at a concession stand, seven hot dog(s) and four hamburger(s) cost $18.25; four hot dog(s) and seven hamburger(s) cost $17.50. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog?

Answers

Answer 1

The cost of one hot dog is $1.75

The cost of one hamburger is $1.5

Step-by-step explanation:

Let,

The cost of hot dog be 'x'.The cost of hamburger be 'y'.

The equations can be formed as :

7x + 4y = 18.25  --------(1)

4x + 7y = 17.50  --------(2)

Multiply eq (1) by 4 and eq (2) by 7,

   28x + 16y = 73

- (28x + 49y = 122.5)

         - 33y = - 49.5

y = 49.5/33

y = 1.5

The cost of one hamburger is $1.5

Substitute y=1.5 in eq (1),

7x + 4(1.5) = 18.25

7x = 18.25 - 6

x = 12.25/7

x = 1.75

The cost of one hot dog is $1.75


Related Questions

A triangle has a base of 5 centimeters and a height of 8 centimeters.
What is the area of the triangle?
A. 10 cm2
B. 13 cm2
C. 20 cm2
D. 40 cm2

Answers

Answer:

C. 20 cm^2 is the area. Hope this helped you.

Answer: c. 20

Step-by-step explanation:

The formula to finding a triangle is base times height over 2.

5 x 8/ 2=

40/2=

20

HELP PLEASE be QUICK

Answers

Answer:

C=62.83

Step-by-step explanation:

C=2πr

Radius= Diameter/2

C=2π(10)

C=62.83

Jay earns $2,500 a month. He pays
$850 a month to rent an apartment
What percent of Jay's income does
he pay for rent?

Answers

Answer: 34%

Step-by-step explanation: 2,500 - 34% = 850 the remaining 76% equals 1,650

find the product of 3 and 2y-4x=8

Answers

Answer:

Step-by-step explanation:

3 * (2y - 4x) = 8

6y - 12x = 8

divide by 2 throughout

3y - 6x = 4

-6x + 3y -4 = 0

To find the product of 3 and the expression 2y - 4x, we multiply both sides of the equation by 3, resulting in 6y - 12x = 24.

The student's question asks us to find the product of 3 and the expression 2y - 4x = 8. Multiplying both sides of the equation by 3 we get:

3 * (2y - 4x) = 3 * 86y - 12x = 24

The product of 3 with each term on the left side of the equation has been calculated, resulting in a new equation: 6y - 12x = 24. It is important to carry out the multiplication operation carefully, ensuring that each term within the parentheses is multiplied by 3.

PLEASE HELP
BRAINLIEST
Find the value of x in the figure.

Answers

Answer:

x = 27

Step-by-step explanation:

Using the information in the figure, we can conclude that the 3x - 17, x + 40, and 2x - 5 would be the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180° (use the equation: (n-2) × 180°).

By using this information, we can conclude that (3x - 17) + (x + 40) + (2x - 5) would equal 180. We can put this into the equation:

(3x - 17) + (x + 40) + (2x - 5) = 180

To find the value of x in this equation (solve for x), we would have to get the equation into the form x = _.

(3x - 17) + (x + 40) + (2x - 5) = 180

3x - 17 + x + 40 + 2x - 5 = 180

Combine like terms.

6x + 18 = 180

Subtract 18 from both sides to get rid of the +18 on the left side.

6x = 180 - 18

Simplify.

6x = 162

Divide 6 form both sides to get rid of the coefficient of 6 on the left side.

x = 162 ÷ 6

Simplify.

x = 27

x = 27

I hope this helps. :)

An oblique prism has a base area of 3x2 square units.

An oblique prism has a base area of 3 x squared square units. The base of the prism is a quadrilateral. The distance from the top quadrilateral to the bottom quadrilateral is 13. A right triangle is drawn outside of the prism and has the side with length 13 as its hypotenuse. The base length of the triangle is 5.

What expression represents the volume of the prism, in cubic units?

Answers

Answer:

36x²

Step-by-step explanation:

i just did it on edge 2020

Final answer:

The volume of the oblique prism can be calculated by multiplying the base area by the height of the prism.

Explanation:

The volume of an oblique prism can be calculated by multiplying the area of its base by its height. In this case, the base area is given as 3x2 square units, and the height of the prism is 13 units. Therefore, the expression that represents the volume of the prism is 3x2 * 13 = 39x2 cubic units.

MULTIPLE CHOICE:

if the solution to an inequality is t < 7.4, which of the numbers below would be part of the solution?

O4.7

O5.1

O7.4

O8.2

O9.6​

Answers

Answer:

4.7 and 5.1

Step-by-step explanation:

7.4 only works if it shows less than or equal to inequality

A gray wolf's sperm contains
39 chromosomes. He mates with a female gray wolf.
How many chromosomes will there be in the resulting zygote?

Answers

Answer:

The resulting zygote will have 78 chromosomes.

Step-by-step explanation:

The sperm and eggs are the sex cells of animals. These cells contain half the number of chromosomes compared to the number of chromosomes present in the somatic cell of that particular organism.

When the sperm and the egg cell unite to form a zygote, the 39 chromosomes in the wolf's sperm and the 39 chromosomes in the female wolf's egg will add up to male 78 chromosomes in the zygote.

Final answer:

In the process of sexual reproduction in wolves, each parent contributes 39 chromosomes. So, a zygote formed from the sperm of a male wolf and the egg of a female wolf will contain a total of 78 chromosomes.

Explanation:

The concept is related to the process of sexual reproduction in mammals, which includes wolves. Since the process of sexual reproduction involves the combination of both parents' genetic material, each parent contributes half the total number of chromosomes in a zygote.

In the case of a gray wolf, the sperm contains 39 chromosomes. Therefore, the egg from the female gray wolf will also contain 39 chromosomes. When the sperm and egg meet during fertilization, they combine to form a zygote containing a total of 78 chromosomes — 39 from the male and 39 from the female.

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Last year, Jess saw x dramas and y comedies at the movie theater. If she went to the theater no more than 8 times, which inequality best represents the number of movies she saw?

x + y < 8
x + y > 8
x + y ≤ 8
x + y ≥ 8

Answers

Answer:

[tex]x + y \leqslant 8[/tex]

Step-by-step explanation:

The key idea here is to identify how to translate the statement, no more than, into inequality.

No more than 8 means less or equal to 8.

If Jess saw x dramas and y comedies at the movie theater, and she went to the theater no more than 8 times,then the inequality that best describes the situation is:

[tex]x + y \leqslant 8[/tex]

The third choice is correct

What is the decimal 89.023 in word and expanded form

Answers

Answer: Eighty Nine and Twenty Three Thousandths

Step-by-step explanation:

Answer:

eighty-nine and twenty-three thousandths <------ word form

80 + 9 + 0.02 + 0.003 <------ expanded form

(12+4) divided by (11-7)
pemdas order of operations

Answers

The answer would be 4

Answer:

4

Step-by-step explanation:

[tex]\frac{12+4}{11-7} =\frac{16}{4} =4[/tex]

Anna baked 333 batches of cookies with ccc cookies in each batch. She then ate 888 cookies!
How many cookies does Anna have left?

Answers

Hello friend!

If each batch has three cookies (which I suppose is what the "ccc" means,

Your quick answer is 111. :)

If Anna has baked 333 batches of cookies and each batch has three cookies, then 333 multiplied by 3 is 999. If Anna ate 888 cookies then 999 minus 888 is 111.

Take care friend!

-Edge

Answer:

3c-8

Step-by-step explanation:

Is 6/10 greater than 1/2

Answers

yes

5/10 is equal to 1/2

so 6/10 is larger than 1/2

Answer:

No 1/2 is greater

Step-by-step explanation:

1:look at both 1/2 and 6/10

2: see which one gets to the denominator first

3: which ever one it is will be greater

4:the answer is 1/2 because if you add one more to 1/2 you get 2/2

n a drawer, there are 12 pairs of socks, 6 of which are white. If you randomly select two pairs of socks, what is the probability that both are white? Express your answer as a reduced fraction.

Answers

Final answer:

The probability that both pairs of socks selected from a drawer containing 12 pairs, 6 of which are white, are white, is 5 out of 22.

Explanation:

The subject of this question is the probability in mathematics, specifically dealing with combinations. In the problem, there are 12 pairs of socks and 6 of them are white. When we are drawing two pairs, we want both to be white which defines our event space.

To find the answer, we need to divide the number of favorable outcomes by the total number of outcomes. The favorable outcome is the probability of choosing 2 white socks out of 6 which can be calculated by combinations (represented by the formula C(n, k) = n! / [k!(n - k)!]). So, C(6, 2) = {6! / [2!(6 - 2)!]} = 15.

The total number of outcomes is the number of ways to pick 2 pairs out of 12, calculated by combinations as well, C(12, 2) = {12! / [2!(12 - 2)!]} = 66.

Now, the probability is favorable outcomes divided by total outcomes = 15/66 = 5/22.

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Simplify the expression.
t+2+6t
=

Answers

Answer:

7t+ 2

Step-by-step explanation:

A segment has a midpoint at (2,-7) and an endpoint at (8,-5). What are the coordinates of the other endpoint?

Answers

Answer:

(-4,-9)

Step-by-step explanation:

Given a segment AB with endpoints with coordinates

A: [tex](x_A,y_A)[/tex]

B: [tex](x_B,y_B)[/tex]

The coordinates of the midpoint M of the segment AB are given by:

[tex]x_M = x_A + \frac{x_B-x_A}{2}\\y_M = y_A + \frac{y_B-y_A}{2}[/tex] (1)

In this problem, we know that:

- The midpoint of the segment AB has coordinates

[tex]x_M=2\\y_M=-7[/tex]

- One of the endpoint of the segment has coordinates

[tex]x_B=8\\y_B=-5[/tex]

So we  can find the coordinates of the other endpoint A by re-arranging eq.(1) above:

[tex]x_A=2x_M-x_B\\y_A=2y_M-y_B[/tex]

And substituting, we find:

[tex]x_A=2(2)-8=-4\\y_A=2(-7)-(-5)=-9[/tex]

So, the coordinates of the other endpoint are (-4,-9).

Final answer:

To find the coordinates of the other endpoint, use the midpoint formula to average the x-coordinates and the y-coordinates of the given point and the midpoint.

Explanation:

To find the coordinates of the other endpoint, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints. So, we can calculate the x-coordinate of the other endpoint by averaging the x-coordinates of the given point and the midpoint: (8 + 2) / 2 = 5. Similarly, we can calculate the y-coordinate of the other endpoint by averaging the y-coordinates: (-5 + (-7)) / 2 = -6.

Therefore, the coordinates of the other endpoint are (5, -6).


1. Express 4 factors of -20: (-20%)(-2)(-20)(-28)
2. Expand the expression:
-2.-2.-2.-2..0.0.
3. Simplify to the exponential form: (-2)4. (4574
4. Evaluate the base 2 power: 16. (054
5. Apply the power of a power: 162"
What is the value of x in the simplified power? x=

Answers

The value of x in the simplified power is 20.

Solution:

Given expression: [tex]\left(-2 d^{5}\right)^{4}[/tex]

Step 1: Express 4 factors of [tex]-2 d^{5}[/tex]

[tex]\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)[/tex]

Step 2: Expand the expression

[tex]-2 \cdot-2 \cdot-2 \cdot-2 \cdot d^{5} \cdot d^{5} \cdot d^{5} \cdot d^{5}[/tex]

Step 3: Simplify to the exponential form

There four -2 terms and four [tex]d^5[/tex] terms.

[tex](-2)^{4} \cdot\left(d^{5}\right)^{4}[/tex]

Step 4: Evaluate the base 2 power.

[tex](-2)^{4}=16[/tex]

[tex](-2)^{4} \cdot\left(d^{5}\right)^{4}=16 \cdot\left(d^{5}\right)^{4}[/tex]

Step 5: Apply the power of a power.

Using exponent rule: [tex](a^m)^n=a^{mn}[/tex]

So that [tex]\left(d^{5}\right)^{4}=d^{5\times4}=d^{20}[/tex]

[tex]16 \cdot\left(d^{5}\right)^{4}=16d^{20}[/tex]

[tex]16 d^{x}=16 d^{20}[/tex]

x = 20

The value of x in the simplified power is 20.

Please help I appreciate it

Answers

Answer:

A

Step-by-step explanation:

g(x) got smaller

A - makes it thinner

B & C - move it to the left or right

D- makes it wider

Answer:

Step-by-step explanation:

#1 I

#2 D

#3 K

Sara got 88, 90, 75, 78, 100, 54, 90, 100, 45, and 60 on her English tests

What is the mean of Sarah’s English tests

Answers

The answer is 78 because when you add all the numbers it equals 780 and you need to divide the end sum by the amount of numbers added to get it. So in the end there were 10 numbers added to equal 780 so 780\10 equals 78

Answer: 78

Step-by-step explanation:

88+90+75+78+100+54+90+100+45+60 = 780

Divide this number by the total number of factors,in this case 10:

780/10 = 78

________+ 1 1/10=3 1/2

Answers

Answer: 12/5 or 2 2/5

Step-by-step explanation:

From the question: ________+ 1 1/10=3 1/2

Let the missing value be x

Convert the improper fraction to proper fraction

1 1/10 = 11/10

3 1/2= 7 /2

Therefore, x + 11/10 = 7/2

Subtract both sides of the equation by 11/10 to get the value of x

x + 11/10 - 11/10 = 7/2 - 11/10

x = 24/10

x = 12/5 or 2 2/5

Answer:

2.4 or 2 2/5

Step-by-step explanation:

1. Creating the Equation

This problem is meant to have you work backwards from the information given.  In this case, there is no reason to organize information, as this is not a word problem.

Instead, a simpler approach would be to replace the blank space with the variable x.

Once x replaces the blank space, the equation should appear as shown:

x + 1 1/10 = 3 1/2

2. Solving for x

Now that the equation was created, use the order of operations to solve for x.

Firstly, convert all the mixed numbers into improper fractions to simplify the solving process.

x + 11/10 = 7/2

Next, convert the 7/2 fraction into the same denominator as the 11/10 fraction. To do this, multiply both the numerator and the denominator by 5/5.

x + 11/10 = 7/2

x + 11/10 = 5/5(7/2)

x + 11/10 = 35/10

Finally, subtract the 11/10 fraction from both sides of the equation to find the solution to x.

x + 11/10 = 35/10

x + 11/10 - 11/10 = 35/10 - 11/10

x = 24/10

x = 2 4/10

(Simplify the fraction if needed)

x = 2 2/5

As said earlier, x was meant to represent the final answer.

x + 1 1/10 = 3 1/2

x = 2 2/5

2 2/5 + 1 1/10 = 3 1/2

2 triangles are shown. Line M N is the line of reflection. Line segment X prime X has a midpoint at point A. Line segment Z prime Z has a midpoint at point B. Line segment Y prime Y has a midpoint at point C. Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. m∠X'Z'Y' = 90° m∠MCY = 90° XX' ≅ YY' BZ' ≅ BZ XY || X'Y'

Answers

The statements that are true with respect to the reflection of Δ XYZ are:

Option A -  m∠X'Z'Y' = 90°

Option B - m∠MCY = 90° and

Option D - BZ' ≅ BZ.

What is the reflection in math?

Geometrically speaking, reflection in math simply refers to a flip image of a shape, all dimensions remaining the same.

When every point in a figure is equidistant from it's equivalents points on the mirror image, both images are said to be a reflection of one another.

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Answer:

A, B, D

Step-by-step explanation:

edge 2022

If the trapezoid below is reflected across the x-axis, what are the coordinates
of B?
A. (4-8)
B.(-4,-8)
C. (-4,8)
D. ( -8,-4)

Answers

As you may have intentionally forgotten to add the diagram. The diagram of the trapezoid is attached below.

Answer:

The point B(4, 8) after reflection across x-axis would be B'(4, -8).

B(4, 8)        →       B'(4, 8)  

Step-by-step explanation:

The rule of reflection across the x-axis states that a reflection of a point, let say M(x, y), across the x-axis does not change the value of x-coordinate but changes the sign of the y-coordinate of the point.

In a nutshell,

The point M(x, y) after reflection across x-axis would be M'(x, -y)

M(x, y)        →       M'(x, -y)

From the diagram attached below, the coordinate of point B is (4, 8).

So, according to the rule of reflection across the x-axis, the coordinates of the image of the point B (4, 8) after the reflection across the x-axis will be B'(4, -8).

i.e.

The point B(4, 8) after reflection across x-axis would be B'(4, -8).

B(4, 8)        →       B'(4, 8)  

What values of b satisfy 3(2b + 3)2 = 36?

b = StartFraction negative 3 + 2 StartRoot 3 EndRoot Over 2 EndFraction and StartFraction negative 3 minus 2 StartRoot 3 EndRoot Over 2 EndFraction
b = StartFraction negative 3 + 2 StartRoot 3 EndRoot Over 2 EndFraction and StartFraction negative 3 minus 2 StartRoot 3 EndRoot Over 2 EndFraction
b = StartFraction 3 Over 2 EndFraction and StartFraction negative 9 Over 2 EndFraction
b = Start Fraction 9 Over 2 EndFraction and StartFraction negative 3 Over 2 EndFraction

Answers

Answer: b=-3+2√3/2

-3-2√3/2

Step-by-step explanation: it's A on edg

The value of b which satisfies the given quadratic equation is both: A. b = (-3 + 2√3)/2 and (-3 - 2√3)/2.

How to solve a quadratic equation?

In this exercise, you're required to solve for the value of b which satisfies the given quadratic equation. Thus, we would simplify the quadratic equation as follows:

3(2b + 3)² = 36

Dividing both sides by 3, we have:

(2b + 3)² = 12

Taking the square root of both sides, we have:

2b + 3 = ±√12

2b + 3 = ±√4 × √3

2b + 3 = ±2√3

2b = -3 ± 2√3

b = (-3 + 2√3)/2    and    (-3 - 2√3)/2.  

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Can anyone help me with this math and explain how you got it if you can? If not just the answer and the number to the question.

Answers

1. 16 above 6
2. 10 above 5
3. 4 above 2
4. 6 above 3
5. 8 above 12 minus
6. 6 above 7

How do the graphs of f(x)=x^2 and g(x)=3/4x^2

Answers

Easily putting the equation into Google, I found a graph for you! :)

Answer:

the answer is b.  

the graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4

Step-by-step explanation:

why? bc i did the review

Can someone please help me???!!!

Answers

Answer:

A.)

Step-by-step explanation:

The point (x, y) is the top of a polygon. Which point would it map to if the polygon were reflected over the x-axis and then translated 5 units down?
A) (x, y+5)
B) (x,-y-5)
C) (-x+5, -y)
D) (-x, -y+5)

Answers

Answer:

it´s b for sure

Step-by-step explanation:

The coordinates of the transformed point is (x,-y-5), the correct option is B.

What is Reflection of an object?

The reflection of an object refers to creating a mirror image of the object, similar in shape and size, just the coordinates are switched.

When a point is reflected over an axis, the coordinate of the other axis changes to its additive inverse.

The coordinates (x,y) when reflected over x axis change to (x,-y)

The polygon is reflected over x axis

then the coordinate ( x,y) will become (x,-y)

After translation, 5 units down, the coordinate change to

( x, -y-5)

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The hypotenuse of a 45°-45°-90° triangle measures 22 StartRoot 2 EndRoot units.


A right triangle is shown. The length of the hypotenuse is 22 StartRoot 2 EndRoot 2 units. The lengths of the other 2 sides are congruent.


What is the length of one leg of the triangle?


11 units

11 StartRoot 2 EndRoot units

22 units

22 StartRoot 2 EndRoot units

Answers

Length of the other leg is 22 units

Step-by-step explanation:

Step 1: The length of the other legs can be found using Pythagoras Theorem given hypotenuse = 22√2. Let the sides be x.

Hypotenuse² = x² + x²

(22√2)² = 2x²

⇒ x² = 22 × 22 × 2/2 = 22 × 22

x = 22 units

Answer:

C

Step-by-step explanation:

which expression is a factor of the quadratic 6x^2-11x-35?

2x-7, 2x-5, 2x+7, 2x+5

Answers

1. Split the second term in 6x^2 - 11x - 35 into two terms

6x^2 + 10x - 21x - 35

2. Factor out common terms in the first two terms, then in the last two terms

2x(3x + 5) - 7(3x + 5)

3. Factor out the common term 3x + 5

(2x - 7)

Split the second term in 6x^2 - 11x - 35 into two terms

6x^2 + 10x - 21x - 35

2. Factor out common terms in the first two terms, then in the last two terms

2x(3x + 5) - 7(3x + 5)

3. Factor out the common term 3x + 5

(2x - 7)

A passenger on a ship dropped his camera into the ocean. If it is descending at a rate of -4.2 meters per second, how long (in seconds) until it hits the bottom of the ocean, which is at -1875 meters? Round to the nearest second.

Answers

It would take 446 seconds
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From the time they arrive in their raw state to the time they're processed and packaged as snacks, ready to be trucked to stores and warehouses, potatoes spend less than 36 hours at the plant. In all, the Casa Grande plant turns out 90 million pounds of snacks every year, including Sun Chips, Cheetos, Fritos, potato chips, and tortilla chips.One of Frito-Lay's distribution strengths is a strategy it calls "direct store distribution." To ensure that snacks arrive fresh and in good condition, Frito-Lay has its truck drivers deliver snacks directly to individual stores on a regular basis. For specialty snacks geared toward smaller target markets, however, Frito-Lay is experimenting with distribution through wholesalers that sell to delicatessens and other small stores. Frito-Lay fills wholesalers' orders with stock stored in its regional warehouses.Put yourself in the shoes of a marketer helping to plan for supply-chain and channel management at Frito-Lay. 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Forsix weeks, he has been producing a list of the books he had just read. His results aregiven in the table. Assuming that these six weeks are representative of his readinghabits, what is the average number of books does Anthony read per week?Week 1 2 3 4 5 6Numbers of Books 2 3 1 2 0 1O 1.5O 1.803O 0.67 A student needs help completing an energy transfer diagram for a ceiling fan. Which BEST fills in the blanks labeled M and N to describe the transfer of energy What are some of the key aspects of the innovative care delivery design that occurred in Valencia, Spain? (Hint: visit the required readings from this week). Given a integer, convert to String, using String Builder class. No error checking needed on input integer, However do read in the input integer using Scanner API. This program requires you to use a loop. Vangaurd Health System bonds have an annual coupon rate of 8 percent and a par value of $1,000 and will mature in 20 years. If you require a 7 percent return, what price would you be willing to pay for a Vangaurd bond Pureform, Inc., manufactures a product that passes through two departments. Data for a recent month for the first department follow: Units Materials Labor Overhead Work in process inventory, beginning 77,000 $ 68,900 $ 31,500 $ 43,500 Units started in process 729,000 Units transferred out 750,000 Work in process inventory, ending 56,000 Cost added during the month $ 911,380 $ 388,700 $ 537,140 The beginning work in process inventory was 70% complete with respect to materials and 55% complete with respect to labor and overhead. The ending work in process inventory was 50% complete with respect to materials and 25% complete with respect to labor and overhead. Required: Assume that the company uses the weighted-average method of accounting for units and costs. 1. Compute the equivalent units for the month for the first department. A 2-m3 rigid tank initially contains air at 100 kPa and 22C. The tank is connected to a supply line through a valve. Air is flowing in the supply line at 600 kPa and 22C. The valve is opened, and air is allowed to enter the tank until the pressure in the tank reaches the line pressure, at which point the valve is closed. A thermometer placed in the tank indicates that the air temperature at the final state is 77C. Determine (a) the mass of air that has entered the tank and (b) the amount of heat transfer