals instead of words.

Answers

Answer:

15 rubber bands per day

Step-by-step explanation:

You bought a magazine for $2 and three candy bars. You spent a total of $11. How much did each candy bar cost?

Answers

Answer:

$3 each

Step-by-step explanation:

Minus the $2 from $11 gives you $9. So $9÷3=$3 per candy bar.


Use the slider to rotate AABC about point P through different angles of rotation (a). As you move the slider, you'll see the image, AA'B'C'.
move on the screen. At what angles of rotation does AA'B'C' coincide with each of the other triangle images?

Answers

Answer:

Step-by-step explanation:

Answer:

The angles of rotation coincide as follows:

DEF  is  45°

GHI is  115°

JKL  is  210°

Step-by-step explanation:

Bepotastine besilate (BEPREVE) ophthalmic solution contains 1.5% w/v of the therapeutic agent. Express this concentration in mg/mL.

Answers

Answer:

15mg/ml

Step-by-step explanation:

Percent mass per volume ( % m/v) is unit expression that tells us how many grams of a solute that we can find 100 ml of a particular solution.

In the above question, we are asked to express 1.5%w/v Bepotastine besilate (BEPREVE) ophthalmic solution as mg/mL

Step 1

1.5% w/v = 1.5 g of Bepotastine besilate (BEPREVE) in 100ml ophthalmic solution

Hence, if

100ml = 1.5g

1 ml = y g

We Cross Multiply

100ml × yg = 1 ml × 1.5g

yg = 1 ml × 1.5g/100ml

= 0.015g

Therefore, in 1 ml we have 0.15 g.

Step 2

Since we are asked to express as mg/ml

We convert 0.015g to mg

1 gram = 1000 milligrams

0.015 grams =

Cross Multiply

0.015grams × 1000 milligrams/ 1 gram

= 15 mg

Therefore, the concentration in mg/ml of 15% m/v of Bepotastine besilate (BEPREVE) ophthalmic solution is 15mg/ml

Factor this trinomial 4x^2-6x-10 If you can please try to show me how to do it.

Answers

Answer:

[tex]=2(2x-5)(x+1)[/tex]

Step-by-step explanation:

So we have the trinomial:

[tex]4x^2-6x-10[/tex]

First, factor out a 2:

[tex]=2(2x^2-3x-5)[/tex]

Now, factor within the parentheses.

To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b

(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.

-5 and 2 works. Therefore:

[tex]=2(2x^2-3x-5)[/tex]

Replace -3x with 2x and -5x:

[tex]=2(2x^2+2x-5x-5)[/tex]

Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:

[tex]=2(2x(x+1)-5(x+1))[/tex]

Grouping:

[tex]=2(2x-5)(x+1)[/tex]

And we're done!

The expanded form for 300684 can be written with only 4 add ends. Explain how this is possible for a number with 6 digits

Answers

Answer:

This can be because our number, 300,684, has only four digits different than zero.

Then we can write this number as:

300,684 = 300,000 + 600 + 80 + 4.

So we add only 4 terms.

So when we write a number in this form, we will have the same numbers of terms in the addition that the number of digits different than zero in our original number.

Find the 10th term of the geometric sequence a9=-5 r=-1/2

Answers

Answer:

2.5

Step-by-step explanation:

multiply -5 by -1/2

If 20% of X =y, then y% of 20 is the same as:​

Answers

Answer:

4% of x

Step-by-step explanation:

20% of x

20% of x = 0.2x20% of x = y ⇒ 0.2x = y

y% of 20

y% of 20 = 20*y/100 = 0.2y0.2y = 0.2*0.2x = 0.04xy% of 20 = 4% of x

Hope it is what you are looking for

If a =5, 0, −1,find a vector b such that compab = 2.b = _______.

Answers

Answer:

[tex]b  =  (q,r , 5q-2\sqrt{26} )[/tex]

Step-by-step explanation:

From the question we are told that

The vector given is  

               [tex]a = (5,0,-1)[/tex]

  Also  [tex]comp_a b =  2[/tex]

Generally

       [tex]comp_a b  =  \frac{a \cdot b}{|a|}[/tex]

Here  [tex]|a|[/tex] is the magnitude of  a which is mathematically represented as

      [tex]|a| =  \sqrt{5^2  + 0^2  +(-1)^2 }[/tex]

=>     [tex]|a| =  \sqrt{26}[/tex]

b is vector which we will assume to have the following parameters

     [tex]b  =  (q , r , x)[/tex]

So

        [tex]comp_a b =  \frac{(5,0,-1) \cdot (q,r,x)}{\sqrt{26} } =  2[/tex]

=>     [tex]\frac{5q + 0 -x}{\sqrt{26} } = 2[/tex]

=>     [tex]x =  5q-2\sqrt{26}[/tex]

Hence the vector be can be mathematically represented as

      [tex]b  =  (q,r , 5q-2\sqrt{26} )[/tex]

This means that the vector b is more than one value  since it is made up of variable

This means that if

   [tex]q = 1\\r=1\\x =1[/tex]

Then

    [tex]b  =  (1,1,5-2\sqrt{26} )[/tex]

         

A quantity has magnitude but not position, that's why in this the vector [tex]b =(0,0, -2\sqrt{26}).[/tex]

Vector:

If[tex]a =(5,0,-1)[/tex] Our goal is to determine a vector b that will allow comp to work properly [tex]_{a}b = 2.[/tex]

Allow the vector to flow naturally  [tex]b =(x, y,z)[/tex]

Recalling

comp[tex]_{a}b =\frac{a.b}{|a|}[/tex]

Therefore,

comp [tex]_{a}b= 2 \\\\[/tex]

[tex]\to \frac{a.b}{|a|}= 2\\\\[/tex]

[tex]\to \frac{(5,0,-1)\cdot (x,y,z)}{ |(5,0,-1)|} =2\\\\\to \frac{5x+0-z}{5^2+0+(-1)^2}=2\\\\ \to \frac{5x-z}{\sqrt{26}}= 2 \\\\\to 5x-z = 2\sqrt{26}\\\\ \to z=5x-2\sqrt{26}\\\\[/tex]

As a result, the vector b can be expressed as,

[tex]\to b =(x,y,z) =(x, y, 5x-2\sqrt{26}) \\\\[/tex]

As a result, this aforementioned form can be found in an endless number of vectors.

One of them is [tex]b =(0,0, -2\sqrt{26}).[/tex]

Find out more about the vector here:

brainly.com/question/13322477

PLEASE HELP ASAP! Far away on the horizon, we saw the tiny figures of a lonely traveler and his mule ______ into the sunset. A. Receed B. Famished

Answers

Answer:

Recede

Step-by-step explanation:

Famished means extremely hungry

Recede means go or move back or further away from a previous position

Answer:

Recede

Step-by-step explanation:

So let's look at the meanings of these two words.

Recede: To go or move back backward; become more distant.

Famished: Severely suffering from hunger.

So now you can see that recede is the word that makes more sense in the blank.

Far away on the horizon, we saw the tiny figures of a lonely traveler and his mule Recede into the sunset.

Hope this Helps!

Josh has 212 marbles. Peck has 314 marbles. Round each number to the nearest hundred. Then, type how much marbles more does Peck have.

Answers

Round each number to the nearest hundred.

 212 = 200.

 314 = 300.

How much more marbles does Peck have?

 314 - 212 = 102.

That is your answer. Hope this helps!

Answer:

100 more marbles

Step-by-step explanation:

So first let's round the numbers to the nearest hundred. So 212 rounds to 200, and 314 rounds to 300. Then we do 300-200 and get 100. SO the answer is 100.

How is mulhplying intergers
Similar to multiplying whole
numbers?

Answers

Answer: Multiplying integers is very similar to multiplying whole numbers. A positive number times a negative number equals a negative number. A negative number times a negative number equals a positive number. A negative number times a positive number equals a negative number.

Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3

Answers

Answer: -3/2

Step-by-step explanation:

To find its distance away from 0, then just find its opposite.

On the number line if you graph 3/2,  its opposite will be -3/2

Write the following number in standard form.
one hundred four billion, twenty-seven thousand, five hundred seventy-one
140,027,000,571
140,270,571,000
104,000,027,571
104,000,270,571

Answers

Answer:

The third one, 104,000,027,571

Step-by-step explanation:

The first and second ones are not the answers because the problem does not say one hundred forty billion.

The last one is not the answer because the problem doesn't say two hundred seventy thousand.

Thus leaving the third one, which fits the description of the number.

Other Questions
Aiden had saved $22 before he earned $25 mowing a lawn . He then spent $32 on a suitcase . How much money does he have now? Explain how you found your answer Head Start is one of the longest-running programs to address systemic poverty in the United States. Head Start includes all of thefollowing EXCEPT which one?Family and Community PartnershipsEarly Head StartBirth Right ProgramMigrant and Sersonal Head Start l ve a la duquesa. La conoce. l lo ve. l la ve. l quiere cantarla. 8 x 105 is how many times as great as 8 x 10-1? A. 10-4B.10- -6C. 10-6D. 10 - -4 .-4(8 -c) - (3c + 7) Read, look at the image, and choose the correct option. (1 point) A school uniform< -- picture La sandalia El vestido El uniforme La blusa Fatima is a manager in charge of personnel. Today she will have to write up an employee for excessive tardiness. She knows the employee might feel embarrassed and get upset when she tells them the bad news, so she decides to wait until the end of the day and bring them in her office away from the group to have the conversation. Which of these is Fatima displaying in this situation?a. social intelligenceb. charismac. impression managementd. transformation 3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle B F D. Which angle is a vertical angle with AngleEFD? AngleDFB AngleCED AngleBFC AngleAFB Plzzz help ASAP THANKS!!! Which factor most contributed to the change in Georgia's economy when it transitioned From a trustee colony to a royal colony?1)slave labor2) rules made by the trustees 3)restrictions on land4)development of railroads I need help with this question A student dropped a textbook from the top floor of his dorm and it fell according to the formula s(t) = -16t2 + 8 underroot t, where t is the time in seconds and s(t) is the distance in feet from the top of the building. A) Write a formula for the average velocity of the ball for t near 4. B) Find the average velocity for the time interval beginning when t = 4 with duration 1 seconds, 0.5 seconds, and 0.05 seconds. C) What is your estimate for the instantaneous velocity of the ball at t = 4. What are futuristic qualities? How many significant figures are in the measurement 1.050 L?a.1b.2c.3d.4 True or false? The Felony Murder rules states if you kill someone, even without intent, while in the commission of a felony, you could be executed. How will working on practice questions help you in this course?A) It will give you answers to hard exam questions.B) will let you know whether you are able to pass.C) It will prepare you for your graded assessments.D) It will help distract you while you are studying. Organelles such as mitochondria and chloroplasts are hypothesized to have originated by _______, by which larger cells engulfed smaller cells. 20 items per hour x 24 hours per day x 30 days per hour by which when 625 is divided , will make the quotient a perfect cube when the whole p is divided by 18 ,24or30 the remainder is 3. Find the least value of p 3. the product of 33 and jwrite an algebraic expression