A vendor sold 72 hotdogs and hamburgers during a football game if the ratio of hotdogs to hamburgers sold was 8:1 how many of each food did vendor sell?

Answers

Answer 1
[tex]\bf \cfrac{hotdogs}{hamburgers}\qquad 8:1\qquad \cfrac{8}{1}\qquad \cfrac{8\cdot \frac{72}{8+1}}{1\cdot \frac{72}{8+1}}\implies \cfrac{8\cdot 8}{1\cdot 8}\implies \cfrac{64}{8}[/tex]

Related Questions

Suppose that about 58% of the people who are murdered actually knew the person who committed the murder. suppose that a detective file in boston has 60 current unsolved murders. what is the probability that fewer than 32 victims did not know their murderer?

Answers

Final answer:

The probability that fewer than 32 out of 60 victims did not know their murderer can be found using the binomial probability formula, summing the probabilities where x ranges from 0 to 31 with a success rate of 42% for each trial.

Explanation:

To find the probability that fewer than 32 out of 60 murder victims did not know their murderer, given that 58% of victims did know their murderer, we can use the binomial probability formula. Considering that 42% (=100%-58%) of the victims did not know their murderer, we want the cumulative probability of x=0 to x=31 successes (victims not knowing the murderer) out of n=60 trials (total murder cases).

 This can be calculated using a statistical program or a binomial probability table, as manually computing this would be time-consuming and complex. However, the specific steps would involve summing up the probabilities of all scenarios where the number of victims not knowing their murderer ranged from 0 to 31, factoring in the binomial coefficient, the probability of a single victim not knowing the murderer (42%), and its complement for each case.

46x12=46x(10+2), find distributive property

Answers

46(10+2)
=46*10+46*2
=460+92
=552

A fisherman caught one fish that was 12 5 feet long and a second fish that was 9 4 feet long. How much longer was the first fish?

Answers

3.1 ft longer because you have to minus 12.5 by 9.4 , which equals 3.1 feet

The answer is A) 3 / 20 on USA Test Prep!

Have a great day!

What is the answer to. Write a polynomial equation with integer coefficients that has the given roots, x=7 and x=-5

Answers

[tex]\bf \begin{cases} x=7\implies &x-7=0\\ x=-5\implies &x+5=0 \end{cases}\implies (x-7)(x+5)=\stackrel{original}{polynomial} \\\\\\ x^2-2x-35=y\implies 1x^2-2x-35=y[/tex]

How can i use decimal models to add decimals?

Answers

I don’t know. Quite honest here. You didn’t give enough info. What type of decimal problems. Addition, Subtraction, Multiplication, Division. Be more specific.

Which of the binomials below is a factor of this trinomial? x^2-7x-44

Answers

x-11
because 
(x-11)(x+4)
when you multiply that you get x^2 - 7x -44

Answer:

C. (x -11)

Step-by-step explanation:

The given trinomial is [tex]x^2 - 7x - 44[/tex]

Let's factor it. To find factor, we need to find the factors of -44 such that when you add them, we have to get -7

-44 = -11*4

- 7 = -11 + 4

so the correct factors are -11 and 4

Now we can write the middle term - 7x = -11x + 4x

[tex]x^2 - 7x - 44 = x^2 - 11x + 4x - 44[/tex]

Now let's group the first two terms and second two terms and factor it.

= x(x - 11) + 4(x - 11)

Here (x-11) is common factor, so we can take outside and rewrite.

= (x - 11)(x + 4)

So the factors are (x - 11) and (x + 4)

Answer is C. (x -11)

What is difference between 164 and 220

Answers

56 is the difference

The difference between 164 and 220 is 56.

The difference between 164 and 220 is 56. In mathematical terms, you calculate the difference by subtracting the smaller number from the larger one:

220 - 164 = 56.

Tom has r quarters. Express the value of the quarters in cents.

Answers

c = 0.25r

this is becasue quarters have a value of 0.25 and c is the total cents

hope this helps and have a great day! :)

What would you do isolate the variable in the equation below,using only one step?

X-3=7

Select the correct answer below.

A.add 7 to both sides

B. Subtract 3 from both sides of the equation

C.add 3 to the left, 7 to the right.

D.add 3 to both sides

Answers

The answer would be D) Add 3 to both sides or the fourth option because if we add three to both sides and then add seven and three together then we get our answer which is x = 10 since 10 - 3 = 7.

Joe tapped his maple tree to get syrup. The tree filled 3/4 of a cup in 1/2 hour.At what rate does syrup flow from the tree?

Answers

Okay. 3/4 of a cup of maple syrup is filled in 1/2 an hour. We can divide fractions to find the rate that the tree runs out syrup. To divide fractions, keep the first fraction the same, change multiplication into division, and flip the second fraction over. It would look like this: 3/4 * 2/1. 3/4 * 2/1 is 6/4 or 1 1/2 in mixed number form. Syrup flows from the tree at 1 1/2 cups per hour.

The rate of flow of syrup from the tree will be in mixed fraction form, equal to 1 1/2.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

The amount of syrup obtained from the tree = 3/4 cup

The time is taken to fill 3/4 cup = 1/2 hour

Then, the rate of flow of syrup will be,

(3/4) ÷ (1/2)

3/4 × 2/1

= 6/4 = 3/2

It can also be written in mixed fraction form,

= 1 1/2

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convert 220 from degrees to radians

Answers

220 degrees = 3.83972

to convert degrees to radians, multiply by π180°, since a full circle is 360° or 2π radians.220°⋅π180° radians Cancel the common factor of 20 111⋅π9 radians Multiply 111and π9 to get 11π911π9 radians

I hope this helps.

The conversion of the given degrees 220° is equal to 11π/9 radians approximately.

To convert degrees to radians, use the following formula:

radians = degrees × (π / 180)

Let's apply this formula to convert 220 degrees to radians:

radians = 220 × (π / 180)

radians = 220π / 180

Now, to simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 20:

radians = (220/20)π / (180/20)

radians = 11π / 9

Therefore, 220 degrees is equal to approximately 11π/9 radians.

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In a right triangle, one leg measures 4 inches and the other measures 6 inches. What is the length of th hypotenuse in inches

Answers

check the picture below.

If f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f + g)(x).
A. 3x2 + 8
B. 3x2 – 6
C. x2 – 6
D. x2 + 8

Answers

Remember that, although it may look intimidating, (f+g)(x) is simply f(x) + g(x)
Therefore:
(f+g)(x) = f(x) + g(x)             Substitute the functions for f(x) and g(x)
(f+g)(x) = (2x² + 1 )+ (x² - 7)         
Notice that we first want to write the functions in as parenthesis before we add them. This helps us keep from getting confused on what signs to give each term.
(f+ g)(x) = 2x² + x² + 1 - 7    Collect like terms
(f + g) (x) = 3x² - 6
Answer is B

Naomi has 50 red beads and white beads. The number of red beads is 1 more than 6 times the number of white beads. How many red beads does Noami have?

Answers

Let the number of red beads be r.
Let the number of white beads be w.

r + w = 50
r = 6w + 1

Substitute 6w + 1 in for r in the first equation.

6w + 1 + w = 50

7w + 1 = 50

7w = 49

w = 7

She has 7 white beads.

Now we use the first equation to find the number of red beads.

r + w = 50

r + 7 = 50

r = 43

She has 43 red beads.

The sum of two numbers is 43 . The smaller number is 19 less than the larger number. What are the numbers?

Answers

Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31
Final answer:

By setting up a system of equations, we find that the larger and smaller numbers in question are 31 and 12, respectively. We solve for the larger number first and then use it to find the smaller number.

Explanation:

To solve this problem, we can use variables to represent the two unknown numbers. Let's call the larger number x and the smaller number y. We have two pieces of information that can be turned into mathematical equations:

 

Now we can substitute the second equation into the first one to solve for x:

x + (x - 19) = 43

Simplifying the equation, we get:

2x - 19 = 43

Adding 19 to both sides gives us:

2x = 62

Dividing both sides by 2 gives us:

x = 31

Now that we have the value of x, we can find y:

y = 31 - 19

This gives us:

y = 12

Therefore, the larger number is 31 and the smaller number is 12.

Taryn grandmother took her family out to dinner if the dinner was 74$ and Taryn dinner was 20% of the bill how much was Taryns dinner

Answers

the answer is 14.8 ur welcome 

Hello! The total dinner was $74. Taryn’s meal was 20% of the total price. To find the cost of Taryn’s meal, you must do 74 * 0.20. When you multiply those two numbers, you get 14.8. Taryn’s dinner was $14.80.

What does X equal?

15= x/6 - 1

Answers

x=96

first add the one to the 15 then multiply it by 6 and you get 96

Ok, you have your equation 15=x/6-1.
First, add 1 to both sides, get 16=x/6.
Then, multiply both sides by 6.
Get your answer of x=96
Hope this helps

Which expression represents the distance between −14.6 and −5.2 on the number line?

Answers

Hello! To answer this question, all you have to do is subtract both numbers from each other. 14.6 - 5.2 is 9.4. The numbers are 9.4 units away from each other on a number line. An expression that would represent a distance between them are 14.6 - 5.2 = x. Just make the negative numbers positive to make it easier to solve.

Answer:

9.4

Step-by-step explanation:

We are given that two integers -14.6 and -5.2

We have to find  distance between -14.6 and -5.2.

Difference between =-5.2-(14.6)

Difference=-5.2+14.6=9.4

Distance is the absolute value of 9.4

Therefore,

[tex]\mid 9.4\mid =9.4[/tex]

Distance between -14.6 and -5.2 is 9.4

THIS IS URGENT PLZ HELP ME!!!!!!!
The graph shown is for the inequality y ≥ x. The graph has one thing wrong. What is it?
A)The shading is on the wrong side of the boundary line.
B)The boundary line should be dotted or dashed
C)The boundary line has the wrong y-intercept
D)The boundary line has the wrong slope

Answers

This is what it should look like. Compare it with yours and see where yours is wrong.
hope this helps!
Final answer:

For the inequality y ≥ x, the boundary line should be solid, the slope should be 1, the y-intercept should be 0, and shading should be above the line. Therefore, the error could be an incorrect slope, an incorrect y-intercept, or shading below the line.

Explanation:

Without seeing the graph it is difficult to determine exactly what is wrong, but based on the question and the options given, we can review the conditions of the inequality y ≥ x. For this inequality:

The boundary line should be solid, not dashed or dotted, because the inequality includes values where y is equal to x. So, choice B is incorrect. The slope of the boundary line should be 1, which is derived from the coefficient of x in the inequality (plain 'x' implies '1x'). Therefore, the slope being wrong (choice D) could be a possible error.  The y-intercept of the boundary line should be 0. An incorrect y-intercept (choice C) could be another possible error. The shading should be above the line for y ≥ x (the portion where y values are greater than or equal to x values), so if the shading is below the line, choice A would be correct.

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We draw a random sample of size 36 from a population with the standard deviation 3.5. if the sample mean is 27, what is a 95% confidence interval for the population mean?

Answers

95% refers to 2 standard errors from sample mean (SE)

[tex]SE = \frac{s}{\sqrt{n}} = \frac{3.5}{\sqrt{36}} = \frac{3.5}{6} = 0.583[/tex]

Confidence interval is:
[tex][27 -2(.583), 27+2(.583)][/tex]

Given rectangular prism ABCD.



Choose all of the terms that best describe each of the sets of lines or points.

Points A, E, and J

collinear
intersecting
coplanar
noncollinear
noncoplanar

Answers

b and d are tge answers

Answer:  Fourth and Fifth options are correct.

Step-by-step explanation:

Since we have given two points i.e. A, E, and J

We can see from the graph that

A, E, J are non coplanar and non collinear.

Coplanar means that all the points lie in the same plane.

Collinear means that all the points lie in the same line.

But A, E, and J are neither  in the same plane nor in the same line.

Hence, Fourth and Fifth options are correct.

What is the value of 2 in 0.812

Answers

Hello There!

It is equal to two thousandths.
The first number after the decimal point is tenths.
The second number after the decimal point is hundredths
The third number after the decimal point is thousandths.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

The place of the digit 2 in the decimal number will be hundredths place.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The decimal number is the sum of a whole number and part of a fraction number. The fraction number is greater than zero but less than one.

The decimal number is given below.

⇒ 0.812

The place after the decimal starts from the tenths, hundredths, thousandths, and so on.

The place of the digit 2 in the decimal number will be hundredths place.

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Cookies are sold singly or in packages of 10

or 30
.
With this​ packaging, how many ways can you buy 60

​cookies?

Answers

10 + 10 + 10+ 30
30+30
10+10+10+10+10+10

how do you read this number. 7,654,321?

Answers

seven million, six hundred fifty four thousand, three hundred twenty one 

Write 7.625 as a mixed number in simplest form

Answers

7 and 5/8

You divide 625 by 1000 (because the last number is in the thousandths place) to get 125/200, which simplified to 5/8.

Buford and Bobbie had a combined gross income of $154,900 in 2009. When filing their federal income tax return with the Married Filing Jointly filing status, they took the standard deduction of $11,400, claimed themselves as exemptions for $3650 each, and did not have any other adjustments to income. According to the following table, which income tax bracket did they fall into?

Answers

the correct answer is 25%

Answer:25%

Step-by-step explanation:

what is 4.333333333 as a fraction.



I need this answer right now!!

Answers

Answer is : [tex] \frac{4333333333}{1000000000} [/tex]
The correct answer is 13/3.

Use cos(t) and sin(t), with positive coefficients, to parametrize the intersection of the surfaces x^2+y^2=81 and z=5x^4.

Answers

x = 9cos(t)
y = 9sin)t)
z =5[9cos(t)]^4

Answer:

[tex]s(t)=(9 cost,9 sint , 32805 cos^4 t) , t\in (0,2\pi)[/tex]

Step-by-step explanation:

We are given that two surfaces

[tex]x^2+y^2=81[/tex]

and [tex]z=5x^4[/tex]

We have to find the parametrize the intersection of the given surfaces using cost and sin t with positive coefficient.

We know that intersection curve S(t) is given by

S(t)=(x(t),y(t),z(t)),[tex]t\in(0,2\pi)[/tex]

[tex]x^2+y^2=(9)^2[/tex]

Compare with the equation of circle [tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is center of circle and r is the radius of the circle.

The center and radius of given circle is (0,0) and 9.

[tex]x=9cost,y=9 sint[/tex]

because cost  takes along x - axis and sin t takes along y- axis.

When we substitute these values then we get

[tex]81cos^2t+81sin^2t=81(cos^2t+sin^2t)=81 [/tex] ([tex]sin^2t+cos^2t)=1[/tex])

Hence, [tex]x=9 cost, y= 9sint [/tex]

Substitute the value of x in second equation of surface

[tex]z=5(9cost)^4=32805 cos^4t[/tex]

Hence, the intersection curve s(t) is given by

[tex]s(t)=(9 cost,9 sint , 32805 cos^4 t) , t\in (0,2\pi)[/tex]

To make lemonade, you used one gallon of water, four quarts of lemon juice, and 32 ounces of honey. How many quarts of lemonade did you make?

Answers

Well, there's 4 quarts in a gallon, so 1 gallon of water would equal 4 quarts of water.

We already know there are 4 quarts of lemon juice.

And there are 32 ounces in a quart, so that would equal 1 quart of honey.

So all you need to do now is add 4 quarts, 4 quarts, and 1 quart to get 9 quarts. You would get 9 quarts of lemonade.

I hope this helped you! :)
Final answer:

To make lemonade, using one gallon of water, four quarts of lemon juice, and 32 ounces of honey, you would make 34 quarts of lemonade.

Explanation:

First, notice that gallons are larger than quarts. You are moving from a larger unit of measure to a smaller unit of measure. This means you will need to multiply. There are 4 quarts in a gallon, so your conversion factor is 4. Now, multiply. Take the given number of gallons and multiply by 4.

8(1/2) x 4 = (17/2) x (4/1) = 68/2 = 34

The answer is 8(1/2) gallons - 34 quarts.

The only way to sober up after drinking is

Answers

What is the only way to sober up?stuff like cold showers, fresh air, or chewing gum works but time is the only
Final answer:

The body metabolizes and eliminates alcohol at a fixed rate, which can only be sped up with time. Hydrating and eating food may make you feel better, but they do not speed up the process of becoming sober.

Explanation:

The only way to sober up after drinking is to allow time for your body to metabolize and eliminate the alcohol. No amount of coffee, water, or food can speed up this process. The liver processes alcohol at a fixed rate, and it takes about one hour to metabolize one standard drink. Other factors such as sex, weight, and age can affect this rate, but ultimately, getting sober just takes time. While waiting to sober up, hydrating and eating food can make you feel better, but doesn't actually speed up the sobriety process.

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