Harry and Taylor are running a concession stand for a concert. Hot dogs at the concession stand cost $1.25 each and sodas cost $0.75 each. During one concert, the concession stand earns $352.50 after selling 380 total hot dogs and sodas. The following system of equations can be used to represent the sales at the concession stand where h represents the number of hot dogs sold and s represents the number of sodas sold. 1.25h + 0.75s = 352.50 h + s = 380​ Which ​of the following correctly describes the solution to the system of equations? Group of answer choices
a-135 hot dogs and 245 sodas were sold.
b- 45 hot dogs and 335 sodas were sold.
c- 33 hot dogs and 347 sodas were sold.
d- 125 hot dogs and 255 sodas were sold.

Answers

Answer 1

Answer:

a-135 hot dogs and 245 sodas were sold.

Step-by-step explanation:

Our equations are:

1.25h + 0.75s = 352.50

h + s = 380

Let's use substitution to solve for this system. In the second equation, let's write h in terms of s:

h + s = 380

h = 380 - s

Now, let's plug in 380 - s for h in the first equation:

1.25h + 0.75s = 352.50

1.25(380 - s) + 0.75s = 352.50

We can now solve for s fairly easily:

1.25(380 - s) + 0.75s = 352.50

475 - 1.25s + 0.75s = 352.50

0.5s = 122.5

s = 245 sodas

We can already see which answer choice will match: A, and that is our answer.

Answer 2

Answer:

a-135 hot dogs and 245 sodas were sold.

Step-by-step explanation:

1.25h + 0.75s = 352.50

h + s = 380

h = 380 - s

1.25(380- s) + 0.75s= 352.50

475 - 1.25s + 0.75s = 352.50

122.5 = 0.5s

s = 245

h = 380 - 245

h = 135


Related Questions

This is found by multiplying pi by the radius squared

Answers

Area of a circle is found by multiplying Pi times the radius squared. The radius of a circle is a segment that has its end points on the circle, and on the center of the circle, or you can think of it like, it goes halfway across the circle

Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
8 cm
5 cm

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Lengths of what you need a photo or something
We need a photo to answer that question

Which of these numbers rolands to 7.6?
7546
• 7630
7670
7720

Answers

Answer:

do you still need the answer?

Step-by-step explanation:

What is the following product ?

Answers

Answer:

b

{b}^{2} [/tex]

the third choice. b i’m pretty sure

What is the measurement of A, B, C, D, W, X , Y and Z
please help !

Answers

Hey!!!

Here's your answer:

<A=7x+40

<B=60 degree

7x+40+60=180( sum of angle in straight line)

or,7x+100=180

or,7x=180-100

or,7x=80

or,X=80/7

X=11.42

Now,

Replacing value,

<A=7x+40

=7*11.42+40

=79.94+40

= 119.94 degree

<B=60 degree

<C=<A[ being vertically opposite angles]

<C=119.94 degree

<D=<B[being vertically opposite angles]

<D=60 degree

<W=<A[ being corresponding angles]

<W=119.94 degree

<X=<B[being corresponding angles]

<X=60 degree

<Y=<W[being vertically opposite angles]

<Y=119.94 degree

<Z=<X[being vertically opposite angles]

<Z=60 degree.

Hope it will help you

Good luck on your assignment

Y=1/2x+13

Equation of a parallel line ?

Equation of a perpendicular line ?

Explain how you know if two lines are parallel or perpendicular based on their equations



Answers

Answer:

1) y=1/2x+12

2)y=-2x+13

3) Parallel lines have same slope, different y intercept and perpendicular lines have opposite reciprocal slopes.

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Y = mx + b is the slope-intercept form of a straight line where  m = the slope of the line and b is the y-intercept.

Parallel lines have the same slope so the equation of a line parallel to

y = 1/2x + 13 could be  y =1/2x + 10 as they have the same slope of 1/2.

Equations which are perpendicular:

If the slope of one  is m then the slope of the perpendicular equation is -1/m.

So for y = 1/2 x + 13  an equation perpendicular could be y=  -(1 / 1/2) + 13

= y = -2x +  13

Bruce’s hourly wage increased from $25.50 to $30.60. What rate of increase does this represent?

Answers

Hello !

((new value - old value) / old value) × 100

((30.60 - 25.50) / 25.50) × 100

= (5.10/25.50) × 100

= 0.2 × 100

= 20

→ The rate of increase is 20%

× × i hope i helped you ! × ×

Andy runs the same number of miles, x, every day. His total distance run for one week is less than 60 miles. Which inequality represents how many miles Andy
runs each day?
A. 7+ x <60
B. 7 + x>60
C. 7x > 60
D. 7x < 60
Help meeee

Answers

Answer:

D

Step-by-step explanation:

Happy I could help!

(-5x^2+2x+6)-(9x^2+2x+9)+(-6x^2+5x-3) simplified

Answers

Answer:

− 20 x ^2 + 5 x − 6

Step-by-step explanation:

Answer:

[tex]-20x^2+5x-6\\[/tex]

Step-by-step explanation:

Start by removing the grouping symbols (parentheses) using the sign rules:

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

Then we re-order and combine like terms:

[tex]-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3=\\=-5x^2-9x^2-6x^2+2x-2x+5x+6-9-3=\\=-20x^2+5x-6[/tex]

Please answer correctly !!!! Will mark brainliest !!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

Well it can't be the bottom 2 because those are for range and this says to find the domain. How to find the domain you look at the first point and the last point. So in this case it would be -7 and 4 cause that's where the two points are. Does that make sense?  

Hope I helped you!

PLZ HELP!

Robert sketches two rectangular prisms, A and B. Prism A's side lengths are 5 centimeters, 6 centimeters, and 7 centimeters. Prism B's side lengths were twice those of prism A's: 10 centimeters, 12 centimeters, and 14 centimeters. Robert says the surface area of prism B is twice the surface area of prism A. Is he correct? If he is not, how many times as great as prism A's surface area is prism B's surface area?


Robert is 1.___; the Surface area of A is ____ square centimeters. The Surface area of B is _____square centimeters. B's surface area is ____ times as great as A's.

Answers

Answer:

4 times greater

Step-by-step explanation:

Prism A

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 5*6+ 6*7+ 5*7)

SA = 2(30+42+35)

SA = 2(107)

SA =214

Prism B

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 10*12+ 12*14+ 10*14)

SA = 2(120+168+140)

SA = 2(428)

SA =856

Robert is not correct

856/214 =4

Prism B is 4 times greater

Answer:

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.

Step-by-step explanation:

To find the surface area of a rectangular prism, use this formula:

[tex]A=2(wl+hl+hw)[/tex]

Where w is the width, h is the height, and l is the length.

Substitute the values given for Prism A and Prism B into the formula to find each prism's surface area:

Prism A:

[tex]A=2(5 * 6+6 * 7+5 * 7)\\A = 2 (30 + 42 + 35)\\A = 214[/tex]

Prism B:

[tex]A=2(10*12+12*14+14*10)\\A = 2 (120 + 168 + 140)\\A = 856[/tex]

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.

Brayden is selling lemonade in glasses that hold 1/12 of a gallon. If he makes 2 7/8 gallons of lemonade, which expression shows how many glasses he can sell?

Answers

Answer: 2 7/8 divided by 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 7/8 divided by 1/12

the probability of a chance event is 0.3 it is _____ to happen when compared to a chance event with the probability of 0.4

A.both more likely and less likely

B.less likely

D.equaly likely

C.more likely

Answers

The answer is b less likely

Answer:

less likely

Step-by-step explanation:

Which best completes the following sentence?
Triangles are congruent if they have the same

Answers

Answer:

shape and size

Step-by-step explanation:

When two triangles are congruent, they are the same via the size of it such as the angles they have. If one triangle has 30-60-90, the other also has 30-60-90, with the same shape.

Answer:

Size and shape.

Step-by-step explanation:

Size and shape.

All three angles and all three sides are congruent.

PLS ANSWER THIS AS SOON AS POSSIBLE I RlY NEED HELP WITH IT AND IDK WHICH IS THE RIGHT ANSWER PLS HELP. ps the lines on graph your able to change to find the answer. And the photos are the same thing its just i couldnt fit it in one photo

Answers

Answer:B

Step-by-step explanation:

Thats right

Which choice is equivalent to the product below for acceptable values of x? PLEASE ANSWER

Answers

A.)

[tex] \sqrt{5 {x}^{2} } + 15x[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is equivalent to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

What are Equivalent values?

Equivalent value or dated value refers to the value of an original quantity at a specific point in time. The equivalent payment is made up of the initial amount plus any interest accrued up to the dated value date. When money is due or payable at separate times, it is impossible to compare them immediately.

How to solve?

Given hence solving [tex]\sqrt{5x} * \sqrt{x+3}[/tex] equation by multiplying both terms

=[tex]\sqrt{(5x*x+5x*3}[/tex]

=[tex]\sqrt{5x^{2} +15x}[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is similar to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

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Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4? Add -15 and 9. Divide 4 by -15. Subtract 4 from 3. Multiply 9 by 3.

Answers

Answer:

add -15 and 9

Step-by-step explanation:

I NEED HELP (I don't have all day to wait for an answer.)
What is the average/mean number of children in Student's Families?

Answers

Answer:

3

Step-by-step explanation:

Plz give me brain

Answer:

i think the answer is 1.2 or 1.7

you first need to add together all of the children and then divide by 6

In a 30-60-90 triangle, if the shorter leg is 12, the hypotenuse is

А
12/3
B
12/2
24
D
36

Answers

Hey there! I'm happy to help!

In a 30-60-90 triangle, the shorter leg is always 1/2 of the hypotenuse. This can be proven using many different methods and there a lot of interesting videos out there about it. This is useful in geometry, trigonometry, and more.

So, if we know that the shortest leg is 12, we can make the following equation. We will have h represent the hypotenuse.

1/2h=12

Now, we simply divide both sides by 1/2 (which is the same as multiplying both sides by two.

h=24

Therefore, the hypotenuse is C) 24.

I hope that this helps! Have a wonderful day!



Find \tan(\alpha)tan(α)tangent, left parenthesis, alpha, right parenthesis in the triangle.

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

\dfrac{24}{7}

7

24



start fraction, 24, divided by, 7, end fraction


(Choice B)

B

\dfrac{7}{24}

24

7



start fraction, 7, divided by, 24, end fraction


(Choice C)

C

\dfrac{24}{25}

25

24



start fraction, 24, divided by, 25, end fraction


(Choice D)

D

\dfrac{7}{25}

25

7



start fraction, 7, divided by, 25, end fraction

ANSWER IS: A) 24/7

Answers

Complete Question

Given the right triangle(SEE ATTACHED), find tan(α)

Answer:

(A) [tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

Step-by-step explanation:

In the given right triangle,

From Trigonometry, we know that:

[tex]\tan(\alpha)=\dfrac{Opposite}{Adjacent}[/tex]

We determine the unknown side using Pythagoras theorem.

Let the unknown side be x

[tex]25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7$ units[/tex]

Therefore:

[tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

The correct option is A

Answer:

ITS 7/25

Step-by-step explanation:

I dunno how to do this im just hoping people know the answer

Answers

Answer:

its always wrong

Step-by-step explanation:

any variable always has a holder of 1

so 01b doesnt equal 4

Answer:

coz it will be undefined

Step-by-step explanation:

coz it will be UNDEFINED

4/0=undefined

20 POINTS PLEASE HELP ME. last question

REASONING Consider the circles A, B, C, and D.
SO in
a. Without calculating, circle
has the greatest circumference,
Explain

Answers

Answer:

The answer is at least 360 degrees.

Step-by-step explanation: A circle can't have more that a 360 degrees!

Find the measure of angle ACE.Arc AB is 100 degrees,Arc AE is 120 degrees, and Arc De is 100 degrees.

60

80

40

100

Answers

Answer:

60 degrees

Step-by-step explanation:

The measure of the angle ACE is 60 degrees.

What is an Arc?

An arc is simply a part of the circumference of a circle or other curve.

Finding  the angle:

as we have arc AE is 120 degrees.

Then by the properties of the interior and the exterior arc, arc BD, which is angle ACE is 120/2=60 degrees.

Learn more about Arc:

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Two parallel lines are cut by a transversal as shown below

Answers

Answer:

<2 and <4 = 74 degrees

Step-by-step explanation:

<7=<1, alt exterior angles

<1=<3, opposite angles

<1+<2= 180

since angle one is 106 just subtract 106 from 180 and you get 74= <2

<2 and <4 are opposite angles so they are congruent

therefore, <2 and <4 = 74 degrees.

30 Points!! Please answer the question in full detail!!

Answers

Step-by-step explanation:

Let's find the equation of the line first.

x + 2y = 4

2y = -x + 4

y = -1/2 x + 2

Graph this line first. Now, we have to find which side of the line we will shade. Let's plug in (0, 0) to the original inequality. We get 0 + 0 ≤ 4, which is a true statement, so we will shade below the line. We will keep the line solid because the comparison is ≤, meaning all the points on the line are also solutions to the inequality. Hope this helps!

Which scatterplot has a correlation coefficient closest to r= 1?

Answers

Answer:

-1

Step-by-step explanation:

in statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1. To interpret its value, see which of the following values your correlation r is closest to: Exactly –1.

hope this help

Answer:

the first graph

Step-by-step explanation:

The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location. Which statement best describes the association between the number of days the food truck is in the same location and the number of customers who visit the food truck per day?

A.There is no association.
B.There is a nonlinear association.
C.There is a positive linear association. D.There is a negative linear association.

Answers

Answer: There is a positive linear association

Step-by-step explanation:

The best fitted statement is

There is a positive linear association.

What is Linear Association?

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

If one variable increases roughly at the same rate as the other variables change by one unit, the relationship is said to be linear.

The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location.

As, If the slope is positive, then there is a positive linear relationship, i.e., as one increases, the other increases.

If the slope is negative, then there is a negative linear relationship, i.e., as one increases the other variable decreases.

Here, the slope seems to be positive.

Thus, this is positive linear Association.

Learn more about Linear Association here:

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what is the inverse function of f(x)= x/x-2?​

Answers

Answer:

[tex]f^{-1}(x)=\frac{2x}{x-1}[/tex]

Step-by-step explanation:

Start by replacing f(x) by the variable "y" and solving for x in the equation:

[tex]f(x)=\frac{x}{x-2} \\y=\frac{x}{x-2}\\(x-2)\,y=x\\xy-2y=x\\xy-x=2y\\x(y-1)=2y\\x=\frac{2y}{y-1}[/tex]

Now do the final replacement using the inverse function notation, and replacing "y" with "x":

[tex]x=\frac{2y}{y-1} \\f^{-1}(x)=\frac{2x}{x-1}[/tex]

The inverse of the function f(x)= x/x-2 is; f-¹(x) = 2x/(x-1)

Since the function can be rewritten as;

y = x/x-2

By making x the subject of the function;

yx - 2y = x

x (y -1) = 2y

x = 2y/(y-1)

By swapping x and y; we then have;

y = 2x/(x-1)

The inverse function is therefore; f-¹(x) = 2x/(x-1)

Read more:

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Is LNM= OQP? If so, name the postulate that applies.
A. Congruent - SSS
B. Congruent - SAS
C. Might not be congruent
D. Congruent - ASA

Answers

Answer:

Answer B is correct

Step-by-step explanation:

Congruent - SAS

LM = OP (side)

MN = PQ (side)

<M = < P ( angle)

LMN TRIANGLE congruent to PQO TRIANGLE (SAS)

hope this helps

brainliest appreciated

good luck! have a nice day!

Yes, ΔLMN ≅ ΔPQO. The postulate that applies as congruent is SAS. The correct answer is B.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given,

side LM ≅ side OP

side MN ≅ side PQ

∠M = ∠P

As per the shown figure, we have two triangles consist:

LM = OP (side)

∠M = ∠P ( angle)

MN = PQ (side)

According to Side-Angle-Side criterion, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, ΔLMN congruent to ΔPQO.

Learn more about congruent triangles here:

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Help? This question confuses me.

Answers

Answer:

112°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

16x is an exterior angle of the triangle, thus

16x = 7x - 1 + 8x + 8, that is

16x = 15x + 7 ( subtract 15x from both sides )

x = 7

Thus

16x = 16 × 7 = 112

The exterior angle is 112°

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