You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?

Answers

Answer 1

Answer:

49 hot dogs, 77 sodas

Step-by-step explanation:

2.25h + 1.5s = 225.75

h + s = 126, so s = 126 - h. Substitute that into the first equation.

2.25h + 1.5(126 - h) = 225.75

Solve for h

2.25h + 189 - 1.5h = 225.75

0.75h = 36.75

h = 49  So they sold 49 hot dogs

h + s = 126, so 49 + s = 126, s = 77


Related Questions

I need helppp pleaseee

Answers

Answer:

One solution

Step-by-step explanation:

Start by simplifying the equation.

Distribute 3 to 4 and 2 to get 12x + 6Combine 8x and -2x to get 6x

Then you have 12x + 6 = 6x + 24,

Continue to solve

Subtract 6 from the left and right to get 12x = 6x + 18Subtract 6x from both sides to get 6x = 18Divide both sides by 6 to get x = 18

Because x is equal to one digit and not x = x or 3 = 5, you have one solution

                                                            (Infinite) or (none)

Hope this helps!

Can a right angle be formed by acute angles?

Answers

Answer:

Yes, 2 or more acute angles can be in a right angle based on the degree.

Step-by-step explanation:

A right angle is 90 degrees so any acute angle would be less than 90 degrees which means that there can be multiple acute angles based on the degrees. There can be 2 or more acute angles based on degrees that lead up to 90 degrees in total.

Question 2 of 5
-64
O A. - 16
O B. -4
O C. 4 or -4
OD. -8

Answers

Answer:

B.-4

Step-by-step explanation:

Hope it help!!!!!!

Solve each system of linear equations by elimination.

X-6y=7
-x+6y= -7 -​

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

x-6y=7

-x+6y=-7

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

0=0

infinitely many solutions.

In the figure given below CP=x+3, PA=3x+19, CQ=x and QB=3x+4 then, what value of x will make PQ || AB?

Topic:CBSE board Class 10
Correct answer will be mark as brainliest.​

Answers

Given that

PQ || AB

CP = x+3

PA = 3x+19

DC = x+3

CA = x

QB = 3x+4

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (3x+19) / (x+3) = (3x+4) / x

On applying cross multiplication then

⇛ x(3x+19) = (3x+4)(x+3)

⇛ 3x²+19x = 3x(x+3)+4(x+3)

⇛ 3x²+19x = 3x²+9x+4x+12

⇛ 3x²+19x = 3x²+13x+12

⇛ 3x²+19x-3x²-13x = 12

⇛ (3x²-3x²)+(19x-13x) = 12

⇛ 0+6x = 12

⇛ 6x = 12

⇛ x = 12/6

⇛ x = 2

∴ , x = 2

Answer: The value of x for the given problem is 2

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

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Use a Quadratic formula to solve for X

3x^2+9x=-4

Round to the nearest hundreth.

Answers

The answer should be X= -9 -/33\6
That should by the answer but I couldn’t find how to round it up sorry

help me plsssssssssssssssssssssssss

Answers

when -3 - 2m < 0 => -2m < 3 => m > -3/2

ANSWER: C

Ok done. Thank to me :>

John solves the equation 5(x-3)+4=18. which 2 choices could be his next step in solving the equation?
5x-15+4=18
5(x-3)=22
5(x-3)=14
5x-13+4=18

Answers

His 2 choices are 5x-15+4=18 and 5(x-3)=14

Answer:

5x-15+4=18

technically there's only one answer because you do parentheses first but if you did do parentheses first then the other answer could be

5(x-3)=14

Solve V = twh for w.

Answers

Answer:

w = V/lh

Step-by-step explanation:

Given equation:

V = lwh

Solve for w:

V/lh = lwh/lh               Divide both sides by the lh to isolate the wV/lh = w                      Cancel same variablesw = V/lh                      Swap left and right sides

Answer:

V/lh

Step-by-step explanation:

Given,

V = lwh

Here we know

V = volume

l = length

w = width

h = height

Now,

On solving for w

V = lwh

V = l × w × h

V/l = w × h

V/l × h = w

V/lh = w

3. Luigi lives 10 miles from work and rides his fancy Segway there each day. He rides past one
block every 45 seconds. Each block is 360 feet long. What is the rate, in feet per second at
which Luigi rides his Segway?
А
36 feet per second
B
80 feet per second
с
4.5 feet per second
D
8 feet per second

Answers

D
Method:
360/45=8
Tadaaaaa

In the diagram below B is the midpoint of AC if AB equals 2X and BC equals X squared -24 find the value of X and the length of AC

Answers

Answer:

  x = 6

  AC = 24

Step-by-step explanation:

The midpoint divides the segment into two congruent parts.

  AB = BC

  BC -AB = 0

  x^2 -24 -2x = 0

  (x -1)^2 = 25 . . . . . . add 25, write as a square

  x = 1 +√25 = 6 . . . . only the positive solution is of interest.

AC = 2(AB) = 2(2x) = 4(6) = 24

The value of X is 6, and the length of AC is 24 units.

If B is the midpoint

AB=BCx²-24=2xx²-2x-24=0x²-6x+4x-24=0(x-6)(x+4)=0x=6,-4

Distance is positive

x=6

AC

2(2x)4x4(6)24

C.
Find the 4th term in the expansion of (y + 2)

Answers

what is the binomial raised to? you can’t do this problem without it

Please help. Picture uploaded below.

Answers

Answer: The answer is the number of each type of topping ordered.

Rich borrowed $5000 at a 7% interest rate for 6 years. What was the total interest? Enter your answer in the box. Hint: Use the formula I= P*R*T where I= Interest Earned/Owed P= Principal R= Rate T= Time

Answers

Answer:

$700.000 is the interest

Step-by-step explanation:

hope the answer helps

Simple interest is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

The total interest is $2100.

What is simple interest?

It is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

We have,

P = $5000

R = 7%

T = 6 years

SI = P x R x T / 100

SI = 5000 x 7 x 6 / 100

SI = 50 x 7 x 6

SI = 50 x 42

SI = $2100

Thus,

The total interest is $2100.

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Harry spends $7.83 on 3 bags of walnuts. The bags all cost the same amount. What is the cost of each bag?

Answers

Answer:

i think the cost of each bag is $2.61

Step-by-step explanation:

suppose the cost of each bag is $x

7.83 = 3x

7.83/3 = x

2.61 = x

so the cost of each bag is $2.61

2.61$ if you take 7.83 and divide it by 3 then you will have your answer.

30. Ben purchases a fish tank that is shaped like a
cube and will hold 216 cubic inches of water. What
are the dimensions (length, width, and height) of the
fish tank?

Answers

Answer:

the answer should have equal sides

Step-by-step explanation:

the answer 36 for the length, width, and height because if a cube has 6 sides each sould have the same amount of cubic inches.

Robert and Tony love to read. Robert reads 30 pages the first day and 20 pages each day after that. Tony reads 40 pages the first day and 15 pages each day after that. Will the boys ever read the same amount of pages? If so, how many days will it take them to read the same number of pages? A. Yes. They will read the same amount of pages in 3 days. B. Yes. They will read the same amount of pages in 5 days. C. Yes. They will read the same amount of pages in 6 days. D. No. They will never read the same amount of pages.

Answers

Answer:

Yes they will read the same amount of pages in 3 days

Step-by-step explanation:

Because when you do the math they add up to the same amount of pages.

The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Robert reads 30 pages the first day and 20 pages each day after that.

And, Tony reads 40 pages the first day and 15 pages each day after that.

Now,

Let the number of days for same pages read = x

So, We can formulate;

For Robert;

Number of pages = 30 + 20x

For Tony;

Number of pages = 40 + 15x

For equal days, we get;

⇒ 30 + 20x = 40 + 15x

Solve for x as;

⇒ 20x - 15x = 40 - 30

⇒ 5x = 10

⇒ x = 2

Thus, The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

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when x varies directly as 2y and x=6 when y=20 find y when x=9

Answers

Answer:

x=k×2y

substitute x for 6 and y for 20

6=2(20)×k

6=40k

Divide both sides by the coefficient of k

6/40=40k/40

3/20=k

To find y, when x=9

9=3/20×2y

9=6y/20

cross multiply

9×20=6y×1

180=6y

Divide both sides by the coefficient

y=30

A worker at a clothing store earns a 20% commission on a sale of $85.00. How much is the commission

Answers

Answer:

16$

Step-by-step explanation:

How many complex roots does the polynomial equation below have? x7 - 3x5 + 4x2 - 1 = 0

Answers

Answer:

4 complex roots

Step-by-step explanation:

The easiest way is to use a graphing tool and solve it graphically.

We did it with Desmos and it shows 3 real roots, see below.

The polynomial is of degree 7, hence it should have 7 roots.

Since there are 3 real roots, the remaining ones are complex, so there are 4 complex roots

Answer:

4 complex roots

Step-by-step explanation:

Find the solution(s) for x in the equation below.
x2 – 25 = 0

Answers

Answer:

x=5,-5

Step-by-step explanation:

24 kg of tomatoes cost $216 how much would one kg cost

Answers

Answer:

$9

Step-by-step explanation:

Cost of 24 kg of tomatoes = $216

Cost of 1 kg of tomatoes = 216/24

                                 = $9

Hope it helped you!

Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point.

3x + y = -2

y = 2x + 3

Answers

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

Hedi Earns 3% commission on the jewelry she sells each week last week she sold $730 worth of jewelry how much commission did she make

Answers

730*0.03=21.9

She makes $21.90

The graphs below have the same shape. What is the equation of the graph of gx)?
A. g(x) = (x+4)2
B. g(x) = x2 - 4
C. g(x) = x2 + 4
D. g(x) = (x - 4)
NO LINKS YOU BOTS

Answers

Answer:

the answer should be A Hope this helps!

y-2=-7/5(x--2). Please include explanation when giving your answer. I'm really struggling with this. 20 points for whoever can answer this.

Answers

Answer:

[tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Step-by-step explanation:

First, you have to simplify [tex]\frac{-7}{5(x-2)}[/tex] to become [tex]-\frac{-7}{5(x-2)}[/tex]

Next, you multiply both sides by [tex]5(x-2)[/tex] to make [tex]y\cdot \:5\left(x-2\right)-2\cdot \:5\left(x-2\right)=-\frac{7}{5\left(x-2\right)}\cdot \:5\left(x-2\right)[/tex]

After that, you need to simplify again to become [tex]y\cdot \:5\left(x-2\right)-10\left(x-2\right)=-7[/tex]

Now, expand [tex]5(x-2)-10(x-2)[/tex] to become [tex]5xy-10y-10x+20=-7[/tex]

Then, add 10y to both sides [tex]5xy-10y-10x+20+10y=-7+10y[/tex]

Next, you simplify to create [tex]5xy-10x+20=-7+10y[/tex]

After that, subtract 20 from both sides to make [tex]5xy-10x+20-20=-7+10y-20[/tex]

Now, simplify again to get [tex]5xy-10x=10y-27[/tex]

Next, factor [tex]5xy-10x[/tex] to get [tex]5x(y-2)[/tex]

Finally, divide both sides by [tex]5(y-2)[/tex] to get [tex]\frac{5x\left(y-2\right)}{5\left(y-2\right)}=\frac{10y}{5\left(y-2\right)}-\frac{27}{5\left(y-2\right)};\quad \:y\ne \:2[/tex]

If you did it right your final answer should be [tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Hope this helps explain it!

8,17,26 find the 31st term

Answers

Answer:

T31= 278

Step-by-step explanation:

formula is Tn=a +(n-1)d

T31= 8+(31-1)9

T31=8+(30)9

T31=8+270

T31=278

Which function is represented by the graph?
O f(x) = (x – 11 + 3
O f(x) = 5x + 11 – 3
O f(x) = |x – 11 – 3
Of(x) = x + 1] + 3

Answers

Answer:

b

Step-by-step explanation:i took the quiz

The ratio of cats to dogs seen at CyFair Animal Hospital is 2 to 5. If Dr. Blue, Dr. Ross, and Dr. Lavigne see 40 dogs altogether, how many cats AND dogs did they see in all? Explain your answer.



Please ​

Answers

The number of cats and dogs the doctor saw is 56.

Ratio expresses the relationship between two values. It shows the frequency that one value is contained another value. The sign of ratio is :.

The equation that can be used to determine the total number of dogs that the doctor saw is:

(ratio of dog / total number of dogs and cats) x total number of animals = number of dogs

5/7 x a = 40

Where a is the total number of dogs and cats

In order to determine the value of a, divide both sides of the equation by 7/5.

40 x 7/5 = 56

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what is the slope of the line?

Answers

Answer:

-8/3

Step-by-step explanation:

rise/run

rise: -8

run: 3

-8/3

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