At a concession​ stand, seven hot dog(s) and four hamburger(s) cost ​$15.00​; four hot dog(s) and seven hamburger(s) cost ​$18.00. Find the cost of one hot dog and the cost of one hamburger.

Answers

Answer 1

Answer:

hotdog $1, and hamburger $2

Step-by-step explanation:

D-is hot dogs, H-hamburgers

7D +4H = 15

4D +7H = 18

we got 2 equations with 2 unknown so we can solve

7D +4H = 15 multiply by 7

4D +7H = 18 multiply by -4

49D +28H = 105

-16D -28H = -72     add the two equations

33D= 33 so D=$1

go back to the first equation:

7*1 +4H =15 gives us 4H = 15-7; 4H = 8 so H= $2


Related Questions

Find the missing angle

Answers

Answer and Step-by-step explanation:

First, solve for the angle TRS, so that we can find the missing angle.

Subtract the two angles from 180 (because all triangle's angles add up to 180).

180 - 58 - 60 = 62.

By the vertical angles theorem, 62 is equal to the missing angle.

#teamtrees #PAW (Plant And Water)

Please help!!!! I need this to pass my classs

Answers

Answer:

a. Maximum

b. (-1, 4)

c. -3, 1

d. x = -1

Step-by-step explanation:

a. There is a maximum value of the function (highest point) because the parabola opens downward.

b. The vertex is the turning point--the point where the maximum is.

c. The roots (or "zeros") are the values of  x  where the curve intersects the x-axis

d. The axis of symmetry is a vertical line which passes through the vertex.


Plz help me well mark brainliest if correct.....????????

Answers

Answer:

Step-by-step explanation:

31  ,  b/c it's the most common

c 32

Step-by-step explanation:

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all the numbers between 20 and 40 which are multiples of 2 and 3

Answers

Answer:

21, 24, 27, 30, 33, 36, 39.

Step-by-step explanation:

Answer:

multiples of 3 : 21, 24, 27, 30, 33, 36, 39.

multiples of 2 : 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

Step-by-step explanation:

I NEED HELP PLEASEE HELP ME

Answers

Answer:

TRUE

FALSE

FALSE

TRUE

Step-by-step explanation:

yan na po god bless

A garden shed is 5 m from back to front; the back wall is 1.9 m high and the tool
slopes up uniformly to the front wall which is 2.6 m high. Find the area of the
side wall.

Answers

Answer:

yagni

Step-by-step explanation:

de bo dam me ha te cu te mala panga uh hu ayeee

In a year study found that the 7 billion people in the world 6 billion have cell phones how many people live without access for that year

Answers

1 billion people lived without access to cell phones in the year the study was conducted

Answer:

1 billion

Step-by-step explanation:

there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.

Working out:

7 -6=1

what is the equivlalent expression of 6m​

Answers

Answer:

6 * m

Step-by-step explanation:

6m is is multiplication so should be the equivalent expression

Written out as words clearly says

six times a number

times meaning multiplication

Meaning any other expression is equivalent as long as it is a form of multiplication

If I'm wrong please tell me if not

Hope this helped :]

You invest $50 with a simple interest return rate of 4% per year. How many years will it take to in investment to reach $70?​

Answers

Answer:

It would take 10 years for the investment to reach 70 dollars.

Step-by-step explanation:

The investment would gain 2 dollars per year. So in 10 years it will gain 20 dollars.

i probably did it wrong. please do a good explanation on how to find this out and answer my questions for brainliest thank you

Answers

Answer:

Step-by-step explanation:

As you can see from the value in the middle of the questions, the domain refers to all the possible x-values (input values) while the range refers to all the possible f(x) values (output values :: y-values). Therefore, for the domain, since the endpoints of the graph are closed circles it means that they are included so the domain would be ...

Domain: -9 ≤ x ≤ 7

The range would be the lowest and highest included y-value on the graph which in this case would be ...

Range: -6 ≤ f(x) ≤ 4

One hundred students were surveyed and asked if they participate in band and if they play a sport. The table below summarizes their responses.

Of students that do NOT play a sport, what is the relative frequency of those who participate in band?

Answers

Answer:

22/30

Step-by-step explanation:

22 students participate in band and 8 do not. The total number of students that don't play sports are 30 in total cause 22 + 8 = 30.

So, 22/30

Answer:22/30

Step-by-step explanation:

ADULT
£10.85
TEEN
£9.76
TICKET PRICES
CHILD
£8.43
SENIORS
£4.30
FAMILY
£32.99
If Syed pays for 3 adults, 5 teens, a child and 2 seniors with two £50 notes, who
change does he receive from the ticket seller?

Answers

Answer:

£1.62

Step-by-step explanation:

add them all up then subtract 100 and forget about the negative sign

The approximate land areas of the seven continents are listed in the table below.

Continent Area

(in sq. miles)
Africa 11.7 million
Antarctica 5.4 million
Asia 17.3 million
Australia 3.3 million
Europe 3.8 million
North America 9.4 million
South America 6.9 million
What is the median of the land areas of the seven continents?

9.4 million
6.9 million
7.4 million
5.4 million

Answers

Answer:

6.9 million

Step-by-step explanation:

the median is the number that is in the middle or centre of a set of observations that is arranged either in an ascending or descending order.

Arrange the land areas in ascending order :

3.3, 3.8, 5.4, 6.9, 9.4, 11.7, 17.3

the number in the middle is the 4th number which is 6.9

What is the volume of the rectangular prism?

Answers

Answer:

The one all the way to the left (1 1/9 ft)

Step-by-step explanation:

You have to multiply Height x Width x length together.

Height will be 5/3 or 1.66

length side will have the lenght of 1

Width will be 2/3 or .66

So now you just have all of that. And you get 1.1 ( I multiplied the decimals )

And that was closest to 1 1/9

Molly roller blades at a constant speed, travelling 8 km from her home to the library in 0.5 h. What was the rate of change of distance with respect to time?

Answers

Answer:

speed = Distance ÷ time

Step-by-step explanation:

S = 8km ÷ 0.5h

S = 16km/h

The rate of change of distance with respect to time was 16km/hr.

What is the average speed?

Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed over the course of a journey.

How to solve this problem?

Here, the total distance = 8km

Total time = 0.5 hr

Then the rate of change = total distance/total time = 8/0.5 = 16km/hr

Therefore, the rate of change of distance with respect to time was 16km/hr.

Learn more about speed here -

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Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5

A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5

Answers

Answer:

[tex]f(x) = 2x + 5[/tex]

[tex]g(x) = (x - 6)^2[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Which will give:

[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

Equate the expression in bracket to g(x)

[tex]g(x) = (x - 6)^2[/tex]

Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

[tex]f(x) = 2x + 5[/tex]

The question is in the picture.

Answers

[tex] B. \:\frac{2}{ {a}^{7} } [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{8}{2 \: {a}^{5} } \times \frac{6}{12 \: {a}^{2} } \\ = \frac{48}{24 \:( {a})^{5 + 2} } \\ = \frac{2}{ {a}^{7} } [/tex]

Note:-

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Find the angle of depression
from point A to point C.
А
2
58°
6 mi
B
С
Angle of depression = [ ? 1°

Answers

Answer:

Angle of depression = 32°

Step-by-step explanation:

The angle of depression from point A to point C is complementary to m<A

m<A = 58°

Therefore,

angle of depression + 58° = 90°

Angle of depression = 90° - 58°

Angle of depression from point A to point C = 32°

What is the volume of this cube?

Answers

Answer:

1 cubic ft

Step-by-step explanation:

Volume = Length × width × height

= 1 × 1 × 1

= 1

Answer:

1 cubic ft

Step-by-step explanation:

Volume = l × w × h

= 1 × 1 × 1

= 1 cubic ft

Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.

1) Whose stone hit the water second, and at what time?


2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?


3) Who had the higher initial height? What was it?

Answers

Answer:

that can't be the right graph because it is not purple and black or has the right information needed to answer this question

Step-by-step explanation:

Is there a graph that goes with this question?

I really want to help but this is not it

GIVING BRAINLIEST PLEASE ANSWER NOW

what is the volume of this triangular prism​

Answers

Answer:

V

54.83

Step-by-step explanation:

This should be the correct answer.

A rectangular yard has area 96 square feet. The width of the yard is 4 feet less than the length. Find the length. in feet, of the rectangular yard.​

Answers

Answer:

24 ft

Step-by-step explanation:

To find the missing length, we start with the area. We know that we have an area of 96 square ft (although i dont know why someone would have such a big yard). We also know that the width of the yard is 4 ft. The next thing we do is divide. Since we multiply the length and width to find the area, we will divide the area by the width to find the missing length. 96/4= 24. Btw here is the weird yard someone has lol ( i made it to the best of my ability)

|----------------------------------------------------------|

|_______________________________|

Answer:

length=12 feet

Step-by-step explanation:

l*w=a

l*w=96

factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

12*8=96

12-8=4

12 feet=length     8 feet=width

What is the radius of a circle whose equation is x2+y2+8x-6y+21=0?
O 2 units
O 3 units
4 units
ОО
O 5 units

Answers

The radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units

Radius of a circle

Since the equation of the circle is x² + y² + 8x - 6y + 21 = 0, to find the radius, we complete the square in the terms x and y and convert it to the form (x - a)² + (y - b)² = r²  (1) which is the standard equation of a circle.

So, x² + y² + 8x - 6y + 21 = 0

x² + 8x + y² - 6y + 21 = 0

x² + 8x + (8/2)² - (8/2)² + y² - 6y + (-6/2)²  + (-6/2)² + 21 = 0

x² + 8x + 4² - 4² + y² - 6y + (-3)²  - (-3)² + 21 = 0

(x + 4)² - 4² + (y - 3)²  - (-3)² + 21 = 0

(x + 4)² - 16 + (y - 3)²  - 9 + 21 = 0

(x + 4)² + (y - 3)² - 16 - 9 + 21 = 0

(x + 4)² + (y - 3)² - 4 = 0

(x + 4)² + (y - 3)² = 4  (2)

Comapring (1) and (2), r² = 4

So, r = √4

r = 2

So, the radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units

Learn more about equation of a circle here:

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The radius of the circle given by the equation is 2.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Given equation is,

x² + y² + 8x - 6y + 21 = 0

(x² + 8x + 16) + (y² - 6y + 9) - 4 = 0

(x + 4)² + (y - 3)² = 4

(x + 4)² + (y - 3)² = 2²

Hence the radius of the circle is 2.

Learn more about Circles here :

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y = - 1/(1 + cos y) Find dy/dx.​

Answers

Step-by-step explanation:

you have to use this

u/v=u'×v-v'×u/v²

0×(1+cosy)-(-1×-siny)/(1+cosy)²

-siny/(1+cosy)²

hopefully its correct

Look at this net for a rectangular prism.


What is the surface area of the solid created by the net? Show your work.



the second part of the question EXPLAIN YOUR THINKING PLZ HELP
The length of the rectangular face is 15 cm, and there are 4 rectangular faces in the rectangular prism. If the length of the rectangular faces in the prism was tripled to 45 cm, what would happen to the size of the 2 rectangular bases of the prism? Explain your thinking.

Answers

Answer:

Step-by-step explanation:

the surface area = area of the 4 faces+ area of the 2 bases

4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²

if the length  of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.

What is the solution to the system of
equations shown below?
S23
2x + 2y = 12
6x - 2y = 20

Answers

2x+2y=12.........&
6x-2y=20.........$

&+$: 8x=32
x=4

2*4+2y=12
y=4

Answer:

The solution, as an ordered pair, is (4, 2).

Step-by-step explanation:

2x + 2y = 12

6x - 2y = 20     Adding the 2 equations will eliminate y:

8x + 2y + (-2y) = 32

8x = 32

x = 4.

Substitute x = 4 in the first equation:

2(4) + 2y = 12

2y = 12 - 8

2y = 4

y = 2.

HELP SOON!!
What is sum of the geometric series 5 sigma k-1 6(4)^4-1?
(picture attached)

Answers

Answer:

the answer is 2,046...

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is   2046

What is a geometric series ?

The sum of an infinite number of terms that are in constant ratios.

From the given data

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is                                     (here k is replaced with

                                                                                                                 n)                                              

6(4)ⁿ⁻¹ for n=1 is

=6(4)¹⁻¹

=6(4)⁰

= 1

6(4)ⁿ⁻¹ for n=2 is

=6(4)²⁻¹

=6(4)¹

=24

6(4)ⁿ⁻¹ for n=3 is

=6(4)³⁻¹

=6(4)²

=6(16)

=96

6(4)ⁿ⁻¹ for n=4 is

=6(4)⁴⁻¹

=6(4)³

=6(64)

384

6(4)ⁿ⁻¹ for n=5 is

=6(4)⁵⁻¹

=6(4)⁴

=6(256)

=1536

∴∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is    

6 + 24 + 96 + 384 + 1536

=2046

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PLEASE HELP ASAP!! *the thing above is a picture click to see full problem*

Answers

Answer:

101

Step-by-step explanation:

180-79

Find the measure of angle x.
X Х
x = [?]
/20

Answers

Answer:

x=20[vertically opposite angle are equal]

Please answer :D pretty simple for math experts I’m just bad

Answers

Answer: 74 inches

Step-by-step explanation:

Since we are given the equation of the regression line for the son's height y to be:

y = 0.5x + 38

where,

x = father's height = 72 inches

Then, we put the value of x into the equation and this will be:

y = 0.5x + 38

y = 0.5(72) + 38

y = 36 + 38

y = 74 inches

Therefore, the son is 74 inches.

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