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 ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 12 MINS!

Answers

Answer:

65.214

Step-by-step explanation:

0x100=0

6x10=60

5x1=5

2x(1/10)=0.2

1x(1/100)=0.01

4x(1/1000)=0.004

add all of these values up. hope this helps!

(03.02) If g(x) = x2 + 2, find g(3). (2 points) Group of answer choices 9 8 11 6

Answers

this answers is 8 am I right

Find the area of the shape.

Answers

Answer:

27 π

Step-by-step explanation:

Notice that the shape is 3/4 of a circle with radius 6. So we need to find 3/4 of the area of a circle with radius 6. The area of a circle with radius 6 is [tex]\pi r^2 = \pi \cdot 6^2 = 36\pi[/tex].

3/4 of this is [tex]\frac{3}{4} \cdot 36\pi = \boxed{27\pi.}[/tex]

A line passes through (-3, -2) and is perpendicular to 3x - 2y = 7.

What is theFind the image of A(6, -4) after it is reflected over the line y = - 2, then reflected over the line x = 1.

(-4, -4)
(-4, 0)
(6, 2)
(-4, 6)

Answers

I think is it (-4,6) is the answer

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

1. 5/3 is not equal to 3/5.

2. 7-(4+3) is equal to (4+3)-7

3. (x + y) + 1 is equal to x + (y + 1)

Step-by-step explanation:

1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5

2. If you solve both of them, they are equal because 7-7 = 7-7

3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.

Plz mark brainliest thx

#1

[tex]\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}[/tex]

Here 5[tex]\neq 3[/tex]

Hence inequality holds

#2

[tex]\\ \sf\longmapsto 7-(4+3)=(4+3)-7[/tex]

[tex]\\ \sf\longmapsto 7-7=7-7[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

Equality holds

#3

[tex]\\ \sf\longmapsto (x+y)+1=x+(y+1)[/tex]

Equality holds

Done

A student earned 80% on a math test if she got 20 questions correct how many problems were on the test

Answers

Answer:

16

Step-by-step explanation:

80% of 20 is 16

Answer:

25

Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.

Shane is following an English recipe for scones. The recipe calls for 1.2 kilograms of flour. How many pounds of flour, to the nearest tenth of a pound, does he need?

Answers

Answer:

Bilemedim fotoğrafını çeksen daha iyi olur kankacim çok güzel birisin

There are 2.6 pounds of flour.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The recipe calls for 1.2 kilograms of flour.

Now,

Since, The recipe calls for 1.2 kilograms of flour.

We know that;

⇒ 1 kg = 2.2 pounds

So, 1.2 kg = 1.2 × 2.2 pounds

               = 2.6 pounds

Thus, There are 2.6 pounds of flour.

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ2

Solve 2x^2 - x ≥ 15. Show your work

Answers

Answer:

x ∈ 〈-∞,-5/2]∪[3,+∞〉

Step-by-step explanation:

2x²-x-15 ≥ 0

2x²+5x-6x-15 ≥ 0

x(2x+5)-3(2x+5) ≥ 0

(2x+5)(x-3) ≥ 0

so

2x+5 ≥ 0

x-3 ≥ 0

2x+5 ≤ 0

x-3 ≤ 0

solve the equation

x ≥ -5/2

x ≥ 3

x ≤ -5/2

x ≤ 3

x ∈ [3,+∞〉

x ∈ 〈-∞,-5/2]

so x ∈ 〈-∞,-5/2]∪[3,+∞〉

1/4 of 90. …………………????

Answers

Answer:

22.5

Step-by-step explanation:

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.

Answers

Answer:

13/15

Step-by-step explanation:

15 is the least common denominator,

so 1/5 = 3/15

2/3 = 10/15

3/15 + 10/15 = 13/15

It can't be reduced.

Answer:

Step-by-step explanation:

The lowest common multiple of these 2 denominators is 3 * 5 since 3 and 5 are prime to each other. (They share no common factor.)

1/5 * 3/3 = 3/15

2/3 * 5/5 = 10/15

3/15 + 10/15 = 13 / 15

Why is it helpful to use the rational zero theorem in finding the zeros of polynomial function? Explain your answer.

Answers

Answer:

The rational roots theorem is a very useful theorem. It tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

Hope that helps.

Answer:

Finding the Zeros of Polynomial Functions The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function. Given a polynomial functionuse synthetic division to find its zeros.

Step-by-step explanation:

i hope it helpful:)



2x+5y>−6
−4x+3y≤2


Is (-1,7)(−1,7)left parenthesis, minus, 1, comma, 7, right parenthesis a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

Khan told me ;p

Answer:

No

Step-by-step explanation:

x + 2y = 7
x - y = 1

Solve for x and y?​

Answers

Answer:

y=2

x=3

Step-by-step explanation:

make x - y = 1 into x= y + 1

put that wherever x is in the other equation

so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2

then substitute 2 into the y in the equation x - y = 1 and you get x = 3

METHOD OF ELIMINATION:

Given pair of linear equations are:

x+2y= 7 – – – Eqn(i)

On comparing with a1x+b1y+c1 = 0

a1 = 1, b1 = 2, c1 = -7

x-y = 1 – – – Eqn(ii)

On comparing with a2x+b2y+c2 = 0

a2 = 1, b2 = -1 , c2 = -1

a1/a2 = 1/1 = 1

b1/b2 = 2/-1 = -2

c1/c2 = -7/-1 = 7

We have,

a1/a2 ≠ b1/b2 ≠ c1/c2

So, Given pair of linear equations in two variables have a unique solution.

Now,

On Subtracting eqn(ii) from eqn(i) then

x+2y = 7

x-y = 1

(-)

_______

0 +3y = 6

_______

⇛ 3y = 6

⇛ y = 6/3

⇛ y = 2

On Substituting the value of y in (1) then

⇛ x-2 = 1

⇛ x = 1+2

⇛x = 3

Answer: Therefore , the value of x and y with be (3,2) respectively.

Additional comment:

If a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are pair of linear equations in two variables thenIf a₁/a₂ ≠b₁/b₂ ≠ c₁/c₂ then they are Consistent and independent lines or Intersecting lines and they have a unique solution.If a₁/a₂ = b₁/b₂ = c₁/c₂ then they are Consistent and dependent lines or Coincident lines and they have infinitely number of many solutions.If a₁/a₂ =b₁/b₂ ≠ c₁/c₂ then they are Inconsistent lines or Parallel lines lines and they have no solution.

help ASAP please again​

Answers

she got a 110 score

explanation: sorry ignore just had to do 20 characters

simplify as much as possible please u get 50 points thank you

Answers

36 = 4y + 8
-8 -8
28 = 4y
/4 /4
7 = y

y = 7

Answer:

y = 7

Step-1: Subtract 8 both sides

⇒ [tex]36 = 4y + 8[/tex]

⇒ [tex]36 - 8 = 4y + 8 - 8[/tex]

⇒ [tex]28 = 4y[/tex]

Step-2: Divide 4 both sides

⇒ [tex]28 = 4y[/tex]

⇒ [tex]\frac{28}{4} = \frac{4y}{4}[/tex]

⇒ [tex]7 = y[/tex]

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Complete the table to determine the values of m and b.

Answers

Answer:

A

Step-by-step explanation:

6c = 2p – 10. write the equation in function notation, where c is the independent variable.

Answers

Answer:

  p(c) = 3c +5

Step-by-step explanation:

Effectively, you want to solve for p.

  6c = 2p -10

  6c +10 = 2p

  3c +5 = p

  p(c) = 3c +5 . . . . function notation (p is a function of c)

(-14,-3) (6,10) find the slope and explain
please

Answers

Answer:

The slope would be 13/20

Step-by-step explanation:

10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)

hope this helps!!

what is the measure of ∠x?

Answers

From figure we have , ∠GFH = 80°  and ∠HGF = 60° , ∠GFH = 40° and ∠GFE = x°

Now,

In ∆HGF

Since Sum of the angles of a triangle is 180° :  

∠GFH + ∠HGF + ∠GFH = 180°

80° + 60° + 40° = 180°

14° + 40° = 180°

54° = 180° ………..(1)

∠GFH + ∠GFE = 180° [Linear pair]

80° + x° = 180°

x° = 180°-80°

x° = 100°

Hence the value of ∠x is 100°

Among the given options option (D) 100° is correct.

also read similar questions: EFG and ∠GFH are a linear pair, m∠EFG 3n+23, and m∠GFH 4n+17. What are m∠EFG and m∠GFH?...

https://brainly.com/question/1617686?referrer

Angle EFG and gfh are a linear pair the measure of EFG equals 4n + 25 and the measure of gfh equals 3n + 15 what are the measures of EFG and the measure of gfh...

https://brainly.com/question/4787517?referrer

How to find zeros of a quadratic function
example
f(x)=x^3+2x^2-25x-50

Answers

Answer:

Step-by-step explanation:

x=2,−5,5

if any doubt leave a comment

Give BRAINLIEST

Find the gradient of the line segment between the points (10,-4) and (6,-16).

Answers

The answer is -3 . Use the gradient formula y2-y1/x2-x1

if 10 apples cost $1 how much would it cost per Apple

Answers

Answer:

10 cents per apple

Step-by-step explanation:

1 divided by 10 which is 1. And move the decimal one place to the left, leaving you with .1 or 0.1 or 0.10

Can someone help me on this question? The question is down below...

Answers

Answer:12m

Step-by-step explanation:

Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2

15^2 = 9^2 + x^2

225-81 = x^2

144 = x^2

x = 12m

the length of a is 12 m

What is the answer to X=7-3y And 2x-4y=-6



I need it

Answers

Answer:

x = − 3 y + 7

Step-by-step explanation:

Reorder  7  and  − 3

Solve the following equation algebraically: 3 x squared = 12 a. Plus-or-minus 3 b. Plus-or-minus 2 c. Plus-or-minus 3.5 d. Plus-or-minus 1.5

Answers

Answer:

b)  ±2

Step-by-step explanation:

3x² = 12

divide each side by 3 to get:

x² = 4

x = ±2

The value of the equation 3x² = 12 is x = ±2.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 6 is an equation.

We have,

3x² = 12

Divide 3 on both sides.

x² = 4

x = ±√4

x = ±2

Thus,

The value of x is  ±2.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Hello please answer everything carefully :)

Answers

Answer:

Line 3

Step-by-step explanation:

Line three should be

2*3*sqrt(5)-3sqrt(5)

can someone help me

Answers

i believe the answer is 6

Answer:

The answer is 6 cause khan acadamy

Step-by-step explanation:

Problem 1: Solution to the system of equations
A line is parallel to the line for the equation: -9y = 2x + 35.
What is the slope of the parallel line?

Answers

Answer:

-2/9

Step-by-step explanation:

if the line is parallel it has the same slope.

The equation can be written as y = -2/9x - 35/9

so the slope is -2/9

Y=mx+b
mx= slope
b= y intercept


8-kg lead brick falls from a height of 1.6 m.
(a) Find its momentum as it reaches the ground.
Ikg-m/s
(b) What Impulse is needed to bring the brick to rest?
N-s
(c) The brick falls onto a carpet, 2.0 cm thick. Assuming the force stopping it is constant, find the average force the carpet exerts on the brick
N
(d) If the brick falls onto a 6,0 cm foam rubber pad, what constant force is needed to bring it to rest?

Answers

The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.

The correct responses are;

(a) 44.8 kg·m/s(b) 44.8 N·s(c) 6,278.4 N(d) 2,092.8 N

Reasons:

The velocity of the brick as it reaches the ground is given by the formula;

v² = 2·g·h

v = √(2·g·h)

Where;

h = The height of the brick, h = 1.6 m

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s

(a) Momentum = Mass × Velocity

The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s

(b) Impulse = Force × Δt = Mass × Δv

Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s

Therefore, the impulse = 44.8 N·s

(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m

Initial energy in the brick, E = m·g·h

Which gives;

E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J

Energy = Force × Distance

[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]

The average force the carpet exerts, F = 6,278.4 N

(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;

Distance = 6.0 cm = 0.06 m

Therefore;

[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]

The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N

Learn more about force and energy here:

https://brainly.com/question/6366228

https://brainly.com/question/528149

A 15 foot slide casts a shadow that is 25 feet long. A tree is standing next to the slide and casts a shadow that is 40 feet long. How tall is the tree?

Answers

Answer:

30 feet

Step-by-step explanation:

The height of the tree is 24 feet casting a shadow of 40 feet long.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Assuming the height of the tree to be x feet.

15 : 25 : : x : 40.

15/25 = x/40.

25x = 600.

x = 24

learn more about proportion here :

https://brainly.com/question/7096655

Other Questions
2(x-3) < 3(2x+2) How do I solve for x Which model shows the greater rate of change During the 2008 recession in the United States, the Federal Reserve reduced interest rates to nearly zero. What type of policy was this action?expansionary fiscal policyBcontractionary fiscal policyexpansionary monetary policyDcontractionary monetary policy Which of these nations grant the fewest weeks of paid leave for new mothers?a. Itlayb. Canadac. United Statesd. Mexico 2b-3(1+b)=-3(b+7) help Rewrite in an active voice Recently, talks have been conducted by the administration to determine the amount of aid to send to foreign countries. Previously, the countries were sent nearly $1 million in aid each year, but it was decided by the administration that countries would receive at least half that amount this year. did the deadliest hurricanes happen recently or in the distant past The equation of a line is given below.2x + 5y = -5Find the slope and the y-intercept.Then use them to graph the line. Determine whether it is possible to form a trianglewith side lengths 5, 7, and 8.O yesno you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is the tip if the rate is 15% The expression 3r - 6 can be written as _____. 3(r - 2) 3(r - 6) 3(3r - 6). Question 8Olga is thegirl in my class.O prettiestO prettyamost prettiestmore prettyPrevious Hurry plz!!! graph y= 5/3x - 9 Which substances will make a salt when combined? Vinegar and tea Soda and wine Soda and ammonia Fertilizer and detergent 5. Linda earns $95 per day. If she works of a day, how much will she earn? guys cqn you help me please simplify 3q+3q+4qExplanation and working out please 100 POINTS PLEASE HELP1. What is the molar mass of NaOH?2.How many atoms are in 3.35 moles of Aluminum?3.How many moles of CO2 gas are in a 101.25 L container filled with CO2 gas?4.What is the mass of 13.7 moles of N2 gas?5.How many moles are in 78.5 molecules of CaCO3? a cookie recipe included 2/3 cups of sugar for 12 cookies, how many cups of sugar will you need if you wanted to make 42 cookies What does the contest between Athena and Poseidon consist of?Question 3 options:Athena and Poseidon will race to the top of the hillAthena and Poseidon will show off their strength in a tug-of-war matchAthena and Poseidon will offer a gift to the people of the city. Whoever offers the best gift wins.Athena and Poseidon will have a swimming match to the furthest island and back