On Sunday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?

Answers

Answer 1

Final answer:

The local hamburger shop sold 99 hamburgers on Sunday. This was derived using algebraic equations based on the information provided in the word problem.

Explanation:

The problem provided is a classic case of algebraic translation from a word problem. Given that a local hamburger shop sold a total of 396 hamburgers and cheeseburgers, with the number of cheeseburgers being three times the number of hamburgers, we can solve this problem using simple algebraic equations.

Let's denote the number of hamburgers as H and the number of cheeseburgers as C. We know from the problem that C = 3H and that H + C = 396. We substitute C into the second equation to get H + 3H = 396, which simplifies to 4H = 396.

Finally, divide both sides by 4 to solve for the number of hamburgers: H = 396 / 4 = 99. Thus, the hamburger shop sold 99 hamburgers on Sunday.

Learn more about algebra here:

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Related Questions

between which two square roots can u find 3.14

Answers

The square root of 9 is 3
The square root of 16 is 4

Between those square roots lies 3.14

Find the lcm of 6, 5, 3

Answers

Hello There!

6 = 6 12 18 24 30 36
5 = 5 10 15 20 25 30
3 = 3 6 9 12 15 18 21 24 27 30

It would be 30.

Hope This Helps You!
Good Luck :)

The LCM's of 6, 5, and 3. To solve this question, let's list the multiples.

6: 6, 12, 18, 24, 30
5: 5, 10, 15, 20, 25, 30
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

As you can see, all of the three numbers have a multiple of 30. The LCM of 6, 5, and 3 is 30.

Simplify the complex number i^39 as much as possible.

Answers

Answer:

-i

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex]

[tex]i^{2}[/tex] = - 1

Every [tex]i^{x}[/tex] will be equal to -1, when n is even.

Break apart [tex]i^{39}[/tex] into ([tex]i^{38}[/tex])([tex]i^{1}[/tex])

Since 38 is even, [tex]i^{38}[/tex] will be equal to -1

-1*([tex]i^{1}[/tex]) = -i

To simplify i^39, we must use the cyclical pattern of i's powers, which repeats every four. i^39 simplifies to i^3, which is equal to -i.

To simplify the complex number i^39, we should recognize the cycle of powers of i. Since i represents the square root of -1, the powers of i cycle every four powers:

i = ii^2 = -1i^3 = -ii^4 = 1

To find the equivalent of i^39, we can divide 39 by 4 to get a quotient and a remainder: 39 divided by 4 is 9 with a remainder of 3. This means that i^39 is equivalent to i^3, which is -i.

Find 10-3 Write the subtraction fact two ways?

Answers

10 - 3 = 7.
Other ways to write it:
3 + 7 = 10.
7 + 3 = 10.

I hope this helps! :>

There are two ways to write the subtraction fact 10 - 3:

10 - 3 = 7

7 + 3 = 10

What are these two ways?

The first way is to simply subtract the two numbers. The second way is to add the two numbers together to get the original number.

Both ways are correct and can be used in different situations. For example, if you are trying to figure out how many apples are left if you have 10 apples and you eat 3, you would use the first way to subtract the two numbers to get 7 apples.

If you are trying to figure out how many apples you need to buy to have 10 apples if you already have 3 apples, you would use the second way to add the two numbers together to get 7 apples.

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One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. If the company employs 252 workers in that region, what is the total number of employees working for the company?

Answers

so, 252 is 1/5 of the total workforce then, the total or whole will then be 5/5 or 1 whole... well, if 252 is 1/5, what's 5/5?

[tex]\bf \begin{array}{ccll} amount&fraction\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 252&\frac{1}{5}\\\\ x&\frac{5}{5} \end{array}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{\frac{5}{5}}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{1}\implies \cfrac{252}{x}=\cfrac{1}{5} \\\\\\ \cfrac{252\cdot 5}{1}=x[/tex]

Final answer:

One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. The total number of employees working for the company is 1260.

Explanation:

If one fifth of the employees of Delta Industries, Inc. work in the Southeastern region, and there are 252 workers in that region, we can find the total number of employees by multiplying 252 by 5.

5 times 252 equals 1260. Therefore, the total number of employees working for the company is 1260.

Prove that 1=2 with well arranged steps and justify each step

Answers

Justification Step 1: Let a = b. Step 2: Then a^2 = ab , Step 3: a^2 + a^2 = a^2 + ab , Step 4: 2a^2=a^2 + ab, Step 5: 2a^2 - 2ab = a^2 + ab - 2ab, Step 6: and 2a^2 - 2a^b = a^2 + ab - 2ab . Step 7: This can be written as 2(a^2 - ab) = 1(a^2 - ab) , Step 8: and cancelling the (a^2 - ab) from both sides gives 1 = 2.

what is the value of the underlined digit? 587

Answers

There is no underlined dogit

If the line is under the 5 it's five hundreds, in the 8 eight hundreds, and the 7 seven ones.

What decimal equivalent of 5/6

Answers

divide 5 by 6 to get0.8333 ( the 3 keeps repeating)

Travis has a savings account that his parents opened for him. It pays 6% annual interest. His uncle also opened an account for him, but it pays 8% annual interest. If there is $500 more in the account that pays 6%, and the total interest from both accounts is $100, how much money is in each of the accounts?

Answers

so let's say the amounts are "a" and "b", at 6% and 8% respectively.

how much is 6% of a? well (6/100) * a, or 0.06a.
how much is 8% of b? well (8/100) * b, or 0.08b.

so hmm whatever "a" and "b" amounts are, we know that their yield is $100, thus 0.06a + 0.08b = 100.

now, there's more money in "a" than in "b", 500 bucks more, so whatever "b" is, we know that a = b + 500.

[tex]\bf \begin{cases} 0.06a+0.08b=100\\ \boxed{a}=b+500\\ ----------\\ 0.06\left( \boxed{b+500} \right)+0.08b=100 \end{cases} \\\\\\ 0.06b+0.08b+30=100\implies 0.02b=70\implies b=\cfrac{70}{0.02} \\\\\\ b=3500[/tex]

how much was deposited in the 6% one? well, a = b + 500.

Brainiest to Response. AP Statistics Help on Hypothesis Testing! I have various AP Stats questions I'd like to check with those who completed this course or knows about p-values, Hypothesis Testing, and alphas. If you've taken the course and can help me with some AP Statistics questions, I'd appreciate it.

Answers

ill give it a shot friend.

What is the equilibrium price per DVD?

Answers

The equilibrium referred to here is the dynamic equilibrium. It means that there is a change happening, but the opposite change are equal so they cancel out. So, we can determine the equilibrium price at the point where the demand and supply curve intersect. That would be at the quantity of 60 units. Therefore, the equilibrium price is $10.

Central Middle School has 2,470 students and the ratio of students to teacher is 26:1. How many new teachers are needed to reduce this ratio to 19:1?

Answers

so, the school has 2470 students, and the ratio from students to teacher is 26:1 currently, so hmmm how many teachers are there with that ratio anyway?

[tex]\bf \cfrac{student}{teacher}\qquad 26:1\implies \cfrac{26}{1}=\cfrac{\stackrel{2470}{students}}{\stackrel{teachers}{t}}\implies \cfrac{26}{1}=\cfrac{2470}{t} \\\\\\ t=\cfrac{1\cdot 2470}{26}\implies \boxed{t=95}[/tex]

hmm alrite... what if the amount of students is kept the same, but more teachers come in, that the ratio changes and is no longer 26:1 but 19:1?

how many teachers will there be then?

[tex]\bf \cfrac{student}{teacher}\qquad 19:1\implies \cfrac{19}{1}=\cfrac{\stackrel{2470}{students}}{\stackrel{teachers}{t}}\implies \cfrac{19}{1}=\cfrac{2470}{t} \\\\\\ t=\cfrac{1\cdot 2470}{19}\implies \boxed{t=130}[/tex]

so, if there are 130 teachers and 2470 students, the ratio is 19:1.

at 26:1 is with 95 teachers.

how many more new teachers are needed? well, surely you'd know that.

Which equation has no solution?

4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)

Answers

4(x+3)+2x=6(x+2) is the right answer

Answer:

B: 5 + 2(3 + 2x) = x + 3(x + 1)

Step-by-step explanation:

Just took it it's correct so leave a like

Frances left a 19% tip on a meal, including the tip, it's cost was $27.37. What was the cost of the meal before the tip?

Answers

This is just multiplying and subtracting
So 19% in decimal is 0.19
so 27.37 x 0.19 = 5.2 (If not rounded it is 5.2003)
5.2 - 27.37 = 22.17 (If not rounded 22.167)

Answer:

$22.17

Step-by-step explanation:

Please see attachment. Calculations executed in black ink. Justification explained in green ink. Solution highlighted in blue.

Thank you!

How are the decimals .009 and .09 related?

Answers

They're related only because they are smaller than .1. They both have 9 and both have at least on zero. They're different though because .09 is a larger number than .009

Answer:

0.09 is ten times of 0.009

Step-by-step explanation:

The two decimals are 0.009 and 0.09

We can rewrite the decimals in the scientific notation.

0.009 = [tex]9\times 10^{-3}[/tex]

And 0.09 = [tex]9\times 10^{-2}[/tex]

Now we divide first decimal 0.09 by 0.009

[tex]\frac{0.09}{0.009}=\frac{9\times 10^{-2} }{9\times 10^{-3} }[/tex]

=[tex]\frac{10^{-2}}{10^{-3}}[/tex]

= [tex]\frac{10^{3} }{10^{2} }=10[/tex]

Therefore, 0.09 is ten times of 0.009

in order to lose 1 pounds one, must burn off 3500 calories. To burn off 100 calories you must bicycle at 9 mph for 15 minutes. How long do you have to bicycle at 9 mph to lose 7 ponds?

Answers

To burn off one pound,
100 cal * x = 3500
x= 35
You'll need 35 15 minutes to burn off one pound so, 525 minutes per pound, and you need to lose 7 pounds so,
525*7 = 3675 minutes OR 61.25 hours

Final answer:

The student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.

Explanation:

The subject of the question is Mathematics, and it relates to calculating the amount of exercise needed to achieve a certain weight loss goal. The student wants to know how long they must bicycle at 9 mph to lose 7 pounds.

First, we know that to lose 1 pound, one must burn off 3,500 calories. Since 15 minutes of bicycling at 9 mph burns 100 calories, we calculate the time required to burn 3,500 calories (for 1 pound) and then multiply by 7 for the 7 pounds.

To lose 1 pound:
3,500 (calories per pound) / 100 (calories per 15 minutes) = 35 (15 minute sessions to lose 1 pound).

35 sessions * 15 minutes = 525 minutes.

To lose 7 pounds:
525 minutes (to lose 1 pound) * 7 = 3,675 minutes.

3,675 minutes can be converted into hours by dividing by 60 minutes per hour:

3,675 minutes / 60 = 61.25 hours.

Therefore, the student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.

√32 greater or less than 5.1

Answers

The pie of 32 is 5.6 and then there's 5.1

Your answer will be greater because 5.6 is greater than 5.1.

Write 93 11/16 as a decimal

Answers

93 11/16 written as a decimal is 93.6875. Rounded it is approximately 93.7

I hope this helps:)

Janae bought wallpaper that cost $25.90 for each roll of 14 square feet. Find the unit price.

Answers

Answer:

The unit price is $1.85

Step-by-step explanation:

Janae bought a roll of wallpaper that cost = $25.90

Each roll is of = 14 square feet

Cost per square feet = [tex]\frac{25.90}{14}[/tex] = $1.85

The unit price is $1.85

how many significant digits are in 23,000

Answers

2 ,It is the numbers at the beginning the zeros dont count so you would just count the numbers above 0

The difference between 4 and the product of 6x and 40

Answers

Sent a picture of the solution to the problem (s).

0.04 is 1\10 of what

Answers

0.04 is 1/10 of 0.4

hope this helps

Marty wants to paint a box. He can choose to use either blue, green, yellow, or black paint. Also, he can style the paint by painting with a brush, a roller, or a sponge. How many different combinations of color and painting method can Marty choose?

Answers

Since there are 3 different ways of painting each color, we have 3+3+3+3=12 (because there are 4 different colors) ways to paint this

Answer:

Step-by-step explanation:

Marty can choose his paint in 4 ways and his style in 3 ways. Thus there are a total of 4x3=12 different combinations he can choose.

If a tire rotates through 250 degrees in 15 seconds, how many degrees does it rotate in 45 seconds?

Answers

Multiply it by three. Look for patterns. 45/15 is 3 therefore the x amount of degrees must be multiplied by three

Involves 6 suspects, 6 weapons and 9 rooms. one of each is randomly chosen and the object of the game is to guess the chosen three. how many solutions are possible?

Answers

their would be 21 different solutions for this problem

Answer:

Step-by-step explanation:

Find the present value of Php 50,000.00 due in 4 years if money is invested at 12% compounded semi-annually.

Answers

In this case, Php 50,000 money invested for 4 years with 12% rates. If the rate is 12% compounded semi-annually that means it would be 6%/ 6 months. Then the amount of money after 4 years would be:

Php 50,000.00 * (100+6)%^(4 years/ 6 months)=
Php 50,000.00 * 106%^(8)= Php 79,692.40

please help
An arithmetic sequence has this recursive formula

Answers

the explicit formula is B

55% of what number is 22?

Answers

55% = 55/100 = 0.55

22 : 0.55 = 40

55% of 40 is 22

The number will be represented by the variable x.

Now convert the percent into a decimal by moving the % sign two places to the left and make the % sign into a decimal point.

55% = 0.55

In mathematics, 'of' can sometimes mean multiply.
Likewise, 'is' can sometimes mean equal.

0.55x = 22

Solve for x.

0.55x = 22
x = 40 <-- Divide both sides by 0.55.

So, the answer is 40.

Raul and Ruth Are saving for a trip.Raul starts with $350 and saves $15 per week.Ruth starts with $200 and saves $25 per week. When will they have the same amount?

Answers

Develop two linear equations to represent the savings of these two people:
Raul: rl=$350 + $15x
Ruth: rh=$200 + $25x
In both cases, x represents the number of weeks elapsed.

When will these two people have saved up the same amount? Set rl = rh and solve for x, the number of weeks elapsed:

$350 + $15x = $200 + $25x

$150 = $10x gives us x= 15. Their savings will be equal after 15 weeks.

Answer:

Step-by-step explanation:

Prove that if d|m and d|n, then d|(m+n)

Answers

[tex]d\mid m[/tex] means to say there is some [tex]k_1[/tex] such that [tex]m=dk_1[/tex]. Similarly, [tex]d\mid n[/tex] is equivalent to saying there exists [tex]k_2[/te]x such that [tex]n=dk_2[/tex].

Now, [tex]m+n=dk_1+dk_2=d(k_1+k_2)=dk_3[/tex], i.e. there is some [tex]k_3[/tex] such that [tex]m+n[/tex] is a multiple of [tex]d[/tex], i.e. [tex]d\mid(m+n)[/tex].

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