100 points
Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost of hamburgers (h) and French fries (f).

Answers

Answer 1

Each french fry costs $1.5 and hamburger $3.75

=================

two hamburgers +  two French fries = $10.50 ____ equation 1four hamburgers + three French fries = $19.50 _____equation 2

Consider hambugers as "h" and fench fries as "f"

2h + 2f = 10.5 ___ equation 14h + 3f = 19.5 ___ equation 2

We can solve them to find the cost of each hambuger and fench fry

Solve for f :

(10.5 - 2f)/2 = (19.5 -3f)/442 - 8f = 39 -6f-6f + 8f = 42 - 392f = 3f = 1.5

Solve for h :

h = (10.5 - 2f)/2h = (10.5 - 2(1.5))/2h = 3.75

Related Questions

Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25, explain how you would use a random number table to do it. (10 points; 7 for your answer, 3 for response to others' comments.)

Answers

A random number table can be used by first assigning a number to each subject and then randomly selecting the subjects for each group.

What is a random number table?

This is table that contains random numbers and it is used to select random samples.

How to use it in this case?Assign a number to each participant from 1 to 50.Grab the random number table and without looking point at a number in the table.If the last two digits of the number are between 01 and 50, assign the participant to the first group. If not select another number.Assign 25 participants to the first group using this metho and then automatically assign the remaining 25 participants to the second group.

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A basket contains 40 mangoes out of which 8 are rotten. Find the percentage of the mangoes that are in good condition

Answers

So if 8 are rotten then that means 32 are good.
So 32/40 are good
32/40 as a percentage is 80%

There are 80% of mangoes which are good condition.

What is percentage?

Percentage is a relative value indicating hundredth parts of any quantity.

Given that, A basket contains 40 mangoes out of which 8 are rotten.

Mangoes in total = 40

Number of mangoes which are rotten = 8

Mangoes which are good condition = 40-8 = 32

Percentage of good mangoes = 32/40x100 = 80%

Hence, 80% of mangoes are not rotten.

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18. What is the value of the 5 in 256
A. 5/10
SO
B. 10/5
C. 5/100
D. 100/5

Answers

Answer:

A. 5/10

Step-by-step explanation:

Because the 5 in 256 is ine in tength's place. And 5/10 is 0.5 or 50

can someone help with this?

Answers

Answer:

4) r = 10 yd

   d = 20 yd

5) r = 7 in

   d = 14 in

6) r = 15 ft

   d = 30 ft

7) r = 23 in

   d = 46 in

8) r = 16 yd

   d = 8 yd

9) r = 21 ft

   d = 42 ft

Step-by-step explanation:

Diameter = 2 x radius

*diameter (d)*

*radius (r)*

How many congruent faces does the square pyramid below have?
A.
5
B.
6
C.
4
D.
2

Answers

Answer:

C. 4

Step-by-step explanation:

Each side of the Square pyramid is congruent

Answer: c which is 4 sides

Step-by-step explanation: the square pyramid has 4 sides which are having equal sides so they are congruent . Hope it helps . Please give brainliest .

5. You get a car loan for $13,000 to buy a used car. The car dealer who gives you the loan charges
8.4% interest, compounded monthly, for 4 years.
(a) What's the total amount you will have to pay back for this loan?
(b) What is your monthly payment for this loan?

Answers

Answer:

Total = $15,351.10

Monthly = $319.81

Check
Find the area of the given triangle.
feet
The base (6) of the triangle is
feet
1
1
The height (h) of the triangle is
25 feet
1
1
The area of the triangle is
square feet
115 feet
10 feet
Dono

Answers

Base = 10
Height = 15
A= 1/2bh
10x15 is 150.
150x1/2 is 75, so the area is 75.

The graph of y = StartAbsoluteValue x EndAbsoluteValue is transformed as shown in the graph below. Which equation represents the transformed function? On a coordinate plane, an absolute value function is shown. The vertex of the function is at (negative 3, negative 2). It crosses the x-axis at (negative 5, 0) and (negative 1, 0) and it crosses the y-axis at (0, 1). y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2 y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2 y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3 y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3

Answers

Using translation concepts, it is found that the equation of the transformed function is:

y = |x + 3| - 2.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:

It was shifted 3 units to the left, hence x -> x + 3.It was shifted 2 units down, hence y -> y - 2.

Thus, the equation of the function is now given by:

y = |x + 3| - 2.

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Answer:y = |x + 3| - 2.

Step-by-step explanation:  B on edge

A shop charges `\$1.95` for a small `3`-ounce soft serve. 



What is the cost per ounce of soft serve?

Answers

0.65 because you divide 1.95 by 3!

Solve 3x+1=15 for using the change base formula

Answers

Answer:

Step-by-step explanation: X = 4/3 or X= 1.3

3x + 1 = 5

3x = 5 - 1

3x = 4

X= 4/3 or X= 1.3

Age of car = 4 years. Original cost = $13,850. The current market value is $

Answers

Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.

Hence, the value of the car in 4 years is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(4) = 13850(0.9)^4[/tex]

A(4) =  9087.

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If the figure is a net of a square pyramid, drag it to the “Nets of Square Pyramids” column.

If the figure is not a net of a square pyramid, drag it to the “Not Nets of Square Pyramids” column.

Answers

Answer:

Step-by-step explanation:

1st is a net of a square pyramid.
2nd is a net of a square pyramid.

3rd is not a net of a square pyramid.

4th is not a net of a square pyramid.

5th is a net of a square pyramid.

6th is not a net of a square pyramid.

Answer:

  see attached

Step-by-step explanation:

A net of a square pyramid will have four triangle shapes representing the lateral faces, and one square shape representing the base. The vertices of the triangles that are opposite the base edge will meet at a single point.

__

Figures 3 and 4 must be rejected because they have 3 and 5 triangles, respecively.

Figure 6 must be rejected because the figure cannot be folded to form a square pyramid. (The two left-side triangles will overlap.)

HELP ME!!!! please....

Answers

The correct answer is A i believe :)

HELP PLS
WORTH 1 POINT
GIVING 10
WHAT DID I DO WRONG?

Answers

supplementary angles form a straight line (together 180°) and the ones that you indicated didn't.

Who was one of the earliest non-king leaders of the Benin people?
A. Sakura
B. Oranyan
C. Ekewa
D. Sundiata

Answers

The answers is b sundiata

Answer:

the answer is d , sundiata!

Step-by-step explanation:

the

Krista Kellman has an opportunity to purchase a government security that will pay $200,000 in 5 years.

Answers

Don’t even know to be honest

Cual es la formula para calcular la masa de los atomos de carbono y nitrogeno?


POR FAVOR Y DOY CORONA Y CORAZON

Answers

Answer:

La masa atómica del carbono (C) es 12 g/mol; para el oxígeno (O) es de 16 g/mol. Esto significa que 6.022 x 1023 átomos de carbono pesan 12 gramos. Según esto, el peso molecular del CO2 es: 12 g/mol [C] + 2 x 16 g/mol [O2] = 44 g/mol.

1 molécula de Nitrógeno por su masa atómica de 14.01 más 3 moléculas de Hidrógeno por su masa atómica de 1.008 = (1 * 14.01) + (3 * 1.008) = 14.01 + 3.024 = 43.038 u = 17.03 masa molecular = 17.03 g/mol de masa molar en el amoníaco.

Solve 5+ 4.7 (21 + 3x) = 41

Answers

x= -4.44680851 i think this is correct

How can we use the distributive property to find an expression equivalent to
10(5 – 2x)? Place the steps in order.

Answers

Answer: multiply 10 to both terms and subrtact products

Step-by-step explanation:

10(5 - 2x)

multipy 10 to both terms

50  20x

subtract products

50 - 20x

Answer:

1. subtract 2×from get 3.×= 682+ 4672

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Which of the following sets of numbers could represent the three sides of a triangle?
{6,18,24}
{5,16,22}
{11, 17, 27}
{ 8, 15, 24}

Answers

Answer: Choice C

{11, 17, 27}

============================================================

Explanation:

Let's go through the answer choices.

A) This won't work because 6+18 = 24 which is not larger than the third side 24. The sum of any two sides must be larger than the other side. Refer to the triangle inequality theorem.B) 5+16 = 21 is not larger than 22, so we rule this out as well.C) We'll come back to this laterD) We rule this out because 8+15 = 23 is not larger than 24.

Now return back to choice C. Notice how adding any two sides leads to a sum larger than the third side

11+17 = 28 is larger than 2711+27 = 38 is larger than 1717+27 = 44 is larger than 11

The three conditions of the triangle inequality theorem are met, so a triangle is possible for choice C.

Please help me with this question

Answers

Answer:

x = 110y = 62

Step-by-step explanation:

x

The angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.

  180° -x° = (60° +80°)/2

  180 -70 = x . . . . . . . . . . . divide by °, add x-70

  x = 110

__

y

The external angle where secants meet is half the difference of the intercepted arcs.

  59° = (180° -y°)/2

  118 = 180 -y . . . . . . . multiply by 2, divide by °

  y = 180 -118 . . . . . add y-118

  y = 62

7<2x+3<=13 write solution in interval notation

Answers

Answer:

2<x<_5

Step-by-step explanation:

Find the measure of ∠b.



A. 110∘
B. 102∘
C. 111∘
D. 121∘

Answers

Answer:

110 :)

Step-by-step explanation:

Triangle total angle measurement: 180

Now lets solve!

28 + 42 + ? = 180

70 + ? = 180

Now we have to subtract!!

180 - 70 = 110

Have an amazing day!!

Please rate and mark brainliest!!

Sum of all angles of triangle =180


28 + 42 + ∠b = 180
70 + ∠b = 180
∠b = 180 - 70
∠b = 110

Which of the following data sets are NOT likely to be normally distributed?

The day of the month on which randomly selected students were born
The day of the month on which randomly selected students were born

The final exam scores of all students taking the same class and given the same final exam in a large school district
The final exam scores of all students taking the same class and given the same final exam in a large school district

The number of wheels on the next 100 vehicles that pass by a point along a highway
The number of wheels on the next 100 vehicles that pass by a point along a highway

The heights of tenth-grade male students at a large high school
The heights of tenth-grade male students at a large high school

The IQs of the students at a large high school

Answers

Answer:

Which group's distribution of race times would most likely have the largest standard deviation? The group competing in the open competitions is most likely to have a higher standard deviation than the group competing in the qualified competitions .

Step-by-step explanation:

What was her speed?

0.1 mile per minute
0.5 mile per minute
5 miles per minute
10 miles per minute

Answers

whose speed are you trying to find ? information is missing

Answer:

0.1 mile per minute

( option A )

The graph of f(x) = -x2 - 2x + 8 is shown. Which of the following describes all solutions for f(x)?

O(x -x2 - 2x + 8) for all real numbers
O(-4,0), (-1,9), (0, 8), (2.0)
O(-4.0), (2,0)
O(x, y) for all real numbers

Answers

Answer:

[tex]f(x) = -x^2 - 2x + 8[/tex]

y-intercept is when x = 0:

[tex]\implies f(0) = -(0)^2 - 2(0) + 8=8[/tex]

So the y-intercept is (0, 8)

x-intercepts are when f(x) = 0:

[tex]\implies f(x)=0[/tex]

[tex]\implies -x^2 - 2x + 8=0[/tex]

[tex]\implies x^2 + 2x - 8=0[/tex]

[tex]\implies x^2 - 2x + 4x - 8=0[/tex]

[tex]\implies x(x - 2) + 4(x-2)=0[/tex]

[tex]\implies (x+4)(x - 2)=0[/tex]

Therefore:

[tex]\implies (x+4)=0 \implies x=-4[/tex]

[tex]\implies (x-2)=0 \implies x=2[/tex]

So the x-intercepts are (-4, 0) and (2, 0)

The vertex is the turning point of the parabola.  The x-value of the vertex is the x-value between the 2 zeros (x-intercepts).

Therefore, the x-value of the vertex is [tex]\sf \dfrac{x_1+x_2}{2}=\dfrac{-4+2}{2}=-1[/tex]

Substituting x = -1 into the function:

[tex]\implies f(-1) = -(-1)^2 - 2(-1) + 8=9[/tex]

So the vertex is (-1, 9)

The domain is the input values, so x = all real numbers.

The range is the output values, so the range is [tex]f(x)\leq 9[/tex]

Therefore, (-4, 0), (-1, 9), (0, 8) and (2, 0) are solutions of the function, HOWEVER they are not ALL the solutions.

All solutions of the function are:

[tex](x, -x^2 - 2x + 8)[/tex] for all real numbers of x

PLEASE HELP ILL GIVE FIVE STARS AND GIVE BRAINLIEST AND GIVE THANKS PLEASE HELP
Ray is x years old. His brother Ron is y years older than Ray.
What will the sum of their ages be in 5 years?

Answers

Answer: X+Y+5

Step-by-step explanation:

There is no single answer you have to write an equation.

No spammers pls and also giving brainliest to correct answer

Answers

Answer:

C. (5 , 6)

Step-by-step explanation:

a dilation of center O(0,0) and 3 as a scale factor :

Transform point (x , y) to point (3x , 3y)

Then it transforms R(1 , 2) to R’(3 , 6)

Now ,we translate R’(3 , 6) by the translation (x , y) ——-> (x+2 , y)

So , R’(3 , 6) ————> R’’(3+2 , 6)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

UW = 97 cm

Step-by-step explanation:

UW is congruent to VX and VX is 97 cm so UW would be 97 cm

Answer:

97

Step-by-step explanation:

As you can see, the marks on that trapezoid show that those 2 sides are equal in length, so both of those sides are equal.

Hope This Helps! :) Please Mark as Brainliest!

Which equation represents a line which is perpendicular to the line y = – 4/5+ 2
5x + 4y = 28
4x - 5y =-25
4y – 5x = -12
4x + 5y = -30

Answers

Start by putting equations in y equals form.
Add opposite sign x to the other side.
Divide by coefficient of y.
Y equals 7 minus 5/4X
Y equals 5 minus 4/5x
Y equals -3 plus 5/4X
Y equals -6 minus 4/5x
Perpendicular line is opposite slope.
Have -4/5 so want 5/4 as slope.
Only one is possible because of + sign.
The answer is the third one.
Mark as the best answer!
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Can anybody help me find these missing words for my Spanish homework I am struggling. Pleace help me! :'DD The exchange of genetic material between nonsister chromatids is called crossing-over and occurs during which phase of meiosis?. You toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.1. Label each column of rectangles with "Coin toss" or "Spinner." 2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue. 3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)5. What is the probability of tossing tails and spinning yellow? (1 point) Freemont Run Club surveyed a random sample of 303030 of their members about their running habits. Of the members surveyed,999 said that they run more than 555 days a week. There are 848484 Freemont Run Club members.Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 555 days a week? How does Kings speech to the Montgomery Improvement Association engage the listeners sense of justice? If you could have any career in ecology, what would it be and why? Provide 4-5 complete sentences explaining your answerecology careers-educatorhabitat plannerzookeeperland plannertechnical assistant natural resource manager Nixon recycles 6 cans every week. Which expression shows the total number of cans he recycles in w weeks? (1 point)O a6+ w.b6 + 5wOcw6Odw Which of the following sets what isknown as "Required Reserves?"A. individual banksB. Wall StreetC. Federal ReserveD. U.S. Congress need help pls. What force in society was the civil rights movement of the 1950s and 1960s most trying to overcome?A. Segregated housingB. Unemployment C. SlaveryD. Prejudice please help me i'll do anything Given an interest rate of 12% compounded yearly, Find the equivalent rate per year compounded monthly. In a particular city, 21 in 1.5 million people have been struck by lightning. What is the experimental probability of being struck by lightning in this city? A person invests 4000 dollars in a bank. The bank pays 5.75% interest compoundedquarterly. To the nearest tenth of a year, how long must the person leave the moneyin the bank until it reaches 5900 dollars?ntA = P(1+) 1. Lionel wants to compare the heights of his plants. What type of graph ou.ld be best for him to use? *pie or circle graphline graphbar graphOther:2. Kathy records how many cars of each color are in the parking lot and then turns those into percentages. What kind of graph should she use?pie or circle graphline graphbar graphOther:3. Find the mean of these numbers:5,11,2,12,4,24.14.5644. 3, 4, 5, 5, 5, 6,7 The range of these numbers is ...15452Other:5. In order to find the median, the data must be sorted from least to greatest first.TrueFalseOption 36. You use this type of graph when comparing a change over the course of time *pie or circle graphline graphbar graphOther:7, A middle school has 6th grade, 7th grade, and 8th grade teachers. The principal wants to determine what supplies to order for the supply closet. Which of the following represents a random sample of teachers?a. Surveying all the math teachersb. Surveying all the teachers who have bus dutyc. Surveying all the teachers who are marriedd. Surveying every fifth teacher according to the staff directory on the school website8. A student wants to know which type of of pizza high school students perfer. Which of the following options is a good, representative sample of the population?Asking all the 10th graders in the schoolAsking the school principal which type of pizza he perfersAsking 20 students from each grade levelAsking the students who walk to schoolOther: Despite its deadly flooding, the yellow river is important to china because ____. 1. In sheep, a gene with two alleles decides wool color. The allele for white wool isdominant to the allele for black wool. If two heterozygous sheep mate, whatpercentage of the sheep will have white wool? Record your answer as apercent. White woolBlack woolHINT: Create a Punnett square on scratch paper to determine the answer. Do bilinguals really dream in different language? HELP ASAP Refer to the diagram at the right. Give the area of eachregion in standard form.a. Shaded rectangleb. Larger rectanglec. Unshaded region Regarding intimate relationships, _______ tend to emphasize personal and relationship privacy issues while _______ tend to emphasize family and ingroup network connection issues.