At a concession stand, three hot dog(s) and two hamburger(s) cost $7.50, two hot dog(s) and three hamburger(s) cost $8.75. Find the cost of one hot dog and the cost of one hamburger

Answers

Answer 1

Step-by-step explanation:

If 3 HD and 2HB cost $7.50

2 HD and 3HB cost $8.75

Let,y be HD

Y be HB

So 3y + 2x = $7.50. Eqn 1

2y + 3x = $8.75. Eqn 2

Solve simultaneously

Make x the subject in Eqn 1

3y + 2x = 7.50

2x = 7.50 - 3y

Devide by the coefficient of x

2x/2 = (7.50 - 3y) / 2

X = (7.50 - 3y) /2 Eqn 3

Put Eqn 3 into 2

2y + 3(7.50 - 3y) / 2 = 8.75

2y (22.5 - 9y) / 2 =8. 75

Multiply by the lcm of the denominators

2y x 2 + ((22.5 - 9) / 2) x 2 = 8.75 x2

4y + 22.5 - 9y = 17.50

Group like terms

22.5 - 17.50 = 9y - 4y

5 = 5y

5/5 = (5y) / 5

1 = y Eqn 4

Therefore 1 HD is $1

Put Eqn 4 into eqn 3

X = (7. 50 - 3y) / 2

X = (7.50 - 3(1)) / 2

X = 4.5 / 2

X = 2.25

Therefore 1 HB is $2.25

At A Concession Stand, Three Hot Dog(s) And Two Hamburger(s) Cost $7.50, Two Hot Dog(s) And Three Hamburger(s)

Related Questions

Which value of x from the set 4, 5, 6, 7}, makes this equation true?
4(8 - x) = 8
A. 4
B. 5
c. 6
D. 7

Answers

4(8-x)=8

8-x=8/4

8-x=2

-x= 2-8

-x= -6

x=6

-> c

Three students are working to find the solution set of this system of equations:

y = 3x + 10
2y = 6x – 4

Use the drop-down menus to complete the statements about each of their methods.

Mia answer choices 1:
-Intersect
-Do not Intersect
-Are the same line

Mia answer choices 2:
-One
-Zero
-Infinetly many

Roberto answer choices 1:
-Can
-Cannot

Delmar answer choies 1:
-sometimes
-never
-always

Delmar answer choices 2:
-One
-Zero
-Infinitely many

Answers

In the equation, Mia correctly graphs the two lines and sees that they do not intersect. This means that the system has zero solution.

How to illustrate the equation?

From the complete question, Roberto correctly sees that y cannot be equal to both 10 more than three times a number and 2 less than three times a number at the same time.

Delmar correctly concludes that because 3x + 10 and 3x - 2 will never be equal, the system has zero solution.

Learn more about equations on:

https://brainly.com/question/12444483

Round your answer to the nearest hundredth.

Answers

Answer:

41.81°

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Sarah's family has a circular swimming pool The circumference of the pool is 25.12 m. What is its area

Answers

Answer:

4889.26m²

Step-by-step explanation:

[tex]Solution,\\\\Here,\\\\Circumference(C)=25.12 m\\\\Radius(r)=?\\\\As,\\\\\hookrightarrow Circumference=2\pi r\\\\\hookrightarrow 25.12m/2\pi =r\\\\\hookrightarrow r=39.45m\\\\Now,\\\\Area=\pi r^{2} \\\\Area=\pi \times(39.45m)^{2} \\\\Area=4889.26m^{2}[/tex]

The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free
throws, find how many free throws she attempted.
a 3 free throws
c. 21 free throws
b. 7 free throws
d. 4 free throws


B
С
D
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

21

Step-by-step explanation:

I noticed that 4 times 3 equals 12, which is the number of free throws she completed. I multplied 3 by 7 and got 21

mhm so basically if you this about it the number of letters in the rainbow is also the color of your dog WAKE UP WAKEUP WAKEUP and if your dog's color matches the blue sky the answer is b

helppppppp!!!!!!!!!!!!!!

Answers

Answer:

20 oz

Step-by-step explanation:

12 + 20 = 32

32 to 20 is equal to 8 to 5

A house blueprint has a scale of 1 in. : 6 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint.

Answers

Answer:

The dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

Given information:

A house blueprint has a scale of 1 in : 4 ft.

The length and width of each room in the actual house are shown in the table below:

 Living room  Kitchen  Office  Bedroom  Bedroom     Bathroom

Length  20             16    8              8                      20                6

width 8             16    16              16              20                8

The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.

So, the length and width of the different rooms in te house in the blueprint will be,

 Living room  Kitchen  Office  Bedroom  Bedroom       Bathroom

Length(in) 5             4            2              2                      5                        1.5

width(in)   2             4            4              4                      5                          2

Therefore, the dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

For more details, refer to the link:

brainly.com/question/2305449

Step-by-step explanation:

hope this helps

Evaluate Grace's new budget.
ОА. Her new budget should have money in every budget category, including debts and medical expenses
OB. Her new budget should have money in medical expenses because she does not know what medical problems she will
encounter in the future.
OC. Her new budget is fine because debts and medical expenses were not needed last month.
OD. Her new budget should have money in debts so that she can afford to go into debt if she has medical expenses.

Answers

I think it is D

let me know
I’m sure it’s D but pls correct me

A cube-shaped box is filled with coffee beans. Which equation represents the density of coffee beans in the box? Let c represent the number of coffee beans.

Answers

Answer:

option b I guess

Step-by-step explanation:

D=c/s³ would be the answer

A cylinder has a radius of 10 feet and a height of 11.4 feet.

What is the approximate volume of the cylinder?

Answers

Answer:

716.57

Step-by-step explanation:

V=πr2h

V = 2×22/7×10×11.4

= 716.571

give me a brainliest

The table shows selected values of a piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞). Which of the following statements are true? Select all that apply.

help pls

Answers

Answer: B D F

Step-by-step explanation:

The statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).

What is piecewise function?

A piecewise function is one that has several curve parts in its graph.

It means that, based on the value of the input, it has countless definitions.

A piecewise function, in other words, performs differently depending on the input.

We have given a data for a piecewise function.

From the data:

[tex]\rm \lim_{n \to 3^+} f(x) = 5[/tex]

[tex]\rm \lim_{n \to 3^-} f(x) = 6[/tex]

[tex]\rm \lim_{n \to 2^+} f(x)[/tex] Does not exist because [tex]\rm \lim_{n \to 3^+} f(x)[/tex] and [tex]\rm \lim_{n \to 3^-} f(x)[/tex] are not equal.

Thus, the statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).

Learn more about the piecewise function here:

brainly.com/question/12561612

#SPJ2

In making a budget, a person should spend about one-third of his or her salary on
rent or housing, should put about one-tenth into a savings account, and should
plan to have about one-third taken out in taxes. What fraction of a person’s salary
is then left for everything else?

Answers

Lets see

One-third on rentOne tenth on savingsOne third for taxes

Left:-

1-(1/3+1/10+1/3)1-(20+20+3/30)1-43/3030-43/10-13/10

Not left anything

Find the area of this parallelogram.
A) 20 B) 24 C) 40 D) 60

Answers

[tex]\underline{\clubsuit{\bf{Given-}}}[/tex]

Height of the Parallelogram = 4cm

i.e, H = 4cm

Breadth of the Parallelogram = 10cm

i.e, B = 10cm

Measure a side of the Parallelogram = 6cm.

PS - Neglecting this because it is given just to puzzle us nothing else.

[tex]\underline{\clubsuit{\bf{To\:find-}}}[/tex]

the area of the Parallelogram.

[tex]\underline{\clubsuit{\bf{Concept-}}}[/tex]

Area of Parallelogram Formula

A parallelogram's area is defined as the space enclosed by two pairs of parallel lines. Since a rectangle and a parallelogram have identical properties, the area of a parallelogram equals the area of a rectangle.

What's the procedure to find?

To find the area of the parallelogram, we have to multiply the base (denoted by B) of the perpendicular by its height (denoted by H). We should keep in mind that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base. Thus, a dotted line is drawn to represent the height.

— Formula

Area of Parallelogram = Breadth (B) × Height (H)

[tex]\underline{\clubsuit{\bf{Solution-}}}[/tex]

Applying the formula and putting the values stated above,

[tex]\rightarrow{\sf{Area=10\times4}}[/tex]

[tex]\rightarrow{\boxed{\bf{Area=40cm^2}}}[/tex]

Hence, the area of the Parallelogram is 40cm².

A populations growth rate is r=3% per year how many years does it need to reach ten times its initial size

Answers

Answer:

333.3 years

Step-by-step explanation:

The formula

I = Prt

Condition

I needs to equal 10 x P

Solving

I = Prt10P = Prt10 = 0.03 x tt = 10/0.03t = 10/3 x 100 = 1000/3 = 333.3 years

Write the equation in slope-intercept form. y=−5(x+6)+2x

Answers

Answer:

y = −3x −30

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

y = −5(x + 6) + 2x <== distribute -5

y = −5(x) + −5(6) + 2x

y = −5x −30 + 2x <== combine like terms

y = −3x −30

y = −3x −30

-3 = slope-30 = y-intercept (0, -30)

Hope this helps!

PLEASE HELPPP !! use the pythagorean therorem equations and find the missing length of the side.

Answers

Answer:

if you want to find c do sqrt( a² + b²)

if you want to find a do sqrt( c² - b²)

if you want to find b do sqrt( c² - a²)

In how many ways could you select 2 of the 6 possible different brands of
orange juice at the store?

Answers

Answer:

15 different ways you can select 2 of 6 brands of orange juice

Step-by-step explanation:

Brand 1

Brand 2

Brand 3

Brand 4

Brand 5

Brand 6

1. (B1, B2)

2. (B1, B3)

3. (B1, B4)

4. (B1, B5)

5. (B1, B6)

6. (B2, B3)

7. (B2, B4)

8. (B2, B5)

9. (B2, B6)

10. (B3, B4)

11. (B3, B5)

12. (B3, B6)

13. (B4, B5)

14. (B4, B6)

15. (B5, B6)

In a history class, 30 students were asked about other courses that they were enrolled in: 20 said they were taking math, 22 were taking English and 26 students were in either math or English. a) How many students are taking both math and English b) How many are in neither c) What percent of the students are taking math but not English

Answers

16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English

What is probability?

Probability is the likelihood of occurrence of an event. It is given by:

Probability = number of occurrence / total possible outcomes.

Let x represent the number of students that took both maths and english, hence:

Number of students taking only maths = 20 - x

Number of students taking only english = 22 - x

26 = 20 - x + (22 - x) + x

42 - x = 26

x = 16

b) Those who took neither = 30 - 26 = 4

c) those taking only math = 20 - 16 = 4.

Percentage = (4/26) * 100 = 15.38%

16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English

Find out more on probability at: https://brainly.com/question/24756209

You buy x bags of chips for $.75 per bag. How much do you spend on chips.

Answers

Answer:

Step-by-step explanation:

Equation

Cost = 0.75 * x

The answer is Cost = 0.75 * x

pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9​

Answers

Answer:

5x(squared)-4x+1

2x(squared)+11xy+14

7x(squared)+7xy+3x-17

Step-by-step explanation:

What is the mode of the data represented in this line plot?

Enter your answer in the box.

Answers

Answer:

3

Step-by-step explanation:

The mode is 3 because it is the most commonly repeating number in the data set.

The mode of the data represented in this line plot is 3

How to determine the mode?

From the line plot, we have the following frequency table

Data   Frequency

1               2

2            3

3            4

4            3

In the above frequency table, the entry 3 has the highest frequency of 4

Hence. the mode of the data is 3

Read more about mode at:

https://brainly.com/question/14532771

#SPJ2

Find the measure picture attached

Answers

Answer:

30

Step-by-step explanation:

90 - 60 = 30

Find the two correct values of x in the equation 3x² = y when y = 75.​

Answers

Answer:

5 and -5

Step-by-step explanation:

3x² = 75

x² = 75/3

x² = √25

x = 5 and - 5

Determine the net change between the given values of the variable.
f(x) = 7x − 9; x = 2, x = 3

Answers

Answer:

the net change is 7

if u substitute x with

2 u get 5

3u get 12

4 u get 19

Help with this question

Answers

Answer:

b = 5√3

Step-by-step explanation:

I would honestly just use pythag, but I'll use trig:

tanθ = opposite/adjacent

tan(30°) = 5/b

btan(30°) = 5

b = 5/tan(30°)

b = 5/(√3/3) = 15/√3

b = 15/√3 · (√3/√3) = 15√3/3

b = 5/√3

Check with pythag:

a² + b² = c²

5² + 5√3² = 10²

25 + 25(3) = 100

25 + 75 = 100  ✅

I hope this helps!

Prove: AB/CD =AC/CD
Check out the other post with this question to understand it fully.

Answers

Answer:

Step-by-step explanation:

I’m having trouble can someone find this answer out

Answers

Answer:

f(x) = 13 when x = 10.

Step-by-step explanation:

[tex]f(x)=\frac{x}{2}+8[/tex]

[tex]f(10)=\frac{10}{2}+8[/tex]

[tex]f(10)=5+8[/tex]

[tex]f(10)=13[/tex]

Therefore, f(x) = 13 when x = 10.

Answer:

13

Solution:Plug in the value of x, which is equivalent to 10, instead of x:[tex]f(10)=\displaystyle\frac{10}{2} +8[/tex]f(10)=5+8f(10)=13

Hope it helps.

Do comment if you have any query.

Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)

Answers

Answer:

A:

-4x(2x2 – 3x + 7)

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = [tex]\sqrt{165}[/tex]

Step-by-step explanation:

Pythagorean Theorm: a^2 + b^2 = c^2

a^2 + b^2 = c^2

14^2 + x^2 = 19^2

196 + x^2 = 361

x^2 = 165

x = [tex]\sqrt{165}[/tex]

K,
C^2= a^2+b^2
18^2=a^2+14^2
324=a^2+196
-196
A^2=128
Square root of 128= 11.314

june uses 12eggs to make cupcakes she uses 4eggs for each batch of cupcake

Answers

Answer:

12/4=3

Step-by-step explanation:

12/4

Answer:

3 batches

Step-by-step explanation:

Assuming that you are asking for how many batches she can make, we can divide 12 by 4 to find the number of batches.

Other Questions
Why would readers want to read an essay with this thesis? Howwill you respond to a reader who hears your thesis and asks"So what?" or "Why does it matter? best topic for speech to present in farewell program You buy x bags of chips for $.75 per bag. How much do you spend on chips. pls help me pls write method add1) 3x+5x-8 ; 2x-9x+92) 8xy+19-5x ; 7x-5+3xysubtract 1) 9x-5x+3xy-8 from 2x-8x-4xy+9 Why will a sound wave travel through a solid more quickly than through a gas?Group of answer choicesThe particles in a gas are close together, which means the vibrations of the sound wave transmit more slowly.The particles in a gas are spaced farther apart, which means the vibrations of the sound wave transmit more quickly.The particles in a solid are spaced farther apart, which means the vibrations of the sound wave transmit more quickly.The particles in a solid are closer together, which means the vibrations of the sound wave transmit more quickly. jake buys a new car that costs $15,000 he borrowed from the bank with 3.5% compound interest per year. If it takes 7 years to pay off the loan, how much will he have paid for the car? How many solutions does this system of equations have?Sy=-4x + 32x + 8y = 10 Convert 0.631 to a fraction in simplest form and a percent. Write the equation in slope-intercept form. y=5(x+6)+2x katie says the graph of y = 8 (1/2)^x is the same as the graph f(x) = 8(1/2)^x. Do you agree? explain your reasoning. Which expression is equivalent to (x 4)(2x2 3x + 7)?A. -4x(2x2 3x + 7)B. x(2x2 3x + 7) - 4C. x(2x2 3x + 7) + 4(2x2 3x + 7)D. x(2x2 3x + 7) - 4(2x2 3x + 7) Why should you consider the individual's age when designing a training program?A. Older individuals cannot participate in strength training activities.B. Some activities may be inappropriate for particularly young or old participants.C. None applyD. Younger individuals do not need flexibility training. How many inches apart should the feet be to maintain a broad base of support? Ad is tangent to circle b at point c. what is the measure of bca? 40 50 90 180 circle b with radius b c. line tangent to chord c has points d a c in that order. segments are drawn from the center to each point In a history class, 30 students were asked about other courses that they were enrolled in: 20 said they were taking math, 22 were taking English and 26 students were in either math or English. a) How many students are taking both math and English b) How many are in neither c) What percent of the students are taking math but not English Which is not considered a risk management responsibility of the venue manager as they seek to minimize the risks in the event environment of their venue Why did Mandelas point of view on the use of violence against the apartheid government change in the early 1960s? The radius of a circle is 11 miles. What is the circle's circumference? What is the molarity of NaCl when 5.0 moles of NaCl is dissolved in 2.0 L solution Find the volume of the coneUse 3.14 for . Round your answer to the nearest tenth if needed. Do not enter units.