Bob purchased 2 hot dogs and 1 hamburger for S10. Later that day, Bob had to purchase more food and
Bot 1 hot dog and 3 hamburgers for S15. What were the prices of the hamburger and hot dogs?

Answers

Answer 1

Answer:

Hotdog: $3.00

Hamburger: $4.00

Step-by-step explanation:

For the first time that Bob buys food, we can make an equation to find how much a single hotdog and a single hamburger costs, where:

x = cost of a hotdog

y = cost of a hamburger

He bought 2 hotdogs and 1 hamburger for $10, so the equation for his first time buying food is:

2x + y = 10

For the second time buying food, he bought 1 hotdog and 3 hamburgers for $15, so his equation would be:

x + 3y = 15

To find the value for x and y we need to solve this system of equations using the two equations we just came up with. We can do this multiple ways, but I'll be demonstrating the substitution method.

Using the second equation, we can solve for x by simply subtracting 3y from both sides:

x = 15 - 3y

We can then insert this value of x into the first equation so that way we are only dealing with one variable to solve - y:

2(15-3y) + y = 10

Distribute out the 2 into the paratheses, combine like terms, and then solve for y:

30 - 6y + y = 10

30 - 5y = 10

-5y = -20

y = 4

This means the cost for one hamburger is $4. But we still need to find the price of one hotdog, so we can insert this value of y into the equation we came up with earlier for x, and then solve for x:

x = 15 - 3y

x = 15 - 3(4)

x = 15 - 12

x = 3

So the price of one hotdog is $3 and the price of one hamburger is $4. Hope this helps.


Related Questions

6(3x+12-4x)=2x+2+3x solve for x

Answers

Answer:

its 70/11 or 6.36

Step-by-step explanation:

Help me please i really need it​

Answers

Answer is    35:25:81

=======================================================

Explanation:

The ratio we want is in the format green:red:total which means we list the number of green first, then the number of red next, then the number total last. The order is very important. This is because we'll simply list the numbers without saying the color name or "total". So the reader will imply what the numbers refer to, based on this order mentioned.

We have:

50 red70 green42 yellow50+70+42 = 120+42 = 162 total

The ratio of green to red to total is 70:50:162

To reduce the ratio, we divide all three parts of that ratio by the GCF 2

70/2 = 3550/2 = 25162/2 = 81

The ratio 70:50:162 fully reduces to 35:25:81 which is the final answer.

This says that for every 35 green marbles, we have 25 red marbles and 81 total marbles.

i really need help please

Answers

Answer:

207+ 364 = 571

Step-by-step explanation:

i guess?._.

one integer is four more than another integer. the sum of the integer is twenty-six. find the integers

(with solution and check po pls, NONSENSE=REPORT)

Answers

We know that one integer is four more than another integer. This gives us the equation: x + 4 = y

Next, we know both integers give us 26. x + y = 26

Firstly, we can solve for x in x + y = 26. This gives us x = -y + 26. Next, we plug that into our other equation. -y + 26 + 4 = y. This gives us -y + 30 = y. Then, 30 = 2y or 2y = 30. Finally, we have y = 15. One of our integers is 15.

Next, we plug 15 into our equation. I will plug it into x + y = 26. x + 15 = 26. This gives us x = 11.

14 is 4 more than 11. They both add to 26.

Sofia walks from her house to the park. She reaches the park at 5 5 : : 25 25 . If it is a 40 40 -minute walk, what time did she leave her house?

Answers

Answer:

4:45

Step-by-step explanation:

hope this helps

Given: -3x+y=1. Write the equation In general form Ax + By + C =0.
3x - y = -1
3x = y + 1 = 0
-3x + y -1=0​

Answers

The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.

So,

Equation I = (3x + y = 1) and

Equation II = (6x + 2y = 2)

= { 2(3x + y) = 2}

= 3x + y = 2/2

= 3x + y = 1

So, The given equations are 3x + y = 1 and 3x + y = 1.

Thus, there is one equation in two variables.

So, the given equations have an infinite number of solutions.

Answer:

1st option; 3x-y=-1

Step-by-step explanation:

-3x + y = 1

we can divide through by -1 so that the 'x' value is positive:

3x - y = -1

SOSSSS:

Find all the values of x between 0 and 4 for which 3 cos(2x - 1) = 2

Answers

Answer:

0.29 π(52.5°)

Step-by-step explanation: here is the explanation

PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line

Answers

three points would include (0,0), (6,10), (9,15) (-3,-5)

A number x is no less than 18

Answers

Answer:

x>18

Step-by-step explanation:

That's the answer if x can't be 18.

Answer:

x ≥ 18

Step-by-step explanation:

I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x,  can be equal or more than 18

PLS HELP!!!!! What are the zeros of polynomial function [tex]F(x) = x^4 - 10x^2 + 16[/tex]

Answers

Answer:

(-√8, 0), (-√2, 0), (√2, 0), (√8, 0)

Step-by-step explanation:

true or false

A political party is a group of people who seek to control government by winning elections and holding office

Answers

Answer:

True

Step-by-step explanation:

Eg. Republican party nominates a candidate to be considered by the people [hopefully voted] into office. If they win the election, they control a part of government in office.

One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *

Answers

Answer: I need the map good sir please show it

Step-by-step explanation:

The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?

40 feet
4/33feet
16/33feet
20/33feet

Answers

Answer: 4/33 feet

Explanation: 20/33 - 16/33 = 4/33

a. How much higher is 500 than 400 m?
b. How much higher is 500 than -400 m?
C. What is the change in elevation from 8,500 m to 3,400 m?
d. What is the change in elevation between 8,500 m and -300 m?

Answers

A 100 m
B 900m
C -5,100m
D- 8,800

Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values are integers. What's the domain and range for this graph ?

Answers

The domain of the graph is  [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].

The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.

For the graph, the domain will be the values of the graph along the x-axis.

Domain = [tex]-8<x\leq 9.5[/tex] (Note that -8 is not included)

For the range, the interval is given as: [tex]-4\leq x<4[/tex]. Note that the value of 4 is not included since it is opened.

Learn more on domain and range here: https://brainly.com/question/1942755

In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life. Using the vase for a scale factor, how tall was the table? PLEASE ACTUALLY ANSWER AND DON'T JUST PUT I DON'T KNOW OKAY? ​

Answers

Answer:

5.67

Step-by-step explanation:

The scale factor of the height of the image is 7.89.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image.  The scale factor is the ratio of the actual size to the scaled size of the object.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.

The scale factor will be calculated as,

Scale factor = ( 30 / 3.8)

Scale factor = 7.89

To know more about scale factors follow

https://brainly.com/question/25722260

#SPJ2


If a square has an area of 49 ft', what is the length of one of its sides? The perimeter?

Answers

Answer: 12.25 ( each side )

Step-by-step explanation

Divide 49 by 4, which is 12.25

The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.

Answers

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589


PHOTO ATTACHED PLESE HELPPPP!!!!!!!!!!!!!!

Answers

Answer:

[tex]5x^2 + 3x - 2[/tex]

This answer is correct because I simplified using like terms.

Step-by-step explanation:

Subtracting Polynomials

They key to subtract, multiply, add, and divide polynomials is by using like terms. Like terms are values with the same bases. For example :

          [tex]ax^2[/tex]     and    [tex]2ax^2[/tex]    are like terms because they have the base  [tex]ax[/tex]

Step 1: Move like terms together

First, let's remove all parenthesis:

[tex](3x^2 + 9x-6)-(2x^2-4x^2+6x-4)\\\\= 3x^2+9x-6-2x^2+4x^2-6x+4[/tex]

Now let's move all like terms together:

[tex]3x^2+9x-6-2x^2+4x^2-6x+4= \\3x^2-2x^2+4x^2+9x-6x-6+4[/tex]

Step 2: Simplify

Now we can add and subtract the like terms like we do in any other problem

[tex]3x^2-2x^2+4x^2+9x-6x-6+4 = \\5x^2+3x-2[/tex]

Step 3: Explaining your answer

Just say: "This answer is correct because I simplified using like terms"

-Chetan K

Select all equations that do NOT have a solution.
A 8x + 4x = 0
B 6x + 2 = 4x + 2 + 2x
C 4x – 8x – 3 = 6 – 4x
D 5x + 1 = 1 – 5x
E 12x – 3 – 5x = 9 + 7x – 6

Answers

Answer:

C and E are the answers:)

Step-by-step explanation:

Hope this helps!

Answer- C,D, and E

If you plug in any number for those proplems you will get a different number a each side

On a separate sheet of paper, graph the function. In the answer box, describe the function.
f(x) = {-5x+2 if x 2
2x - 2 if x 22

Please type your explanation (no links).

Answers

Answer:

  see attached

Step-by-step explanation:

The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).

The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).

You can plot the points described here and draw rays through them to form the graph. A graph is attached.

__

description

The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).

Its domain is all real numbers. Its range is all y-values greater than -8.

The sum of two numbers is 43. The smaller number is 7 less than the larger number. What are the numbers?

Answers

Answer:

the expressions are: x + y = 43  and x - 13 = y

x = 28

y = 15

Step-by-step explanation:

hope this helps

may i get braineist pls

Answer:

Smaller is 18, larger is 25.

Step-by-step explanation:

x + y = 43

y = x - 7

x + (x - 7) = 43

2x - 7 = 43

2x = 50

x = 25 (larger)

25 - 7 = 18 (smaller)

Help help help help help help

Answers

[tex]\huge\bold{\purple{\bold{⚡133°⚡}}} [/tex]

Step-by-step explanation:

Co interior angles' sum is 180°

So, 180-67=133133°

Need help!! timed, and will give brainlist

Answers

Answer: 90

Step-by-step explanation:

i need help with this question pls

Answers

Answer:

etra cheese

Step-by-step explanation:

mark me brainleist

Extra cheese , make me brainlest

PLEASE HELP DUE NOW!!

Answers

Answer:

✓ C. f(x)= sqrt 1/x

Step-by-step explanation:

i hoep this answer your question

Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investment, including the broker fee, was $5,726.70. How many shares did he purchase.

Answers

Answer:

180

Step-by-step explanation:

add 1% to 31.50 to get 31.815

then take the total 5276.70 and divide by 31.815

Help find the value X

Answers

Answer:

x=61

Step-by-step explanation:

2x-6+x+3=180

3x-3=180

3x=183

x= 61

Ok done. Thank to me :>

Select the correct answer.

What is the symbolic representation for this argument?

If a polygon has exactly three sides, then it is a triangle

Jeri drew a polygon with exactly three sides.

Therefore, Jeri drew a triangle.


Answers

Answer:

jeri drew a plgon with exatly three sides

Answer:

could you add the choices please

Step-by-step explanation:

it doesnt help without the choices

Francine recorded today's high
temperature as 78.6°F. Today's low
temperature was 4.7°F less than
that. How much cooler was today's
low temperature than yesterdays low
temperature, which was 77.4°F?

Answers

Answer:

3.5

Step-by-step explanation:

the problem says 4.7 less than which refers to subtraction so we can plug our numbers into a subtraction problem like so

78.6-4.7 which equals 73.9

the second part of the problem asks the difference between yesterday's low and today's.

we can take the two lows and subtraction them to find this answer.

77.4-73.9 which equals 3.5

so today's low was 3.5 degrees cooler than yesturdays

Other Questions
3(4 x 6)= (3 x 4) 6 is an example of the __________ property. A.commutative B.associative C. distributive D.inverse Dan and Lori Cole operated a Curves franchise exercise facility in Angola, Indiana, as a partnership. The firm leased commercial space from Flying Cat, LLC, for a renewable three-year term. The Coles renewed the lease for a second three-year term. Two years later, however, the Coles divorced and the partnership was dissolved. By the end of the second term, the Coles owed Flying Cat more than $21,000 on the lease. Without telling the landlord about the divorce, Lori signed another extension. More rent went unpaid. Flying Cat obtained a judgment in an Indiana state court against the partnership for almost $50,000. Can Dan be held liable? Why or why not?1. In order to form a partnership, Dan and Lori were required to:____.A. form an agreement between themselves to become a partnership B. rewrite bylaws C. conform to federal regulations D. file minutes with the appropriate office in their state (e.g., secretary of state)2. What is an important reason for Dan and Lori to form a partnership? A. to be taxed at the entity level B. to be considered a corporation under state law C. to establish joint ownership and share profits and losses D. to file articles of organization with the secretary of state.)3. Dan and Lori are _____.A. members B. partners C. shareholders of the partnership.4. Limited liability companies are creatures of ___.A. state constitutions B. statute C. case law D. secondary sources5. In order to form a limited liability company, Flying Cat would be required to file ____.A. articles of organizationB. bylaws C. regulations D. minutes with the appropriate office in their state (e.g., secretary of state))6. Generally, are limited liability companies required to include words or initials such as "limited liability company" or "LLC" as part of the company name? 7. What is an important reason for Flying Cat to form as a limited liability company? A. to be taxed at the entity level B. to be considered a corporation under state law C. to protect the members from personal liability D. to file articles of organization with the secretary of state)8. Generally, the liability of members of Flying Cat, LLC, would be limited to their respective?A. ownership interests in the company B. investments in the company C. personal assets9. Did both Dan and Lori operate the Curves franchise as a partnership?10. When Dan and Lori renewed their commercial lease for a second three-year term, were they still a partnership?11. Dan and Lori divorced ____.A. before B. after the end of the second three-year term.12. When Lori signed for another extension, did Lori or Dan tell Flying Cat about the divorce? 13. At the time of signing of the extension, it was ___.A. reasonable B. unreasonable for Flying Cat to believe that Dan and Lori remained partners in the Curves franchise.14. A court would likely find Dan ____.A. liable B. not liable for $21,000 of debt that accrued before the end of the second term.15. Would a court likely hold Dan responsible for the remaining debt that accrued after the extension signed by Lori?16. Why? Flying Cat would have _____.A. reasonably B. reasonably believed that both Dan and Lori were partners at the time the extension was signed.17. Therefore, would Dan likely be held liable by the court for the nearly $50,000 debt the partnership accrued? 18. What if the facts were different? Assume that Dan notified Flying Cat that he was no longer a partner in the partnership at the time Lori signed the extension. Would Dan likely be held liable for any debts after Lori signed the extension agreement? 19. Why? 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