At the baseball game, the Gregory's bought 5 hot dogs and 2 hamburgers and paid $27.00. The Hart's purchases 3 hot dogs and 4 hamburgers and paid $29.50. How much does 1 hot dog cost?

Answers

Answer 1

Answer:

1 hot dog costs $3.50

Step-by-step explanation:

Represent Hot dog with x and Hamburger with y

Gregory's purchase:

[tex]5x + 2y = 27[/tex] --- (1)

Hart's purchase:

[tex]3x + 4y = 29.5[/tex] ---- (2)

Required

Find x

To do this, we'll make use of the elimination method of solving simultaneous equation.

Start by multiplying (1) by 2

2 * ([tex]5x + 2y = 27[/tex])

This gives:

[tex]10x + 4y = 54[/tex] ---- (3)

Subtract (2) from (3)

[tex]10x + 4y = 54[/tex]

- ([tex]3x + 4y = 29.5[/tex])

-------------------------

[tex]7x = 24.5[/tex]

Solve for x

[tex]x = \frac{24.5}{7}[/tex]

[tex]x = 3.5[/tex]

Hence:

1 hot dog costs $3.50


Related Questions

The two-way table below describes the practice habits of members of the school band and choir.

Practice Habits of School Musicians


Less than
30 Minutes per Day
At Least
30 Minutes per Day
Band Students
38
26
Choir Students
18
12

Which statement best describes the relationship between the two variables?
There is an association because the relative frequencies by row are different.
There is an association because the relative frequencies by row are similar.
There is no association because the relative frequencies by row are different.
There is no association because the relative frequencies by row are similar.

Answers

Answer:

the answer is c

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

hope this helps :)

Find the slope. Explain what the slope and y-intercept means for the situation. Be sure to use your labels when explaining the real-life situation.

Answers

Answer:

Slope: 25, y-intercept: 0

Step-by-step explanation:

Take any two points. I'm going to take (3, 75) and (4, 100).

How to find slope: change in y/change in x

Change in y --> 100 - 75 = 25

Change in x --> 4 - 3 = 1

25 ÷ 1 = 25.

Slope is 25

Since 3 · 25 = 75, the y-intercept is 0.

The y-intercept stands for how much money someone gets for working 0 days, so they get $0 for working/whatever situation they're in for 0 days.

What value of x is in the solution set of 2x. 3 > 11 - 5x?

a. -3
b. 0
c. 2
d. 4​

Answers

Answer:

i think option d

Answer:

The answer is D : 4.

Step-by-step explanation:

=2x-3>11-5x

=2x-3+5x>11

=7x-3>11

=7x>11+3

=7x>14

=7x/7>14/7

=x>2

By simplifying the problem, you can see that "x" must be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4.

I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me.

What is JK? In the picture above

Answers

Answer:

pretty sure it's also 2.9 since the other two sides are the same

Step-by-step explanation:

Answer:

if you are looking for an angle it is 90 if you are looking for the length of the side it is 2.9

Step-by-step explanation:

For every 242424 meals Momoka prepared for customers last night, she prepared 222 meals for employees. Momoka prepared 156156156 meals. How many meals did Momoka prepare for customers and for employees last night?

Answers

9514 1404 393

Answer:

13 meals for employees143 meals for customers

Step-by-step explanation:

2/24 = 1/12 of the 156 meals were for employees. That is ...

  156/12 = 13 meals . . . . for employees

The remaining 156 -13 = 143 meals were for customers.

The line graphed below has a slope of ____.

3
1/3
-3

Answers

It is -3 because it had a negative slope

Answer:

-3

Step-by-step explanation:

Hope this helps!

Can anyone please help me on this!? I’ll give brainliest!

Answers

Answer

Step-by-step explanation:

If _______ angles are ______ then lines are parallel

Answers

If two lines are cut by a transversal and the alternate interior angles are congruent,the lines are parallel.




I hope this helps.

Kijuan needs to buy eggs to make breakfast for the next week. Each carton of eggs holds 12 eggs. Which of the following equations represents the relationship between the number of eggs that Kijuan will , y, and the number of cartons he buys, x ?

Answers

Answer:

[tex]\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

Natasha rides her bicycle to school. She rides slowly uphill for 5 minutes when she first leaves her house, then speeds up and rides at a consistent speed on flat road for 15 minutes. The last 7 minutes of her ride, she goes faster and faster, flies downhill until she arrives at school. Which graph shows the relationship between Natasha’s speed on her bicycle and time?

Answers

Answer:

B

Step-by-step explanation:

i searched it up

what is 4613203.125 rounded as a whole number​

Answers

Answer:

4613203

Step-by-step explanation:

To round as a whole number, take the decimals and see what the first number of the decimal is. if the number is 5 or more, its 1 more number. if its lower than 5, its not a whole number.

!!IMPORTANT!! 10 POINTS!!
Francis is playing an online puzzle game. He has 25 points and earns 5 points for puzzle he solves correctly. He will advance to the next round if his score is over 75 points. Which inequality can Francis use to find how many more puzzles he must solve to advance to the next round?

Answers

Answer:

x>10

or

5x+25>75

Step-by-step explanation:

Answer:

25 + 5x > 75

Step-by-step explanation:

Let x be the number of puzzles Francis needs to solve to advance to the next round.

25 points + (No. of rounds × Points per round) is more than 75 points.

25 points: 25

(No. of rounds × Points per round): 5x

is more than: >

75 points: 75

25 points + (No. of rounds × Points per round) is more than 75 points:

25 + 5x > 75

A 5-column table with 6 rows titled Number of cans collected. Column 1 has entries 7, 8, 10, 11, 11, 14. Column 2 has entries 16, 17, 18, 18, 24, 25. Column 3 has entries 28, 29, 30, 30, 35, 37. Column 4 has entries 38, 40, 40, 41, 41, 41. Column 5 has entries 42, 42, 42, 42, 42, 43.
Students from Grover Middle School are recycling aluminum cans. The table shows the total number of cans brought in each school day for a period of six weeks. They collected a total of 862 cans. Use the drop-down menus to define the terms.

Mean:
Median:
Mode:
Range:

Answers

Answer:

mean: 28.73

median: 30

Mode: 42

Range: 36

Step-by-step explanation:

Took the test on edge2020

Answer:

Students from Grover Middle School are recycling aluminum cans. The table shows the total number of cans brought in each school day for a period of six weeks. They collected a total of 862 cans. Use the drop-down menus to define the terms.

Mean:  

✔ 28.73

Median:  

✔ 30

Mode:  

✔ 42

Range:  

✔ 36

Step-by-step explanation:

Correct answers

Number the steps for balancing equations:

Answers

Step 1: The Unbalanced Chemical Equation. The unbalanced chemical equation is given to you. ...
Step 2: Make a List. ...
Step 3: Identifying the Atoms in Each Element. ...
Step 4: Multiplying the Number of Atoms. ...
Step 5: Placing Coefficients in Front of Molecules. ...
Step 6: Check Equation. ...
Step 7: Balanced Chemical Equation.

Graph the linear equation -x + 2y = 3 by identifying the x- and y-intercepts ​

Answers

Answer: Hopes this helpss

Step-by-step explanation:

to find the x intercept substitute in 0 for y and solve for x

To find the y-intercept, substitute in 0 for x and solve for y

x intercept (-3,0)

y intercept ( 0, 3/2)

Pls help I really need it

Answers

Answer:

x = 20

p =54

y= 54

Step-by-step explanation:

2x-4 = 96-3x

5x = 100

x = 20

2x-4 = 40-4 = 36

(180 - (36 x 2))/2

(180-72)/2

108/2

p = y =54

2.526 - 3.628 =
i know there is a calculator for this but i need to show it in work so PLEASE RESPOND! (Thanks if u do)

Answers

Answer:

1.102

3 . 6 2 8

- 2 . 5 2 6

1 . 1 0 2

So 2.526 - 3.628=-1.102

-1.102 is your answer

14. A pair of cars, 280 miles apart, begin at the
same time to run toward each other. If car A from
city A runs at a rate that is 10 mph faster than car
B from city B, and if they meet 2 hours later, how
far is the place they meet away from city A?
Please help

Answers

Answer:

Step-by-step explanation:

hi malak

8 True or False: The substitution method is a method of solving systems of equations by adding equations together in such a way that the variables are set aside, one by one.

Answers

Answer: I personally think it's true but I am not for sure

Step-by-step explanation:

How do I find the measurement indicated in these problems.

Answers

Answer:

13. In parallelograms, adjacent angles are always supplementary. This means that angles that are right next to each other will always add up to 180.

So for this one, the two given angles add up to 180, creating this equation:

7x - 4 + 9x - 8 = 180

this can be simplified to x = 12

substitute x into <D to get <D = 100

since we know that <D and <A are supplementary, subtract m<D from 180 to get <A = 80

14. In parallelograms, opposite angles are always congruent, this means that in this problem <C and <A are equal to each other

so we can create an equation: 9x + 13 = 11x - 3

solve this to get x = 8

substitute 8 into <C's equation to get <C = 85

Since <C and <B are adjacent, subtract <C from 180 to get <B = 95

15. <J and <L are opposite to each other, so we know they are congruent

this means we can create an equation: 2 + 24x = 26x - 2

solve this to get x = 2

plug this into the equation for <J

you get <J = 50

16. In parallelograms, lines that are opposite to each other are always congruent. So this means that lines JM and KL are congruent

this means that we can create an equation of 2x - 15 = x - 4

solve this to get x = 11

plug in x to the equation for KL

you get KL = 7

ANSWER THESE FAST PLZ

Answers

Answer:

1. -3

3. -11

5. 2

7. 5

9. 13

11. -13

13. 11

15. 10

Mr. Smith earns $375 per week as a salary plus he earns a 4% commission. If his total sales were $4,200, how much will he earn this week?

Answers

Answer:

$4,575

Step-by-step explanation:

these are two different questions

Answers

Hi sorry I don’t know how to do that but can u tell me how do add 2 picks in a question

Kim accidentally leaves the water hose running for half a day the graph represents the loss of water during that time ​

Answers

fifijfjgjgfghj

Step-by-step explanation:

Answer:

We need to see the graph to help you

Step-by-step explanation:

Solve the system.

y=6x-1

y=3x-4

The solution is _____
.

Explain your choice of method.

Answers

Answer:

(-1, -7)

Step-by-step explanation:

Solve by graphing.

Graph the two equations together.

The lines intercept at (-1, -7).

Hope this helps.

Answer:

Solution: (-1, -7)

Step-by-step explanation:

6x - 1 = 3x - 4

Subtract 3x from both sides;

3x - 1 = -4

Add 1 to both sides;

3x = -3

Divide both sides by 3;

x = -1

Substitute x into the equation;

y = 3(-1) - 4

y = -3 - 4

y = -7

5/9+7/9 in simplest form

Answers

Answer:

1 1/3   one and one third

Step-by-step explanation:

1 1/3

Step-by-step explanation:

This is because 5/9 + 7/9 = 12/9. 12 is a value greater than 9, so you can take one value of 9 out of 12 and get 1 3/9. 1 3/9 can be simplified to 1 1/3 by dividing the denominator and numerator by 3.

Leaving you with 1  1/3

The number of pizzas is in a proportional relationship to the weight of the shredded cheese toppings. When​ shredded, a​ 50-lb block of cheese is enough to make 150 large pizzas. Find the constant of proportionality. Use pencil and paper. Explain how you can use a constant of proportionality to find how much cheese is on one slice of pizza if there are 8 slices per pizza.

Answers

Answer:

3

Step-by-step explanation:

There will be 1/24 cheese on 1 slice of pizza and the constant of proportionality is 1/3

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another.

Given that, a​ 50-lb block of cheese is enough to make 150 large pizzas.

For 150 pizzas there are 50 lb cheese, so for 1 pizza = 50/150 = 1/3

Therefore, the constant of proportionality is 1/3

There are 8 slices in one pizza, therefore cheese for each slice = 1/3*1/8 = 1/24

Hence, There will be 1/24 cheese on 1 slice of pizza and the constant of proportionality is 1/3

For more references on proportionality, click;

https://brainly.com/question/8598338

#SPJ2

Two angles are supplementary if their measures add up to 180°. If one of two supplementary angles is (3x + 7)° while the other is (5x - 11), then x =
A.25
B.21
C.24
D.20
E.23

Answers

Answer:

E. 23

Step-by-step

3x + 7 + 5x - 11 = 180

* add 3x and 5x

8x + 7 - 11 = 180

* do 7-11

8x - 4 = 180

* add 4 to both sides to cancel it out

8x = 184

* divide 8 on both sides to get x alone

x = 23

Which rectangles similar to the one below?

Answers

Answer:

D

Step-by-step explanation:

because half of 8 and 14 is 4and 7

What is the value of the expression of -(-4)

Answers

Answer:

4

Step-by-step explanation:

two negative signs are equal to a positive sign

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